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...ine.com/doi/abs/10.1080/0020739930240105 |journal=International Journal of Mathematical Education in Science and Technology |language=en |volume=24 |issue=1 |pages ...

...o. This choice simplifies calculations and is a convention in many physics problems. ==Mathematical form== ...

...ld be placed in an appendix or a supplementary file. Brief descriptions of problems requiring solution and short technical notes that clearly pertain to the jo ...

...ctral Gap and Exponential Decay of Correlations |journal=Communications in Mathematical Physics |date=22 April 2006 |volume=265 |issue=3 |pages=781–804 |doi=10.100 *[[List of undecidable problems]] ...

Modern inquiry encompasses [[Undecidable problem|undecidable problems]] and questions such as the halting problem, which in their very nature can ...is a prominent example of an unknowability associated with the established mathematical field of [[computability theory]]. In 1936, [[Alan Turing]] proved that the ...

...a field of study that investigates topics such as [[number]], [[space]], [[Mathematical structure|structure]], and change.<!--Please, do not link "change", as it h ...cs]] is the system used by [[mathematician]]s to communicate [[Mathematics|mathematical]] ideas among themselves, and is distinct from natural languages in that it ...

..., in particular [[differential equation]]s, are transformed into algebraic problems, usually the problem of solving a [[polynomial equation]]. Operational calculus first found applications in [[electrical engineering]] problems, for ...

...its destination.<ref>{{cite journal |last1=Shannon |first1=C. E. |title=A Mathematical Theory of Communication |journal=Bell System Technical Journal |date=July 1 ...odels of communication]]. It was initially published in the 1948 paper [[A Mathematical Theory of Communication]] and explains [[communication]] in terms of five b ...

==State problems versus process problems== ...evel of a person, etc. Examples of process problems are the development of mathematical skills from puberty to adulthood, the change in computer skills when people ...

...=The method of analytical regularization in wave-scattering and eigenvalue problems: foundations and review of solutions | journal=IEEE Antennas and Propagatio ...d quantum fields between parallel surfaces | journal=Journal of Physics A: Mathematical and General | publisher=IOP Publishing | volume=39 | issue=21 | date=10 May ...

...n|title=The annual meeting of the society|journal=Bulletin of the American Mathematical Society|volume=57|issue=2|date=March 1951|pages=109–152|doi=10.1090/S0002-9 ...the Wang algebra formulation is useful in electrical networks for solving problems involving topological methods, graph theory, and Hamiltonian cycles.<ref>{{ ...

The book is notorious for the difficulty of its problems, and its tendency to treat non-obvious conclusions as self-evident.<ref nam ...n general and nuclear and high-energy physics in particular. The necessary mathematical methods include vector calculus, ordinary and partial differential equation ...

...imately be founded on pure reason, while [[logicism]] is the doctrine that mathematical concepts, among others, are reducible to pure logic. ...ons may use logical association [[rule induction]], while others may use [[mathematical model]]s of probability such as [[decision tree]]s. For the most part this ...

| data4 = Applied uses ecological approaches to address problems of specific parts of the environment.<ref name="Encyclopedia of Theoretical ...epts, theories, models, or methods of fundamental ecology to environmental problems.<ref name="Encyclopedia of Theoretical Ecology" /> ...

...e which is used for power engineering problems, which are transformed into mathematical expressions. ...ign power plants and their elements and connections. Programs are based on mathematical algorithms and computations.<ref>{{cite web|url=https://www.dlubal.com/en/s ...

| subject = {{hlist|[[Electromagnetism]]|[[Mathematical physics]]}} ...mplar of [[rhetoric of science]]:<ref>Thomas K. Simpson (2010) ''Maxwell's Mathematical Rhetoric: rethinking the Treatise on Electricity and Magnetism'', page xiii ...

...efore be a property of the exact solution, since this is the same for both problems, and must be a property of the differential system itself. Such systems are Interpreting <math>x</math> to be time (as it often is in physical problems), <math display="inline"> \sum_{t=1}^n \kappa_t e^{\lambda_t x} \mathbf c_t ...

...th>r</math> in [[LaTeX]].</ref> Unlike some comparable books, the level of mathematical sophistication is not particularly high. For example, [[Green's functions]] ...

{{Short description|Mathematical transformation in engineering}} ...'''transformation''' (also known as the '''Clarke transformation''') is a mathematical [[Transform (mathematics)|transformation]] employed to simplify the analysi ...

{{short description|Expression frequently encountered in mathematical physics, generalization of Laplace's equation}} One of the cornerstones of [[electrostatics]] is setting up and solving problems described by the Poisson equation. Solving the Poisson equation amounts to ...