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Page "hobbies" ¶ 248
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Multiplying and result
Multiplying by a power of 256 adds as many trailing null characters to the gzip file as indicated in the exponent which would still result in the DeCSS C code when unzipped.
Note: Multiplying historical U. S. prices of the period by 15 will result in an approximate value in today's prices .< ref >
Multiplying both sides with and integrating over result in
Multiplying or adding two integers may result in a value that is non-negative, but unexpectedly small.

Multiplying and by
Multiplying both sides by, we get
Multiplying by a linear phase for some integer m corresponds to a circular shift of the output: is replaced by, where the subscript is interpreted modulo N ( i. e., periodically ).
Multiplying the impulse response shifted in time according to the arrival of each of these delta functions by the amplitude of each delta function, and summing these responses together ( according to the superposition principle, applicable to all linear systems ) yields the output waveform.
Multiplying the top and bottom of the righthand side by and rewriting, we obtain:
Multiplying both sides of this equation by ( x < sub > 2 </ sub > − x < sub > 1 </ sub >) yields a form of the line generally referred to as the symmetric form:
Multiplying mole fraction by 100 gives the mole percentage, also referred as amount / amount percent ( abbreviated as n / n %).
Multiplying a vector by a positive number changes its length without changing its direction.
Multiplying the Dirac equation by from the left, and the adjoint equation by from the right, and subtracting, produces the law of conservation of the Dirac current:
Multiplying the temperature change by the mass and specific heat capacities of the substances gives a value for the energy given off or absorbed during the reaction.
Multiplying the energy equation by Ψ
Multiplying these by gives
Multiplying by the molar mass constant ensures that the calculation is dimensionally correct: atomic weights are dimensionless quantities ( i. e., pure numbers ) whereas molar masses have units ( in this case, grams / mole ).
Multiplying an n-by-n matrix A from the left with diag ( a < sub > 1 </ sub >,..., a < sub > n </ sub >) amounts to multiplying the i-th row of A by a < sub > i </ sub > for all i ; multiplying the matrix A from the right with diag ( a < sub > 1 </ sub >,..., a < sub > n </ sub >) amounts to multiplying the i-th column of A by a < sub > i </ sub > for all i.
Multiplying C < sub > d </ sub > by the car's frontal area gives an index of total drag.
Multiplying the equation by gives us the future value.
It has a dihedral D < sub > 4 </ sub > subgroup ( in fact it has three such ) of order 8, and thus of index 3 in O, which we shall call H. This dihedral group has a 4-member D < sub > 2 </ sub > subgroup, which we may call A. Multiplying on the right any element of a right coset of H by an element of A gives a member of the same coset of H ( Hca = Hc ).
Multiplying a row vector h times will permute the columns of the vector by the inverse of:
* Multiplying by 1 does not change a vector: 1v =
* Multiplying by 0 gives the null vector: 0v = 0 ;
Multiplying through by x < sup > 2 </ sup > + 2x-3, we have the polynomial identity

Multiplying and number
Multiplying 020408163265306122448979591836734693877551 by each of these integers results in a cyclic permutation of the original number:
Multiplying aα + bβ by the ideal number ι gives 2a + by, which is the nonprincipal ideal.
Multiplying the number of sprocket gears in front by the number to the rear gives the number of gear ratios, often called " speeds ".
Multiplying the number 1089 by the integers from 1 to 9 produces a pattern: multipliers adding up to 10 give products that are the digit reversals of each other.
Multiplying the ( n-1 ) th triangular number by 9 and then adding 1 yields the nth centered nonagonal number, but centered nonagonal numbers have an even simpler relation to triangular numbers: every third triangular number ( the 1st, 4th, 7th, etc.
Multiplying K degree-days per gallon by the number of gallon of usable fuel remaining in a tank gives the number of degree-days before a delivery is needed.
Multiplying the numerator and denominator of a fraction by the same ( non-zero ) number results in a fraction that is equivalent to the original fraction.

Multiplying and gives
Multiplying them together gives
Multiplying these three equations gives
Multiplying the equation for v < sub > m </ sub > above with i < sub > m </ sub > dt and summing over m gives the energy transferred to the system in the time interval dt,
Multiplying a > 0 with ∞ gives ∞.
* Multiplying by-1 gives the additive inverse: (- 1 ) v =-v.
Multiplying on the left side of the equation gives:
Multiplying both sides by gives a spherical Bessel differential equation with and.
Multiplying through both sides of this equation by gives the sum of the reciprocals of the positive square integers.
Multiplying 17, 576 by the six possible wheel orders gives 105, 456 different ways that the scrambler could be set up.
Multiplying the second equation by t < sup > k < sub > 0 </ sub ></ sup > and subtracting the first equation gives
Multiplying with the inverse of gives, which is the plain text message.
Multiplying this by the 3 < sup > 8 </ sup > factor for the axial pieces gives 75, 582, 720 possible positions.
Multiplying 7. 399 * 10 ^ 22 moles by 6. 022 * 10 ^ 23 molecules / mole gives 4. 456 * 10 ^ 46 oxygen molecules in the liquid water on the surface of the planet.
Multiplying by the period T of one revolution gives the precession of the orbit per revolution

0.129 seconds.