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  2. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    The graph of the Dirac delta is usually thought of as following the whole x-axis and the positive y-axis. [ 5 ] : 174 The Dirac delta is used to model a tall narrow spike function (an impulse ), and other similar abstractions such as a point charge , point mass or electron point.

  3. Van 't Hoff equation - Wikipedia

    en.wikipedia.org/wiki/Van_'t_Hoff_equation

    When ⁠ B / C ⁠ < 1, C is the favored product, and the data on the Van 't Hoff plot will be in the negative region. Using this information, a Van 't Hoff analysis can help determine the most suitable temperature for a favored product.

  4. Delta potential - Wikipedia

    en.wikipedia.org/wiki/Delta_potential

    The delta potential is the potential = (), where δ(x) is the Dirac delta function. It is called a delta potential well if λ is negative, and a delta potential barrier if λ is positive. The delta has been defined to occur at the origin for simplicity; a shift in the delta function's argument does not change any of the following results.

  5. Laplacian of the indicator - Wikipedia

    en.wikipedia.org/wiki/Laplacian_of_the_indicator

    The outward normal n x was originally only defined for x in the surface, but it can be defined to exist for all x; for example by taking the outward normal of the boundary point nearest to x. The foregoing analysis shows that −n x ⋅ ∇ x 1 x∈D can be regarded as the surface generalisation of the one-dimensional Dirac delta function.

  6. Kronecker delta - Wikipedia

    en.wikipedia.org/wiki/Kronecker_delta

    In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers. The function is 1 if the variables are equal, and 0 otherwise: = {, =. or with use of Iverson brackets: = [=] For example, = because , whereas = because =.

  7. Rate of heat flow - Wikipedia

    en.wikipedia.org/wiki/Rate_of_heat_flow

    The rate of heat flow is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second). Heat is the flow of thermal energy driven by thermal non-equilibrium, so the term 'heat flow' is a redundancy (i.e. a pleonasm).

  8. Hessian matrix - Wikipedia

    en.wikipedia.org/wiki/Hessian_matrix

    The above rules stating that extrema are characterized (among critical points with a non-singular Hessian) by a positive-definite or negative-definite Hessian cannot apply here since a bordered Hessian can neither be negative-definite nor positive-definite, as = if is any vector whose sole non-zero entry is its first.

  9. Hildebrand solubility parameter - Wikipedia

    en.wikipedia.org/wiki/Hildebrand_solubility...

    (However, PE only dissolves at temperatures well above 100 °C.) Poly(styrene) has a solubility parameter of 9.1 cal 1/2 cm −3/2, and thus ethyl acetate is likely to be a good solvent. Nylon 6,6 has a solubility parameter of 13.7 cal 1/2 cm −3/2, and ethanol is likely to be the best solvent of those tabulated. However, the latter is polar ...