Partial orders - ορισμός. Τι είναι το Partial orders
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Τι (ποιος) είναι Partial orders - ορισμός

DERIVATIVE OF A FUNCTION OF SEVERAL VARIABLES WITH RESPECT TO ONE VARIABLE, WITH THE OTHERS HELD CONSTANT
Partial Derivatives; Partial derivatives; Partial differentiation; Partial derivation; Mixed partial derivatives; Mixed derivatives; Partial Derivative; Mixed partial derivative; Partial differential; Partial symbol; Partial differentiation; Del (∂); Cross derivative

Partial derivative         
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry.
partial derivative         
¦ noun Mathematics a derivative of a function of two or more variables with respect to one variable, the other(s) being treated as constant.
Partial fraction decomposition         
DECOMPOSITION OR PARTIAL FRACTION EXPANSION OF A MATHEMATICAL FUNCTION
Partial fractions in integration; Partial fraction decomposition over the reals; Partial fraction decomposition over R; Partial fractions; Partial Fraction Decomposition; Partial fraction expansion; Partial Fractions; Partial Fraction; Integration by partial fractions; Partial fractions decomposition; Method of partial fractions; Partial fraction
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

Βικιπαίδεια

Partial derivative

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry.

The partial derivative of a function f ( x , y , ) {\displaystyle f(x,y,\dots )} with respect to the variable x {\displaystyle x} is variously denoted by

It can be thought of as the rate of change of the function in the x {\displaystyle x} -direction.

Sometimes, for z = f ( x , y , ) {\displaystyle z=f(x,y,\ldots )} , the partial derivative of z {\displaystyle z} with respect to x {\displaystyle x} is denoted as z x . {\displaystyle {\tfrac {\partial z}{\partial x}}.} Since a partial derivative generally has the same arguments as the original function, its functional dependence is sometimes explicitly signified by the notation, such as in:

f x ( x , y , ) , f x ( x , y , ) . {\displaystyle f'_{x}(x,y,\ldots ),{\frac {\partial f}{\partial x}}(x,y,\ldots ).}

The symbol used to denote partial derivatives is ∂. One of the first known uses of this symbol in mathematics is by Marquis de Condorcet from 1770, who used it for partial differences. The modern partial derivative notation was created by Adrien-Marie Legendre (1786), although he later abandoned it; Carl Gustav Jacob Jacobi reintroduced the symbol in 1841.