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  2. Total derivative - Wikipedia

    en.wikipedia.org/wiki/Total_derivative

    A total differential equation is a differential equation expressed in terms of total derivatives. Since the exterior derivative is coordinate-free, in a sense that can be given a technical meaning, such equations are intrinsic and geometric.

  3. Exact differential - Wikipedia

    en.wikipedia.org/wiki/Exact_differential

    An exact differential is sometimes also called a total differential, or a full differential, or, in the study of differential geometry, it is termed an exact form. The integral of an exact differential over any integral path is path-independent, and this fact is used to identify state functions in thermodynamics.

  4. Exact differential equation - Wikipedia

    en.wikipedia.org/wiki/Exact_differential_equation

    Given a simply connected and open subset D of and two functions I and J which are continuous on D, an implicit first-order ordinary differential equation of the form (,) + (,) =,is called an exact differential equation if there exists a continuously differentiable function F, called the potential function, [1] [2] so that

  5. Differential (mathematics) - Wikipedia

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

    The term differential is used nonrigorously in calculus to refer to an infinitesimal ("infinitely small") change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δx (pronounced delta x). The differential dx represents an infinitely small change in the variable x. The idea of an ...

  6. Differential equation - Wikipedia

    en.wikipedia.org/wiki/Differential_equation

    The order of the differential equation is the highest order of derivative of the unknown function that appears in the differential equation. For example, an equation containing only first-order derivatives is a first-order differential equation, an equation containing the second-order derivative is a second-order differential equation, and so on.

  7. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    Total derivative, total differential and Jacobian matrix Main article: Total derivative When f {\displaystyle f} is a function from an open subset of R n {\displaystyle \mathbb {R} ^{n}} to ⁠ R m {\displaystyle \mathbb {R} ^{m}} ⁠ , then the directional derivative of f {\displaystyle f} in a chosen direction is the best linear approximation ...

  8. Prisoners of Profit - The Huffington Post

    projects.huffingtonpost.com/prisoners-of-profit-2

    When the state evaluates current contractors, past performance counts for less than one-fourth of the total score. The bulk of the rating stems from the quality of the contractor’s technical proposal – its plans to staff the facility, for example, and its policies on security, escapes and training.

  9. Differential of a function - Wikipedia

    en.wikipedia.org/wiki/Differential_of_a_function

    A number of properties of the differential follow in a straightforward manner from the corresponding properties of the derivative, partial derivative, and total derivative. These include: [ 11 ] Linearity : For constants a and b and differentiable functions f and g , d ( a f + b g ) = a d f + b d g . {\displaystyle d(af+bg)=a\,df+b\,dg.}

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