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  2. Mathematics and architecture - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_architecture

    In the Renaissance, an architect like Leon Battista Alberti was expected to be knowledgeable in many disciplines, including arithmetic and geometry.. The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned ...

  3. Engineering mathematics - Wikipedia

    en.wikipedia.org/wiki/Engineering_mathematics

    Along with fields like engineering physics and engineering geology, both of which may belong in the wider category engineering science, engineering mathematics is an interdisciplinary subject motivated by engineers' needs both for practical, theoretical and other considerations outside their specialization, and to deal with constraints to be ...

  4. Descriptive geometry - Wikipedia

    en.wikipedia.org/wiki/Descriptive_geometry

    Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1]

  5. Architectural design optimization - Wikipedia

    en.wikipedia.org/wiki/Architectural_design...

    Architectural design optimization (ADO) is a subfield of engineering that uses optimization methods to study, aid, and solve architectural design problems, such as optimal floorplan layout design, optimal circulation paths between rooms, sustainability and the like.

  6. Mathematical methods in electronics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_methods_in...

    Mathematical Methods in Electronics Engineering involves applying mathematical principles to analyze, design, and optimize electronic circuits and systems. Key areas include: [1] [2] Linear Algebra: Used to solve systems of linear equations that arise in circuit analysis. Applications include network theory and the analysis of electrical ...

  7. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...

  8. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    The satisfiability problem, also called the feasibility problem, is just the problem of finding any feasible solution at all without regard to objective value. This can be regarded as the special case of mathematical optimization where the objective value is the same for every solution, and thus any solution is optimal.

  9. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    The problem P1 can be solved directly by computing antiderivatives. However, this method of solving the boundary value problem (BVP) works only when there is one spatial dimension. It does not generalize to higher-dimensional problems or problems like + ″ =. For this reason, we will develop the finite element method for P1 and outline its ...