one of a group of functions of an angle expressed as a relationship between the distances of a point on a hyperbola to the origin and to the coordinate axes; sinh
Examples of 'hyperbolic sine' in a sentence
hyperbolic sine
The solidified zone under elevated temperature was modeled through the hyperbolic sine constitutive equation.
Jiming Zhou, Lehua Qi 2013, 'Numerical Simulation of Liquid-Solid Extrusion Process Based on the Mechanical ModelCoupled with Solidification', Advances in Mechanical Engineeringhttp://ade.sagepub.com/content/5/10.1155_2013/932348.full.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
A constitutive equation to describe the deformation process was established based on the hyperbolic sine function.
Tingting Zheng, Dejiang Li, Xiaoqin Zeng, Wenjiang Ding 2016, 'Hot compressive deformation behaviors of Mg–10Gd–3Y–0.5Zr alloy', Progress in Natural Science: Materials Internationalhttp://www.sciencedirect.com/science/article/pii/S100200711600023X. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on hyperbolicsine function.
Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri 2018, 'Single Valued Neutrosophic Hyperbolic Sine Similarity Measure Based MADM Strategy',Neutrosophic Sets and Systemshttp://fs.gallup.unm.edu/NSS/SingleValuedNeutrosophicHyperbolic.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Moreover, detailed information on the evolution of hot deformation activation energy was obtained using the modified hyperbolic sine model.
Amir Hadadzadeh, Mary A. Wells 2017, 'Analysis of the hot deformation of ZK60 magnesium alloy', Journal of Magnesium and Alloyshttp://www.sciencedirect.com/science/article/pii/S2213956717300555. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Regression methods were used to develop a hyperbolic-sine equation linking the saturated stress to the deformation conditions.
Nima Haghdadi, David Martin, Peter Hodgson 2016, 'Physically-based constitutive modelling of hot deformation behavior in a LDX 2101duplex stainless steel', Materials & Designhttp://www.sciencedirect.com/science/article/pii/S0264127516307419. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We propose three controllers - hyperbolic sine-cosine, sliding mode, and calculated torque - which are applied to the discussed model.
Claudio Urrea, John Kern 2012, 'Modeling, Simulation and Control of a Redundant SCARA-Type Manipulator Robot', International Journal of Advanced Robotic Systemshttp://arx.sagepub.com/content/9/2/10.5772_51701.full.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Chaotic systems with hyperbolic sine nonlinearity have attracted the attention of researchers in the last two years.
Jizhao Liu, Jun Ma, Jing Lian, Pengbin Chang, Yide Ma 2018, 'An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine',Entropyhttp://www.mdpi.com/1099-4300/20/4/230. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This paper introduces a new approach for generating a class of simple chaotic systems with hyperbolic sine.
Jizhao Liu, Jun Ma, Jing Lian, Pengbin Chang, Yide Ma 2018, 'An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine',Entropyhttp://www.mdpi.com/1099-4300/20/4/230. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Constitutive equations as a function of strain were established through a simple extension of the hyperbolic sine constitutive relation.
Chinghao Liao, Horngyu Wu, Chengtao Wu, Fengjun Zhu, Shyong Lee 2014, 'Hot deformation behavior and flow stress modeling of annealed AZ61 Mg alloys', Progress in Natural Science: Materials Internationalhttp://www.sciencedirect.com/science/article/pii/S1002007114000446. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
To achieve simplicity of the electrical circuit, two back-to-back diodes represent hyperbolic sine nonlinearity without any multiplier or subcircuits.
Jizhao Liu, Jun Ma, Jing Lian, Pengbin Chang, Yide Ma 2018, 'An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine',Entropyhttp://www.mdpi.com/1099-4300/20/4/230. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)