Understanding the dosing-time-dependent antihypertensive effect of valsartan and aspirin through mathematical modeling by Javiera Cortés-Ríos, Maria Rodriguez-Fernandez

“…The model based on physiological regulation mechanisms includes a periodic function for each parameter that changes significantly after treatment. …”
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New local pseudopotential for multilayer carbon materials and its application in wave packet dynamics by Géza I. Márk, Péter Vancsó, Alexandre Mayer

“…For the rhombohedral tri-layer graphene the time dependence of the wave packet probability density is an aperiodic function for the first- and third layer (the two outer layers), but a quasi-periodic function for the second (inner) layer.…”
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Thermal Simulation for Unconditioned Single Zoon with Modified Roof by Mohammed Ali Nasser Ali, Abdul Hadi Nema Khalif, Doaa Alaa Lafta

“…The model input data are the ambient temperature, solar radiation, and sol-air temperature, which have been treated as a periodic function of time. While, the room construction is constant due to their materials made of it, except the roof properties are taken as a variable generated practically from the improved mixing ratios.The result showed that using concrete panel with components (cement, sand, coarse aggregate, wood ash and Alabaster aggregates) with a ratio (1:1:2:1:1) and 3-plastic layer denoted by roof No.4, gives the best improvement of the thermal performance for the building. …”
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A new gene tree algorithm employing DNA sequences of bovine genome using discrete Fourier transformation. by Roxana Abadeh, Mehdi Aminafshar, Mostafa Ghaderi-Zefrehei, Mohammad Chamani

“…The Fourier transform shows that any periodic function can be rewritten as the sum of sinusoidal functions. …”
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The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines by Ayad M. Shahoot, Khaled A. E. Alurrfi, Mohamed O. M. Elmrid, Ali M. Almsiri, Abdullah M. H. Arwiniya

“…Soliton wave solutions, periodic function solutions, rational function solutions and Jacobi elliptic function solutions are obtained. …”
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Resonant amplification of curvature perturbations in inflation model with periodical derivative coupling by Li-Yang Chen, Hongwei Yu, Puxun Wu

“…In this paper, we introduce a weak, transient and periodical derivative coupling between the inflaton field and gravity, and find that the square of the sound speed of the curvature perturbations becomes a periodic function, which results in that the equation of the curvature perturbations can be transformed into the form of the Mathieu equation in the sub-horizon limit. …”
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On The Accuracy Of Tidal Waves Analysis by Perpustakaan UGM, i-lib

“…Both methods are basically replacing a periodic function (tidal waves) with a number of harmonics. …”

Probability of a zoonotic spillover with seasonal variation by Aadrita Nandi, Linda J.S. Allen

“…This probability is a periodic function of the time when infection is introduced into the animal population. …”
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New optical soliton solutions of thin-film ferroelectric material equation via the complete discrimination system method by Dan Chen, Zhao Li

“…As a result, the optical soliton solutions and various solutions are acquired, covering the elliptic double periodic function solution, Jacobian elliptic function solution etc. …”
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About nonlinear theory of two-cavity klystron with a drift space in the form of medium with complex permittivity by Funtov, Aleksandr Andreevich

“…Since the principle of operation of a resistive wall amplifier and an amplifier with complex conductivity is precisely the wave process, to construct a nonlinear theory, the Ovcharov–Solntsev wave method is used, the main idea of which is to consider the variable part of the electron passage angle (periodic function of the time of flight) using a series Fourier with few members. …”
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Fourier Graph Convolution Network for Time Series Prediction by Lyuchao Liao, Zhiyuan Hu, Chih-Yu Hsu, Jinya Su

“…The Fourier Embedding module represents a periodic function with a Fourier series that can find the optimal coefficient and optimal frequency parameters. …”
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Optimal valve closing law for improved water hammer control: a case from a water supply pipeline in Guelma, Algeria by Abdelouaheb Toumi, Fateh Sekiou

“…The findings reveal that when the slow closure time (t) exceeds 0.50 times the return period (t4), the exponent of the optimal law becomes a damped periodic function. Each closure time corresponds to a unique optimal law, and as the valve closure time increases, the range of optimal laws becomes narrower. …”
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Analytical solution of formation temperature distribution under dynamic heat load of borehole heat exchangers by Jiashu LI, Chuanshan DAI, Haiyan LEI, Fei MA

“…On this basis, the actual dynamic building heating and cooling load is approximately expanded into a finite of sine and cosine periodic functions with the Fourier series. By superimposing the analytical solution corresponding to each periodic function obtained by Fourier series expansion of the original dynamic load, the variation of formation temperature distribution under the actual dynamic heating and cooling load conditions can be obtained.…”
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule by Aleksandr A. Belov, Valentin S. Khokhlachev

“…In the present paper, new error estimates of exponentially converging quadratures from periodic functions over the full period are constructed. …”
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A sharp Remez type inequalities for the functions with asymmetric restrictions on the oldest derivative by V.A. Kofanov, A.V. Zhuravel

“…For odd $r\in \mathbb{N}$; $\alpha, \beta >0$; $p\in [1, \infty]$; $\delta \in (0, 2 \pi)$, any $2\pi$-periodic function $x\in L^r_{\infty}(I_{2\pi})$, $I_{2\pi}:=[0, 2\pi]$, and arbitrary measurable set $B \subset I_{2\pi},$ $\mu B \leqslant \delta/\lambda,$ where $\lambda=$ $\left({\left\|\varphi_{r}^{\alpha, \beta}\right\|_{\infty} \left\| {\alpha^{-1}}{x_+^{(r)}} + {\beta^{-1}}{x_-^{(r)}}\right\|_\infty}{E^{-1}_0(x)_\infty}\right)^{1/r}$, we obtain sharp Remez type inequality $$E_0(x)_\infty \leqslant \frac{\|\varphi_r^{\alpha, \beta}\|_\infty}{E_0(\varphi_r^{\alpha, \beta})^{\gamma}_{L_p(I_{2\pi} \setminus B_\delta)}} \left\|x \right\|^{\gamma}_{{L_p} \left(I_{2\pi} \setminus B \right)}\left\| {\alpha^{-1}}{x_+^{(r)}} + {\beta^{-1}}{x_-^{(r)}}\right\|_\infty^{1-\gamma},$$ where $\gamma=\frac{r}{r+1/p},$ $\varphi_r^{\alpha, \beta}$ is non-symmetric ideal Euler spline of order $r$, $B_\delta:= \left[M- \delta_2, M+ \delta_1 \right]$, $M$ is the point of local maximum of spline $\varphi_r^{\alpha, \beta}$ and $\delta_1 > 0$, $\delta_2 > 0$ are such that $\varphi_r^{\alpha, \beta}(M+ \delta_1) = \varphi_r^{\alpha, \beta}(M- \delta_2), \;\; \delta_1 + \delta_2 = \delta .$ In particular, we prove the sharp inequality of Hörmander-Remez type for the norms of intermediate derivatives of the functions $x\in L^r_{\infty}(I_{2\pi})$.…”
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Existence of weak quasi-periodic solutions for a second order Hamiltonian system with damped term via a PDE approach by Xingyong Zhang, Liben Wang

“…In this paper, we investigate the existence of weak quasi-periodic solutions for the second order Hamiltonian system with damped term: \begin{equation} \ddot{u}(t)+q(t)\dot{u}(t)+D W(u(t))=0, \qquad t\in \mathbb R,\tag{HSD} \end{equation} where $u:\mathbb R\to \mathbb R^n$, $q:\mathbb R\to \mathbb R$ is a quasi-periodic function, $W:\mathbb R^n\to \mathbb R$ is continuously differentiable, $DW$ denotes the gradient of $W$, $W(x)=-K(x)+F(x)+H(x)$ for all $x\in \mathbb R^n$ and $W$ is concave and satisfies the Lipschitz condition. …”
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An Investigation of Left Ventricular Valve Disorders and the Mechano-Electric Feedback Using a Synergistic Lumped Parameter Cardiovascular Numerical Model by Nicholas Pearce, Eun-jin Kim

“…The TVE model imposes the ventricular pressure–volume relationship using a periodic function rather than calculating it consistently. …”
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Development of an Analytical Model for Determining the Magnetic Flux of Scattering through the Gears of the Stator of a Synchronous Electric Machine with a Fractional Gear Winding by A. V. Menzhinski, S. V. Panteleev, A. N. Malashin

“…In addition, this ensures an accurate determination of the influence of the geometric parameters of the magnetic circuit on the nature of the change in the periodic function of the scattering flow through the stator gear in the shortest time, which is of an obvious practical significance. …”
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Solidification of binary aqueous solutions under periodic cooling. Part 1. Dynamics of mushy-layer growth by Ding, G, Wells, A, Zhong, J

“…We develop an experiment for solidification of aqueous NH4Cl solutions, where the temperature of the cooling boundary is modulated as a simple periodic function of time with independent variations of the modulation amplitude and frequency. …”

Information loss, mixing and emergent type III1 factors by Keiichiro Furuya, Nima Lashkari, Mudassir Moosa, Shoy Ouseph

“…Abstract A manifestation of the black hole information loss problem is that the two-point function of probe operators in a large Anti-de Sitter black hole decays in time, whereas, on the boundary CFT, it is expected to be an almost periodic function of time. We point out that the decay of the two-point function (clustering in time) holds important clues to the nature of observable algebras, states, and dynamics in quantum gravity. …”
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