what is the mathematical meaning of simulation?
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Definition. The use of a mathematical model to recreate a situation, often repeatedly, so that the likelihood of various outcomes can be more accurately estimated.
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Mathematical modelers use ideas from mathematics (as well as computational algorithms and techniques from statistics and operations research) to tackle big, messy, real problems. The models often optimize a limited resource such as time, money, energy, distance, safety, or health.
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Definition of mathematical geography : a branch of geography that deals with the figure and motions of the earth, its seasons and tides, its measurement, and its representation on maps and charts by various methods of projection.
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Another important difference is that some experiments operate directly on the target system, while computer simulations never do. More precisely, the kind of relation that subsists between the experimental object and the target system is typically one of the following: identity, being an instance, being a part.
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For our purposes, we'll define a model as an Excel spreadsheet that makes quantitative estimates or predictions based on a set of underlying assumptions. Generally, models are used to determine some outcome based on a number of different potential scenarios.
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In mathematics, input and output are terms that relate to functions. Both the input and output of a function are variables, which means that they change. You can choose the input variables yourself, but the output variables are always determined by the rule established by the function.
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Simulation/Emulation runs as a run-time emulator of physical hardware. ... Virtualization uses a hypervisor, which provides synthetic hardware abstraction - meaning, virtualization can run at the same performance as if it were running on physical hardware.
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A statistic is a numerical measurement describing some characteristic of a sample.
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Statistics is the study of the collection, organization, analysis, and interpretation of data. ... Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and analysis.
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A Statistic Is A Numerical Measurement Describing Data From A Population A Parameter Is An Aspect Of An Individual Subject Or Object Being Measured.
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Mathematical economics is a model of economics that utilizes math principles and methods to create economic theories and to investigate economic quandaries. Mathematics permits economists to conduct quantifiable tests and create models to predict future economic activity.
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AI or artificial intelligence is the simulation of human intelligence processes by machines, especially computer systems. These processes include learning, reasoning and self-correction. Some of the applications of AI include expert systems, speech recognition and machine vision.
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The long and short of it is, yes it's realistic and yes it should be considered a sim (and is by all but the elitists or fanboys really). But that doesn't mean it's AS realistic as all other simulators, because basically its level of simulation isn't quite as in-depth or complex.
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Artificial intelligence (AI) refers to the simulation of human intelligence in machines that are programmed to think like humans and mimic their actions. The term may also be applied to any machine that exhibits traits associated with a human mind such as learning and problem-solving.
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Experimental (empirical) probability is the actual probability of an event resulting from an experiment. An outcome of a probability experiment is one possible end result. Theoretical probability is the probability ration of the number of favourable outcomes divided by the number of possible outcomes.
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By a statistical experiment we mean the procedure of drawing a sample with the intention of making a decision. The sample values are to be regarded as the values of a random variable defined on some meas urable space, and the decisions made are to be functions of this random variable.
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Formal verification is the overarching term for a collection of techniques that use static analysis based on mathematical transformations to determine the correctness of hardware or software behavior in contrast to dynamic verification techniques such as simulation.