Results 31 to 40 of about 35,940 (238)
Decreasing property of ratio of two logarithmic expressions involving tangent function
In this article, the authors review three proofs of the decreasing property of the ratio of two logarithmic expressions. With the help of the monotonicity rule for the ratio of two differentiable functions, the authors provide an alternative proof of the
Feng Qi +2 more
doaj +1 more source
Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian +4 more
wiley +1 more source
A stretchable carbon composite is integrated by stencil printing onto two different types of textile, with different yarn morphologies. The impact of the knit structure and coating direction on the performance of the sensor composite is evaluated and used to derive a model estimating nominal resistance at a given strain near the percolation threshold ...
Gabriela Ananieva +2 more
wiley +1 more source
Micro tangent sets of continuous functions [PDF]
Summary: Motivated by the concept of tangent measures and by H. Fürstenberg's definition of microsets of a compact set \(A\) we introduce micro tangent sets and central micro tangent sets of continuous functions. It turns out that the typical continuous function has a rich (universal) micro tangent set structure at many points.
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This work presents a simulation‐based framework based on representative volume elements (RVEs) that explicitly incorporates process‐induced second‐order residual stresses into the fatigue strength assessment of ductile cast iron (DCI). For the first time, this approach enables a direct evaluation of the influence of second‐order residual stress fields ...
Lutz Horbach +4 more
wiley +1 more source
High school students’ learning trajectories of the concept of tangent line
The goal of this research is to characterize high school students’ learning trajectories of the concept of tangent line in a teaching experiment. The experiment considers a model of learning progression of the concept of tangent line using the local ...
Abilio Orts Muñoz +2 more
doaj +1 more source
Multiple tangent zeta function and tangent polynomials of higher order
In this paper, we introduce Tangent numbers T (k) n and Tangent polynomials T (k) n (x) of higher order. Finally, we obtain interesting properties of these numbers and polynomials.
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Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana +2 more
wiley +1 more source
Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function
The present study introduces a new family of analytic functions by utilizing the q-derivative operator and the q-version of the hyperbolic tangent function.
Timilehin Gideon Shaba +5 more
doaj +1 more source
The tangent function and power residues modulo primes
Let $p$ be an odd prime, and let $a$ be an integer not divisible by $p$. When $m$ is a positive integer with $p\equiv1\pmod{2m}$ and $2$ is an $m$th power residue modulo $p$, we determine the value of the product $\prod_{k\in R_m(p)}\tanπ\frac{ak}p$, where $$R_m(p ...
openaire +3 more sources

