This research aims to theoretically derive a closed-form evaluation formula for the coupled local buckling strength of I-shaped steel members under uniform bending. Power trigonometric functions are used devise particular displacement function. Because function is fast-converging compared Fourier function, it possible deflection be described using only two terms Subsequently, equation proposed ...

A trigonometric curve is a real plane curve where each coordinate is given parametri-cally by a truncated Fourier series. The trigonometric curves frequently arise in various areas of mathematics, physics, and engineering. Some trigonometric curves can be also represented implicitly by bivariate polynomial equations. In this paper, we give algorithms for (a) simplifying a given parametric repre...

In this paper we give exact values of the best n-term approximation widths diagonal operators between ℓp(ℕ)and ℓq(ℕ)with 0 < p,q ≤ ∞. The result will be applied to obtain asymptotic constants embeddings function spaces with mixed smoothness by trigonometric system.

Keyword: Generalized Gregory’s series Trigonometric identities Odd harmonic numbers In this paper the countable family of generalized Gregory’s series (all of which are the power series having the radius of convergence equal to one) is defined. Sums SnðxÞ; n 1⁄4 1;2; . . . of these series are found – first in the definite integral form and next in the form of finite linear combination of arcus ...

Trigonometric functions are often needed in embedded real-time software. To fulfill concrete resource demands, different implementation strategies of trigonometric functions are possible. In this paper we analyze the resource demands of iterative calculations compared to other implementation strategies, using the trigonometric functions as a case study. By analyzing the worst-case execution tim...

We derive the recursive relations of the partition function for the eight-vertex model on an N×N square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the explicit expression of the domain wall partition function of the model. In the trigonometric/rational limit, our results recover the corresponding ones for the six-vertex model. PACS: 75.10.Pq, 04.20.J...