Results 131 to 140 of about 2,043 (239)
Abstract The increasing frequency of drought, heat stress and extreme precipitation is intensifying risks to agricultural systems in the Southern Slopes of the Himalaya (SSH) under climate change. Understanding crop loss responses across cropping systems is critical for regional food security.
Jiujiang Wu +8 more
wiley +1 more source
Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams
Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements.
Ahmad Shahba +2 more
doaj +1 more source
Improved Asymptotic Capacity Lower Bound for OFDM System with Compressed Sensing Channel Estimation for Bernoulli Gaussian Channel [PDF]
We propose an improved capacity lower bound for OFDM system with compressed sensing channel estimation for Bernoulli-Gaussian channel. We improve the known capacity lower bound which is based on Lasso compressed sensing channel estimation, by replacing ...
S. Pejoski, V. Kafedziski
doaj
Another simpler proof of Euler-Maclaurin summation formula by the asymptotic expansion of numerical integration [PDF]
The Euler-Maclaurin summation formula plays an important role when we yield the correction formulas of numerical integrations or when we make the Romberg integration list.
伊野瀬, 崇, 樋口, 功
core
A new trigonometric identity with applications
In this paper we obtain a new curious identity involving trigonometric functions. Namely, for any positive odd integer $n$ we prove that $$\sum_{k=1}^n(-1)^k(\cot kx)\sin k(n-k)x=\frac{1-n}2,$$ which is equivalent to the identity $$\sum_{k=1}^n(-1)^kU_{n-
Sun, Zhi-Wei, Pan, Hao
core +5 more sources
Explicit Values of Bernoulli Polynomials at Rational Numbers
We give an explicit formula for the value of the Bernoulli polynomial B2k(t) when t is a rational number in the interval (0,1). When t=12,13,23,14,34,16,56 the value of B2k(t) is known explicitly.
Pehlivan, Lerna +2 more
core +1 more source
Bernoulli matrix and its algebraic properties
In this paper, we define the generalized Bernoulli polynomial matrix B(α)(x) and the Bernoulli matrix B. Using some properties of Bernoulli polynomials and numbers, a product formula of B(α)(x) and the inverse of B were given. It is shown that not only B(
Zhang, Zhizheng, Wang, Jun
core +1 more source
We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle +2 more
doaj +1 more source
The Low Energy Effective Lagrangian for Photon Interactions in Any Dimension
The subject of low energy photon-photon scattering is considered in arbitrary-dimensional space-time and the interaction is widened to include scattering events involving an arbitrary number of photons.
Robert Delbourgo (14735098) +1 more
core
The incorporation of randomness into stochastic computing can provide ample opportunities for applications such as simulated annealing, non‐polynomial hard problem solving, and Bayesian neuron networks.
Ran Zhang +9 more
doaj +1 more source

