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  2. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    Mathematical models can take many forms, including dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures. In general, mathematical models may include logical models.

  3. Model theory - Wikipedia

    en.wikipedia.org/wiki/Model_theory

    In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the statements of the theory hold). [ 1 ] The aspects investigated include the number and size of models ...

  4. Modeling and simulation - Wikipedia

    en.wikipedia.org/wiki/Modeling_and_simulation

    Modeling and simulation (M&S) is the use of models (e.g., physical, mathematical, behavioral, or logical representation of a system, entity, phenomenon, or process) as a basis for simulations to develop data utilized for managerial or technical decision making. [1][2] In the computer application of modeling and simulation a computer is used to ...

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...

  6. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The standard model is a quantum field theory, meaning its fundamental objects are quantum fields, which are defined at all points in spacetime. QFT treats particles as excited states (also called quanta) of their underlying quantum fields, which are more fundamental than the particles. These fields are.

  7. Statistical model - Wikipedia

    en.wikipedia.org/wiki/Statistical_model

    Statistical model. A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from a larger population). A statistical model represents, often in considerably idealized form, the data-generating process. [1] When referring specifically to probabilities ...

  8. Conceptual model - Wikipedia

    en.wikipedia.org/wiki/Conceptual_model

    A system model is the conceptual model that describes and represents the structure, behavior, and more views of a system. A system model can represent multiple views of a system by using two different approaches. The first one is the non-architectural approach and the second one is the architectural approach.

  9. Mathematical universe hypothesis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_universe...

    Mathematical universe hypothesis. In physics and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory, is a speculative "theory of everything" (TOE) proposed by cosmologist Max Tegmark. [1][2] According to the hypothesis, the universe is a mathematical object in and of itself.