Noun:

ঘাতশ্রেণি,

power series's Usage Examples:

In mathematics, a power series (in one variable) is an infinite series of the form ∑ n = 0 ∞ a n ( x − c ) n = a 0 + a 1 ( x − c ) + a 2 ( x − c ) 2 +.

In mathematics, a formal power series is a generalization of a polynomial, where the number of terms is allowed to be infinite, with no requirements of.

that is infinitely differentiable at a real or complex number a is the power series f ( a ) + f ′ ( a ) 1 ! ( x − a ) + f ″ ( a ) 2 ! ( x − a ) 2 + f ‴ (.

} Using the ratio test, it is possible to show that this power series has an infinite radius of convergence and so defines ez for all complex.

of a complex function f(z) is a representation of that function as a power series which includes terms of negative degree.

analytic function is a function that is locally given by a convergent power series.

While many uses of power series refer to their sums, it is also possible to treat power series as formal sums, meaning that no addition.

In mathematics, the radius of convergence of a power series is the radius of the largest disk in which the series converges.

of a formal power series.

Unlike an ordinary series, the formal power series is not required.

In mathematics, Puiseux series are a generalization of power series that allow for negative and fractional exponents of the indeterminate T.

complex, or of more general type) that can be written as a convergent power series in a neighbourhood of each point in its domain.

It is commonly defined by the following power series: exp ⁡ x := ∑ k = 0 ∞ x k k ! = 1 + x + x 2 2 + x 3 6 + x 4 24 + ⋯ {\displaystyle.

It is particularly useful in connection with power series.

In contrast, the power series written as a0 + a1r + a2r2 + a3r3 + .

The units of the power series ring R [ [ x ] ] {\displaystyle R[[x]]} are precisely those power series p ( x ) = ∑ i = 0 ∞ a i x i {\displaystyle.

In perturbation theory, the solution is expressed as a power series in a small parameter ϵ {\displaystyle \epsilon } .

as a continuous analogue of a power series.

If a(n) is a discrete function of a positive integer n, then the power series associated to a(n) is the series.

one is used with series of real numbers, and the other is used with power series in complex analysis.

Synonyms:

concatenation; cycle; wave train; Stations of the Cross; nexus; Stations; chain; actinide series; ordination; string; succession; lanthanide series; patterned advance; electromotive force series; blizzard; sequence; train; line; electromotive series; rash; electrochemical series; ordering; course; hierarchy; cordon; order; helium group; progression;

Antonyms:

noncompliance; nonconformity; empty; dissuasion; timid;