Noun:

పవర్ సిరీస్,

power series's Usage Examples:

For integers c ≥ 1 {\displaystyle c\geq 1} , we define the lacunary series of order c by the power series expansion L c ( z ) : ∑ n ≥ 1 z.

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

A version of Schanuel's conjecture for formal power series, also by Schanuel, was proven by James Ax in 1971.

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

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

Tall, which are lexicographically ordered fractions of formal power series over the reals.

Macaulay (1916), who proved the unmixedness theorem for polynomial rings, and for Irvin Cohen (1946), who proved the unmixedness theorem for formal power series.

In algebraic geometry, the motivic zeta function of a smooth algebraic variety X {\displaystyle X} is the formal power series Z ( X , t ) ∑ n 0 ∞.

trigonometric sine, cosine and arctangent functions, and the special case of the power series expansion of the arctangent function yielding a formula for.

TheoremSuppose that\sum_{}^{} a_n t^nis a formal power series with rational coefficients an, which has a non-zero radius of convergence in the complex plane, and within it represents an analytic function that is in fact an algebraic function.

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.

When it is positive, the power series converges absolutely.

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,