arbitrary function sentence in Hindi
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- A typical conclusion from this style of argument is that a " generic vacuum solution " to the Einstein field equation can be specified by giving four arbitrary functions of three variables and six arbitrary functions of two variables.
- A typical conclusion from this style of argument is that a " generic vacuum solution " to the Einstein field equation can be specified by giving four arbitrary functions of three variables and six arbitrary functions of two variables.
- This cannot be done with arbitrary functions with a noncommutative associative algebra, a simple power series ( with whatever left-coefficient you use for each term ) does not cover the space of continuous functions within the algebra.
- More generally it is required by Kochen and Specker that for an arbitrary function f the value \ scriptstyle v ( f ( { \ mathbf A } ) ) of observable \ scriptstyle f ( { \ mathbf A } ) satisfies
- This solution contains, as it should be for the general case of a field in vacuum, four arbitrary functions of the three space coordinates " x ", " y ", " z ".
- The time dependence of this solution turns out to be very similar to that in the particular case of homogeneous models; the latter can be obtained from the distribution-independent model by a special choice of the arbitrary functions contained in it.
- The Lagrange multipliers are arbitrary functions of time " t ", but not functions of the coordinates "'r " "'k ", so the multipliers are on equal footing with the position coordinates.
- This also rules out the idea there is a way to assign to arbitrary functions " their " computational complexity, meaning the assignment to any " f " of the complexity of an optimal program for " f ".
- Poincar?used for the first time the term " Lorentz transformation ", and he gave them a form which is used up to this day . ( Where \ ell is an arbitrary function of \ varepsilon, which must be set to unity to conserve the group characteristics.
- Such " two-dimensional " arbitrary functions appear, generally speaking, because the relationships between three-dimensional functions in the solutions of the Einstein equations are differential ( and not algebraic ), leaving aside the deeper problem about the geometric meaning of these functions.
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