On the heat equation and the index theorem. Invent Math 19, 279–330 (1973). https://doi.org/10.1007/BF01425417 Download citation Received27 October 1972 Issue DateDecember 1973 DOIhttps://doi.org/10.1007/BF01425417 Keywords Heat Equation Index Theorem Access this article Log in via an ...
Atiyah, M., Bott, R., and Patodi, V.: "Errata to the paper: On the heat equation and the index theorem", Inventiones Mathematicae 28, 277- 280 (1975)Errata to the paper: "On the heat equation and the index theorem...
Related to heat exhaustion:salt depletion,dehydration,heat cramps heat exhaustion n. A condition caused by exposure to heat, resulting in the depletion of body fluids and causing weakness, dizziness, nausea, and often collapse. The condition can be alleviated by rest and the administration of fluid...
aThe Heat Index ( C) is given by a multiple regression equation of T and RH on the apparent temperature. A web-based Heat Index calculator can be found here. 温度指标 ( C) 由T和RH的一个多元回归等式在明显的温度给。 一个基于互联网的温度指标计算器可以这里被发现。 [translate] ...
A quick way to see this is by looking at the cubic stochastic object from the stochastic heat equation, which has spatial regularity 1/2− and whose square is therefore well-defined. In each step of this iteration, one has to utilize the invariance of the Gibbs measure μ≤N under the...
The index theorem and the heat equation method In this study, the heat stress and heat tolerance of 148 male volunteers were examined under different climatic conditions in a stainless steel climatic ch... N, Mino,A, Iio,K, Hamamoto - World Scientific, 被引量: 64发表: 0年 ...
Fig. 5: Distributions of the terms in the compressive governing equation (Eq. (2)) of the perpendicular fluctuating Elsässer variable \({\rm {\delta}} {\rm {{Z}}}_{x}^{-}\) at time = 4.0. A The evolution term plus the linear term, B the nonlinear term, C the generalize...
Thus, Ȏ can be depicted by the equation below: $${{{\hat{\mathbf O}}} = {{{\hat{\mathbf A}\mathbf S}}} = \left( {\left[ {\begin{array}{*{20}{c}} {{{\mathbf{a}}}_{(1)}} \\ {{{\mathbf{a}}}_{(2)}} \\ \vdots \\ {{{\mathbf{a}}}_{(i)}} \\ \v...
and the supply elevation is between1984.9m and2283.9m. The recharge area is located in the mountainous area with the elevation of1984.9~2283.9m around the study area. The mixing ratio of cold water calculated by silicon enthalpy equation is between 71.9% and 82.4%. The heat reservoir temperatur...
The Semilinear Heat Equation. Linear and Semilinear Partial Differential Equations: An Introduction. Berlin, Boston: De Gruyter, pp. 227-247. https://doi.org/10.1515/9783110269055.227 "Chapter 10. The Semilinear Heat Equation" In Linear and Semilinear Partial Differential Equations: An Introduction,...