quotient norm - translation to russian
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quotient norm - translation to russian

EXPRESSION IN CALCULUS
Newton's quotient; Newton's difference quotient; Difference Quotient; Newton quotient; Fermat's difference quotient

quotient norm      

математика

фактор-норма

uniform norm         
P-NORM FOR P EQUAL TO ∞
Maximum norm; Supremum norm; Infinity norm; Sup norm; Chebyshev norm; Sup norms; Uniform metric; L-infinity norm; Max norm

математика

равномерная норма

maximum norm         
P-NORM FOR P EQUAL TO ∞
Maximum norm; Supremum norm; Infinity norm; Sup norm; Chebyshev norm; Sup norms; Uniform metric; L-infinity norm; Max norm

математика

максимум-норма

Definition

Norm
·adj A typical, structural unit; a type.
II. Norm ·adj A rule or authoritative standard; a model; a type.

Wikipedia

Difference quotient

In single-variable calculus, the difference quotient is usually the name for the expression

f ( x + h ) f ( x ) h {\displaystyle {\frac {f(x+h)-f(x)}{h}}}

which when taken to the limit as h approaches 0 gives the derivative of the function f. The name of the expression stems from the fact that it is the quotient of the difference of values of the function by the difference of the corresponding values of its argument (the latter is (x + h) - x = h in this case). The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h).: 237  The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.

By a slight change in notation (and viewpoint), for an interval [a, b], the difference quotient

f ( b ) f ( a ) b a {\displaystyle {\frac {f(b)-f(a)}{b-a}}}

is called the mean (or average) value of the derivative of f over the interval [a, b]. This name is justified by the mean value theorem, which states that for a differentiable function f, its derivative f′ reaches its mean value at some point in the interval. Geometrically, this difference quotient measures the slope of the secant line passing through the points with coordinates (a, f(a)) and (b, f(b)).

Difference quotients are used as approximations in numerical differentiation, but they have also been subject of criticism in this application.

Difference quotients may also find relevance in applications involving Time discretization, where the width of the time step is used for the value of h.

The difference quotient is sometimes also called the Newton quotient (after Isaac Newton) or Fermat's difference quotient (after Pierre de Fermat).

What is the Russian for quotient norm? Translation of &#39quotient norm&#39 to Russian