formal power series
Serie formal de potencias
power series oor Spaans
power series
en
An infinite series in form <math>\sum_0^\infty a_i (x-c)^n</math>.
Vertalings in die woordeboek Engels - Spaans
Serie de potencias
en
an infinite series of addition, mainly in mathematical analysis
And the horizontal ones can figure in a power series reciprocal to the earth's radius.
Y las horizontales pueden figurar en una serie de potencias recíprocas al radio de la Tierra.
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
Soortgelyke frases
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
PROOF (a) We consider any power series (1) with positive radius of convergence R.
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Power series were introduced in this chapter in order to provide complex functions which are differentiable.
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What do you know about convergence of power series?
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Find the first four terms of a power series in x.
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(Hint: Use the power series for ln (1 – x) about 0.)
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Power Series We shall now construct the large algebra Q [[X*]] which extends [X*J.
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This justiWes the use of power series in §13.6.
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We seek a solution in the form ofa power series.
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How do you use power series to solve a differential equation?
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Because the differential equation has no finite singular points, both power series converge for x .
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ExAMPtn 4: Use the result of Example 3 to find a power-series representation of s-t.
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Gudermann’s idea was to base everything on the power series expansion of the functions.
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Moreover, because f ′ has a power series representation in this neighborhood, it too is analytic at x0.
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Euler, Lagrange, Leibniz, and the Bernoullis all used power series extensively in calculus.
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Stated in another way, the power series expansion of a function with center z0 is unique.
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This property can be formulated as a uniqueness theorem for power-series expansions.
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Th is consists in assuming a solution in the form of a power series in the independent variable .
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These formulas are similar to the Cauchy–Hadamard theorem for the radius of convergence of a power series.
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Another topic in a standard calculus course is the expansion of a function f in a power series.
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However, all these power series are awkward things to be carrying around, even if only in the imagination.
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We can also substitute a function j(x) for x in a convergent power series.
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His later works include a powerful series on the struggles of desegregation.
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Thus, the given power series converges for 2 x 4.
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These power series are also examples of Taylor series.
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The power series defined below is generalized by the idea of a germ.
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