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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

The Royal Society’s physical sciences research journal, publishing high-quality research and review articles from all disciplines in the physical sciences. This is a Plan S compliant Transformative Journal.
<p><span data-contrast="none" xml:lang="EN-IN" lang="EN-IN" class="TextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: rgb(0, 0, 0); white-space-collapse: preserve; font-size: 10pt; line-height: 16px; font-family: Calibri, Calibri_EmbeddedFont, Calibri_MSFontService, sans-serif; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">The image is a demonstration of what is called an Iterated Graph System. Through the method of substitution, the authors have rigorously constructed mathematical fractal networks, with their various fractal dimensions derived. This system will serve as a bridge connecting graph theory, fractal geometry and complex networks. See the article ‘Fractal dimensions for iterated graph systems’ by Nero Li, published in</span><span class="NormalTextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span></span><span data-contrast="none" xml:lang="EN-IN" lang="EN-IN" class="TextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: rgb(0, 0, 0); white-space-collapse: preserve; font-size: 10pt; font-style: italic; line-height: 16px; font-family: Calibri, Calibri_EmbeddedFont, Calibri_MSFontService, sans-serif; font-variant-ligatures: none !important;">Proc. R. Soc. A</span><span data-contrast="none" xml:lang="EN-IN" lang="EN-IN" class="TextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: rgb(0, 0, 0); white-space-collapse: preserve; font-size: 10pt; line-height: 16px; font-family: Calibri, Calibri_EmbeddedFont, Calibri_MSFontService, sans-serif; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;"> </span><span class="NormalTextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">(</span></span><a class="Hyperlink SCXW106256167 BCX8" href="https://doi.org/10.1098/rspa.2024.0406" target="_blank" rel="noreferrer noopener" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; font-family: &amp;quot;Segoe UI&amp;quot;, &amp;quot;Segoe UI Web&amp;quot;, Arial, Verdana, sans-serif; white-space-collapse: preserve; color: inherit;"><span data-contrast="auto" xml:lang="EN-IN" lang="EN-IN" class="TextRun Underlined SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; font-size: 10pt; text-decoration-line: underline; line-height: 16px; font-family: Calibri, Calibri_EmbeddedFont, Calibri_MSFontService, sans-serif; font-variant-ligatures: none !important;"><span class="NormalTextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text;">https://doi.org/10.1098/rspa.2024.0406</span></span></a><span data-contrast="none" xml:lang="EN-IN" lang="EN-IN" class="TextRun SCXW106256167 BCX8" style="-webkit-user-drag: none; -webkit-tap-highlight-color: transparent; margin: 0px; padding: 0px; user-select: text; color: rgb(0, 0, 0); white-space-collapse: preserve; font-size: 10pt; line-height: 16px; font-family: Calibri, Calibri_EmbeddedFont, Calibri_MSFontService, sans-serif; font-variant-ligatures: none !important;">).</span></p>

Current issue

Editor-In-Chief

Professor Jane Hillston FRS
Impact factor: 2.9
CiteScore: 5.5
Frequency: Biweekly
ISSN (Online):1471-2946

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Featured articles

Proc. R. Soc. A.1 July 2021

Electric field control of magnetism

Electric field control of magnetism is an extremely exciting area of research, from both a fundamental science and an applications perspective and has the potential to revolutionize the world of computing. To realize this will require numerous further ...Read more
Proc. R. Soc. A.1 July 2021

Electrocharging face masks with corona discharge treatment

We detail an experimental method to electrocharge N95 facepiece respirators and face masks (FMs) made from a variety of fabrics (including non-woven polymer and knitted cloth) using corona discharge treatment (CDT). We present practical designs to ...Read more
Proc. R. Soc. A.1 January 2021

Evolution of spray and aerosol from respiratory releases: theoretical estimates for insight on viral transmission

By modelling the evaporation and settling of droplets emitted during respiratory releases and using previous measurements of droplet size distributions and SARS-CoV-2 viral load, estimates of the evolution of the liquid mass and the number of viral ...Read more
Proc. R. Soc. A.1 June 2021

The reflection of a blast wave by a very intense explosion

We demonstrate that the geometric similarity of Taylor’s blast wave persists beyond reflection from an ideal surface. Upon impacting the surface, the spherical symmetry of the blast wave is lost but its cylindrical symmetry endures. As the flow acquires ...Read more
Proc. R. Soc. A.1 July 2021

Electric field control of magnetism

Electric field control of magnetism is an extremely exciting area of research, from both a fundamental science and an applications perspective and has the potential to revolutionize the world of computing. To realize this will require numerous further ...Read more
Proc. R. Soc. A.1 July 2021

Electrocharging face masks with corona discharge treatment

We detail an experimental method to electrocharge N95 facepiece respirators and face masks (FMs) made from a variety of fabrics (including non-woven polymer and knitted cloth) using corona discharge treatment (CDT). We present practical designs to ...Read more
Proc. R. Soc. A.1 January 2021

Evolution of spray and aerosol from respiratory releases: theoretical estimates for insight on viral transmission

By modelling the evaporation and settling of droplets emitted during respiratory releases and using previous measurements of droplet size distributions and SARS-CoV-2 viral load, estimates of the evolution of the liquid mass and the number of viral ...Read more
Proc. R. Soc. A.1 June 2021

The reflection of a blast wave by a very intense explosion

We demonstrate that the geometric similarity of Taylor’s blast wave persists beyond reflection from an ideal surface. Upon impacting the surface, the spherical symmetry of the blast wave is lost but its cylindrical symmetry endures. As the flow acquires ...Read more

Aims and scope

Proceedings A

Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The journal publishes research papers, as well as short reviews containing original and interesting new ideas. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.

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