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Search results for “partial-differential-equations”

9 results

Integrals of Rational Functions

2026ReferenceSergey

Reference table of indefinite integrals of rational functions, including quadratic denominators and partial-fraction forms.
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290

Vector calculus. Green's theorem

2026Problem sheetSergey

A contour integral as a double integral: the hypotheses of Green's theorem, orientation of the contour, area as a contour integral, closing an open arc, an annulus, a singular point inside the contour.
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260

Интерпретируемость и объяснимость

2026LectureКонстантин Вячеславович Воронцов

Интерпретируемость и объяснимость. Лекция курса «Машинное обучение» К. В. Воронцова. Интерпретируемость и объяснимость — цели, задачи, основные понятия.
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190

Vector calculus. Stokes' theorem. Circulation

2026Problem sheetSergey

Circulation of a field as the flux of its curl: computing the curl, matching the orientation of the contour and the normal, circulation computed two ways.
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310

Topology 2. Lecture 1

2026LectureФёдор Вылегжанин

Why homology is needed — the fundamental group as a functor, homotopy groups, bordism and its combinatorial approximation; chain complexes and their homology; abstract simplicial complexes, geometric realisation and triangulations; the complex of simplicial chains, the proof of d2=0d^2 = 0, the simplicial homology of a segment, of two points and of the boundary of a triangle; reduced homology.

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