Алгебра 2, Листок 1
2026Problem sheetAlexey Ilyin
Задачные листки к курсам алгебры. Институт и учебное заведение в исходных публикациях не указаны, поэтому здесь не названы.
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170
Search results for “sine”
Categories
122 results
Basic Operations on Matrices
2026TheorySergey
Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
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150
Determinant
2026TheorySergey
The determinant of a square matrix — its meaning, minors and cofactors, Laplace expansion, and computation methods.
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190
Linear Operator
2026TheorySergey
A linear operator and its matrix, the action x' = Ax, similar matrices, and the formula B = C⁻¹AC.
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150
Fun example: empty colimit does not commute with empty limit
2026NotesBogdan Zavyalov
Why the definition of a filtered category insists on non-emptiness: the empty colimit fails to commute with the empty limit, and that is the only failure.
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310
Table of Derivatives
2026ReferenceSergey
Reference table of the derivatives of the elementary functions: power, exponential, logarithmic, trigonometric and their inverses.
1
240
Table of Basic Integrals
2026ReferenceSergey
Reference table of the basic indefinite integrals of the elementary functions: power, exponential, logarithmic and trigonometric.
1
270
Теория вероятностей, Листок 1
2026Problem sheetСтанислав Шапошников
Задачный листок к курсу теории вероятностей. Институт и учебное заведение в исходных публикациях не указаны, поэтому здесь не названы.
0
270
Vector calculus. Surface integrals of the first kind
2026Problem sheetSergey
Integration with respect to surface area: the area element for an explicit and a parametric surface, pieces of planes, the sphere in spherical coordinates.
0
340
Determinant via Permutations
2026TheorySergey
The direct definition of a determinant via permutations: inversions, parity, and a sum of n! terms.
0
170
Properties of Determinants
2026TheorySergey
The basic properties of determinants with brief proofs, and their use in simplifying computations.
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260