2021년 2월 17일 (수) 08:00에 Pythagoras0님의 편집

2021-02-17T08:00:28Z

Pythagoras0: /* 메타데이터 */ 새 문단

2020-12-26T12:13:34Z

메타데이터: 새 문단

Pythagoras0: /* 노트 */ 새 문단

2020-12-21T14:34:35Z

노트: 새 문단

새 문서

== 노트 ==

===위키데이터===
* ID : [https://www.wikidata.org/wiki/Q486902 Q486902]
===말뭉치===
# The model serves as the hypothesis; simulation and experiment serve to test it.<ref name="ref_d32291eb">[https://www.sciencedirect.com/topics/earth-and-planetary-sciences/mathematical-model Mathematical Model - an overview]</ref>
# Thus, the very existence of a model should eventually lead to its obsolescence.<ref name="ref_d32291eb" />
# Accepting this latter premise for the moment, how can general systems theory and more specifically, systems concepts aid our ability to model soil development?<ref name="ref_d32291eb" />
# Not all of the properties of systems outlined in Table 3.3 are necessarily going to be used in the construction of every soil-genesis model.<ref name="ref_d32291eb" />
# We begin by presenting the definitions of (biological) system and model.<ref name="ref_9a42af56">[https://www.frontiersin.org/articles/10.3389/fgene.2015.00354/full The (Mathematical) Modeling Process in Biosciences]</ref>
# Particular attention is given to the meaning of mathematical model within the context of biology.<ref name="ref_9a42af56" />
# For our purposes here, a model is a conceptual or mathematical representation of a system that serves to understand and quantify it.<ref name="ref_9a42af56" />
# A model is always a simplified representation of the reference system, which the scientist wishes to understand and quantify.<ref name="ref_9a42af56" />
# An application example of our methodology such as hospital beds’ management is presented in this paper to show the effectiveness of our mathematical model.<ref name="ref_4314cd4d">[https://www.mdpi.com/2227-7390/8/6/955/htm Mathematical Model for Production Plan Optimization—A Case Study of Discrete Event Systems †]</ref>
# A mathematical model is a description of a system using mathematical concepts and language.<ref name="ref_3bd5f907">[https://en.wikipedia.org/wiki/Mathematical_model Mathematical model]</ref>
# The process of developing a mathematical model is termed mathematical modeling.<ref name="ref_3bd5f907" />
# These and other types of models can overlap, with a given model involving a variety of abstract structures.<ref name="ref_3bd5f907" />
# In many cases, the quality of a scientific field depends on how well the mathematical models developed on the theoretical side agree with results of repeatable experiments.<ref name="ref_3bd5f907" />
# Are there limiting cases where the model simplifies?<ref name="ref_28ff7ea3">[https://www.mat.univie.ac.at/~neum/model.html Mathematical Modeling]</ref>
# Try to have a simple working model (with report) after 1/3 of the total time planned for the task.<ref name="ref_28ff7ea3" />
# Also, importantly, the birational model may provide an upper bound of N(t), and hence it is preferable to the rational one.<ref name="ref_22f3bd07">[https://royalsocietypublishing.org/doi/10.1098/rsif.2020.0494 Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2]</ref>
# On the other hand, the birational model requires data for several more additional days.<ref name="ref_22f3bd07" />
# This model involves six ordinary differential equations (ODEs) specified by nine parameters.<ref name="ref_22f3bd07" />
# However, the long series of existing data of the epidemics of Italy, Spain, France and Germany show that the logistic model does not provide accurate predictions.<ref name="ref_22f3bd07" />
# We develop a mathematical model to present the dynamical behavior of COVID-19 infection by incorporating isolation class.<ref name="ref_0c3104d0">[https://www.hindawi.com/journals/bmri/2020/3452402/ Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class]</ref>
# First, the formulation of model is proposed; then, positivity of the model is discussed.<ref name="ref_0c3104d0" />
# The local stability and global stability of proposed model are presented, which depended on the basic reproductive.<ref name="ref_0c3104d0" />
# For the numerical solution of the proposed model, the nonstandard finite difference (NSFD) scheme and Runge-Kutta fourth order method are used.<ref name="ref_0c3104d0" />
# Practice 4 sets forth the notion that students should be able to "model with mathematics.<ref name="ref_425a2726">[http://www.ams.org/publicoutreach/feature-column/fc-2012-09 AMS :: Feature Column :: Mathematical Modeling]</ref>
# For example, the Nobel Memorial Prize winning economist Robert Solow developed a mathematical model using a differential equation approach for understanding economic growth.<ref name="ref_425a2726" />
# There are many phrases in which model appears in conjunction with other words.<ref name="ref_425a2726" />
# We hear of model homes, model railroads, and model planes.<ref name="ref_425a2726" />
# it is explained how to analyze a real problem arising from science or engineering and how to best describe it through a mathematical model.<ref name="ref_6af32a04">[https://www.wiley.com/en-us/Mathematical+Modeling+and+Simulation%3A+Introduction+for+Scientists+and+Engineers-p-9783527407583 Mathematical Modeling and Simulation: Introduction for Scientists and Engineers]</ref>
# We simulate the model (1)-(18) in a rectangular domain Ω={(x,y),0≤x≤1,0≤y≤1}.<ref name="ref_f1b60823">[https://bmcsystbiol.biomedcentral.com/articles/10.1186/s12918-016-0348-2 Mathematical model on Alzheimer’s disease]</ref>
# Figure 2 shows the average density of all the 18 variables of the model over a period of 10 years.<ref name="ref_f1b60823" />
# 2, the steady states are approximately the same as those that we assumed in estimating some of the model parameters.<ref name="ref_f1b60823" />
# We shall apply our model to determine how this TNF- α inhibitor affects AD patients.<ref name="ref_f1b60823" />
# Developing a mathematical model is really just the start of a research project.<ref name="ref_bf4c4026">[https://theconversation.com/mathematical-modelling-a-language-that-explains-the-real-world-131476 Mathematical modelling: a language that explains the real world]</ref>
# Predictions obtained from any mathematical model need to be studied by experts in order to verify whether the model is a valid and accurate representation of the real-world problem of interest.<ref name="ref_bf4c4026" />
# In the model, it was assumed that BMP is produced on the dorsal side of the embryo, Sog is produced on the ventral side, Sog inhibits BMP, and BMP and Sog interact to form the BMP–Sog complex.<ref name="ref_29457724">[https://rep.bioscientifica.com/view/journals/rep/145/6/R175.xml?rskey=vW1I89&result=1 Mathematical modelling in developmental biology]</ref>
# Possible non-linear interactions between morphogens resulting in gradient scaling have recently been addressed in a framework of the expansion–repression model (Ben-Zvi & Barkai 2010).<ref name="ref_29457724" />
# In this model, one morphogen (‘repressor’) reduces the production rate of another morphogen (‘expander’), which, in turn, reduces the degradation rate of the repressor.<ref name="ref_29457724" />
# This model is indeed capable of reproducing the scaling of a morphogen, although the biological interpretation of particular kinetics used in the model is neither simple nor intuitive.<ref name="ref_29457724" />
# In this paper, we propose a mathematical model and perform computational simulations of the three-dimensional honeycomb formation using the immersed boundary method (IBM)5,6,7.<ref name="ref_66d4e7f8">[https://www.nature.com/articles/s41598-019-56942-6 Mathematical modeling and computer simulation of the three-dimensional pattern formation of honeycombs]</ref>
# (2) use a mathematical model to study the impact and burden of COVID-19 across a wide range of socioeconomic and demographic settings, with a focus on low- and middle-income countries (LMICs).<ref name="ref_3c43edee">[https://science.sciencemag.org/content/369/6502/368 Mathematical models to guide pandemic response]</ref>
# The amount of mechanistic detail included in such a model depends on its aims.<ref name="ref_3c43edee" />
# Using mathematical methods to understand and model crime is a recent idea that has drawn considerable attention from researchers during the last five years.<ref name="ref_e3c87412">[https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/mathematical-model-of-serious-and-minor-criminal-activity/F061B989C545559B67F5AE19D967900B A mathematical model of serious and minor criminal activity]</ref>
# We propose a more detailed form of this model that allows for two distinct criminal types associated with major and minor crime.<ref name="ref_e3c87412" />
# Additionally, we examine a stochastic variant of the model that represents more realistically the ‘generation’ of new criminals.<ref name="ref_e3c87412" />
# A preliminary statistical analysis of the data also supports the model's potential to describe crime.<ref name="ref_e3c87412" />
# At first glance there is nothing to model, because there was no change in production.<ref name="ref_bee57083">[https://www.mathsisfun.com/algebra/mathematical-models.html Mathematical Models]</ref>
# By comparing this to the weather on each day they can make a mathematical model of sales versus weather.<ref name="ref_bee57083" />
# In the model, we allow mutations to occur in any order, leading to a complex network of premalignant mutational genotypes on the way to colorectal cancer.<ref name="ref_3424950a">[https://www.pnas.org/content/117/34/20681 Mathematical model of colorectal cancer initiation]</ref>
# We parameterize the model using experimentally measured parameter values, many of them only recently available, and compare its predictions to epidemiological data on colorectal cancer incidence.<ref name="ref_3424950a" />
# The steps required for creating a mathematical model are comparable to the phases used for the scientific method.<ref name="ref_564c6474">[https://www.fuelcellstore.com/blog-section/mathematical-models Mathematical Models]</ref>
# Many equations are often put into a model to predict an outcome.<ref name="ref_564c6474" />
# The prediction phase uses the model designed to predict what will happen in a yet-to-be-conducted experiment or an anticipated set of events in the real world.<ref name="ref_564c6474" />
# Most scientists and engineers conduct experiments rather than create models, which means that they collect observations and convert those observations into a mathematical model.<ref name="ref_564c6474" />
# The model proposed below shows that, under plausible assumptions, claims #1 and #2 are compatible.<ref name="ref_0ba2aa61">[https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0009881 A Mathematical Model of Sentimental Dynamics Accounting for Marital Dissolution]</ref>
# The core of the model lies in two key assumptions, namely the second law –to be discussed in A2 below– and the long-term planning of a couple's relationship –plausibly sustained by claim #2 above.<ref name="ref_0ba2aa61" />
# Both partners share the same traits according to the model specifications below.<ref name="ref_0ba2aa61" />
# This assumption implies that the parameters, variables and utility structure defined in the model will all refer to the couple, as formed by two similar individuals.<ref name="ref_0ba2aa61" />
# You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results.<ref name="ref_b710e582">[https://ocw.tudelft.nl/courses/mathematical-modeling-basics/ Mathematical Modeling Basics]</ref>
# If needed, you can refine or improve your model, based on your first results.<ref name="ref_b710e582" />
# Young and her collaborators have been building their model by incorporating one basic element of vision at a time.<ref name="ref_eaaa94d2">[https://www.quantamagazine.org/a-mathematical-model-unlocks-the-secrets-of-vision-20190821/ Quanta Magazine]</ref>
# Previous efforts to model human vision made wishful assumptions about the architecture of the visual cortex.<ref name="ref_eaaa94d2" />
# “I think their model is an improvement in that it’s really founded on the real brain anatomy.<ref name="ref_eaaa94d2" />
# Young, Shapley and Chariker are not the first to try and answer that question with a mathematical model.<ref name="ref_eaaa94d2" />
# An early mathematical model was formed for the psychology of perception.<ref name="ref_73991c87">[https://www.mtholyoke.edu/courses/jmorrow/math_models.html Mathematical Modeling]</ref>
# If you were going to model population growth, what factors or variables would you want to include?<ref name="ref_73991c87" />
# Stella assumes that all models involve time, and we choose Stella as our model-creating tool.<ref name="ref_73991c87" />
# So, we have a very simple model that we can compare to reality.<ref name="ref_73991c87" />
# Choose Top of page ABSTRACT I.INTRODUCTION << II.THE MODEL AND RELATIVI...<ref name="ref_49a1dac0">[https://aip.scitation.org/doi/full/10.1063/1.3559460 Mathematical model I. Electron and quantum mechanics]</ref>
# We attempt to suggest a classical model for electron by studying the requirements of quantum mechanics, relativity and electrodynamics.<ref name="ref_49a1dac0" />
# We attempt to suggest a classical model for electron by studying the requirements ofrelativity and electrodynamics.<ref name="ref_49a1dac0" />
# We have generated a model called the Catter-Anticatter model.<ref name="ref_49a1dac0" />
===소스===
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 * ID :  [https://www.wikidata.org/wiki/Q486902 Q486902]

← 이전 판		2020년 12월 26일 (토) 12:13 판
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		+	== 메타데이터 ==
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		+	* ID : [https://www.wikidata.org/wiki/Q486902 Q486902]

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2021년 2월 17일 (수) 08:00에 Pythagoras0님의 편집

Pythagoras0: /* 메타데이터 */ 새 문단

Pythagoras0: /* 노트 */ 새 문단