6ccc4802b3004fb8f746ea8b91d524e2 mathematics-14-00036.pdf 4dbfcf82be8286e0b5be7bb3e66aa85b26e48fc5 mathematics-14-00036.pdf c447c27a2f0e49b9833998862e70fa62189fd36da8046bb8368dfef4661d2b24 mathematics-14-00036.pdf Title: Type of the Paper (Article Author: MDPI Creator: Microsoft® Word for Microsoft 365 Producer: Microsoft® Word for Microsoft 365; modified using OpenPDF 1.4.2 CreationDate: Mon Dec 22 14:32:09 2025 CET ModDate: Mon Dec 22 14:34:03 2025 CET Custom Metadata: no Metadata Stream: yes Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 36 Encrypted: no Page size: 595.32 x 841.92 pts (A4) Page rot: 0 File size: 2135997 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- BCDEEE+PalatinoLinotype-Bold TrueType WinAnsi yes yes no 45 0 BCDFEE+PalatinoLinotype-Roman TrueType WinAnsi yes yes no 46 0 BCDGEE+PalatinoLinotype-Italic TrueType WinAnsi yes yes no 47 0 BCDHEE+PalatinoLinotype-Italic CID TrueType Identity-H yes yes yes 48 0 BCDIEE+PalatinoLinotype-Bold CID TrueType Identity-H yes yes yes 49 0 BCDJEE+PalatinoLinotype-Roman CID TrueType Identity-H yes yes yes 50 0 BCDKEE+CambriaMath CID TrueType Identity-H yes yes yes 85 0 BCDLEE+PalatinoLinotype-BoldItalic CID TrueType Identity-H yes yes yes 101 0 BCDMEE+PalatinoLinotype-BoldItalic TrueType WinAnsi yes yes no 102 0 BCDNEE+TimesNewRomanPS-ItalicMT TrueType WinAnsi yes yes no 116 0 BCDOEE+TimesNewRomanPSMT TrueType WinAnsi yes yes no 126 0 BCDPEE+SymbolMT CID TrueType Identity-H yes yes yes 127 0 BCEAEE+CambriaMath TrueType WinAnsi yes yes no 143 0 BCEBEE+MT-Extra CID TrueType Identity-H yes yes yes 161 0 BCECEE+ArialMT TrueType WinAnsi yes yes no 243 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2026-01-20 03:08:20 CET RepresentationInformation: mathematics-14-00036.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2026-01-19 05:48:37 CET Size: 2135997 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Tagged PDF PDFMetadata: Objects: 3997 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: false CenterWindow: false DisplayDocTitle: true NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseNone Language: en Info: Title: Type of the Paper (Article Author: MDPI Creator: Microsoft® Word for Microsoft 365 Producer: Microsoft® Word for Microsoft 365; modified using OpenPDF 1.4.2 CreationDate: Mon Dec 22 14:32:09 CET 2025 ModDate: Mon Dec 22 14:34:03 CET 2025 ID: 0x28eada3abb30cb40a8811d5365c0be94, 0x23ede61ec2ce78015f00f108a6f87540 Filters: FilterPipeline: FlateDecode Images: Image: NisoImageMetadata: FormatName: image/png ImageWidth: 368 ImageHeight: 94 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 156 ImageHeight: 104 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 279 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Image: NisoImageMetadata: FormatName: image/png ImageWidth: 560 ImageHeight: 420 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Interpolate: false Fonts: Type0: Font: BaseFont: BCDHEE+PalatinoLinotype-Italic Encoding: Identity-H ToUnicode: true Font: BaseFont: BCDIEE+PalatinoLinotype-Bold Encoding: Identity-H ToUnicode: true Font: BaseFont: BCDJEE+PalatinoLinotype-Roman Encoding: Identity-H ToUnicode: true Font: BaseFont: BCDKEE+CambriaMath Encoding: Identity-H ToUnicode: true Font: BaseFont: BCDLEE+PalatinoLinotype-BoldItalic Encoding: Identity-H ToUnicode: true Font: BaseFont: BCDPEE+SymbolMT Encoding: Identity-H ToUnicode: true TrueType: Font: Name: F15 BaseFont: BCECEE+ArialMT FontSubset: true FirstChar: 32 LastChar: 32 FontDescriptor: FontName: BCECEE+ArialMT Flags: Nonsymbolic FontBBox: -665, -210, 2000, 728 FontFile2: true Encoding: WinAnsiEncoding Font: Name: F9 BaseFont: BCDMEE+PalatinoLinotype-BoldItalic FontSubset: true FirstChar: 46 LastChar: 46 FontDescriptor: FontName: BCDMEE+PalatinoLinotype-BoldItalic Flags: Nonsymbolic FontBBox: -156, -284, 1305, 732 FontFile2: true Encoding: WinAnsiEncoding Font: Name: F1 BaseFont: BCDEEE+PalatinoLinotype-Bold FontSubset: true FirstChar: 32 LastChar: 54 FontDescriptor: FontName: BCDEEE+PalatinoLinotype-Bold Flags: Nonsymbolic FontBBox: -174, -284, 1445, 732 FontFile2: true Encoding: WinAnsiEncoding Font: Name: F2 BaseFont: BCDFEE+PalatinoLinotype-Roman FontSubset: true FirstChar: 32 LastChar: 121 FontDescriptor: FontName: BCDFEE+PalatinoLinotype-Roman Flags: Nonsymbolic FontBBox: -170, -284, 1419, 732 FontFile2: true Encoding: WinAnsiEncoding Font: Name: F3 BaseFont: BCDGEE+PalatinoLinotype-Italic FontSubset: true FirstChar: 32 LastChar: 122 FontDescriptor: FontName: BCDGEE+PalatinoLinotype-Italic Flags: Nonsymbolic FontBBox: -162, -284, 1249, 732 FontFile2: true Encoding: WinAnsiEncoding Font: Name: F13 BaseFont: BCEAEE+CambriaMath FontSubset: true FirstChar: 32 LastChar: 32 FontDescriptor: FontName: BCEAEE+CambriaMath Flags: Nonsymbolic FontBBox: -1475, -222, 2868, 778 FontFile2: true Encoding: WinAnsiEncoding CIDFontType2: Font: BaseFont: BCDJEE+PalatinoLinotype-Roman CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: BCDJEE+PalatinoLinotype-Roman Flags: Nonsymbolic FontBBox: -170, -284, 1419, 732 FontFile2: true Font: BaseFont: BCDHEE+PalatinoLinotype-Italic CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: BCDHEE+PalatinoLinotype-Italic Flags: Nonsymbolic FontBBox: -162, -284, 1249, 732 FontFile2: true Font: BaseFont: BCDPEE+SymbolMT CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: BCDPEE+SymbolMT Flags: Nonsymbolic FontBBox: 0, -216, 1113, 693 FontFile2: true Font: BaseFont: BCDKEE+CambriaMath CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: BCDKEE+CambriaMath Flags: Nonsymbolic FontBBox: -1475, -222, 2868, 778 FontFile2: true Font: BaseFont: BCDIEE+PalatinoLinotype-Bold CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: BCDIEE+PalatinoLinotype-Bold Flags: Nonsymbolic FontBBox: -174, -284, 1445, 732 FontFile2: true Font: BaseFont: BCDLEE+PalatinoLinotype-BoldItalic CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: BCDLEE+PalatinoLinotype-BoldItalic Flags: Nonsymbolic FontBBox: -156, -284, 1305, 732 FontFile2: true XMP: Microsoft® Word for Microsoft 365; modified using OpenPDF 1.4.2 Type of the Paper (ArticleMDPI Microsoft® Word for Microsoft 3652025-12-22T14:32:09+01:002025-12-22T14:34:03+01:00 uuid:3ADAEA28-30BB-40CB-A881-1D5365C0BE94uuid:3ADAEA28-30BB-40CB-A881-1D5365C0BE94 Pages: Page: Sequence: 1 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Annotation: Subtype: Link Rect: 87, 99, 158, 111 Flags: Print Annotation: Subtype: Link Rect: 33, 87, 122, 99 Flags: Print Page: Sequence: 2 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 3 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 4 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 5 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 6 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 7 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 8 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 9 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 10 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 11 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 12 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 13 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 14 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 15 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 16 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 17 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 18 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 19 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 20 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 21 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 22 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 23 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 24 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 25 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 26 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 27 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 28 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 29 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 30 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 31 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 32 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 33 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 34 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 35 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Page: Sequence: 36 Annotations: Annotation: Subtype: Link Rect: 424, 30, 561, 41 Flags: Print Checksum: cfda92c4 Type: CRC32 Checksum: 6ccc4802b3004fb8f746ea8b91d524e2 Type: MD5 Checksum: 4dbfcf82be8286e0b5be7bb3e66aa85b26e48fc5 Type: SHA-1 Checksum: c447c27a2f0e49b9833998862e70fa62189fd36da8046bb8368dfef4661d2b24 Type: SHA-256