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Journal articles on the topic 'Non-linear growth function'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Hruby, Milan, Melvin L. Hamre, and Craig N. Coon. "Non-Linear and Linear Function in Body Protein Growth." Journal of Applied Poultry Research 5, no. 2 (1996): 109–15. http://dx.doi.org/10.1093/japr/5.2.109.

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2

Tırınk, Cem, Hasan Önder, Sabri Yurtseven, and Zeliha Kaya Akil. "Comparison of some non-linear functions to describe the growth for Linda geese with CART and XGBoost algorithms." Czech Journal of Animal Science 67, No. 11 (2022): 454–64. http://dx.doi.org/10.17221/129/2022-cjas.

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The aim of this study was to determine the best non-linear function describing the growth of the Linda goose breed. To achieve this aim, five non-linear functions, such as exponential, logistic, von Bertalanffy, Brody and Gompertz, were employed to define the live weight-age relationship for male and female Linda geese. In the study, 2 397 body weight-age records from 75 females and 66 males collected from three days to 17 weeks of age were evaluated using the “easynls” and “nlstools” packages for growth modelling of the Linda goose in R software. Each model was analysed in the live weight rec

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3

Jaidane, Rached. "Weigthed elliptic equation of Kirchhoff type with exponential non linear growthWeigthed elliptic equation of Kirchhoff type with exponential non linear growth." Annals of the University of Craiova - Mathematics and Computer Science Series 49, no. 2 (2022): 309–37. http://dx.doi.org/10.52846/ami.v49i2.1572.

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"This work is concerned with the existence of a positive ground state solution for the following non local weighted problem \begin{equation*} \displaystyle \left\{ \begin{array}{rclll} L_{(\sigma,V)}u &= & \displaystyle f(x,u)& \mbox{in} \ B \\ u &>&0 &\mbox{in }B\\ u&=&0 &\mbox{on } \partial B, \end{array} \right. \end{equation*} where $$L_{(\sigma,V)}u:=g(\int_{B}(\sigma(x)|\nabla u|^{N}+V(x)|u|^{N})dx)\big[-\textmd{div} (\sigma(x)|\nabla u|^{N-2} \nabla u)+V(x)|u|^{N-2}u\big],$$ B is the unit ball of $\mathbb{R}^{N}$, $ N>2$, $\sigma(x)=\Big(\log(\f

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Alexandrov, D. V., A. P. Malygin, and I. V. Alexandrova. "Solidification of leads: approximate solutions of non-linear problem." Annals of Glaciology 44 (2006): 118–22. http://dx.doi.org/10.3189/172756406781811213.

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AbstractWe present new analytical results relating to the growth and evolution of sea ice. It is noteworthy that thin sea ice plays a central role in the surface heat and mass balance of the Arctic Ocean. In order to describe these balances, we analyze highly resolved temperature data taken through the air/sea/ice interface during the transition from an ice-free to an ice-covered Arctic Ocean surface. Our detailed analysis of the field data is based on the classical model of a mushy layer, which is modified in order to obtain analytical solutions in explicit form (so, for example, ice thicknes

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Gundersen, Gary G., Enid M. Steinbart, and Shupei Wang. "Growth and oscillation theory of non-homogeneous linear differential equations." Proceedings of the Edinburgh Mathematical Society 43, no. 2 (2000): 343–59. http://dx.doi.org/10.1017/s0013091500020964.

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AbstractWe investigate the growth and the frequency of zeros of the solutions of the differential equation f(n) + Pn–1 (z) f(n–1) + … + P0 (z) f = H (z), where P0 (z), P1(z), …, Pn–1(z) are polynomials with P0 (z) ≢ 0, and H (z) ≢ 0 is an entire function of finite order.

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6

Tarasov, Vasily E. "Non-Linear Macroeconomic Models of Growth with Memory." Mathematics 8, no. 11 (2020): 2078. http://dx.doi.org/10.3390/math8112078.

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In this article, two well-known standard models with continuous time, which are proposed by two Nobel laureates in economics, Robert M. Solow and Robert E. Lucas, are generalized. The continuous time standard models of economic growth do not account for memory effects. Mathematically, this is due to the fact that these models describe equations with derivatives of integer orders. These derivatives are determined by the properties of the function in an infinitely small neighborhood of the considered time. In this article, we proposed two non-linear models of economic growth with memory, for whi

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Kaplan, Selçuk, and Eser Kemal Gürcan. "Comparison of growth curves using non-linear regression function in Japanese quail." Journal of Applied Animal Research 46, no. 1 (2016): 112–17. http://dx.doi.org/10.1080/09712119.2016.1268965.

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Cano, G., M. Blanco, I. Casasús, X. Cortés-Lacruz, and D. Villalba. "Comparison of B-splines and non-linear functions to describe growth patterns and predict mature weight of female beef cattle." Animal Production Science 56, no. 11 (2016): 1787. http://dx.doi.org/10.1071/an15089.

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The objective of this study was to compare the ability of Basis spline (B-spline) models and five non-linear functions (Richards, Brody, Von Bertalanffy, Gompertz and Logistic) to describe the growth of females of a beef cattle breed and predict cow mature weight (A). Random regression models that included animal variation within function parameters were fitted using mixed model procedures. Comparisons were made among these functions for goodness of fit, standardised residuals and biological interpretability of the growth curve parameters. The B-spline function showed the best goodness of fit

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Ali, A., K. Javed, I. Zahoor, and K. M. Anjum. "Determination of the best non-linear function to describe the growth of Kajli sheep." South African Journal of Animal Science 50, no. 3 (2020): 452–59. http://dx.doi.org/10.4314/sajas.v50i3.12.

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The aim of the present study was to determine the best non-linear growth function to describe the growth of Kajli sheep. For this aim, the Brody, von Bertalanffy, Logistic, and Gompertz models were used to describe the sigmoidal relationship between bodyweight and age of the Kajli sheep. The records obtained from the Livestock Experiment Station, Khushab, were collected between 2007 and 2018. The records comprised 9864 age-weight observations (300 for male, 9564 for female, 7392 for single, 2388 for twin, and 84 for triplet lambs), which extended from birth to 12 months old. Candidate non-line

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Cano, G., M. Blanco, I. Casasús, X. Cortés-Lacruz, and D. Villalba. "Corrigendum to: Comparison of B-splines and non-linear functions to describe growth patterns and predict mature weight of female beef cattle." Animal Production Science 56, no. 12 (2016): 2161. http://dx.doi.org/10.1071/an15089_co.

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The objective of this study was to compare the ability of Basis spline (B-spline) models and five non-linear functions (Richards, Brody, Von Bertalanffy, Gompertz and Logistic) to describe the growth of females of a beef cattle breed and predict cow mature weight (A). Random regression models that included animal variation within function parameters were fitted using mixed model procedures. Comparisons were made among these functions for goodness of fit, standardised residuals and biological interpretability of the growth curve parameters. The B-spline function showed the best goodness of fit

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11

Banik, Banna, Tahsina Akter, Chandan Kumar Roy, and Rabiul Hossain. "TRADE OPENNESS AND MANUFACTURING GROWTH OF ASIAN ECONOMIES: INVESTIGATING LINEAR AND NON-LINEAR EFFECT." Journal of Economics and Sustainability 7, no. 1 (2025): 76–94. https://doi.org/10.32890/jes2025.7.1.5.

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This study investigates the linear and non-linear effects of trade openness on manufacturing growth in 35 selected Asian economies from 2004 to 2022. Using linear and quadratic regression specifications derived from the production function framework of growth, panel data fixed effects models, two-stage least square (2SLS) method, and two-step difference and system generalized method of moments (GMM) estimation techniques, the study uncovers significant findings. The results from the linear static and dynamic specifications indicate a positive and significant impact of trade openness on manufac

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12

Wander, Israel, Leslie Banks-Sills, and Itzhak Levit. "Application of a penalty function to void growth in non-linear incompressible material." Computers & Structures 26, no. 5 (1987): 733–39. http://dx.doi.org/10.1016/0045-7949(87)90022-8.

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13

Mohammed, Ahmed, and Giovanni Porru. "Harnack inequality for non-divergence structure semi-linear elliptic equations." Advances in Nonlinear Analysis 7, no. 3 (2018): 259–69. http://dx.doi.org/10.1515/anona-2016-0050.

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AbstractIn this paper we establish a Harnack inequality for non-negative solutions of {Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity.

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Turra, Alexander, Guilherme N. Corte, Antonia Cecília Z. Amaral, Leonardo Q. Yokoyama, and Márcia R. Denadai. "Non-linear curve adjustments widen biological interpretation of relative growth analyses of the clam Tivela mactroides (Bivalvia, Veneridae)." PeerJ 6 (June 27, 2018): e5070. http://dx.doi.org/10.7717/peerj.5070.

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Evaluation of relative (allometric) growth provides useful information to understand the development of organisms, as well as to aid in the management of fishery-exploited species. Usually, relative growth analyses use classical models such as the linear equation or the power function (allometric equation). However, these methods do not consider discontinuities in growth and may mask important biological information. As an alternative to overcome poor results and misleading interpretations, recent studies have suggested the use of more complex models, such as non-linear regressions, in conjunc

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15

Reimberg, P., F. Bernardeau, T. Nishimichi, and M. Rizzato. "Failures of Halofit model for computation of Fisher matrices: a response function analysis." Monthly Notices of the Royal Astronomical Society 492, no. 4 (2020): 5226–33. http://dx.doi.org/10.1093/mnras/staa152.

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ABSTRACT The response function of a linear system undergoing a non-linear transformation measures the sensitivity of the non-linear output with respect to the initial linear state. This concept can also be applied to the non-linear growth of structures in the Universe. In this paper, we study the response function for the Halofit model, we present its analytic structure and we compare its theoretical prediction with the one as measured from simulations. We find a major departure between the two. We argue that a consequence of unmatched response functions is an intrinsic theoretical limitation

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16

Chyzhykov, Igor, and Jianren R. Long. "On non-separated zero sequences of solutions of a linear differential equation." Proceedings of the Edinburgh Mathematical Society 64, no. 2 (2021): 247–61. http://dx.doi.org/10.1017/s0013091521000122.

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AbstractLet $(z_k)$ be a sequence of distinct points in the unit disc $\mathbb {D}$ without limit points there. We are looking for a function $a(z)$ analytic in $\mathbb {D}$ and such that possesses a solution having zeros precisely at the points $z_k$, and the resulting function $a(z)$ has ‘minimal’ growth. We focus on the case of non-separated sequences $(z_k)$ in terms of the pseudohyperbolic distance when the coefficient $a(z)$ is of zero order, but $\sup _{z\in {\mathbb D}}(1-|z|)^p|a(z)| = + \infty$ for any $p > 0$. We established a new estimate for the maximum modulus of $a(z)$ in te

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17

Baraket, Sami, and Rached Jaidane. "Weighted Schrödinger-Kirchhoff type problem in dimension 2 with non-linear double exponential growth." Filomat 37, no. 16 (2023): 5373–98. http://dx.doi.org/10.2298/fil2316373b.

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In this work, we study the weighted Kirchhoff problem {g(?B(?(x)|?u|2 + V(x)u2)dx) [?div(?(x)?u) + V(x)u] = f (x, u) in B u > 0 in B u = 0 on ?B, where B is the unit ball in R2, ?(x) = log e |x| , the singular logarithm weight in the Trudinger-Moser embedding, g is a continuous positive function on R+ and the potential V is a continuous positve function. The nonlinearities are critical or subcritical growth in view of Trudinger-Moser inequalities. We prove the existence of non-trivial solutions via the critical point theory. In the critical case, the associated energy function does not sati

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18

Sharma, D., and Rakhi Nanda. "Volume prediction model for Chir pine (Pinus roxburghii Sargent)." Indian Journal of Forestry 31, no. 1 (2008): 57–60. http://dx.doi.org/10.54207/bsmps1000-2008-9x1dvo.

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The study was conducted on Chir pine stand (Pinus roxburghii Sargent) at Barog range (R-31) under Solan Forest Division (H.P.) during the year 2004-2005, to develop volume prediction model based allometric relationships between stand volume and stem growth parameters (DBH and Height). Among various linear and non-linear function, both log-linear and power function performed comparatively better over other functions. In both the functions, DBH and Height parameters explained 99 per cent and 95 per cent of variation in the stem volume, respectively. However, the power function outperformed the l

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19

Mandal, Ankush, та Sharvari Nadkarni-Ghosh. "One-point probability distribution function from spherical collapse: early dark energy versus ΛCDM". Monthly Notices of the Royal Astronomical Society 498, № 1 (2020): 355–72. http://dx.doi.org/10.1093/mnras/staa2073.

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ABSTRACT We compute the one-point probability distribution function (PDF) of an initially Gaussian dark matter density field using spherical collapse (SC). We compare the results to other forms available in the literature and also compare the PDFs in the Λ-cold dark matter model with an early dark energy (EDE) model. We find that the skewed lognormal distribution provides the best fit to the non-linear PDF from SC for both cosmologies, from a = 0.1 to 1 and for scales characterized by the comoving width of the Gaussian: σG = 0.5, 1, and 2. To elucidate the effect of cosmology, we examine the l

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20

Cheng, Maolin, and Zedi Jiang. "A New Class of Production Function Model and Its Application." Journal of Systems Science and Information 4, no. 2 (2016): 177–85. http://dx.doi.org/10.21078/jssi-2016-177-09.

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AbstractUnder some circumstances, the studies on economic growth theory can be translated into the researches on production function which will beneficial for the government to analyze the pattern of economic growth and then make reasonable policies. The commonly used production functions include C-D production function, CES production function, VES production function with different elasticity of substitution. This paper will put forward to a new class of production function which elasticity of substitutionσis a non-linear function ofK/L. With this new model, a calculation formula for accurat

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Santos, André Luiz Pinto dos, Tiago Alessandro Espínola Ferreira, Cícero Carlos Ramos de Brito, Frank Gomes-Silva, and Guilherme Rocha Moreira. "Proposal for a new non-linear model to describe growth curves." Bioscience Journal 40 (February 15, 2024): e40011. http://dx.doi.org/10.14393/bj-v40n0a2024-68936.

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This study was developed with longitudinal data measurements of Norfolk rabbits from birth to 119 days of age to estimate the average growth curve, with the primary objective of proposing a non-linear model. It also selected the most appropriate sigmoidal model to describe the growth of Norfolk rabbits. The adjustments provided by the logistic, von Bertalanffy, Gompertz, Brody, Richards, and proposed models were compared. The parameters were estimated using the “nls” function of the “stats” package in R software, the least-squares method, and the Gauss-Newton convergence algorithm. The goodnes

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22

Ait Khellou, Mustafa, and Abdelmoujib Benkirane. "Non-linear elliptic unilateral problems in Musielak-Orlicz spaces with L1 data." Boletim da Sociedade Paranaense de Matemática 36, no. 1 (2018): 51. http://dx.doi.org/10.5269/bspm.v36i1.29861.

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We prove an existence result of solutions for nonlinear elliptic unilateral problems having natural growth terms and L1 data in Musielak-Orlicz-Sobolev space W1Lφ, under the assumption that the conjugate function of φ satisfies the ∆2-condition.

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23

Nasir, Muhammad Abdur Rehman, Arifa Saeed, and Imran Akbar Saifi. "Revisiting Energy-Growth Hypothesis for Portugal Economy: A Case of Non-Linear ARDL in Production Function Framework." Journal of Asian Development Studies 14, no. 2 (2025): 607–15. https://doi.org/10.62345/jads.2025.14.2.48.

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The role of energy consumption is crucial in determining economic growth of any economy. Its impact is different in different economies. Therefore, in the present study we have attempted to investigate the non-linear impact of energy consumption by taking natural resource rent and trade openness as control factors in a production function framework for Portugal economy to see whether energy consumption accelerate economic growth in the pre-production stages or it hampers it. Similarly, we are also interested to see how energy consumption influences economic growth in the mature-stages of produ

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Kassabov, Martin, and Francesco Matucci. "On Groups with Slow Intersection Growth." Proceedings of the Edinburgh Mathematical Society 60, no. 2 (2016): 387–90. http://dx.doi.org/10.1017/s0013091516000201.

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AbstractIntersection growth concerns the asymptotic behaviour of the index of the intersection of all subgroups of a group that have index at most n. In this paper we show that the intersection growth of some groups may not be a nicely behaved function by showing the following seemingly contradictory results: (a) for any group G the intersection growth function iG(n) is super linear infinitely often, and (b) for any non-decreasing unbounded function f there exists a group G such that the graph of iG is below the one of f infinitely often.

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Ondaro-Mallea, Lurdes, Raul E. Angulo, Matteo Zennaro, Sergio Contreras, and Giovanni Aricò. "Non-universality of the mass function: dependence on the growth rate and power spectrum shape." Monthly Notices of the Royal Astronomical Society 509, no. 4 (2021): 6077–90. http://dx.doi.org/10.1093/mnras/stab3337.

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ABSTRACT The abundance of dark matter haloes is one of the key probes of the growth of structure and expansion history of the Universe. Theoretical predictions for this quantity usually assume that, when expressed in a certain form, it depends only on the mass variance of the linear density field. However, cosmological simulations have revealed that this assumption breaks, leading to 10–20 per cent systematic effects. In this paper, we employ a specially designed suite of simulations to further investigate this problem. Specifically, we carry out cosmological N-body simulations where we system

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Sánchez-Ruiz, Luis M., Sanjib Kumar Datta, Nityagopal Biswas та Matilde Legua. "Picturing the Growth Order of Solutions in Complex Linear Differential–Difference Equations with Coefficients of φ-Order". Axioms 12, № 3 (2023): 239. http://dx.doi.org/10.3390/axioms12030239.

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Given an unbounded non-decreasing positive function φ, we studied what the relations are between the growth order of any solution of a complex linear differential–difference equation whose coefficients are entire or meromorphic functions of finite φ-order. Our findings extend some earlier well-known results.

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Mekki, Mogtaba B., and Michael R. C. Hunt. "Linear vs. Non-linear Behaviour in Ion Irradiation Nanostructuring of Nickel and Silicon Surfaces." Journal of Physics: Conference Series 2751, no. 1 (2024): 012001. http://dx.doi.org/10.1088/1742-6596/2751/1/012001.

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Abstract Spontaneous nanometre-scale quasi-periodic ripple-like structures are formed at the surface of polycrystalline Ni films and Si(111) single crystal wafers by irradiation with a broad Ar+ ion beam at room temperature and studied with Atomic Force Microscopy as a function of fluence. The development of these structures can be reproduced by numerical solution of a continuum equation describing the evolution of surface morphology under ion irradiation, using realistic coefficients derived from material properties. In particular, we demonstrate that differences observed in pattern formation

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Streitenberger, Peter, and Dana Zöllner. "Topology Based Growth Law and New Analytical Grain Size Distribution Function of 3D Grain Growth." Materials Science Forum 558-559 (October 2007): 1183–88. http://dx.doi.org/10.4028/www.scientific.net/msf.558-559.1183.

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Based on topological considerations and results of Monte Carlo Potts model simulations of three-dimensional normal grain growth it is shown that, contrary to Hillert’s assumption, the average self-similar volume change rate is a non-linear function of the relative grain size, which in the range of observed grain sizes can be approximated by a quadratic polynomial. In particular, based on an adequate modification of the effective growth law, a new analytical grain size distribution function is derived, which yields an excellent representation of the simulated grain size distribution.

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Vuori, Kaarina, Ismo Strandén, Marja-Liisa Sevón-Aimonen, and Esa A. Mäntysaari. "Estimation of non-linear growth models by linearization: a simulation study using a Gompertz function." Genetics Selection Evolution 38, no. 4 (2006): 343. http://dx.doi.org/10.1186/1297-9686-38-4-343.

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Hosseinidoust, Seyed Ehsan, Khezri Mohsen, and Asma Shiri. "Investigation of non-linear impacts of factors affecting greenhouse gas emissions." Environmental energy and economic research 4, no. 4 (2020): 250–61. https://doi.org/10.22097/eeer.2020.220667.1142.

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The link between economic growth and environmental pollution has been extensively and statistically analyzed over the past two decades. The present study investigates the nonlinear effects of variables affecting greenhouse gas emissions. To this aim, a Time Varying Parameters Vector Autoregression (TVP-VAR) model has developed using annual data which covers period of 1972-2018. Moreover, the associated Impulse Response Function (IRF) of the selected influential variables such as GDP (oil, without oil) and electricity consumption on the greenhouse gas emissions (carbon dioxide) are computed. Fi

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Ovi, Murshed Ahmed, AM Niger, and CN Podder. "The Role of Non-Linear Birth Functions on the Dynamics of Malaria Vector Population." Dhaka University Journal of Science 67, no. 1 (2019): 55–62. http://dx.doi.org/10.3329/dujs.v67i1.54573.

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As mosquito vector plays a significant role in malaria dynamics, a deterministic delay differential equation model10 for the population dynamics of the malaria vector is rigorously analyzed for the non-delay part subject to a new form of vector birth rate function; the Hassell function. For the Hassell function, the model has a non-trivial equilibrium which is locally-asymptotically stable under certain conditions. It is also shown that the non-trivial equilibrium corresponding to this birth function bifurcates into a limit cycle via a Hopf bifurcation. The Maynard-Smith-Slatkin function is be

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CHANG, ALBERT LING SHENG, and NAVIES MAISIN. "SOLVING COCOA POD SIGMOID GROWTH MODEL WITH NEWTON RAPHSON METHOD." International Journal of Modern Physics: Conference Series 09 (January 2012): 44–51. http://dx.doi.org/10.1142/s2010194512005089.

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Cocoa pod growth modelling are useful in crop management, pest and disease management and yield forecasting. Recently, the Beta Growth Function has been used to determine the pod growth model due to its unique for the plant organ growth which is zero growth rate at both the start and end of a precisely defined growth period. Specific pod size (7cm to 10cm in length) is useful in cocoa pod borer (CPB) management for pod sleeving or pesticide spraying. The Beta Growth Function is well-fitted to the pods growth data of four different cocoa clones under non-linear function with time (t) as its ind

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Popivanov, Petar, and Angela Slavova. "Some Non-Linear Evolution Equations and Their Explicit Smooth Solutions with Exponential Growth Written into Integral Form." Mathematics 12, no. 7 (2024): 1003. http://dx.doi.org/10.3390/math12071003.

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In this paper, exact solutions of semilinear equations having exponential growth in the space variable x are found. Semilinear Schrödinger equation with logarithmic nonlinearity and third-order evolution equations arising in optics with logarithmic and power-logarithmic nonlinearities are investigated. In the parabolic case, the solution u is written as u=be−ax2, a<0, a,b being real-valued functions. We are looking for the solutions u of Schrödinger-type equation of the form u=be−ax22, respectively, for the third-order PDE, u=AeiΦ, where the amplitude b and the phase function a are complex-

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Peters, S. O., C. O. N. Ikeobi, M. O. Ozoje, and O. A. Adebambo. "Modelling growth in seven chicken genotypes." Nigerian Journal of Animal Production 32, no. 1 (2021): 28–38. http://dx.doi.org/10.51791/njap.v32i1.1079.

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Three non-linear growth models were used to fit weight-age data for seven chicken genotypes: Comparisons were made among these models for goodness of fit, biological interpretability and computational case. Monomolecular and Richards Models overestimated body weight at the early phases of growth. All the three models underestimated the asymptotic mature weight but Gumpertz function gave a better estimate than the other two. Maturing rates were also variable and Richards Model gave the best estimate of K. Using these three non-linear models to describe growth rate of chest girth of the seven ch

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Biswas, Nityagopal, and Pulak Sahoo. "Growth properties of solutions of linear difference equations with coefficients having $\varphi$-order." Studia Universitatis Babes-Bolyai Matematica 68, no. 2 (2023): 295–306. http://dx.doi.org/10.24193/subbmath.2023.2.06.

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"In this paper, we investigate the relations between the growth of entire coefficients and that of solutions of complex homogeneous and non-homogeneous linear difference equations with entire coefficients of $% \varphi $-order by using a slow growth scale, the $\varphi $-order, where $% \varphi $ is a non-decreasing unbounded function. We extend some precedent results due to Zheng and Tu (2011) [15] and others."

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Abd-Alameer, Ahmed Burair, and Nasr Noori Al-Anbari. "Prediction of Lambs Growth From Milk Production and Its Composition in Awassi Sheep and Description of Growth Curve of Non-Linear Function." IOP Conference Series: Earth and Environmental Science 910, no. 1 (2021): 012060. http://dx.doi.org/10.1088/1755-1315/910/1/012060.

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Abstract This study was undertaken at the Ruminant’s Research Station, Office of Agricultural Research/Ministry of Agriculture (20 km west of Baghdad). 102 ewes were used in this study from 1/1/2020- 1/10/2021 to study prediction of lambs growth from milk production and its composition in Awassi sheep and description of growth cure of non–linear function. Simple regression was used to examine relationship between growth traits such as gain, weaning weight, weight at 6 months of age and milk production and its composition. Regression of weaning weight was positive and highly significant (P≤ 0.0

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Syah, Rahmad, Peyman Khorshidian Mianaei, Marischa Elveny, et al. "A New Hybrid Algorithm for Multi-Objective Reactive Power Planning via FACTS Devices and Renewable Wind Resources." Sensors 21, no. 15 (2021): 5246. http://dx.doi.org/10.3390/s21155246.

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The power system planning problem considering system loss function, voltage profile function, the cost function of FACTS (flexible alternating current transmission system) devices, and stability function are investigated in this paper. With the growth of electronic technologies, FACTS devices have improved stability and more reliable planning in reactive power (RP) planning. In addition, in modern power systems, renewable resources have an inevitable effect on power system planning. Therefore, wind resources make a complicated problem of planning due to conflicting functions and non-linear con

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Terra, Marcela de Castro Nunes Santos, Marcos Gabriel Braz de Lima, Juliano de Paulo dos Santos, et al. "Non-linear growth models for tree species used for forest restoration in Brazilian Amazon Arc of Deforestation." Pesquisa Florestal Brasileira 42 (June 13, 2022): 1–13. http://dx.doi.org/10.4336/2022.pfb.42e202102180.

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The large amount of degraded areas and productive potential of the legal reserves in Brazil make restoration an environmental demand and a commercial opportunity. We modelled the diameter growth as a function of age of eight tree species in restoration plantations in the Brazilian Amazon. From 14 years of annual forest inventory data, for each species, we tested variations of logistic function: simple logistic, logistic with covariant (plant area at the time of planting), logistic with random effect, logistic with random effect and covariant. Amongst the studied species, Schizolobium parahyba

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Rajeswari, A., and P. Murugakoothan. "Growth and Characterization of Non-Linear Optical Single Crystal Guanidinium triscadmium Sulphate Octahydrate." Asian Journal of Chemistry 31, no. 3 (2019): 661–68. http://dx.doi.org/10.14233/ajchem.2019.21722.

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Semi-organic single crystals of guanidinium tris cadmium sulphate octahydrate (GuCdS) with nonlinear optical properties were successfully grown by slow solvent evaporation technique. The grown crystals were characterised by powder X -ray diffraction analysis to determine the unit cell parameters. The structure of the compound belongs to triclinic crystal system and space group is found to be P1. The grown crystals were subjected to FTIR spectroscopic analysis to confirm the presence of functional groups present in the compound. UV-vis-NIR spectral study suggested that the grown crystal is tra

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Bandura, Andriy. "Application of Hayman’s Theorem to Directional Differential Equations With Analytic Solutions in the Unit Ball." Studia Universitatis Babes-Bolyai Matematica 69, no. 2 (2024): 335–50. http://dx.doi.org/10.24193/subbmath.2024.2.06.

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In this paper, we investigate analytic solutions of higher order linear non-homogeneous directional differential equations whose coefficients are analytic functions in the unit ball. We use methods of theory of analytic functions in the unit ball having bounded L-index. Our proofs are based on application of inequalities from analog of Hayman’s theorem for analytic functions in the unit ball. There are presented growth estimates of their solutions which contain parameters depending on the coefficients of the equations. Also, we obtained sufficient conditions that every analytic solution of the

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Memari, Amin. "Computational Analysis of Linear Elastic Crack Growth in Functionally Graded Bodies Using Non-Uniform Steps Integrated in the MLPG." International Journal of Applied Mechanics 11, no. 08 (2019): 1950080. http://dx.doi.org/10.1142/s1758825119500807.

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This paper describes the estimation of mixed-mode crack growth path in functionally graded materials under mechanical and thermal loads by the meshless method. Simple and complex geometries with single and double cracks are provided to verify the merits of a recently proposed modified meshless local Petrov–Galerkin method and to show the applicability of this method in crack growth simulation. Polygon test function domains are constructed locally at every crack growth step in order to numerically calculate contour and domain integrals. The classical form of thin plate spline radial basis funct

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Wojnarowska, Anna, Sylwia Pałka, AGNIESZKA OTWINOWSKA-MINDUR, and Ewa Ptak. "Comparison of two non-linear functions describing the growth of Popielno White and New Zealand White rabbits." ANIMAL SCIENCE AND GENETICS 18, no. 4 (2022): 1–13. http://dx.doi.org/10.5604/01.3001.0016.1097.

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The objective of this study was to compare growth curves of Popielno White and New Zealand White rabbits modelled by the von Bertalanffy and Gompertz functions. There were 37 Popielno White (21 males and 16 females) and 55 New Zealand White (28 males and 27 females) rabbits used. The nonlinear regression procedure (NLIN) in the SAS 9.4 software (SAS, 2014) was used for modelling rabbits growth curves from birth to 12th week of age. To see how the process of rabbit growth might run in next weeks, we extrapolated weights of rabbits up to 30th week of age. Six criteria: the mean error, mean squar

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Johansyah, Muhamad Deni, Asep K. Supriatna, Endang Rusyaman, and Jumadil Saputra. "Solving the Economic Growth Acceleration Model with Memory Effects: An Application of Combined Theorem of Adomian Decomposition Methods and Kashuri–Fundo Transformation Methods." Symmetry 14, no. 2 (2022): 192. http://dx.doi.org/10.3390/sym14020192.

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The primary purpose of this study is to solve the economic growth acceleration model with memory effects for the quadratic cost function (Riccati fractional differential equation), using Combined Theorem of Adomian Polynomial Decomposition and Kashuri–Fundo Transformation methods. The economic growth model (EGM) with memory effects for the quadratic cost function is analysed by modifying the linear fractional differential equation. The study’s significant contribution is to develop a linear cost function in the EGM for a quadratic non-linear cost function and determine the specific conditions

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Poston, Robert J. "Defining multiplication in o-minimal expansions of the additive reals." Journal of Symbolic Logic 60, no. 3 (1995): 797–816. http://dx.doi.org/10.2307/2275757.

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This paper considers o-minimal expansions of the structure —the ordered additive reals. More particularly we consider the case when the expansions are “eventually nonlinear” (see below), and find that multiplication is actually definable in all cases except when the structure is “eventually almost linear”, which is a rare special case in which multiplication is obviously not definable. Thus the main theorem established is:Theorem 1.1. For an o-minimal expansion of , if is eventually non-almost-linear then multiplication is definable in.(A structure is eventually almost linear iff every definab

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Huang, Xian-Tao. "An almost rigidity theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth." Communications in Contemporary Mathematics 22, no. 04 (2018): 1850076. http://dx.doi.org/10.1142/s0219199718500761.

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The main results of this paper consist of two parts. First, we obtain an almost rigidity theorem which roughly says that on an [Formula: see text] space, when a domain between two level sets of a distance function has almost maximal volume compared to that of a cylinder, then this portion is close to a cylinder as a metric space. Second, we apply this almost rigidity theorem to study noncompact [Formula: see text] spaces with linear volume growth. More precisely, we obtain the sublinear growth of diameter of geodesic spheres, and study the non-existence problem of nonconstant harmonic function

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Maillard, R. S., A. Maillard та K. Polgár. "Visible and UV effective non-linear optical coefficients of β-BaB2O4 as function of the growth technique". Optical Materials 31, № 6 (2009): 899–901. http://dx.doi.org/10.1016/j.optmat.2008.10.043.

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Nordin, Mohd Khairi, Mohammad Farid Saaid, Nooritawati Md Tahir, Ahmad Ihsan Mohd Yassin, and Megat Syahirul Amin Megat Ali. "Non-linear behavior of root and stem diameter changes in monopodial orchid." Bulletin of Electrical Engineering and Informatics 10, no. 6 (2021): 3452–59. http://dx.doi.org/10.11591/eei.v10i6.3191.

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Precision agriculture aims to maximize yield with optimum resources. Vast majority of natural systems are acknowledged as complex and non-linear. However, prior to formulation of precise models, linearity tests are performed to validate plant behavior. This study has presented proof that the water uptake system in monopodial orchid is indeed non-linear. The change in physical growth of root and stem due to temperature and relative humidity factors are observed. The work focused on Ascocenda Fuchs Harvest Moon x (V. Chaophraya x Boots) orchid hybrid. Three complementary methods are presented: l

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Gruler, Hans, and Neil A. R. Gow. "Directed Growth of Fungal Hyphae in an Electric Field." Zeitschrift für Naturforschung C 45, no. 3-4 (1990): 306–14. http://dx.doi.org/10.1515/znc-1990-3-427.

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Abstract The galvanotropic response of the mycelial fungus Neurospora crassa is investigated. The angle distribution function of growing hyphae is described by a generating function which contains two non-trivial terms; one for directional growth and one for bidirectional growth. The following results were obtained, (i) Germ tubes grew towards the anode, (ii) The cellular response was linear for small sized cells and weaker electric fields. The galvanotropic constant, KGROW, which describes the linear response, was small for short germ tubes or hyphae (AGROW-1 = -20 V -cm-1 for I0 = 10 |am) an

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Xiu, Jing, Tianyu Zhao, Guangmin Jin, Liang Li, and Huaping Sun. "Non-Linear Nexus of Technological Innovation and Carbon Total Factor Productivity in China." Sustainability 15, no. 18 (2023): 13811. http://dx.doi.org/10.3390/su151813811.

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Scientific and technological innovation is the main driving force of the growth in the 14th Five-Year Plan with the aim of “carbon peaking and neutralization.” This research analyzes the carbon total factor productivity (CTFP) improvement mechanism induced by micro-subject technological innovation and macro-technological progress (TP). This research constructed the Malmquist index based on a relaxed nonparametric DEA model, measured the TP level and CTFP in China, and considered the non-strict externalization of technological progress. The endogenous dynamic threshold model was used to test th

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Galaktionov, Victor A., and Sergey A. Posashkov. "Any large solution of a non-linear heat conduction equation becomes monotonic in time." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 118, no. 1-2 (1991): 13–20. http://dx.doi.org/10.1017/s0308210500028857.

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SynopsisIn this paper we prove a certain monotonicity in time of non-negative classical solutions of the Cauchy problem for the quasilinear uniformly parabolic equation u1 = (ϕ(u))xx + Q(u) in wT = (0, T] × R1 with bounded sufficiently smooth initial function u(0, x) = uo(x)≧0 in Rl. We assume that ϕ(u) and Q(u) are smooth functions in [0, +∞) and ϕ′(u) >0, Q(u) > 0 for u > 0. Under some additional hypothesis on the growth of Q(u)ϕ′(u) at infinity, it is proved that if u(to, xo) becomes sufficiently large at some point (to, xo) ∈ wT, then ut(t, x0) ≧0 for all t ∈ [t0, T]. The proof is

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