Results 71 to 80 of about 402,444 (166)

A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities

open access: yesAbstract and Applied Analysis, 2014
We improve the Jordan, Adamović-Mitrinović, and Cusa inequalities. As applications, several new Shafer-Fink type inequalities for inverse sine function and bivariate means inequalities are established, and a new estimate for sine integral is given.
Zhen-Hang Yang, Yu-Ming Chu
doaj   +1 more source

Serial segment method for measuring remnant [PDF]

open access: yes
For tracking tasks where a sum of sine waves forcing function is used it is often difficult and/or expensive to obtain the pilot's remnant in the vicinity of the sine waves.
Magdaleno, R. E.
core   +1 more source

Massless Boundary Sine-Gordon at the Free Fermion Point: Correlation and Partition Functions with Applications to Quantum Wires

open access: yes, 1995
In this report we compute the boundary states (including the boundary entropy) for the boundary sine-Gordon theory. From the boundary states, we derive both correlation and partition functions.
Konik, Robert M.
core  

ON GENERALIZED SINE AND COSINE FUNCTIONS

open access: yesDemonstratio Mathematica, 1995
The author finds addition formulas for functions \(f\), \(g\) which satisfy the functional equation \((f (x))^n+ (g (x))^n =1\), where \(f\), \(g\) are supposed to be real functions on a given group \((X, +)\) and \(n\in \mathbb{N}\) is fixed. The obtained addition formulas coincide with the well known representations of \(\cos (x+y)\) and \(\sin (x+y)\
openaire   +2 more sources

Some Properties of Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine

open access: yesFractal and Fractional
In the paper, the authors introduce two notions, the normalized remainders, or say, the normalized tails, of the Maclaurin power series expansions of the sine and cosine functions, derive two integral representations of the normalized tails, prove the ...
Tao Zhang   +3 more
doaj   +1 more source

Simulation Analysis of the System Reliability of Cylinder Sine Oscillating Tooth Transmission

open access: yesJixie chuandong, 2015
In view of the problem that the conventional analysis method cannot directly solve reliability problem of the complex cylinder sine oscillating tooth transmission system,a simulation method based on minimal cut sets of fault tree is proposed,which can ...
Yuan Xinmei, Zeng Yunyun, Zhou Sizhu
doaj  

Evaluating Some Improper Sine and Cosine Integrals

open access: yesAxioms
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

The Sine–Fréchet G Family of Continuous Distributions: Sub-models, Properties, Simulation and Applications

open access: yesJournal of Statistical Theory and Applications (JSTA)
Many real-world datasets exhibit skewness, heavy tails, and complex hazard-rate shapes that classical lifetime distributions and several existing generalized families fail to capture adequately.
Joel Jerry   +3 more
doaj   +1 more source

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