Total Differential


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total differential

[′tōd·əl ‚dif·ə′ren·chəl]
(mathematics)
The total differential of a function of several variables, ƒ(x1, x2,…, xn ), is the function given by the sum of terms (∂ƒ/∂ xi ) dxi as i runs from 1 to n. Also known as differential.

Total Differential

 

The total differential of a function f(x, y, z, …) of several independent variables is

Define the increment of f as

∆ f = f(x +∆ x, y + ∆ y, z + ∆z,…)

- f(x, y, z,…)

then as

tends to zero, so does the difference Δf — df.

References in periodicals archive ?
This would indicate that EnergyPlus might be looking for total differential pressure as the input.
which have been obtained by taking the total differentials of equations in (1) and where A = [partial derivative]f/[partial derivative]x, B = [partial derivative]f/[partial derivative]u, C = [partial derivative]g/[partial derivative]x, and D = [partial derivative]g/[partial derivative]u.
After applying equation 5.4 to the hypothetical data, the results indicate that a failure to adjust support personnel to the lower volume of service results in additional costs of $98,858.17, an amount that represents approximately 14 percent of the total differential cost.
(For example, a vertical field undergoes an E-bend and then an H-bend; a horizontal field undergoes an H-bend and then an E-bend.) Therefore, the total differential phase shift for both field components is identical as long as the two bends are identical and this symmetry is preserved.
The total differential in the average log monthly earnings of the public and the informal sector is 0.5261.
Over the time period of our analysis, we find a general decrease in the total differential between white males and all reference groups of around 30% (column 2 of Table 4).
Taking the first Oaxaca/Blinder decomposition for example, we see that for single-ancestry Indians, 0.5115 out of a total differential of 0.5877 in log earnings can be attributed to differences in characteristics, or about 87.0% of the total differential, while 13.0% can be attributed to the "wage structure." For mixed ancestry/Indian race Indians, however, only about 59% of the differential can be attributed to differences in characteristics, while 41% is due to wage structures.
Thus, union membership reduces the black-white offer wage differential by $0.06, or approximately 1.9% of the total differential.(19)
A typical thermodynamic text usually incorporates calculus operators such as d, [delta] and [delta] to indicate total differential change, partial differential change or finite change respectively.
The alternative decomposition indicates that differences in preferences account for 14.4 percent of the total differential. If black coefficients for the wage equation are used along with Equation (12), the differential access measure is actually negative (-9.4 percent) and the overall measure of discrimination falls to 30.4 percent.(10)
Pan-European motor insurance program as parent master contract, including fitness and total differential cover (DIC / DIL) for Arriva plc, Sunderland, a subsidiary of DB ML AG as well as for subsidiaries / majority-owned subsidiaries of Arriva plc in the countries named under Lot 1 and Lot 2 with underwriting and administrative control and management of the program in Germany.
After combining (1)-(3), the total differential gearbox yield, [[eta].sub.di], can be obtained by dividing the sum of the output powers of each of the driven wheels by the input power:

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