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In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.
Common fractions are used most often when the denominator is relatively small. By mental calculation, it is easier to multiply 16 by 3/16 than to do the same calculation using the fraction's decimal equivalent (0.1875). And it is more accurate to multiply 15 by 1/3, for example, than it is to multiply 15 by any decimal approximation of one ...
If geometric algebra is used the cross product b × c of vectors is expressed as their exterior product b∧c, a bivector. The second cross product cannot be expressed as an exterior product, otherwise the scalar triple product would result. Instead a left contraction [6] can be used, so the formula becomes [7]
The death toll from stampedes during two Christmas charity events in Nigeria has increased from 13 to 32, police said Sunday. The victims, including at least four children, collapsed during crowd ...
The suspect in the killing of UnitedHealth Group executive Brian Thompson is expected to be transferred into New York's custody to face murder charges after he waived his right to extradition ...
We found 10 incredible mattresses on sale for Black Friday, including Nectar, Dreamcloud, Serta, Tuft & Needle, and others.
As mentioned above, the Lie algebra R 3 with cross product is isomorphic to the Lie algebra so(3), whose elements can be identified with the 3×3 skew-symmetric matrices. The map a → [a] × provides an isomorphism between R 3 and so(3). Under this map, the cross product of 3-vectors corresponds to the commutator of 3x3 skew-symmetric matrices.