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The slash is a slanting line punctuation mark /.It is also known as a stroke, a solidus, a forward slash and several other historical or technical names.Once used as the equivalent of the modern period and comma, the slash is now used to represent division and fractions, as a date separator, or to connect alternative terms.
MS-DOS 2.0, released 1983, copied the idea of a hierarchical file system from Unix and thus used the (forward) slash as the directory separator. [15] Possibly on the insistence of IBM, [ 16 ] [ 17 ] Microsoft added the backslash to allow paths to be typed at the command line interpreter prompt, while retaining compatibility with MS-DOS 1.0 (in ...
In an analogous way, one can obtain finite difference approximations to higher order derivatives and differential operators. For example, by using the above central difference formula for f ′(x + h / 2 ) and f ′(x − h / 2 ) and applying a central difference formula for the derivative of f ′ at x, we obtain the central difference approximation of the second derivative of f:
Backward finite difference [ edit ] To get the coefficients of the backward approximations from those of the forward ones, give all odd derivatives listed in the table in the previous section the opposite sign, whereas for even derivatives the signs stay the same.
The order of differencing can be reversed for the time step (i.e., forward/backward followed by backward/forward). For nonlinear equations, this procedure provides the best results. For linear equations, the MacCormack scheme is equivalent to the Lax–Wendroff method. [4]
As support for these is limited, the ordinary forward slash ／ and backward slash \ are occasionally used as substitutes. Alternatively, multiple single-character iteration marks can be used, as in tokorodokoro (ところゞゝゝ) or bakabakashii (馬鹿々々しい). This practice is also uncommon in modern writing, though it is occasionally ...
The backward differentiation formula (BDF) is a family of implicit methods for the numerical integration of ordinary differential equations.They are linear multistep methods that, for a given function and time, approximate the derivative of that function using information from already computed time points, thereby increasing the accuracy of the approximation.
The difference between two points, themselves, is known as their Delta (ΔP), as is the difference in their function result, the particular notation being determined by the direction of formation: Forward difference: ΔF(P) = F(P + ΔP) − F(P); Central difference: δF(P) = F(P + 1 / 2 ΔP) − F(P − 1 / 2 ΔP);