A method of forming an integral tubular projection (B) in a disk-shaped work (W) by spinning is provided. In the method, h = 0.1 to 0.5t,d = 0.25 to 0.94D,T = 0.5 to 7h, andV = 0. 029 to 0.234蟺D2h where h is a depth by which a forming r... Y Masaaki,S Masayuki -...
A new result for integrals involving the product of Bessel functions and Associated Laguerre polynomials is obtained in terms of the hypergeometric function. Some special cases of the general integral lead to interesting finite and infinite series representations of hypergeometric functions....
Certain integrals involving the product of two generalised hypergeometric polynomials 来自 ResearchGate 喜欢 0 阅读量: 17 作者: M Shah 被引量: 7 年份: 1967 收藏 引用 批量引用 报错 分享 全部来源 求助全文 ResearchGate AMS 相似文献 引证文献...
This paper is concerned with the theoretical properties of a productintegration method for the integral \\(\\int\\limits_{ - 1}^1 {k(x)f(x)dx}\\) , where k is absolutely integrable and f is continuous. The integral is approximated by \\(\\sum\\limits_{i = 0}^n {w_{ni} f...
same relation to the ordinary product as the integral does to summation.The mathematical theory of product-integration is not terribly difficult and not terribly deep,which is perhaps one of the reasons it was out of fashion again by the time survival analysis came into being in thefifties...
Each root β can be written as β=∑αkαα(α∈△) with all integral coefficients kα being nonnegative or all nonpositive. The roots in △ are called simple. The height of the above root β is ∑α∈△kα. A root system Φ is called irreducible if it cannot be partitioned into...
Nonlinear integral equations and product integrals 来自 ResearchGate 喜欢 0 阅读量: 18 作者: AJ Kay 摘要: B. W. Helton has studied linear equations of the form (FORMULA PRESENT) this paper extends some of his results to a nonlinear setting. Let 5 be a linearly ordered set, (G, + ...
This derived integral formula is then used to provide formal derivations and new formulae in the form of a summary table of integrals, Table 1. The Lerch function being a special function has the fundamental property of analytic continuation, which enables enables the expansion of the range of ...
The other two most prominent process fingerprint candidates were not derived directly from the IM machine but were recorded with the use of an in-mold cavity pressure sensor. Both the integral and power of the signal were dependent on the amplitude and shape of the signal. The integral of the...
It's all a useful generalization: Integrals are "multiplication, taking changes into account" and the dot product is "multiplication, taking direction into account". And what if your direction is changing? Why, take theintegral of the dot product, of course!