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Page "Timothy Gowers" ¶ 28
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Multiplying and by
Multiplying the result by the number of cylinders in the engine gives the engine's total displacement.
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 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.
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 numbers
Multiplying the numbers is the same as componentwise adding their exponent vectors: ( 504 )( 490 ) has the vector ( 4, 2, 1, 3 ).
Multiplying the numbers of each line of Pascal's triangle down to the n < sup > th </ sup > Line by the numbers of the n < sup > th </ sup > Line generates the n < sup > th </ sup > Layer of the Tetrahedron.
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 and is
* Multiplying the 10240 megabytes of storage each Gmail user has ( as of April 2012 ) with the estimated 260 million Gmail users, the total storage needed for Gmail is more than an exabyte ( not considering backups and how Google might compress the stored data ).
Multiplying any two unit fractions results in a product that is another unit fraction:
Multiplying aα + bβ by the ideal number ι gives 2a + by, which is the nonprincipal ideal.
Multiplying the left hand side by, which is approximately equal to 1, we obtain
Multiplying with the inverse of gives, which is the plain text message.
* – With 42 contributors and articles ranging from Analysis of College Test Results to Uses of the Automatic Multiplying Punch this is book provides an extensive view of unit record equipment use over a wide range of applications.
Multiplying the basic points depending on whether the winner is the dealer or non-dealer, and whether the hand is won by tsumo or ron
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 or adding two integers may result in a value that is non-negative, but unexpectedly small.
Multiplying billiard balls ( Excelsior Ball Trick, August Roterberg, 1898 ) is a magic routine that is popular with both amateur and advanced conjurors but still rarely seen.
:" The history of the Multiplying Ball effect isn ’ t as ancient as one might believe, but it is all the more messy.

Multiplying and at
Multiplying the AM signal x ( t ) by an oscillator at the same frequency as and in phase with the carrier yields
Multiplying by the density of the fluid to obtain the equation for the mass flow rate at any section in the pipe:

Multiplying and 22
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 and for
Multiplying square matrices which represent linear transformations corresponds to the composite transformation ( see below for details ).
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,
Other names that have been used for this movement include the " Crossroads movement ," " Multiplying Ministries ," the " Discipling Movement " and the " Boston Church of Christ ".
Multiplying this by the 3 < sup > 8 </ sup > factor for the axial pieces gives 75, 582, 720 possible positions.
Multiplying the two factors for the emitter and receiver gives the relativistic Doppler shift:
Multiplying both sides of the equation 4 / n = 1 / x + 1 / y + 1 / z by nxyz leads to an equivalent form 4xyz = n ( xy + xz + yz ) for the problem.

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