Posts Tagged ‘infinite0mg’
A Few of My Favorite Spaces: The Kovalevskaya Top – Scientific American Blog Network
December 14, 2019Sofya Kovalevskaya – Wikipedia
December 14, 2019https://en.wikipedia.org/wiki/Sofya_Kovalevskaya
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Sofya Vasilyevna Kovalevskaya (Russian: Софья Васильевна Ковалевская), born Sofya Vasilyevna Korvin-Krukovskaya (15 January [O.S. 3 January] 1850 – 10 February 1891), was a Russian mathematician who made noteworthy contributions to analysis, partial differential equations and mechanics. She was a pioneer for women in mathematics around the world
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Sophie Germain – Wikipedia
December 14, 2019https://en.wikipedia.org/wiki/Sophie_Germain
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When Germain’s correspondence with Gauss ceased, she took interest in a contest sponsored by the Paris Academy of Sciences concerning Ernst Chladni’s experiments with vibrating metal plates.[30] The object of the competition, as stated by the Academy, was “to give the
mathematical theory of the vibration of an elastic surface and to compare the theory to experimental evidence”. Lagrange’s comment that a solution to the problem would require the invention of a new branch of analysis deterred all but two contestants, Denis Poisson and Germain. Then Poisson was elected to the Academy, thus becoming a judge instead of a contestant,[31] and leaving Germain as the only entrant to the competition.[32]
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Also, story about Gauss!
Ernst Chladni – Wikipedia
December 14, 2019https://en.wikipedia.org/wiki/Ernst_Chladni
nodal patterns on plates
David Ho – Wikipedia
December 7, 2019Hidden Figures (book) – Wikipedia
December 7, 2019Modeling the within-host dynamics of HIV infection
December 7, 2019https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3765939/
BMC Biol. 2013; 11: 96.
Published online 2013 Sep 3. doi: 10.1186/1741-7007-11-96
PMCID: PMC3765939
PMID: 24020860
Modeling the within-host dynamics of HIV infection
Alan S Perelson1 and Ruy M Ribeiro1
Heat equation – Wikipedia
December 7, 2019https://en.wikipedia.org/wiki/Heat_equation
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Meaning of the equation
Informally, the Laplacian operator {\displaystyle \nabla ^{2}}\nabla ^{2} gives the difference between the average value of a function in the neighborhood of a point, and its value at that point. Thus, if {\displaystyle u}u is the temperature, {\displaystyle \nabla ^{2}u}{\displaystyle \nabla ^{2}u} tells whether (and by how much) the material surrounding each point is hotter or colder, on the average, than the material at that point.
By the second law of thermodynamics, heat will flow from hotter bodies to adjacent colder bodies, in proportion to the difference of temperature and of the thermal conductivity of the material between them. When heat flows into (or out of) a material, its temperature increases (respectively, decreases), in proportion to the amount of heat divided by the amount (mass) of material, with a proportionality factor called the specific heat capacity of the material.
Therefore, the equation says that the rate {\displaystyle {\dot {u}}}{\displaystyle {\dot {u}}} at which the material at a point will heat up (or cool down) is proportional to how much hotter (or cooler) the surrounding material is. The coefficient {\displaystyle \alpha }\alpha in the equation takes into account the thermal conductivity, the specific heat, and the density of the material.
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How Joseph Fourier discovered the greenhouse effect
December 7, 2019https://www.irishtimes.com/news/science/how-joseph-fourier-discovered-the-greenhouse-effect-1.3824189
liked warm temperatures too!
linkstream2 microblog 