Results 91 to 100 of about 11,946 (250)
Trigonometric Functions through Right Triangle Similarities [PDF]
, 2013 This article presents an introduction to the trigonometric functions tangent, cosecant, secant, and cotangent. Students understand these functions as quotients of the sine and cosine functions only.
Moyer, Todd O.
core
Hypergeometric series approach to the p-generalized Masjed-Jamei type inequality
Demonstratio MathematicaIn this paper, we establish a counterpart of the Masjed-Jamei inequality involving the inverse hyperbolic tangent and inverse trigonometric sine functions, and extend this Masjed-Jamei type inequality to the setting of p-generalized inverse trigonometric
Liao Yuqun, Zhao Tiehong
doaj +1 more source
On Some Cauchy Type Mean-Value Theorems with Applications
Communications in Advanced Mathematical SciencesSome Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
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High Voltage, EarlyView.ABSTRACT Diagnosing high‐impedance ground faults (HIGFs) in distribution networks is extremely challenging because high transition resistance significantly reduces electrical signal strength and unpredictable initial fault phase angles coupled with asymmetric voltage disturbances often lead to misclassification.
Zhengyang Li +5 more
wiley +1 more source
Trigonometric functions and Linear Transformations [PDF]
, 2011 This is an introduction to Trigonometric functions and Linear Transformations for undergraduate ...
Messikh, Azeddin
core
Boundedness of approximate trigonometric functions
Applied Mathematics Letters, 2009 \textit{J. A. Baker} [Proc. Am. Math. Soc. 80, 411--416 (1980; Zbl 0448.39003)] and \textit{W. P. Cholewa} [Proc. Am. Math. Soc. 88, 631--634 (1983; Zbl 0547.39003)] investigated the stability of the cosine functional equation and sine functional equation, respectively. In this paper the authors consider the following functional inequality \[ |f(x+y)-f(
Gwang Hui Kim, Young Whan Lee
openaire +2 more sources
High Voltage, EarlyView.ABSTRACT The alternate arm converter (AAC) is one of the most efficient multilevel topologies based on voltage source converters (VSCs), which has recently gained attention in various applications, particularly in high voltage direct current (HVDC) systems.
Ehsan Akbari, Milad Samady Shadlu
wiley +1 more source
Uncovering hidden bias in neutron diffraction residual strain measurements
Journal of Applied Crystallography, EarlyView.This work demonstrates that diffraction‐based residual strain calculations and uncertainty estimates depend on how grain populations are sub‐sampled, with important implications for interpreting residual stresses in heterogeneous materials with fine‐scale microstructure and strain gradients.When calculating residual strain via neutron or X‐ray ...
Cole Franz +4 more
wiley +1 more source
Solar radiation and the UV index: an application of numerical integration, trigonometric functions, online education and the modelling process [PDF]
, 2016 A short series of practical classroom mathematics activities employing the use of a large and publicly accessible scientific data set are presented for use by students in years 9 and 10.
Turner, Joanna +7 more
core
Origin and application of the Lorentz factor in X‐ray diffraction
Acta Crystallographica Section A, EarlyView.This review treats the role of the Lorentz factor in quantitative analysis of X‐ray diffraction data. The origin of the Lorentz factor, its derivation and practical implementations for a variety of modern X‐ray diffraction methods are discussed.The Lorentz factor is a fundamental correction factor in quantitative analysis of X‐ray diffraction ...
Fabian Gasser +5 more
wiley +1 more source