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  2. Vickers hardness test - Wikipedia

    en.wikipedia.org/wiki/Vickers_hardness_test

    The Vickers test can be used for all metals and has one of the widest scales among hardness tests. The unit of hardness given by the test is known as the Vickers Pyramid Number ( HV) or Diamond Pyramid Hardness ( DPH ). The hardness number can be converted into units of pascals, but should not be confused with pressure, which uses the same units.

  3. 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.

  4. Constraint (mathematics) - Wikipedia

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

    Constraint (mathematics) In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.

  5. Quadratic function - Wikipedia

    en.wikipedia.org/wiki/Quadratic_function

    The graph of a univariate quadratic function is a parabola, a curve that has an axis of symmetry parallel to the y -axis. If a quadratic function is equated with zero, then the result is a quadratic equation. The solutions of a quadratic equation are the zeros of the corresponding quadratic function. The bivariate case in terms of variables x ...

  6. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    Quadratic equation. In mathematics, a quadratic equation (from Latin quadratus ' square ') is an equation that can be rearranged in standard form as [1] where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)

  7. Einstein field equations - Wikipedia

    en.wikipedia.org/wiki/Einstein_field_equations

    v. t. e. In the general theory of relativity, the Einstein field equations ( EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. [1] The equations were published by Albert Einstein in 1915 in the form of a tensor equation [2] which related the local spacetime curvature (expressed by ...

  8. Trinomial - Wikipedia

    en.wikipedia.org/wiki/Trinomial

    Trinomial. Layers of Pascal's pyramid derived from coefficients in an upside-down ternary plot of the terms in the expansions of the powers of a trinomial. In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials. [1]

  9. Quadratically constrained quadratic program - Wikipedia

    en.wikipedia.org/wiki/Quadratically_constrained...

    Quadratically constrained quadratic program. In mathematical optimization, a quadratically constrained quadratic program ( QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions. It has the form. where P0, ..., Pm are n -by- n matrices and x ∈ Rn is the optimization variable.