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  2. Algebra tile - Wikipedia

    en.wikipedia.org/wiki/Algebra_tile

    This method of using algebra tiles to multiply polynomials is known as the area model [3] and it can also be applied to multiplying monomials and binomials with each other. An example of multiplying binomials is (2x+1)×(x+2) and the first step the student would take is set up two positive x tiles and one positive unit tile to represent the ...

  3. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, [3] linguistics, [4] and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different ...

  4. Field (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Field_(mathematics)

    e. In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.

  5. Applied mathematics - Wikipedia

    en.wikipedia.org/wiki/Applied_mathematics

    Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional ...

  6. Fuzzy mathematics - Wikipedia

    en.wikipedia.org/wiki/Fuzzy_mathematics

    Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a spectrum, as opposed to simple binary "yes" or "no" (0 or 1) inclusion. It started in 1965 after the publication of Lotfi Asker Zadeh 's seminal work Fuzzy sets. [ 1 ]

  7. Spline (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Spline_(mathematics)

    Spline (mathematics) For the drafting tool, see Flat spline. Single knots at 1/3 and 2/3 establish a spline of three cubic polynomials meeting with C2 parametric continuity. Triple knots at both ends of the interval ensure that the curve interpolates the end points. In mathematics, a spline is a function defined piecewise by polynomials.

  8. Mathematical visualization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_visualization

    Mathematical visualization is used throughout mathematics, particularly in the fields of geometry and analysis. Notable examples include plane curves, space curves, polyhedra, ordinary differential equations, partial differential equations (particularly numerical solutions, as in fluid dynamics or minimal surfaces such as soap films), conformal ...

  9. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    Area is the measure of a region 's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to ...

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