1、Convergence and divergence of infinite series depend upon this concept.
2、the approach of an infinite series to a finite limit.
3、Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.
4、An exact solution is developed in terms of doubly infinite series, using a stress-function approach.
5、Many more criteria for the convergence of infinite series were developed by leading mathematicians.
6、This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
7、Around 1810 Fouriers, Gauss, and Bolzano began the exact handling of infinite series.
8、In this paper, new criterion of convergence and divergence for infinite series is given by means of the convergence and divergence of infinite integral.
9、Infinite series in mathematical analysis is connected with Abstract integral in the measure theory through counting measure, and a new proof to an important property of infinite series is obtained.
10、The time may be computed to any desired degree of precision by taking enough terms in the infinite series.
11、g has to be less than r for this to make sense because if g--if it's growing faster than the rate of interest, then this infinite series will not converge and the value would be infinite.
12、The nonlinear equation group expressed by infinite series was made up in the condition of different water level and recharge quantity on two lateral linear recharge boundary.
13、An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.
14、More than 100 terms required in an infinite series are examined to compute all physical quantities under a tolerance of less than 0.005.
15、This paper gives a theoretical and analytical solution of the dynamic response for long gas pipeline in the form of infinite series with Bessel functions.
16、It illustrates that there is no infinite series in the variational expression, and the variational results are more accurate than the perturbational ones, especially when the twisted angular period becomes bigger.
17、The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
