Posts Tagged ‘infinite0mg’

Three-body problem – Wikipedia

December 7, 2019

David Ho – Wikipedia

December 7, 2019

Hidden Figures (book) – Wikipedia

December 7, 2019

Modeling the within-host dynamics of HIV infection

December 7, 2019

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, 2019

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.

How Joseph Fourier discovered the greenhouse effect

December 7, 2019
liked warm temperatures too!

Mathwords: Approximation by Differentials

December 1, 2019

What was the nature of the feud between Fermat and Descartes? – Quora

December 1, 2019

Maths in a minute: Compound interest and e |

November 29, 2019

algorithm | Origin and meaning of algorithm by Online Etymology Dictionary

November 24, 2019