Results 161 to 170 of about 12,886 (197)
Heavy-atom tunnelling in singlet oxygen deactivation predicted by instanton theory with branch-point singularities. [PDF]
Nat CommunAnsari IM +3 more
europepmc +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
2011
In this lecture, we shall use Laurent’s expansion to establish Cauchy’s Residue Theorem, which has far-reaching applications. In particular, it generalizes Cauchy’s integral formula for derivatives (18.5), so that integrals that have a finite number of isolated singularities inside a contour can be integrated rather easily.
Ravi P. Agarwal +2 more
openaire +1 more source
In this lecture, we shall use Laurent’s expansion to establish Cauchy’s Residue Theorem, which has far-reaching applications. In particular, it generalizes Cauchy’s integral formula for derivatives (18.5), so that integrals that have a finite number of isolated singularities inside a contour can be integrated rather easily.
Ravi P. Agarwal +2 more
openaire +1 more source
International Journal of Structural Stability and Dynamics, 2018
Wind-induced response analysis is an important process in the design of large-span roofs. Conventional time-domain methods are computationally more expensive than frequency-domain algorithms; however, the latter are not as accurate because of the ill-treatment of the modal coupling effects.
Su, Ning, Cao, Zhenggang, Wu, Yue
openaire +2 more sources
Wind-induced response analysis is an important process in the design of large-span roofs. Conventional time-domain methods are computationally more expensive than frequency-domain algorithms; however, the latter are not as accurate because of the ill-treatment of the modal coupling effects.
Su, Ning, Cao, Zhenggang, Wu, Yue
openaire +2 more sources
1992
Abstract This chapter continues the study of singularities and extends in a significant way the techniques stemming from Cauchy’s theorem for evaluating the integral of a function round a contour. The following lemma comes directly out of Laurent’s theorem and the Deformation theorem: it gives an integral formula for the ...
openaire +1 more source
Abstract This chapter continues the study of singularities and extends in a significant way the techniques stemming from Cauchy’s theorem for evaluating the integral of a function round a contour. The following lemma comes directly out of Laurent’s theorem and the Deformation theorem: it gives an integral formula for the ...
openaire +1 more source
Contour Integration and Consequences of Cauchy's Residue Theorem in Mathematical Physics
Mikailalsys Journal of Advanced Engineering InternationalThis research presents an in-depth exploration of contour integration and the applications of Cauchy’s Residue Theorem within the field of complex analysis, with particular attention to their relevance in mathematical physics. The study begins by establishing a rigorous theoretical foundation, addressing key concepts such as analytic functions ...
Babawuro Zuwaira +3 more
openaire +1 more source
Cauchy’s Residue Theorem and Its Application
Science and Technology of Engineering, Chemistry and Environmental ProtectionOne of the key theorems in complex analysis, Cauchy’s Residue Theorem, which refers to the integral value of an analytic function along any simple closed contour surrounding an isolated singularity in a certain ring domain divided by 2πi, will greatly simplify the process of computing integrals on contour surrounding singularities.
openaire +1 more source
Cauchy’s residue theorem for a class of real integrals
2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 2022Zheng Tan, Pengfei Wang, Xiaoying Wang
openaire +1 more source
Deductions, Applications and Expansion of the Cauchy’s Residue Theorem
Science and Technology of Engineering, Chemistry and Environmental ProtectionCauchy’s integral formula is one of the most important discovery in the development history of the complex variable integration. This article focuses on the methods of the integration in mathematics. The author aims to write about how to deduce the residue theorem from Cauchy’s integral formula and how to use the Cauchy’s integral theorem and residue ...
openaire +1 more source
Historical synopsis of Cauchy residue theorem
2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 2022openaire +1 more source
A Robust AC System Frequency Estimation Method based on Cauchy's Residue Theorem
2021 23rd European Conference on Power Electronics and Applications (EPE'21 ECCE Europe), 2021Pablo Briff, Julian Freytes
openaire +1 more source