Results 31 to 40 of about 718 (237)

Evaluating Some Improper Sine and Cosine Integrals

Axioms
We consider four infinite collections of improper integrals involving the sine and cosine functions and provide explicit values for the integrals in each of the collections.
Russell A. Gordon
doaj   +1 more source

Electroactive Metal–Organic Frameworks for Electrocatalysis

Advanced Functional Materials, EarlyView.
Electrocatalysis is crucial in sustainable energy conversion as it enables efficient chemical transformations. The review discusses how metal–organic frameworks can revolutionize this field by offering tailorable structures and active site tunability, enabling efficient and selective electrocatalytic processes.
Irena Senkovska, Yutong Luo, Ruyan Zhao, Jianjun Zhang, Mingchao Wang, Xinliang Feng, Eike Brunner, Stefan Kaskel   +7 more
wiley   +1 more source

Alternative Proof of Frullani's Theorem and Applications in Evaluating Frullani Integrals

PUP Journal of Science and Technology
This article provides an alternative proof for the Frullani integral formula using an approach different from the existing one. This alternative proof gave us a novel method for evaluating certain improper integrals of Frullani type.
Paul Vincent Botin, Michael Sta. Brigida, Edwin Balila   +2 more
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Existence and Uniqueness Study of the Conformable Laplace Transform

Journal of Mathematics, 2022
This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis, Bouchenak Ahmed, Mazin AlJazzazi, Rasha Al Hejaj, Hassen Aydi   +4 more
doaj   +1 more source

Three‐Dimensional Hierarchical Nanowire‐Networks with Deep‐Focus Tolerance and Adhesion Robustness for Harsh‐Environment SERS Sensing

Advanced Functional Materials, EarlyView.
A 3D nanowire‐network SERS substrate with robust adhesion is developed, featuring pronounced z‐direction optical activity, ultralow detection limit (1.5 × 10−13 M), and excellent signal uniformity (RSD < 10%). Enabled by enhanced light scattering, increased optical density of states, and structural reinforcement, the substrate demonstrates stable, high‐
Jinglai Duan, Wentao Wang, Xiu Liang, Yongliang Zhang, Jie Liu, Yu Bai, Dangyuan Lei   +6 more
wiley   +1 more source

Henstock-Kurzweil integral on ${\rm BV}$ sets [PDF]

Mathematica Bohemica, 2016
The generalized Riemann integral of Pfeffer (1991) is defined on all bounded ${\rm BV$ subsets of $\mathbb R^n$, but it is additive only with respect to pairs of disjoint sets whose closures intersect in a set of $\sigma$-finite Hausdorff measure of ...
Jan Malý, Washek F. Pfeffer
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On improper multiple integrals [PDF]

Transactions of the American Mathematical Society, 1906
ibln,) (XIls XM )d2t when n1, n2k . In both the writings of JORDAN and VALLUE-POUSSIN the field of integration 2f is more or less restricted. The theory of JORDAN requires 2t to have inner points; moreover much of it is essentially limited to measurable fields. The fields considered by VALLUE-POUSSIN are even more restricted.
openaire   +1 more source

Conductive Bonding and System Architectures for High‐Performance Flexible Electronics

Advanced Functional Materials, EarlyView.
This review outlines bonding technologies and structural design strategies that support high‐performance flexible and stretchable electronics. Bonding approaches such as surface‐activated bonding and anisotropic conductive films, together with system‐level architectures including buffer layers and island‐bridge structures, possess distinct mechanical ...
Kazuma Nakajima, Kenjiro Fukuda
wiley   +1 more source

Modeling of influence of stresses on indicators of resistance of mining rocks to mechanical destruction [PDF]

E3S Web of Conferences, 2019
The article deals with the problem of determining the expression for the components of the stress tensor of a rock mass that is exposed to rock-breaking tools.
Tynyna Serhii, Chobotko Ihor, Frolova Liliya, Butyrina Tetyana   +3 more
doaj   +1 more source

Pattern Integration with Improper Riemann Integrals [PDF]

Proceedings of the American Mathematical Society, 1951
2. The improper integral defined as the limit of a sum. We first consider the case where ak = 1 (k =1, 2, 3, * * * ). A fundamental difficulty not encountered in the previous paper is apparent from the definition of .fof(x)dx. Bromwich and Hardy have considered this problem [2]. As they point out, the ordinary definition of this improper integral is by
openaire   +1 more source