Results 61 to 70 of about 2,869,605 (252)

Trigonometric functions of nonlinear quantities

, 1994
Trigonometric functions of nonlinear quantities are introduced. Functions of the form {line_integral}(x{sup a}), {line_integral}(x{sup y}), and {line_integral}{sup n}(x{sup a}) are reported, where {line_integral} is a trigonometric function such as cos ...
Wester, D. W.
core   +1 more source

Analytical stress solution framework for lined compressed air energy storage chambers and its application to safe burial depth determination and supporting effectiveness evaluation

Deep Underground Science and Engineering, EarlyView.
An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun, Cheng Zhao, Jinquan Xing, Qinyuan Luo   +3 more
wiley   +1 more source

Beatty Sequences and Trigonometric Functions

Integers, 2016
See the abstract in the attached pdf.
openaire   +4 more sources

Dynamic response at the terminus of oblique intersecting joints subjected to stress waves

Deep Underground Science and Engineering, EarlyView.
This study derives the propagation equation for stress waves impinging upon nonlinear oblique intersecting joints. It analyzes the dynamic response at the terminus of nonlinear oblique intersecting joints subjected to stress waves. Abstract To investigate the dynamic response at the terminus of oblique intersecting joints subjected to stress waves, a ...
Gang Hu, Xiang Chen, Honglu Fei, Shijie Bao, Jian Guo   +4 more
wiley   +1 more source

Extension of Oppenheim's Problem to Bessel Functions

Journal of Inequalities and Applications, 2007
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Zhu Ling, Baricz Árpád
doaj  

A Three‐Parameter Continuum Timoshenko Beam Framework for Evaluating Higher‐Mode Effects in High‐Rise Buildings With Rotational and Translational Base Flexibility

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Higher‐mode effects can significantly amplify seismic demands in high‐rise buildings, causing unintended damage over the building height. Engineered mechanisms are introduced at the base of these structures to mitigate higher‐mode effects. Existing continuum formulations for base‐flexible buildings commonly idealize the superstructure as a ...
Mohammad Hossein Asadi Jafari, Jianhui Zhou, Fei Tong   +2 more
wiley   +1 more source

Higher rank elliptic partition functions and multisymmetric elliptic functions

Nuclear Physics B
We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for ...
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai   +2 more
doaj   +1 more source

Teaching Transformations of Trigonometric Functions with Technology

Journal of Interactive Media in Education, 2020
Trigonometry is integral to mathematics education. The field of trigonometry plays a crucial role in the study of mathematics and its applications. Despite the importance of the subject, students struggle to understand trigonometric constructs such as ...
Neil Bornstein
doaj   +1 more source

Pelvic axial rotation in hindlimb lame horses changes after diagnostic analgesia

Equine Veterinary Journal, EarlyView.
Abstract Background Visual assessment of mild to moderate hindlimb lameness has low sensitivity and specificity, potentially leading to flawed diagnostic procedures. Pelvic axial rotation (roll) makes the assessment more complex but is also a potential source of information. Objectives To describe pelvic roll patterns in horses with unilateral hindlimb
Elin Hernlund, Maria Terese Engell, Emma Persson‐Sjödin, Marie Rhodin, Pia Haubro‐Andersen, Anna Byström   +5 more
wiley   +1 more source

Periodontal disease, biomarkers of ADRD risk, and cognitive functioning

Journal of Periodontology, EarlyView.
Abstract Background Periodontitis is a hypothesized risk factor for cognitive impairment. Many prior studies lack information on biological markers of Alzheimer's disease and related dementias (ADRD) risk or genetic risk markers. We assessed the association between periodontitis, biological markers of ADRD risk, and cognitive test performance with ...
John Robert Warren, Eric Grodsky, Chandra L. Muller, Jennifer J. Manly, Adam M. Brickman, Soobin Kim, Jessie Himmelstern, Ryan T. Demmer   +7 more
wiley   +1 more source