When thinking of multiplication as repeated addition, the number to be multiplied is called the " multiplicand ", while the number of multiples is called the " multiplier ".

When all densities are multiplied by 4, orbits are the same ; gravitational forces are multiplied by 16 and accelerations by 4, velocities are doubled and orbital periods are halved.

When all densities are multiplied by 4, and all sizes are halved, orbits are similar ; masses are divided by 2, gravitational forces are the same, gravitational accelerations are doubled.

When matrices or members of various other associative algebras are multiplied, the product usually depends on the order of the factors.

When the signal is multiplied by ( aka ' heterodyned with ') the BFO waveform, it shifts the signal to < u > and </ u > to, which is known as the beat frequency or image frequency.

When discussing a leak in the system or backstreaming through the pump, throughput refers to the volume leak rate multiplied by the pressure at the vacuum side of the leak, so the leak throughput can be compared to the pump throughput.

When Signetics introduced a line of monolithic integrated circuits such as the NE565 that were complete phase-locked loop systems on a chip in 1969, applications for the technique multiplied.

When all of the details are worked out one ends up with an expression that again takes the form of an Arrhenius exponential multiplied by a slowly varying function of T. The precise form of the temperature dependence depends upon the reaction, and can be calculated using formulas from statistical mechanics involving the partition functions of the reactants and of the activated complex.

When there are fewer than 10 players in a tournament, the score is multiplied by a secondary factor / ( p + 1 ).

# When the balanced equation for a reaction is multiplied by an integer, the corresponding value of ΔH must be multiplied by that integer as well.

When multiplying matrices, the elements of the rows in the first matrix are multiplied with corresponding columns in the second matrix ( depicted in the image right ).

When the same roots occur multiple times, the terms in this formula corresponding to the second and later occurrences of the same root are multiplied by increasing powers of n. For instance, if the characteristic polynomial can be factored as ( x − r )< sup > 3 </ sup >, with the same root r occurring three times, then the solution would take the form

When elements of different degrees are multiplied, the degrees add like multiplication of polynomials.

When this is IMDCTed and multiplied again ( elementwise ) by the window function, the last-N half becomes:

When another function or a signal ( data ) is multiplied by a window function, the product is also zero-valued outside the interval: all that is left is the part where they overlap ; the " view through the window ".

When multiplied by the wind velocity on that plane, the units kelvins per meter and meters per second give kelvins per second.

When this uniform, collimated field is multiplied by the FT plane mask, and then Fourier transformed by the second lens, the output plane field ( which in this case is the impulse response of the correlator ) is just our correlating function, g ( x, y ).

When the free end of the cable is pulled by hand or by a winding machine, the pulley system delivers a force to the load that is equal to the applied force multiplied by the number of lengths of cable passing between the two blocks.

When multiplied out, the prey equation becomes:

When IDMS-calibrated serum creatinine is used ( which is about 6 % lower ), the above equations should be multiplied by 175 / 186 or by 0. 94086.

When books came to be printed in the 15th century, editions of the little book were multiplied to an enormous extent.

When a user uploads a file, their account is credited for an amount based on the uploaded file size, commonly multiplied three times.

When I asked him what, if anything, I could do about it, he surprised me by referring me to the director of the hall.

When they reached their neighbor's house, Pamela said a few polite words to Grace and kissed Melissa lightly on the forehead, the impulse prompted by a stray thought -- of the type to which she was frequently subject these days -- that they might never see one another again.

When his head came down, Curt grabbed him by the hair and catapulted him head first into the wall.

When it was followed by a second, whining even closer, Cobb swerved sharply aside into a depression.

When I question them as to what they mean by concepts like liberty and democracy, I find that they fall into two categories: the simpler ones who have simply accepted the shibboleths of their faith without analysis ; ;

This comes out in `` When The Bells Ring '', which describes the rallying of the peasants in southern Sweden to repel an invasion by the Danes.

When we `` forced '' individuals to assume the corporate structure by means of taxes and other legal statutes, we adopted what I would term `` pseudo-capitalism '' and so took a major step toward socialism.

When the proprietor dies, the establishment should become a corporation until it is either acquired by another proprietor or the government decides to drop it.

When the reactionary response is thus bolstered by an intellectual defense, the characteristics of that defense are explicable only in terms of the basic attitudes of unanalyzed reaction.

When he was stripped, deloused and numbered by his guards, his much-thumbed sketchbook was seized and thrown on a pile of prisoners' goods to be confiscated.

When her right hand was incapacitated by the rheumatism, Sadie learned to write with her left hand.

When Captain John Gibault of Salem had visited Burma in 1793 his ship, the Astra, had been promptly commandeered and taken by her captors up the Irrawaddy River.

When decision makers act within this frame they determine whether a claim put forward in the name of religion is to be accepted by the larger community as appropriate to religion.

When Dr. Adenauer was approached by a world citizen delegation to find out his disposition of my case, he gave them his personal approval of my entry, saying that all men advocating peace should be welcomed into Germany.

When, in March, 1640, the two towns were united under Coddington, Gorton claimed the union was irregular and illegally constituted and that it had never been sanctioned by the majority of freeholders.

When Sir Edward Greville enclosed the town commons on the Bancroft, Quiney and others leveled his hedges on January 21, 1600/1, and were charged with riot by Sir Edward.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

When founded by Franklin the Gazette was a weekly family newspaper and under its new name its format remained that of a newspaper but its columns gradually contained more and more fiction, poetry, and literary essays.

When East Germans fled to the West by the thousands, paeans of joy rose from the throats of Western publicists.

When Papa went out to do God's work, Stevie often accompanied him in the buggy, which was drawn by Violet, the new black mare.

When the boat had touched, the weaker ones and the two wounded men had been lifted out and carried away by the soldiers.

When they came to Mr. Jack's photograph, twenty by twelve inches in a curly silver frame, Miss Ada said, `` By rights I ought to leave that, seeing he won't take my clotheshorse ''.

When suitable equipment is located by the SBA representative, the small business concern is contacted and advised on when, where, and how to bid on such property.

When more than two figures are separated by subtraction symbols the subtraction must be carried out from the left to right if the result is to be correct.

When Stravinsky shaped his purpose to the shifting scenes of many cultures, many salons, many dialectics, many personalities, he tried to refashion himself into a stylist of many styles, determined by many disparate cultures.