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Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.
A mathematical model is an abstract description of a concrete system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.
In mathematical modelling, we translate those beliefs into the language of mathematics. This has many advantages 1. Mathematics is a very precise language. This helps us to formulate ideas and identify underlying assumptions. 2. Mathematics is a concise language, with well-defined rules for manipulations. 3.
Many geometry applications will involve finding the perimeter or the area of a figure. The perimeter is a measure of the distance around a figure. The area is a measure of the surface covered by a figure.
What is a Mathematical Model? A mathematical model is a mathematical representation of a system used to make predictions and provide insight about a real-world scenario, and mathematical modelling is the process of constructing, simulating and evaluating mathematical models.
Geometric modeling relies on fundamental principles in mathematics and geometric transformations. Central to geometric modeling is a mathematical concept set as a framework for defining and describing digital objects, including points, vectors, curves, and surfaces.
1 Ιαν 2012 · Mathematical modeling is described as conversion activity of a real problem in a mathematical form. Modeling involves to formulate the real-life situations or to convert the problems in mathematical explanations to a real or believable situation.