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In particular, we formally model the heat equation using the multivariable calculus theories of the hol light theorem prover capturing the heat conduction in the system/body. The hol light theorem prover can be dificult to get started with.

Solving these equations is e gaining precise insights into the behavior of such systems. Partial differential equations (pdes) are used in modeling important engineering and physical science problems, such as the motion of fluids, the flow of current in electric circuits or the. While the manual is fairly detailed and comprehensive, the large amount of background information that has to be.

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The formal work shown in this paper is.

In this section, we present an introduction to the hol light theorem prover and an overview about the multivariable calculus theories of hol light, which provide the foundational support for the.

Formalized the laplace [17] and the fourier [18] transforms using hol light and used these formalization for differential equations based. Some results on a heat conduction problem by myshkis in heat transfer, applications of bessel functions include conduction problems and extended surface heat. Ical and engineering problems such as heat tion of electromagnetic waves. These formalizations also include the formal.

As a start, the work of this paper mainly focuses on the formalization of functional variation and its extrema (maximum or minimum).