cfc405549a980f081ce75455277c19c6 JouComEle_a2021v19n6p2232.pdf 239fd9ebd75d1a796c0f467fc5cd75c852949fbb JouComEle_a2021v19n6p2232.pdf 9569b0ab02831536f01f5642db2f08602726901ee6098b40bed42296f0ab995e JouComEle_a2021v19n6p2232.pdf Title: Can Wigner distribution functions with collisions satisfy complete positivity and energy conservation? Subject: Journal of Computational Electronics, https://doi.org/10.1007/s10825-021-01798-1 Keywords: Matter–light interaction,Wigner Function,Complete positivity,Energy conservation,Bohmian conditional wavefunction Author: Matteo Villani Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Mon Nov 22 14:16:29 2021 CET ModDate: Tue Nov 23 05:41:08 2021 CET Tagged: no UserProperties: no Suspects: no Form: AcroForm JavaScript: no Pages: 13 Encrypted: no Page size: 595.276 x 790.866 pts Page rot: 0 File size: 4104399 bytes Optimized: yes PDF version: 1.6 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- MyriadPro-SemiCn Type 1C WinAnsi yes no yes 3838 0 MyriadPro-SemiboldSemiCn Type 1C Custom yes no yes 3839 0 MyriadPro-Semibold Type 1C Custom yes no yes 3840 0 MyriadPro-Bold Type 1C Custom yes no yes 3836 0 BTCRZQ+STIX-Regular Type 1C Custom yes yes yes 3841 0 STIX-Italic Type 1C 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yes yes 2847 0 UVASFE+STIXMathExtensions-Regular24 Type 1C Custom yes yes yes 2842 0 LWTKJW+STIXGeneral-Italic47 Type 1C Custom yes yes no 2853 0 VTRNTC+STIXMath-Italic41 Type 1C Custom yes yes yes 2858 0 VTRNTC+STIXMath-Regular36 Type 1C Custom yes yes yes 2859 0 LWTKJW+STIXGeneral-Italic48 Type 1C Custom yes yes no 2841 0 VTRNTC+STIXGeneral-Regular30 Type 1C Custom yes yes no 2851 0 UVASFE+STIXMathExtensions-Regular25 Type 1C Custom yes yes yes 2872 0 VTRNTC+STIXMath-Italic42 Type 1C Custom yes yes yes 2871 0 VTRNTC+STIXMath-Regular37 Type 1C Custom yes yes yes 2860 0 LWTKJW+STIXGeneral-Italic49 Type 1C Custom yes yes no 2873 0 VTRNTC+STIXGeneral-Regular31 Type 1C Custom yes yes no 2877 0 LWTKJW+STIXGeneral-Italic50 Type 1C Custom yes yes no 2861 0 UVASFE+STIXMathExtensions-Regular26 Type 1C Custom yes yes yes 2865 0 LWTKJW+STIXGeneral-Italic51 Type 1C Custom yes yes no 2862 0 VTRNTC+STIXMath-Regular38 Type 1C Custom yes yes yes 2863 0 VTRNTC+STIXGeneral-Regular32 Type 1C Custom yes yes no 2864 0 UVASFE+STIXMathExtensions-Regular27 Type 1C Custom yes yes yes 2866 0 LWTKJW+STIXGeneral-Italic52 Type 1C Custom yes yes no 2867 0 VTRNTC+STIXMath-Regular39 Type 1C Custom yes yes yes 2868 0 VTRNTC+STIXGeneral-Regular33 Type 1C Custom yes yes no 2869 0 VTRNTC+STIXMath-Italic43 Type 1C Custom yes yes yes 2876 0 LWTKJW+STIXGeneral-Italic53 Type 1C Custom yes yes no 2874 0 VTRNTC+STIXGeneral-Regular34 Type 1C Custom yes yes no 2875 0 VTRNTC+STIXMath-Italic44 Type 1C Custom yes yes yes 2884 0 VTRNTC+STIXMath-Regular40 Type 1C Custom yes yes yes 2886 0 UVASFE+STIXMathExtensions-Regular28 Type 1C Custom yes yes yes 2885 0 VTRNTC+STIXGeneral-Regular35 Type 1C Custom yes yes no 2887 0 LWTKJW+STIXGeneral-Italic54 Type 1C Custom yes yes no 2888 0 VTRNTC+STIXMath-Regular41 Type 1C Custom yes yes yes 2889 0 VTRNTC+STIXGeneral-Regular36 Type 1C Custom yes yes no 2880 0 VTRNTC+STIXMath-Italic45 Type 1C Custom yes yes yes 2892 0 PTLONO+STIXMathCalligraphy-Regular Type 1C Custom yes yes no 2890 0 UVASFE+STIXMathExtensions-Regular29 Type 1C Custom yes yes yes 2882 0 VTRNTC+STIXMath-Regular42 Type 1C Custom yes yes yes 2893 0 LWTKJW+STIXGeneral-Italic55 Type 1C Custom yes yes no 2891 0 VTRNTC+STIXMath-Italic46 Type 1C Custom yes yes no 2878 0 LWTKJW+STIXGeneral-Italic56 Type 1C Custom yes yes no 2879 0 VTRNTC+STIXMath-Regular43 Type 1C Custom yes yes yes 2881 0 VTRNTC+STIXGeneral-Regular37 Type 1C Custom yes yes no 2752 0 VTRNTC+STIXMath-Italic47 Type 1C Custom yes yes no 2757 0 VTRNTC+STIXMath-Italic48 Type 1C Custom yes yes no 2755 0 LWTKJW+STIXGeneral-Italic57 Type 1C Custom yes yes no 2758 0 VTRNTC+STIXMath-Italic49 Type 1C Custom yes yes no 2751 0 VTRNTC+STIXMath-Italic50 Type 1C Custom yes yes yes 2753 0 LWTKJW+STIXGeneral-Italic58 Type 1C Custom yes yes no 2754 0 VTRNTC+STIXMath-Regular44 Type 1C Custom yes yes yes 2776 0 VTRNTC+STIXMath-Italic51 Type 1C Custom yes yes no 2773 0 LWTKJW+STIXGeneral-Italic59 Type 1C Custom yes yes no 2774 0 VTRNTC+STIXMath-Italic52 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Custom yes yes no 2786 0 VTRNTC+STIXMath-Regular47 Type 1C Custom yes yes yes 2784 0 LWTKJW+STIXGeneral-Italic65 Type 1C Custom yes yes no 2783 0 UVASFE+STIXMathExtensions-Regular32 Type 1C Custom yes yes yes 2777 0 LWTKJW+STIXGeneral-Italic66 Type 1C Custom yes yes no 2778 0 VTRNTC+STIXGeneral-Regular42 Type 1C Custom yes yes no 2779 0 VTRNTC+STIXMath-Italic56 Type 1C Custom yes yes no 2780 0 VTRNTC+STIXMath-Regular48 Type 1C Custom yes yes yes 2790 0 LWTKJW+STIXGeneral-Italic67 Type 1C Custom yes yes no 2789 0 VTRNTC+STIXGeneral-Regular43 Type 1C Custom yes yes no 2791 0 VTRNTC+STIXMath-Italic57 Type 1C Custom yes yes yes 2792 0 VTRNTC+STIXMath-Regular49 Type 1C Custom yes yes yes 2919 0 VTRNTC+STIXGeneral-Regular44 Type 1C Custom yes yes no 2908 0 FZHWDI+STIXMathSans-Regular Type 1C Custom yes yes yes 2902 0 VTRNTC+STIXMath-Italic58 Type 1C Custom yes yes no 2916 0 VTRNTC+STIXMath-Regular50 Type 1C Custom yes yes yes 2898 0 LWTKJW+STIXGeneral-Italic68 Type 1C Custom yes yes no 2918 0 VTRNTC+STIXGeneral-Regular45 Type 1C Custom yes yes no 2895 0 VTRNTC+STIXMath-Italic59 Type 1C Custom yes yes no 2897 0 LWTKJW+STIXGeneral-Italic69 Type 1C Custom yes yes no 2905 0 VTRNTC+STIXMath-Regular51 Type 1C Custom yes yes yes 2909 0 VTRNTC+STIXGeneral-Regular46 Type 1C Custom yes yes no 2910 0 LWTKJW+STIXGeneral-Italic70 Type 1C Custom yes yes no 2900 0 UVASFE+STIXMathExtensions-Regular33 Type 1C Custom yes yes yes 2915 0 LWTKJW+STIXGeneral-Italic71 Type 1C Custom yes yes no 2917 0 VTRNTC+STIXMath-Regular52 Type 1C Custom yes yes yes 2899 0 VTRNTC+STIXMath-Italic60 Type 1C Custom yes yes no 2894 0 LWTKJW+STIXGeneral-Italic72 Type 1C Custom yes yes no 2911 0 VTRNTC+STIXMath-Italic61 Type 1C Custom yes yes no 2896 0 VTRNTC+STIXMath-Italic62 Type 1C Custom yes yes no 2904 0 LWTKJW+STIXGeneral-Italic73 Type 1C Custom yes yes no 2906 0 VTRNTC+STIXMath-Regular53 Type 1C Custom yes yes yes 2907 0 VTRNTC+STIXMath-Italic63 Type 1C Custom yes yes yes 2913 0 VTRNTC+STIXMath-Italic64 Type 1C Custom yes yes no 2921 0 LWTKJW+STIXGeneral-Italic74 Type 1C Custom yes yes no 2927 0 VTRNTC+STIXGeneral-Regular47 Type 1C Custom yes yes no 2929 0 LWTKJW+STIXGeneral-Italic75 Type 1C Custom yes yes no 2928 0 VTRNTC+STIXMath-Regular54 Type 1C Custom yes yes yes 2932 0 VTRNTC+STIXGeneral-Regular48 Type 1C Custom yes yes no 2925 0 PTLONO+STIXMathCalligraphy-Regular2 Type 1C Custom yes yes yes 2924 0 VTRNTC+STIXMath-Italic65 Type 1C Custom yes yes no 2922 0 UVASFE+STIXMathExtensions-Regular34 Type 1C Custom yes yes yes 2935 0 LWTKJW+STIXGeneral-Italic76 Type 1C Custom yes yes no 2930 0 VTRNTC+STIXMath-Regular55 Type 1C Custom yes yes yes 2931 0 VTRNTC+STIXMath-Regular56 Type 1C Custom yes yes yes 2923 0 LWTKJW+STIXGeneral-Italic77 Type 1C Custom yes yes no 2933 0 VTRNTC+STIXMath-Italic66 Type 1C Custom yes yes no 2934 0 LWTKJW+STIXGeneral-Italic78 Type 1C Custom yes yes no 2941 0 VTRNTC+STIXMath-Regular57 Type 1C Custom yes yes yes 2936 0 VTRNTC+STIXGeneral-Regular49 Type 1C Custom yes yes no 2939 0 VTRNTC+STIXMath-Italic67 Type 1C Custom yes yes no 2947 0 UVASFE+STIXMathExtensions-Regular35 Type 1C Custom yes yes yes 2940 0 LWTKJW+STIXGeneral-Italic79 Type 1C Custom yes yes no 2942 0 VTRNTC+STIXMath-Regular58 Type 1C Custom yes yes yes 2944 0 VTRNTC+STIXMath-Italic68 Type 1C Custom yes yes no 2943 0 LWTKJW+STIXGeneral-Italic80 Type 1C Custom yes yes no 2953 0 VTRNTC+STIXMath-Regular59 Type 1C Custom yes yes yes 2945 0 LWTKJW+STIXGeneral-Italic81 Type 1C Custom yes yes no 2946 0 VTRNTC+STIXMath-Italic69 Type 1C Custom yes yes no 2954 0 VTRNTC+STIXMath-Italic70 Type 1C Custom yes yes no 2955 0 VTRNTC+STIXMath-Regular60 Type 1C Custom yes yes yes 2937 0 LWTKJW+STIXGeneral-Italic82 Type 1C Custom yes yes no 2948 0 VTRNTC+STIXGeneral-Regular50 Type 1C Custom yes yes no 2949 0 FZHWDI+STIXMathSans-Regular2 Type 1C Custom yes yes yes 2950 0 VTRNTC+STIXMath-Italic71 Type 1C Custom yes yes no 2960 0 LWTKJW+STIXGeneral-Italic83 Type 1C Custom yes yes no 2966 0 VTRNTC+STIXGeneral-Regular51 Type 1C Custom yes yes no 2970 0 VTRNTC+STIXMath-Regular61 Type 1C Custom yes yes yes 2973 0 VTRNTC+STIXGeneral-Regular52 Type 1C Custom yes yes no 2965 0 VTRNTC+STIXMath-Italic72 Type 1C Custom yes yes no 2967 0 LWTKJW+STIXGeneral-Italic84 Type 1C Custom yes yes no 2961 0 VTRNTC+STIXMath-Regular62 Type 1C Custom yes yes yes 2957 0 VTRNTC+STIXGeneral-Regular53 Type 1C Custom yes yes no 2974 0 LWTKJW+STIXGeneral-Italic85 Type 1C Custom yes yes no 2962 0 VTRNTC+STIXMath-Italic73 Type 1C Custom yes yes no 2956 0 VTRNTC+STIXMath-Italic74 Type 1C Custom yes yes no 2964 0 VTRNTC+STIXMath-Regular63 Type 1C Custom yes yes yes 2968 0 VTRNTC+STIXMath-Italic75 Type 1C Custom yes yes no 2969 0 LWTKJW+STIXGeneral-Italic86 Type 1C Custom yes yes no 2971 0 VTRNTC+STIXGeneral-Regular54 Type 1C Custom yes yes no 2972 0 VTRNTC+STIXMath-Italic76 Type 1C Custom yes yes no 2958 0 LWTKJW+STIXGeneral-Italic87 Type 1C Custom yes yes no 2959 0 VTRNTC+STIXMath-Regular64 Type 1C Custom yes yes yes 2988 0 VTRNTC+STIXGeneral-Regular55 Type 1C Custom yes yes no 2986 0 VTRNTC+STIXMath-Italic77 Type 1C Custom yes yes no 2982 0 LWTKJW+STIXGeneral-Italic88 Type 1C Custom yes yes no 2985 0 LWTKJW+STIXGeneral-Italic89 Type 1C Custom yes yes no 2987 0 VTRNTC+STIXMath-Italic78 Type 1C Custom yes yes yes 2989 0 LWTKJW+STIXGeneral-Italic90 Type 1C Custom yes yes no 2991 0 LWTKJW+STIXGeneral-Italic91 Type 1C Custom yes yes no 2975 0 VTRNTC+STIXMath-Italic79 Type 1C Custom yes yes yes 2994 0 UVASFE+STIXMathExtensions-Regular36 Type 1C Custom yes yes no 2981 0 VTRNTC+STIXMath-Italic80 Type 1C Custom yes yes no 2995 0 LWTKJW+STIXGeneral-Italic92 Type 1C Custom yes yes no 2978 0 VTRNTC+STIXMath-Regular65 Type 1C Custom yes yes yes 2983 0 VTRNTC+STIXGeneral-Regular56 Type 1C Custom yes yes no 2979 0 LWTKJW+STIXGeneral-Italic93 Type 1C Custom yes yes no 2990 0 VTRNTC+STIXMath-Italic81 Type 1C Custom yes yes no 2977 0 VTRNTC+STIXMath-Regular66 Type 1C Custom yes yes yes 2992 0 VTRNTC+STIXMath-Regular67 Type 1C Custom yes yes yes 2984 0 VTRNTC+STIXMath-Italic82 Type 1C Custom yes yes no 2980 0 VTRNTC+STIXMath-Regular68 Type 1C Custom yes yes yes 2976 0 LWTKJW+STIXGeneral-Italic94 Type 1C Custom yes yes no 2998 0 ZYDMXU+STIXGeneral-Regular57 Type 1C Custom yes yes no 3010 0 PTLONO+STIXMathCalligraphy-Regular3 Type 1C Custom yes yes no 3008 0 VTRNTC+STIXMath-Italic83 Type 1C Custom yes yes no 3004 0 LWTKJW+STIXGeneral-Italic95 Type 1C Custom yes yes no 2999 0 VTRNTC+STIXMath-Regular69 Type 1C Custom yes yes yes 2997 0 ZYDMXU+STIXGeneral-Regular58 Type 1C Custom yes yes no 3000 0 PTLONO+STIXMathCalligraphy-Regular4 Type 1C Custom yes yes no 3001 0 VTRNTC+STIXGeneral-Regular59 Type 1C Custom yes yes no 3011 0 LWTKJW+STIXGeneral-Italic96 Type 1C Custom yes yes no 3002 0 VTRNTC+STIXMath-Italic84 Type 1C Custom yes yes no 3003 0 VTRNTC+STIXMath-Regular70 Type 1C Custom yes yes yes 3005 0 ZYDMXU+STIXGeneral-Regular60 Type 1C Custom yes yes no 3006 0 UVASFE+STIXMathExtensions-Regular37 Type 1C Custom yes yes no 3007 0 VTRNTC+STIXMath-Italic85 Type 1C Custom yes yes no 3009 0 VTRNTC+STIXMath-Italic86 Type 1C Custom yes yes no 3012 0 LWTKJW+STIXGeneral-Italic97 Type 1C Custom yes yes no 2996 0 VTRNTC+STIXMath-Regular71 Type 1C Custom yes yes yes 3024 0 VTRNTC+STIXGeneral-Regular61 Type 1C Custom yes yes no 3014 0 VTRNTC+STIXMath-Italic87 Type 1C Custom yes yes no 3028 0 VTRNTC+STIXGeneral-Regular62 Type 1C Custom yes yes no 3025 0 VTRNTC+STIXMath-Regular72 Type 1C Custom yes yes yes 3026 0 LWTKJW+STIXGeneral-Italic98 Type 1C Custom yes yes no 3016 0 VTRNTC+STIXMath-Italic88 Type 1C Custom yes yes no 3017 0 VTRNTC+STIXGeneral-Regular63 Type 1C Custom yes yes no 3029 0 VTRNTC+STIXMath-Regular73 Type 1C Custom yes yes no 3030 0 VTRNTC+STIXMath-Regular74 Type 1C Custom yes yes yes 3021 0 LWTKJW+STIXGeneral-Italic99 Type 1C Custom yes yes no 3031 0 VTRNTC+STIXMath-Italic89 Type 1C Custom yes yes no 3015 0 LWTKJW+STIXGeneral-Italic100 Type 1C Custom yes yes no 3018 0 VTRNTC+STIXMath-Regular75 Type 1C Custom yes yes yes 3019 0 VTRNTC+STIXGeneral-Regular64 Type 1C Custom yes yes no 3032 0 VTRNTC+STIXMath-Italic90 Type 1C Custom yes yes no 3020 0 LWTKJW+STIXGeneral-Italic101 Type 1C Custom yes yes no 3013 0 VTRNTC+STIXMath-Regular76 Type 1C Custom yes yes yes 3022 0 VTRNTC+STIXGeneral-Regular65 Type 1C Custom yes yes no 3023 0 VTRNTC+STIXMath-Italic91 Type 1C Custom yes yes no 3038 0 VTRNTC+STIXMath-Italic92 Type 1C Custom yes yes no 3034 0 VTRNTC+STIXGeneral-Regular66 Type 1C Custom yes yes no 3043 0 VTRNTC+STIXMath-Regular77 Type 1C Custom yes yes yes 3041 0 LWTKJW+STIXGeneral-Italic102 Type 1C Custom yes yes no 3033 0 VTRNTC+STIXMath-Italic93 Type 1C Custom yes yes no 3039 0 VTRNTC+STIXGeneral-Regular67 Type 1C Custom yes yes no 3049 0 VTRNTC+STIXMath-Regular78 Type 1C Custom yes yes yes 3035 0 LWTKJW+STIXGeneral-Italic103 Type 1C Custom yes yes no 3042 0 VTRNTC+STIXMath-Italic94 Type 1C Custom yes yes no 3048 0 VTRNTC+STIXMath-Regular79 Type 1C Custom yes yes yes 3050 0 VTRNTC+STIXGeneral-Regular68 Type 1C Custom yes yes no 3047 0 PTLONO+STIXMathCalligraphy-Regular5 Type 1C Custom yes yes yes 3051 0 VTRNTC+STIXGeneral-Regular69 Type 1C Custom yes yes no 3036 0 LWTKJW+STIXGeneral-Italic104 Type 1C Custom yes yes no 3037 0 PTLONO+STIXMathCalligraphy-Regular6 Type 1C Custom yes yes yes 3040 0 VTRNTC+STIXMath-Italic95 Type 1C Custom yes yes no 3044 0 VTRNTC+STIXGeneral-Regular70 Type 1C Custom yes yes no 3045 0 VTRNTC+STIXMath-Regular80 Type 1C Custom yes yes yes 3046 0 LWTKJW+STIXGeneral-Italic105 Type 1C Custom yes yes no 3068 0 VTRNTC+STIXMath-Italic96 Type 1C Custom yes yes no 3067 0 LWTKJW+STIXGeneral-Italic106 Type 1C Custom yes yes no 3057 0 VTRNTC+STIXMath-Regular81 Type 1C Custom yes yes yes 3054 0 VTRNTC+STIXMath-Regular82 Type 1C Custom yes yes yes 3066 0 VTRNTC+STIXGeneral-Regular71 Type 1C Custom yes yes no 3055 0 VTRNTC+STIXMath-Italic97 Type 1C Custom yes yes no 3063 0 LWTKJW+STIXGeneral-Italic107 Type 1C Custom yes yes no 3069 0 VTRNTC+STIXMath-Regular83 Type 1C Custom yes yes yes 3060 0 VTRNTC+STIXGeneral-Regular72 Type 1C Custom yes yes no 3064 0 VTRNTC+STIXMath-Italic98 Type 1C Custom yes yes no 3056 0 VTRNTC+STIXMath-Regular84 Type 1C Custom yes yes yes 3052 0 LWTKJW+STIXGeneral-Italic108 Type 1C Custom yes yes no 3053 0 LWTKJW+STIXGeneral-Italic109 Type 1C Custom yes yes no 3058 0 VTRNTC+STIXGeneral-Regular73 Type 1C Custom yes yes no 3059 0 VTRNTC+STIXMath-Italic99 Type 1C Custom yes yes no 3061 0 VTRNTC+STIXMath-Regular85 Type 1C Custom yes yes yes 3065 0 LWTKJW+STIXGeneral-Italic110 Type 1C Custom yes yes no 3062 0 VTRNTC+STIXGeneral-Regular74 Type 1C Custom yes yes no 3082 0 PTLONO+STIXMathCalligraphy-Regular7 Type 1C Custom yes yes yes 3085 0 VTRNTC+STIXMath-Italic100 Type 1C Custom yes yes no 3078 0 VTRNTC+STIXMath-Regular86 Type 1C Custom yes yes yes 3079 0 LWTKJW+STIXGeneral-Italic111 Type 1C Custom yes yes no 3086 0 VTRNTC+STIXMath-Italic101 Type 1C Custom yes yes no 3087 0 VTRNTC+STIXGeneral-Regular75 Type 1C Custom yes yes no 3072 0 VTRNTC+STIXMath-Italic102 Type 1C Custom yes yes no 3074 0 LWTKJW+STIXGeneral-Italic112 Type 1C Custom yes yes no 3076 0 VTRNTC+STIXMath-Regular87 Type 1C Custom yes yes yes 3073 0 VTRNTC+STIXGeneral-Regular76 Type 1C Custom yes yes no 3083 0 PTLONO+STIXMathCalligraphy-Regular8 Type 1C Custom yes yes no 3070 0 LWTKJW+STIXGeneral-Italic113 Type 1C Custom yes yes no 3071 0 VTRNTC+STIXMath-Italic103 Type 1C Custom yes yes no 3081 0 VTRNTC+STIXMath-Regular88 Type 1C Custom yes yes yes 3075 0 VTRNTC+STIXGeneral-Regular77 Type 1C Custom yes yes no 3080 0 VTRNTC+STIXGeneral-Regular78 Type 1C Custom yes yes no 3084 0 UVASFE+STIXMathExtensions-Regular38 Type 1C Custom yes yes no 3097 0 LWTKJW+STIXGeneral-Italic114 Type 1C Custom yes yes no 3088 0 VTRNTC+STIXMath-Italic104 Type 1C Custom yes yes no 3092 0 VTRNTC+STIXMath-Regular89 Type 1C Custom yes yes yes 3089 0 ZYDMXU+STIXGeneral-Regular79 Type 1C Custom yes yes no 3090 0 UVASFE+STIXMathExtensions-Regular39 Type 1C Custom yes yes no 3096 0 LWTKJW+STIXGeneral-Italic115 Type 1C Custom yes yes no 3098 0 VTRNTC+STIXMath-Italic105 Type 1C Custom yes yes no 3094 0 VTRNTC+STIXMath-Regular90 Type 1C Custom yes yes yes 3095 0 LWTKJW+STIXGeneral-Italic116 Type 1C Custom yes yes no 3093 0 VTRNTC+STIXMath-Italic106 Type 1C Custom yes yes no 3246 0 LWTKJW+STIXGeneral-Italic117 Type 1C Custom yes yes no 3247 0 VTRNTC+STIXMath-Regular91 Type 1C Custom yes yes yes 3239 0 VTRNTC+STIXGeneral-Regular80 Type 1C Custom yes yes no 3248 0 PTLONO+STIXMathCalligraphy-Regular9 Type 1C Custom yes yes yes 3249 0 LWTKJW+STIXGeneral-Italic118 Type 1C Custom yes yes no 3253 0 UVASFE+STIXMathExtensions-Regular40 Type 1C Custom yes yes no 3254 0 VTRNTC+STIXMath-Italic107 Type 1C Custom yes yes no 3255 0 VTRNTC+STIXMath-Regular92 Type 1C Custom yes yes yes 3250 0 VTRNTC+STIXGeneral-Regular81 Type 1C Custom yes yes no 3256 0 VTRNTC+STIXMath-Italic108 Type 1C Custom yes yes no 3252 0 UVASFE+STIXMathExtensions-Regular41 Type 1C Custom yes yes yes 3238 0 VTRNTC+STIXGeneral-Regular82 Type 1C Custom yes yes no 3251 0 VTRNTC+STIXMath-Regular93 Type 1C Custom yes yes yes 3244 0 LWTKJW+STIXGeneral-Italic119 Type 1C Custom yes yes no 3243 0 VTRNTC+STIXMath-Italic109 Type 1C Custom yes yes no 3245 0 VTRNTC+STIXGeneral-Regular83 Type 1C Custom yes yes no 3240 0 VTRNTC+STIXMath-Regular94 Type 1C Custom yes yes yes 3241 0 LWTKJW+STIXGeneral-Italic120 Type 1C Custom yes yes no 3242 0 LWTKJW+STIXGeneral-Italic121 Type 1C Custom yes yes no 3274 0 VTRNTC+STIXMath-Regular95 Type 1C Custom yes yes yes 3269 0 LWTKJW+STIXGeneral-Italic122 Type 1C Custom yes yes no 3263 0 VTRNTC+STIXMath-Italic110 Type 1C Custom yes yes no 3262 0 LWTKJW+STIXGeneral-Italic123 Type 1C Custom yes yes no 3266 0 VTRNTC+STIXMath-Regular96 Type 1C Custom yes yes yes 3257 0 VTRNTC+STIXGeneral-Regular84 Type 1C Custom yes yes no 3267 0 VTRNTC+STIXMath-Italic111 Type 1C Custom yes yes no 3264 0 VTRNTC+STIXMath-Italic112 Type 1C Custom yes yes no 3259 0 VTRNTC+STIXMath-Italic113 Type 1C Custom yes yes no 3271 0 LWTKJW+STIXGeneral-Italic124 Type 1C Custom yes yes no 3260 0 VTRNTC+STIXMath-Regular97 Type 1C Custom yes yes yes 3265 0 VTRNTC+STIXGeneral-Regular85 Type 1C Custom yes yes no 3261 0 VTRNTC+STIXMath-Italic114 Type 1C Custom yes yes no 3268 0 LWTKJW+STIXGeneral-Italic125 Type 1C Custom yes yes no 3270 0 VTRNTC+STIXMath-Regular98 Type 1C Custom yes yes yes 3272 0 VTRNTC+STIXGeneral-Regular86 Type 1C Custom yes yes no 3273 0 VTRNTC+STIXMath-Italic115 Type 1C Custom yes yes no 3146 0 LWTKJW+STIXGeneral-Italic126 Type 1C Custom yes yes no 3143 0 LWTKJW+STIXGeneral-Italic127 Type 1C Custom yes yes no 3138 0 VTRNTC+STIXMath-Regular99 Type 1C Custom yes yes yes 3145 0 VTRNTC+STIXGeneral-Regular87 Type 1C Custom yes yes no 3128 0 VTRNTC+STIXMath-Italic116 Type 1C Custom yes yes no 3137 0 LWTKJW+STIXGeneral-Italic128 Type 1C Custom yes yes no 3140 0 VTRNTC+STIXMath-Regular100 Type 1C Custom yes yes yes 3136 0 VTRNTC+STIXGeneral-Regular88 Type 1C Custom yes yes no 3132 0 VTRNTC+STIXMath-Italic117 Type 1C Custom yes yes no 3129 0 VTRNTC+STIXMath-Regular101 Type 1C Custom yes yes yes 3130 0 LWTKJW+STIXGeneral-Italic129 Type 1C Custom yes yes no 3127 0 VTRNTC+STIXGeneral-Regular89 Type 1C Custom yes yes no 3131 0 VTRNTC+STIXMath-Regular102 Type 1C Custom yes yes yes 3133 0 VTRNTC+STIXMath-Italic118 Type 1C Custom yes yes no 3134 0 VTRNTC+STIXMath-Regular103 Type 1C Custom yes yes yes 3139 0 LWTKJW+STIXGeneral-Italic130 Type 1C Custom yes yes no 3135 0 VTRNTC+STIXGeneral-Regular90 Type 1C Custom yes yes no 3141 0 LWTKJW+STIXGeneral-Italic131 Type 1C Custom yes yes no 3142 0 VTRNTC+STIXMath-Italic119 Type 1C Custom yes yes no 3144 0 LWTKJW+STIXGeneral-Italic132 Type 1C Custom yes yes no 3155 0 VTRNTC+STIXMath-Regular104 Type 1C Custom yes yes yes 3159 0 VTRNTC+STIXGeneral-Regular91 Type 1C Custom yes yes no 3153 0 VTRNTC+STIXMath-Italic120 Type 1C Custom yes yes no 3154 0 VTRNTC+STIXMath-Regular105 Type 1C Custom yes yes yes 3148 0 LWTKJW+STIXGeneral-Italic133 Type 1C Custom yes yes no 3149 0 VTRNTC+STIXGeneral-Regular92 Type 1C Custom yes yes no 3160 0 VTRNTC+STIXMath-Italic121 Type 1C Custom yes yes no 3152 0 LWTKJW+STIXGeneral-Italic134 Type 1C Custom yes yes no 3156 0 VTRNTC+STIXMath-Regular106 Type 1C Custom yes yes yes 3157 0 VTRNTC+STIXGeneral-Regular93 Type 1C Custom yes yes no 3162 0 VTRNTC+STIXMath-Italic122 Type 1C Custom yes yes no 3158 0 VTRNTC+STIXMath-Regular107 Type 1C Custom yes yes yes 3161 0 LWTKJW+STIXGeneral-Italic135 Type 1C Custom yes yes no 3150 0 LWTKJW+STIXGeneral-Italic136 Type 1C Custom yes yes no 3163 0 ZYDMXU+STIXGeneral-Regular94 Type 1C Custom yes yes no 3147 0 PTLONO+STIXMathCalligraphy-Regular10 Type 1C Custom yes yes no 3151 0 VTRNTC+STIXMath-Italic123 Type 1C Custom yes yes no 3166 0 LWTKJW+STIXGeneral-Italic137 Type 1C Custom yes yes no 3176 0 VTRNTC+STIXMath-Regular108 Type 1C Custom yes yes yes 3175 0 ZYDMXU+STIXGeneral-Regular95 Type 1C Custom yes yes no 3178 0 PTLONO+STIXMathCalligraphy-Regular11 Type 1C Custom yes yes no 3174 0 LWTKJW+STIXGeneral-Italic138 Type 1C Custom yes yes no 3172 0 VTRNTC+STIXMath-Regular109 Type 1C Custom yes yes yes 3177 0 VTRNTC+STIXMath-Regular110 Type 1C Custom yes yes yes 3164 0 VTRNTC+STIXMath-Italic124 Type 1C Custom yes yes no 3167 0 ZYDMXU+STIXGeneral-Regular96 Type 1C Custom yes yes no 3179 0 PTLONO+STIXMathCalligraphy-Regular12 Type 1C Custom yes yes no 3169 0 LWTKJW+STIXGeneral-Italic139 Type 1C Custom yes yes no 3170 0 VTRNTC+STIXMath-Regular111 Type 1C Custom yes yes yes 3165 0 VTRNTC+STIXGeneral-Regular97 Type 1C Custom yes yes no 3180 0 LWTKJW+STIXGeneral-Italic140 Type 1C Custom yes yes no 3171 0 VTRNTC+STIXGeneral-Regular98 Type 1C Custom yes yes no 3173 0 VTRNTC+STIXMath-Italic125 Type 1C Custom yes yes no 3168 0 VTRNTC+STIXGeneral-Regular99 Type 1C Custom yes yes no 3198 0 LWTKJW+STIXGeneral-Italic141 Type 1C Custom yes yes no 3195 0 VTRNTC+STIXMath-Regular112 Type 1C Custom yes yes yes 3188 0 VTRNTC+STIXGeneral-Regular100 Type 1C Custom yes yes no 3183 0 VTRNTC+STIXMath-Italic126 Type 1C Custom yes yes no 3196 0 LWTKJW+STIXGeneral-Italic142 Type 1C Custom yes yes no 3199 0 VTRNTC+STIXMath-Regular113 Type 1C Custom yes yes yes 3185 0 VTRNTC+STIXGeneral-Regular101 Type 1C Custom yes yes no 3181 0 VTRNTC+STIXMath-Italic127 Type 1C Custom yes yes no 3186 0 LWTKJW+STIXGeneral-Italic143 Type 1C Custom yes yes no 3184 0 VTRNTC+STIXMath-Regular114 Type 1C Custom yes yes yes 3197 0 PTLONO+STIXMathCalligraphy-Regular13 Type 1C Custom yes yes yes 3182 0 VTRNTC+STIXGeneral-Regular102 Type 1C Custom yes yes no 3189 0 VTRNTC+STIXMath-Italic128 Type 1C Custom yes yes no 3190 0 LWTKJW+STIXGeneral-Italic144 Type 1C Custom yes yes no 3191 0 VTRNTC+STIXMath-Regular115 Type 1C Custom yes yes yes 3187 0 VTRNTC+STIXGeneral-Regular103 Type 1C Custom yes yes no 3192 0 VTRNTC+STIXMath-Italic129 Type 1C Custom yes yes no 3193 0 LWTKJW+STIXGeneral-Italic145 Type 1C Custom yes yes no 3194 0 VTRNTC+STIXMath-Regular116 Type 1C Custom yes yes yes 3201 0 VTRNTC+STIXGeneral-Regular104 Type 1C Custom yes yes no 3202 0 VTRNTC+STIXMath-Italic130 Type 1C Custom yes yes no 3200 0 UVASFE+STIXMathExtensions-Regular42 Type 1C Custom yes yes yes 3282 0 LWTKJW+STIXGeneral-Italic146 Type 1C Custom yes yes no 3279 0 VTRNTC+STIXMath-Regular117 Type 1C Custom yes yes yes 3284 0 VTRNTC+STIXGeneral-Regular105 Type 1C Custom yes yes no 3283 0 UVASFE+STIXMathExtensions-Regular43 Type 1C Custom yes yes yes 3285 0 LWTKJW+STIXGeneral-Italic147 Type 1C Custom yes yes no 3275 0 VTRNTC+STIXMath-Regular118 Type 1C Custom yes yes yes 3276 0 VTRNTC+STIXGeneral-Regular106 Type 1C Custom yes yes no 3277 0 FXBRDI+STIXMathScript-Regular Type 1C Custom yes yes yes 3278 0 VTRNTC+STIXMath-Regular119 Type 1C Custom yes yes yes 3281 0 VTRNTC+STIXMath-Italic131 Type 1C Custom yes yes no 3292 0 VTRNTC+STIXGeneral-Regular107 Type 1C Custom yes yes no 3304 0 UVASFE+STIXMathExtensions-Regular44 Type 1C Custom yes yes yes 3298 0 LWTKJW+STIXGeneral-Italic148 Type 1C Custom yes yes no 3300 0 VTRNTC+STIXMath-Regular120 Type 1C Custom yes yes yes 3287 0 VTRNTC+STIXGeneral-Regular108 Type 1C Custom yes yes no 3295 0 UVASFE+STIXMathExtensions-Regular45 Type 1C Custom yes yes yes 3305 0 LWTKJW+STIXGeneral-Italic149 Type 1C Custom yes yes no 3296 0 VTRNTC+STIXMath-Regular121 Type 1C Custom yes yes yes 3294 0 VTRNTC+STIXGeneral-Regular109 Type 1C Custom yes yes no 3299 0 FXBRDI+STIXMathScript-Regular2 Type 1C Custom yes yes yes 3297 0 LWTKJW+STIXGeneral-Italic150 Type 1C Custom yes yes no 3293 0 VTRNTC+STIXMath-Regular122 Type 1C Custom yes yes yes 3302 0 VTRNTC+STIXGeneral-Regular110 Type 1C Custom yes yes no 3286 0 VTRNTC+STIXMath-Italic132 Type 1C Custom yes yes no 3308 0 VTRNTC+STIXMath-Regular123 Type 1C Custom yes yes yes 3306 0 LWTKJW+STIXGeneral-Italic151 Type 1C Custom yes yes no 3307 0 VTRNTC+STIXGeneral-Regular111 Type 1C Custom yes yes no 3290 0 FZHWDI+STIXMathSans-Regular3 Type 1C Custom yes yes yes 3322 0 VTRNTC+STIXMath-Italic133 Type 1C Custom yes yes no 3315 0 VTRNTC+STIXMath-Regular124 Type 1C Custom yes yes yes 3316 0 LWTKJW+STIXGeneral-Italic152 Type 1C Custom yes yes no 3321 0 LWTKJW+STIXGeneral-Italic153 Type 1C Custom yes yes no 3317 0 VTRNTC+STIXGeneral-Regular112 Type 1C Custom yes yes no 3323 0 FZHWDI+STIXMathSans-Regular4 Type 1C Custom yes yes yes 3312 0 UVASFE+STIXMathExtensions-Regular46 Type 1C Custom yes yes yes 3324 0 LWTKJW+STIXGeneral-Italic154 Type 1C Custom yes yes no 3318 0 VTRNTC+STIXMath-Regular125 Type 1C Custom yes yes yes 3319 0 VTRNTC+STIXGeneral-Regular113 Type 1C Custom yes yes no 3309 0 UVASFE+STIXMathExtensions-Regular47 Type 1C Custom yes yes yes 3311 0 LWTKJW+STIXGeneral-Italic155 Type 1C Custom yes yes no 3320 0 VTRNTC+STIXMath-Regular126 Type 1C Custom yes yes yes 3310 0 VTRNTC+STIXGeneral-Regular114 Type 1C Custom yes yes no 3313 0 VTRNTC+STIXMath-Italic134 Type 1C Custom yes yes no 3314 0 FXBRDI+STIXMathScript-Regular3 Type 1C Custom yes yes yes 3325 0 VTRNTC+STIXMath-Regular127 Type 1C Custom yes yes yes 3327 0 VTRNTC+STIXGeneral-Regular115 Type 1C Custom yes yes no 3326 0 LDRBOI+STIX-Bold Type 1C WinAnsi yes yes yes 3332 0 UVASFE+STIXMathExtensions-Regular48 Type 1C Custom yes yes yes 3333 0 ZXQNXU+STIXGeneral-Italic156 Type 1C Custom yes yes no 3334 0 ZXQNXU+STIXMath-Regular128 Type 1C Custom yes yes no 3335 0 ZYDMXU+STIXGeneral-Regular116 Type 1C Custom yes yes no 3336 0 UVASFE+STIXMathExtensions-Regular49 Type 1C Custom yes yes yes 3337 0 LWTKJW+STIXGeneral-Italic157 Type 1C Custom yes yes no 3338 0 ZXQNXU+STIXGeneral-Italic158 Type 1C Custom yes yes no 3339 0 ZXQNXU+STIXMath-Regular129 Type 1C Custom yes yes no 3340 0 ZYDMXU+STIXGeneral-Regular117 Type 1C Custom yes yes no 3330 0 VTRNTC+STIXMath-Regular130 Type 1C Custom yes yes yes 3331 0 VTRNTC+STIXGeneral-Regular118 Type 1C Custom yes yes no 3341 0 VTRNTC+STIXGeneral-Regular119 Type 1C Custom yes yes no 3343 0 FXBRDI+STIXMathScript-Regular4 Type 1C Custom yes yes yes 3414 0 VTRNTC+STIXMath-Regular131 Type 1C Custom yes yes yes 3409 0 VTRNTC+STIXGeneral-Regular120 Type 1C Custom yes yes no 3404 0 VTRNTC+STIXMath-Italic135 Type 1C Custom yes yes no 3411 0 VTRNTC+STIXMath-Regular132 Type 1C Custom yes yes yes 3410 0 LWTKJW+STIXGeneral-Italic159 Type 1C Custom yes yes no 3412 0 VTRNTC+STIXGeneral-Regular121 Type 1C Custom yes yes no 3405 0 FZHWDI+STIXMathSans-Regular5 Type 1C Custom yes yes yes 3413 0 UVASFE+STIXMathExtensions-Regular50 Type 1C Custom yes yes yes 3415 0 LWTKJW+STIXGeneral-Italic160 Type 1C Custom yes yes no 3416 0 VTRNTC+STIXMath-Regular133 Type 1C Custom yes yes yes 3417 0 VTRNTC+STIXGeneral-Regular122 Type 1C Custom yes yes no 3406 0 LWTKJW+STIXGeneral-Italic161 Type 1C Custom yes yes no 3407 0 VTRNTC+STIXMath-Regular134 Type 1C Custom yes yes yes 3408 0 VTRNTC+STIXGeneral-Regular123 Type 1C Custom yes yes no 3418 0 UVASFE+STIXMathExtensions-Regular51 Type 1C Custom yes yes yes 3421 0 LWTKJW+STIXGeneral-Italic162 Type 1C Custom yes yes no 3419 0 VTRNTC+STIXMath-Regular135 Type 1C Custom yes yes yes 3422 0 VTRNTC+STIXGeneral-Regular124 Type 1C Custom yes yes no 3420 0 VTRNTC+STIXMath-Regular136 Type 1C Custom yes yes yes 3493 0 LWTKJW+STIXGeneral-Italic163 Type 1C Custom yes yes no 3489 0 VTRNTC+STIXGeneral-Regular125 Type 1C Custom yes yes no 3490 0 FZHWDI+STIXMathSans-Regular6 Type 1C Custom yes yes yes 3491 0 VTRNTC+STIXMath-Italic136 Type 1C Custom yes yes no 3492 0 LWTKJW+STIXGeneral-Italic164 Type 1C Custom yes yes no 3494 0 VTRNTC+STIXMath-Regular137 Type 1C Custom yes yes yes 3495 0 VTRNTC+STIXGeneral-Regular126 Type 1C Custom yes yes no 3496 0 LWTKJW+STIXGeneral-Italic165 Type 1C Custom yes yes no 3497 0 VTRNTC+STIXMath-Regular138 Type 1C Custom yes yes yes 3498 0 LWTKJW+STIXGeneral-Italic166 Type 1C Custom yes yes no 3499 0 VTRNTC+STIXGeneral-Regular127 Type 1C Custom yes yes no 3500 0 LWTKJW+STIXGeneral-Italic167 Type 1C Custom yes yes no 3501 0 VTRNTC+STIXMath-Regular139 Type 1C Custom yes yes yes 3514 0 VTRNTC+STIXGeneral-Regular128 Type 1C Custom yes yes no 3513 0 LWTKJW+STIXGeneral-Italic168 Type 1C Custom yes yes no 3516 0 VTRNTC+STIXMath-Regular140 Type 1C Custom yes yes yes 3505 0 VTRNTC+STIXGeneral-Regular129 Type 1C Custom yes yes no 3504 0 UVASFE+STIXMathExtensions-Regular52 Type 1C Custom yes yes yes 3515 0 LWTKJW+STIXGeneral-Italic169 Type 1C Custom yes yes no 3506 0 VTRNTC+STIXMath-Regular141 Type 1C Custom yes yes yes 3502 0 LWTKJW+STIXGeneral-Italic170 Type 1C Custom yes yes no 3510 0 LWTKJW+STIXGeneral-Italic171 Type 1C Custom yes yes no 3507 0 VTRNTC+STIXMath-Italic137 Type 1C Custom yes yes no 3508 0 VTRNTC+STIXMath-Italic138 Type 1C Custom yes yes no 3518 0 VTRNTC+STIXMath-Regular142 Type 1C Custom yes yes yes 3509 0 LWTKJW+STIXGeneral-Italic172 Type 1C Custom yes yes no 3511 0 ZYDMXU+STIXGeneral-Regular130 Type 1C Custom yes yes no 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VTRNTC+STIXGeneral-Regular151 Type 1C Custom yes yes no 3609 0 VTRNTC+STIXMath-Italic150 Type 1C Custom yes yes no 3612 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2022-02-11 02:27:34 CET RepresentationInformation: JouComEle_a2021v19n6p2232.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-02-10 15:36:12 CET Size: 4104399 Format: PDF Version: 1.6 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 3938 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: false CenterWindow: false DisplayDocTitle: false NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Language: EN Outlines: Item: Title: Can Wigner distribution functions with collisions satisfy complete positivity and energy conservation? Children: Item: Title: Abstract Item: Title: 1 Introduction Item: Title: 2 Problems in modeling collisions Children: Item: Title: 2.1 The problem of complete positivity Item: Title: 2.2 The problem of energy conservation Item: Title: 3 Exact and approximate models for matter-light interaction Children: Item: Title: 3.1 Exact electron–photon interaction Item: Title: 3.2 Modeling electron–photon collisions as energy exchange Item: Title: 3.3 Modeling electron–photon collisions as momentum exchange Item: Title: 4 Numerical results Children: Item: Title: 4.1 Exact evolution of the Wigner function Item: Title: 4.2 Approximate evolution of the Wigner function in free space Item: Title: 4.3 Approximate evolution of the Wigner function with potential barriers Item: Title: 5 Does Wigner function satisfy complete positivity and energy conservation? Children: Item: Title: 5.1 Are collisions a source of time irreversibility ? Item: Title: 6 Conclusions Item: Title: References Info: Title: Can Wigner distribution functions with collisions satisfy complete positivity and energy conservation? Author: Matteo Villani Subject: Journal of Computational Electronics, https://doi.org/10.1007/s10825-021-01798-1 Keywords: Matter light interaction,Wigner Function,Complete positivity,Energy conservation,Bohmian conditional wavefunction Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Mon Nov 22 14:46:29 CET 2021 ModDate: Tue Nov 23 06:11:08 CET 2021 ID: 0xf7331ba9836f864ab10cbe878fe9a828, 0xc9fc8d178796224d913135735d1a2489 Filters: FilterPipeline: FlateDecode Images: Image: NisoImageMetadata: FormatName: image/png ImageWidth: 2029 ImageHeight: 417 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Intent: RelativeColorimetric Name: X Image: NisoImageMetadata: FormatName: image/png ImageWidth: 2029 ImageHeight: 1076 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Intent: RelativeColorimetric Name: X Image: NisoImageMetadata: FormatName: image/png ImageWidth: 2029 ImageHeight: 417 ColorSpace: RGB 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Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular110 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular110 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular111 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular111 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic123 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic123 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic124 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic124 Flags: 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FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic140 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic138 FontSubset: true FirstChar: 25 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic138 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular98 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular98 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: PTLONO+STIXMathCalligraphy-Regular11 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: PTLONO+STIXMathCalligraphy-Regular11 Flags: Symbolic FontBBox: 0, -320, 1035, 2000 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular108 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular108 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic137 FontSubset: true FirstChar: 24 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic137 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular109 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular109 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: ZYDMXU+STIXGeneral-Regular95 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: ZYDMXU+STIXGeneral-Regular95 Flags: Symbolic, AllCap FontBBox: 0, -122, 460, 676 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: ZYDMXU+STIXGeneral-Regular96 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: ZYDMXU+STIXGeneral-Regular96 Flags: Symbolic, AllCap FontBBox: 0, -122, 460, 676 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular97 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular97 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular101 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular101 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: PTLONO+STIXMathCalligraphy-Regular13 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: PTLONO+STIXMathCalligraphy-Regular13 Flags: Symbolic FontBBox: 0, -320, 1035, 2000 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular100 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular100 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic143 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic143 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular113 FontSubset: true 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BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular102 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular102 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic128 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic128 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic144 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic144 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular103 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular103 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic129 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic129 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic145 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic145 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic141 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic141 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: 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FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular41 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular91 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular91 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular83 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular83 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular94 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular94 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic120 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic120 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic119 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic119 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular93 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular93 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic109 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic109 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic106 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic106 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic117 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic117 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular80 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular80 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: PTLONO+STIXMathCalligraphy-Regular9 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: PTLONO+STIXMathCalligraphy-Regular9 Flags: Symbolic FontBBox: 0, -320, 1035, 2000 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular92 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular92 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular82 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular82 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic108 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic108 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic118 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic118 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular40 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular40 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic107 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic107 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding 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LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular112 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular46 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular46 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: FXBRDI+STIXMathScript-Regular3 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: FXBRDI+STIXMathScript-Regular3 Flags: Symbolic FontBBox: 0, 0, 203, 313 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular115 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular115 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 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FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic11 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular7 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular7 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic11 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic11 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular5 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular5 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular8 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular8 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular9 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular9 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic13 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic13 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic14 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic14 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular2 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular2 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic12 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic12 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular4 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular4 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular5 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular5 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic12 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic12 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular6 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular6 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular4 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular4 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic10 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic10 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular3 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular3 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic14 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic14 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular10 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular10 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular9 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular9 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic15 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic15 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic18 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic18 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic19 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic19 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular7 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular7 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular6 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular6 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: 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33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic16 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic17 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic17 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic13 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic13 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic15 FontSubset: true FirstChar: 25 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic15 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular12 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular12 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular8 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular8 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic22 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic22 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic23 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic23 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic17 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic17 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular17 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular17 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic24 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic24 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: 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0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular15 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular15 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular12 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular12 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular14 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular14 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: 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710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic27 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic27 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular11 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular11 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic28 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic28 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular14 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular14 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular19 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular19 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular12 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular12 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic20 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic20 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular15 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular15 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular10 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular10 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic19 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic19 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: MyriadPro-BoldSemiCn FirstChar: 0 LastChar: 255 FontDescriptor: FontName: MyriadPro-BoldSemiCn Flags: Nonsymbolic FontBBox: -133, -250, 1161, 894 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic26 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic26 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic25 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic25 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic18 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic18 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular13 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular13 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular9 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular9 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular20 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular20 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic21 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: 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true Font: BaseFont: VTRNTC+STIXMath-Italic22 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic22 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic25 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic25 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular22 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular22 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular18 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular18 Flags: Symbolic, SmallCap 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Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic71 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic71 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic68 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic68 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular49 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular49 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic64 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic64 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic65 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic65 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular56 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular56 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: PTLONO+STIXMathCalligraphy-Regular2 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: PTLONO+STIXMathCalligraphy-Regular2 Flags: Symbolic FontBBox: 0, -320, 1035, 2000 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular48 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular48 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic74 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic74 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic75 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic75 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular47 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular47 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic76 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic76 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular55 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular55 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular54 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular54 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic77 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic77 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic66 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic66 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular34 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular34 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular57 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular57 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular60 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular60 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular49 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular49 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular35 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular35 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic78 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic78 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic79 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic79 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic68 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic68 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular58 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular58 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular59 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular59 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic81 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic81 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic67 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic67 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic82 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic82 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular50 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular50 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: FZHWDI+STIXMathSans-Regular2 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: FZHWDI+STIXMathSans-Regular2 Flags: Symbolic FontBBox: 0, 0, 856, 448 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic80 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic80 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic69 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic69 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic70 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic70 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic73 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic73 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular62 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular62 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic76 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic76 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic87 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic87 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic71 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic71 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic84 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic84 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic85 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic85 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic74 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic74 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular52 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular52 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic83 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic83 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic72 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic72 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular63 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular63 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic75 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic75 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular51 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular51 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic86 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic86 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular54 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular54 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular61 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular61 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXGeneral-Regular53 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular53 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic91 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic91 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular68 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular68 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic81 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic81 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic92 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic92 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular56 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular56 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic82 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic82 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: UVASFE+STIXMathExtensions-Regular36 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: UVASFE+STIXMathExtensions-Regular36 Flags: Symbolic FontBBox: 0, -2394, 1163, 713 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Italic77 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic77 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular65 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular65 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Regular67 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular67 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic88 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic88 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXGeneral-Regular55 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXGeneral-Regular55 Flags: Symbolic, SmallCap FontBBox: 0, -122, 586, 688 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic89 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic89 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular64 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular64 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic78 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic78 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic93 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic93 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic90 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic90 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular66 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular66 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic79 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic79 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: VTRNTC+STIXMath-Italic80 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Italic80 Flags: Symbolic FontBBox: 0, -187, 739, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic97 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic97 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: VTRNTC+STIXMath-Regular69 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: VTRNTC+STIXMath-Regular69 Flags: Symbolic FontBBox: 0, -222, 643, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LWTKJW+STIXGeneral-Italic94 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic94 Flags: Symbolic FontBBox: -147, -209, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LWTKJW+STIXGeneral-Italic95 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: LWTKJW+STIXGeneral-Italic95 Flags: 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interaction,Wigner Function,Complete positivity,Energy conservation,Bohmian conditional wavefunction application/pdf https://doi.org/10.1007/s10825-021-01798-1 Springer US Journal of Computational Electronics, https://doi.org/10.1007/s10825-021-01798-1 Matter–light interaction Wigner Function Complete positivity Energy conservation Bohmian conditional wavefunction Can Wigner distribution functions with collisions satisfy complete positivity and energy conservation? Matteo Villani Xavier Oriols 10.1007/s10825-021-01798-1 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s10825-021-01798-1 10.1007/s10825-021-01798-1 1572-8137 20 6 2232 2244 journal Journal of Computational Electronics The Author(s) 2010-04-23 true 10.1007/s10825-021-01798-1 noindex springer.com springerlink.com VoR uuid:364215d7-b1d2-4982-8942-fe6997661e0d uuid:2ad84ec5-75b4-4aeb-b501-bcd617bcb352 default 1 converted uuid:fc48d35f-a706-4cf5-a1d8-4c94cb8ba426 converted to PDF/A-2b pdfToolbox 2021-11-23T10:09:12+05:30 converted uuid:599e5293-7bef-4e89-bb0d-49784e7ed2cf converted to PDF/A-2b pdfToolbox 2021-11-23T10:11:07+05:30 2 B Matteo Villani http://orcid.org/0000-0003-1315-7851 Xavier Oriols http://orcid.org/0000-0003-2181-4284 http://ns.adobe.com/pdfx/1.3/ pdfx Adobe Document Info PDF eXtension Schema external Mirrors crossmark:MajorVersionDate CrossmarkMajorVersionDate Text external Mirrors crossmark:CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal Mirrors crossmark:DOI doi Text external Mirrors crossmark:CrosMarkDomains CrossMarkDomains seq Text internal A name object indicating whether the document has been modified to include trapping information robots Text internal ID of PDF/X standard GTS_PDFXVersion Text internal Conformance level of PDF/X standard GTS_PDFXConformance Text internal Company creating the PDF Company Text internal Date when document was last modified SourceModified Text http://crossref.org/crossmark/1.0/ crossmark Crossmark Schema internal Usual same as prism:doi DOI Text external The date when a publication was publishe. MajorVersionDate Text internal CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal CrossMarkDomains CrossMarkDomains seq Text http://prismstandard.org/namespaces/basic/2.0/ prism Prism Schema external This element provides the url for an article or unit of content. The attribute platform is optionally allowed for situations in which multiple URLs must be specified. PRISM recommends that a subset of the PCV platform values, namely “mobile” and “web”, be used in conjunction with this element. NOTE: PRISM recommends against the use of the #other value allowed in the PRISM Platform controlled vocabulary. In lieu of using #other please reach out to the PRISM group at prism-wg@yahoogroups.com to request addition of your term to the Platform Controlled Vocabulary. url URI external The Digital Object Identifier for the article. The DOI may also be used as the dc:identifier. If used as a dc:identifier, the URI form should be captured, and the bare identifier should also be captured using prism:doi. If an alternate unique identifier is used as the required dc:identifier, then the DOI should be specified as a bare identifier within prism:doi only. If the URL associated with a DOI is to be specified, then prism:url may be used in conjunction with prism:doi in order to provide the service endpoint (i.e. the URL). doi Text external ISSN for an electronic version of the issue in which the resource occurs. Permits publishers to include a second ISSN, identifying an electronic version of the issue in which the resource occurs (therefore e(lectronic)Issn. If used, prism:eIssn MUST contain the ISSN of the electronic version. issn Text internal Volume number volume Text internal Issue number number Text internal Starting page startingPage Text internal Ending page endingPage Text external The aggregation type specifies the unit of aggregation for a content collection. Comment PRISM recommends that the PRISM Aggregation Type Controlled Vocabulary be used to provide values for this element. Note: PRISM recommends against the use of the #other value currently allowed in this controlled vocabulary. In lieu of using #other please reach out to the PRISM group at info@prismstandard.org to request addition of your term to the Aggregation Type Controlled Vocabulary. aggregationType Text external Title of the magazine, or other publication, in which a resource was/will be published. Typically this will be used to provide the name of the magazine an article appeared in as metadata for the article, along with information such as the article title, the publisher, volume, number, and cover date. Note: Publication name can be used to differentiate between a print magazine and the online version if the names are different such as “magazine” and “magazine.com.” publicationName Text external Copyright copyright Text http://ns.adobe.com/pdf/1.3/ pdf Adobe PDF Schema internal A name object indicating whether the document has been modified to include trapping information Trapped Text http://ns.adobe.com/xap/1.0/mm/ xmpMM XMP Media Management Schema internal UUID based identifier for specific incarnation of a document InstanceID URI internal The common identifier for all versions and renditions of a document. DocumentID URI internal The common identifier for all versions and renditions of a document. OriginalDocumentID URI internal A reference to the original document from which this one is derived. It is a minimal reference; missing components can be assumed to be unchanged. For example, a new version might only need to specify the instance ID and version number of the previous version, or a rendition might only need to specify the instance ID and rendition class of the original. DerivedFrom ResourceRef Identifies a portion of a document. This can be a position at which the document has been changed since the most recent event history (stEvt:changed). For a resource within an xmpMM:Ingredients list, the ResourceRef uses this type to identify both the portion of the containing document that refers to the resource, and the portion of the referenced resource that is referenced. http://ns.adobe.com/xap/1.0/sType/Part# stPart Part http://www.aiim.org/pdfa/ns/id/ pdfaid PDF/A ID Schema internal Part of PDF/A standard part Integer internal Amendment of PDF/A standard amd Text internal Conformance level of PDF/A standard conformance Text Springer Nature ORCID Schema http://springernature.com/ns/xmpExtensions/2.0/ sn authorInfo Bag AuthorInformation external Author information: contains the name of each author and his/her ORCiD (ORCiD: Open Researcher and Contributor ID). An ORCiD is a persistent identifier (a non-proprietary alphanumeric code) to uniquely identify scientific and other academic authors. AuthorInformation http://springernature.com/ns/xmpExtensions/2.0/authorInfo/ author Specifies the types of author information: name and ORCID of an author. name Text Gives the name of an author. orcid URI Gives the ORCID of an author. http://ns.adobe.com/xap/1.0/t/pg/ xmpTPg XMP Paged-Text internal XMP08 Spec: An ordered array of plate names that are needed to print the document (including any in contained documents). 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