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  2. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  3. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    The coefficient is −5, the indeterminates are x and y, the degree of x is two, while the degree of y is one. The degree of the entire term is the sum of the degrees of each indeterminate in it, so in this example the degree is 2 + 1 = 3. Forming a sum of several terms produces a polynomial.

  4. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    In this example, the equation can be solved in y, giving =, but, in more complicated examples, this is impossible. For example, the relation y 5 + y + x = 0 {\displaystyle y^{5}+y+x=0} defines y as an implicit function of x , called the Bring radical , which has R {\displaystyle \mathbb {R} } as domain and range.

  5. Standard form - Wikipedia

    en.wikipedia.org/wiki/Standard_form

    Standard form may refer to a way of writing very large or very small numbers by comparing the powers of ten. It is also known as Scientific notation. Numbers in standard form are written in this format: a×10 n Where a is a number 1 ≤ a < 10 and n is an integer. ln mathematics and science Canonical form

  6. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    The equations 3x + 2y = 6 and 3x + 2y = 12 are inconsistent. A linear system is inconsistent if it has no solution, and otherwise, it is said to be consistent. [7] When the system is inconsistent, it is possible to derive a contradiction from the equations, that may always be rewritten as the statement 0 = 1. For example, the equations

  7. Degree of a polynomial - Wikipedia

    en.wikipedia.org/wiki/Degree_of_a_polynomial

    For example, the polynomial x 2 y 2 + 3x 3 + 4y has degree 4, the same degree as the term x 2 y 2. However, a polynomial in variables x and y, is a polynomial in x with coefficients which are polynomials in y, and also a polynomial in y with coefficients which are polynomials in x. The polynomial

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  9. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    Vertical line of equation x = a Horizontal line of equation y = b. Each solution (x, y) of a linear equation + + = may be viewed as the Cartesian coordinates of a point in the Euclidean plane. With this interpretation, all solutions of the equation form a line, provided that a and b are not both zero. Conversely, every line is the set of all ...