quotient measure - определение. Что такое quotient measure
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Что (кто) такое quotient measure - определение

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

Quotient space (linear algebra)         
VECTOR SPACE CONSISTING OF AFFINE SUBSETS
Linear quotient space; Quotient vector space
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read "V mod N" or "V by N").
overdone         
  • Robert Smirke]] (n.d.)
  • The first page of Shakespeare's ''Measure for Measure'', printed in the [[First Folio]] of 1623
  • William Hamilton]] of Isabella appealing to Angelo
  • ''Mariana'' (1851) by [[John Everett Millais]]
  • Pompey Bum, as he was portrayed by nineteenth-century actor [[John Liston]]
  • ''Mariana'' (1888) by [[Valentine Cameron Prinsep]]
  • ''Isabella'' (1888) by [[Francis William Topham]]
  • ''Claudio and Isabella'' (1850) by [[William Holman Hunt]]
PLAY BY SHAKESPEARE
Measure for measure; Barnardine; Measure For Measure; Mistress Overdone; Abhorson; Overdone; Over done; Kate Keepdown; Keepdown; Keep down
1.
If food is overdone, it has been spoiled by being cooked for too long.
The meat was overdone and the vegetables disappointing.
= overcooked
ADJ
2.
If you say that something is overdone, you mean that you think it is excessive or exaggerated.
In fact, the panic is overdone. As the map shows, the drought has been confined to the south and east of Britain.
ADJ: usu v-link ADJ
Measure for Measure         
  • Robert Smirke]] (n.d.)
  • The first page of Shakespeare's ''Measure for Measure'', printed in the [[First Folio]] of 1623
  • William Hamilton]] of Isabella appealing to Angelo
  • ''Mariana'' (1851) by [[John Everett Millais]]
  • Pompey Bum, as he was portrayed by nineteenth-century actor [[John Liston]]
  • ''Mariana'' (1888) by [[Valentine Cameron Prinsep]]
  • ''Isabella'' (1888) by [[Francis William Topham]]
  • ''Claudio and Isabella'' (1850) by [[William Holman Hunt]]
PLAY BY SHAKESPEARE
Measure for measure; Barnardine; Measure For Measure; Mistress Overdone; Abhorson; Overdone; Over done; Kate Keepdown; Keepdown; Keep down
Measure for Measure is a play by William Shakespeare, believed to be written in 1603 or 1604 and first performed in 1604, according to available records. It was published in the First Folio of 1623.

Википедия

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).