Functions
The idea of a function
Powers and radicals
Year 9
Linear functions
Let $f:\mathbb\to \mathbb{R}$ be a function defined by the relation $f(x)=ax+b,$ with a, b$\in \mathbb{R}$.
Quadratic equations
$$a{^{2}}+bx+c=0, a, b, c\in \mathbb{R}, a\ne 0$$
Complex numbers
The real numbers can solve first-degree equations $ax+b=0,$ $a,b\in \mathbb\text{ cu }a\ne 0.$ They cannot,
The exponential function
The exponential function is the function $f:\mathbb\to (0,\infty ), f(x)={{a}^{x}},\text{ }a>0, a\ne 1$
Logarithms
Definition: Let $a\in R{+}^{*},\, a\ne 1$ and $b\in R{+}^{}$ be two real numbers. The logarithm* of
Combinatorics
Let n and p be two non-zero natural numbers. The number of sequences of p
Progressions
Arithmetic progressions
Polynomials
The canonical form of a polynomial with complex (respectively real)
Linear algebra
Definition. Let M=\{1,2,…,m\} and N=\{1,2,…,n\}. A map , $A(i,j)={{\left( {{ij}} \right)}{\begin{smallmatrix} i=\overline{1,m} \\ j=\overline{1,n} \end{smallmatrix}}}$ is
Vectors and parallelism
The triangle rule (Chasles' relation)
Algebra, final year
A non-empty subset H of M is called a stable part with respect to the law of
Geometric transformations of graphs
Translating graphs along the coordinate axes. Suppose the function $y=f(x)$ and
Constants
| n | n2 | n3 | $\sqrt$ | n! |
The Greek alphabet
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