Educational Aid on Elementary Mathematics
Arithmetic operations and properties of decimals, proportion and percents. Fundamental concepts of algebra, functions and graphs. The fundamental operations with complex numbers. Limits of function values, one-sided limits, infinitesimal functions.
Подобные документы
Further examples of population dynamics. Representation of real numbers in an arbitrary base. A geometrical model for continued fractions. The idea of computational complexity. Elementary applications of congruence. The fundamental theorem of arithmetic.
?????, добавлен 08.03.2014The order and lower order of an entire function. Using the Fourier series method to study the properties of subharmonic functions. The subharmonic function in the complex plane. The finite system of rays. The class of delta-subharmonic functions.
??????, добавлен 27.06.2016The theory of the scalar field, directed derivative. The calculation of the line integral. The divergence of vector fields, their properties. Complex numbers and operations with them. The concept of differentiability and analytic function of the complex.
??????? ???????, добавлен 11.10.2014The Cartesian product of copies. The set of all nonnegative real numbers. The algebra of polar operators (poles). Definition of a binary operation. Polarized elements, extension of the algebra of poles to the whole plane. Classes of equivalence.
??????, добавлен 27.06.2016Prime and composite numbers. The fundamental theorem of arithmetic states. Sample factorizations. Review of elementary number theory. Some essential algorithms. RSA public-key cryptosystem. Finding squares through products. Large prime variations.
??????, добавлен 15.09.2012Sums, floors and recurrences. Finite and infinite calculus. Hypergeometric functions and transformations. Special, exponential generating functions. Euler’s summation formula. Domino theory and change. Partial hypergeometric sums. Stirling numbers.
??????? ???????, добавлен 25.11.2013The uniqueness problem of meromorphic functions having the same pole sharing of a nite set with the aid of weighted sharing of sets we. Meromorphic functions in whole complex plane. Standard notations of the Nevanlinna theory of meromorphic functions.
??????, добавлен 27.06.2016Solving Linear Systems with the Inverse. Transposes and Symmetric Matrices. General Linear Systems. The Fundamental Matrix Subspaces. Minimization of Quadratic Functions. Computations in Orthogonal Bases. Orthogonal Polynomials and Least Squares.
??????? ???????, добавлен 25.11.2013The emergence of noncommutative geometry, its relationship with the corresponding selected algebra function. The establishment of the anti-equivalence between the category of spaces and the corresponding category of algebras of functions on such spaces.
????????? ??????, добавлен 30.07.2016The quart formula - a tool for describing the composition of functions, the modification of which directly changes properties, which are easily detected by numerical modeling. A complete infinite power-factorial functional series of the exponent.
??????, добавлен 12.05.2018Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.
??????, добавлен 24.06.2016Ways of representation of functions of two variables. Partial increment and derivatives of the first order. Application of the total differential to approximate calculations. Description of the largest and smallest values of a function of two variables.
??????? ???????, добавлен 11.10.2014Monotonic Functions and Unordered Lists. The Pigeonhole Principle. Basic Concepts of Decision Trees. The Principle of Inclusion and Exclusion. Counting Structures with Symmetries. Concepts in Graph Theory. Equivalence Relations and Unlabeled Graphs.
?????, добавлен 17.04.2013Obtaining a criterion of boundedness of L-index in direction for functions f(hz;mi). Finding sufficient conditions of boundedness L-index in direction for some class of entire functions with "plane" zeros. Proving existence theorems of entire function.
??????, добавлен 19.02.2016Using methods of discrete mathematics in the field of virtual isolation and its application in the scientific theory of numbers, groups, combinatorics and graph theory. Specifics arithmetic methods data comparisons. Construction of a matrix atom.
?????, добавлен 08.03.2014Basic formulas of combinatorial analysis. Theorem of addition of probabilities of incompatible events. Theorem of multiplication of probabilities. Bayes’s formulas. Mathematical operations over random variables. Properties of a distribution function.
???? ??????, добавлен 27.10.2013The manual contains definitions, formulas, theorems of the differential calculus of functions of one variable. Derivative and its geometrical and physical meaning. Applying differential to approximate calculations. Extremum of function, the quotient rule.
??????? ???????, добавлен 11.10.2014The basics of cryptography and its levels of reliability. Secret key cryptosystem and symmetric ciphers, message authentication codes. Fundamentals of discrete mathematics, homomorphisms and isomorphisms. Modular arithmetic and function Euler's Totient.
??????? ???????, добавлен 19.03.2014Several aspects of systems theory. Arithmetic of cardinal numbers. Crises of naive set theory. Constructions of ordinal and cardinal number systems. Growth of the polish school of mathematics. Bellman’s principle of optimality and its generalizations.
?????, добавлен 25.11.2013The textbook includes topics of discrete mathematics. Relations: binary relations, pictorial representatives of relations, inverse relation, functional relation. Mathematical logic: propositions and compound statements, basic laws of logical operations.
??????? ???????, добавлен 11.10.2014The the evolution of mathematics as a fundamental tool for understanding the world and its influence on the human worldview. The historical development of mathematical ideas from antiquity to the present, from the theories of Pythagoras and Galileo.
??????, добавлен 11.03.2025Mathematics as a fundamental science. The place in its structure of differential equations is one of the most harmonious ways of knowing the universe. Study of the algorithm for constructing compartmental (SIR) models, based on differential equations.
??????, добавлен 10.08.2022- 23. Elliptic curves
Affine plane curves. A brief introduction to the p-adic numbers. Regular functions on projective curves. Plane projective cubic curves with a rational inflection point. Reduction of an elliptic curve. Cohomology of finite, infinite Galois groups.
??????? ???????, добавлен 03.07.2013 Properties of Probability Distributions. Conditional Distributions and Expectation. Characteristic Functions, Moments and Cumulants. Parametric Families of Distributions. Distribution Theory for Functions of Random Variables, Approximation of Integrals.
??????? ???????, добавлен 25.11.2013The notion of weighted sharing of sets improving theorem A.I. Lahiri. Idea of gradation of sharing of values and sets known as weighted sharing. The definitions of the value distribution theory. Nonconstant meromorphic functions having no simple poles.
??????, добавлен 19.02.2016