When this technique is employed whilst playing chords, care must be taken in overtone selection as the overtones stemming from the non-root pitch can cause extreme dissonance.

When a resonant system such as a blown pipe or plucked string is excited, a number of overtones may be produced along with the fundamental tone.

When a string is bowed or tone in a wind instrument initiated by vibrating reed or lips, a phenomenon called mode-locking counteracts the natural inharmonicity of the string or air column and causes the overtones to lock precisely onto integer multiples of the fundamental pitch, even though these are slightly different than the natural resonance points of the instrument.

When any tine is plucked, the adjacent tines also vibrate, and these harmonizing secondary vibrations serve a similar role to the harmonic overtones of a string instrument-they increase the harmonic complexity of an individual note, though in a strange yet pleasing way.

When his advances towards Lucien remain fruitless, Georges starts a " special friendship ", i. e. a friendship with homosexual overtones, with a twelve-year-old student, the beautiful Alexandre ( Alexander ) Motier.

When used by a woman to address another woman, the sense may be friendly or hostile ( see Friend, above ); when used by a man to another man, it is generally perceived to have homosexual overtones ( i. e., suggesting that either the speaker or the addressee — or both — is homosexual ).

When the original sound sources are perfectly periodic, the note consists of several related sine waves ( which mathematically add to each other ) called the fundamental and the harmonics, partials, or overtones.

When I show up he will know you are a good wife to have told him about it ''.

When the Know-nothings get control, it will read, All men are created equal except Negroes and foreigners and Catholics.

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 combined with the metaphysical notion that pure forms of this universe are best appreciated when least embodied in a material substratum, it becomes clear that while earth will be dross on a scale of material-formal ratios, celestial bodies will be of a subtle, quickened, ethereal existence, in whose embodiment pure form will be the dominant component and matter will be absent or remain subsidiary.

She used to tell me, `` When I stand there and look at the flag blowing this way and that way, I have the wonderful, safe feeling that Americans are protected no matter which way the wind blows ''.

When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When these fields are surveyed together, important patterns of relationship emerge indicating a vast community of reciprocal influence, a continuity of thought and expression including many traditions, primarily literary, religious, and philosophical, but frequently including contact with the fine arts and even, to some extent, with science.

When different colors are used, she is just as likely to color trees purple, hair green, etc..

When finally the two bedraggled men reach their friend's home, Voltaire's fears are once again aroused.

`` When are you to leave ''??

When the roof blocks are all in place, the final rows of wall blocks are mortared into position.

When the aid operations are reorganized the Peace Corps should remain a semi-autonomous, functional unit.

When the budget goes to trustees for approval it is the president's budget, to which his faith and credit are committed ; ;

When they have 4 to 6 leaves and are thrifty little plants, it's time to set them out where they are to remain.

When aircraft are no longer helpless on airfields, they are no longer vulnerable to Aj.

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 they're on, the top edges are planed even with the sheer batten.

When painting, Mason's physical eyes are half-closed, while his mind's eye is wide open, and this circumstance accounts in part for the impression he wishes to convey.

When improvements are recommended in working conditions -- such as lighting, rest rooms, eating facilities, air-conditioning -- do you try to set a measure of their effectiveness on productivity??

When sufficiently accurate and complete measurements are available, it will be possible to set limits on the thermal and electrical characteristics of the surface and subsurface materials of the moon.

When some thirteen records of newly and recently born individuals are collated, little or no correlation between length and distribution can be detected.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??

When data objects are stored in an array, individual objects are selected by an index that is usually a non-negative scalar integer.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

When α is an integer, moreover, as was similarly the case for the functions of the first kind, the following relationship is valid:

When α is an integer, the Bessel functions J are entire functions of x.

When the numbers are very large, no efficient, non-quantum integer factorization algorithm is known ; an effort concluded in 2009 by several researchers factored a 232-digit number ( RSA-768 ), utilizing hundreds of machines over a span of 2 years.

When discussing what complexity classes the integer factorization problem falls into, it's necessary to distinguish two slightly different versions of the problem:

This set, consisting of the integers congruent to a modulo n, is called the congruence class or residue class or simply residue of the integer a, modulo n. When the modulus n is known from the context, that residue may also be denoted.

When the function's argument is 0 ( zero ) it will return the integer 1 ( one ).

When m is chosen so that ( a + bm )/ k is an integer, so are the other two numbers in the triple.

When the oscillator is long and thin, such as a guitar string, or the column of air in a trumpet, many of the partials are integer multiples of the fundamental frequency ; these are called harmonics.

# 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 originally developed, for the Intel i860, the use of integer math made sense ( both 2D and 3D calculations required it ), but as graphics cards that did much of this became common, integer SIMD in the CPU became somewhat redundant for graphical applications.

The derivation of de Moivre's formula above involves a complex number to the power n. When the power is not an integer, the result is multiple-valued, for example, when n = ½ then:

Exponentiation is a mathematical operation, written as b < sup > n </ sup >, involving two numbers, the base b and the exponent ( or index or power ) n. When n is a positive integer, exponentiation corresponds to repeated multiplication ; in other words, a product of n factors, each of which is equal to b ( the product itself can also be called power ):

When n is an integer, the solution P < sub > n </ sub >( x ) that is regular at x = 1 is also regular at x = − 1, and the series for this solution terminates ( i. e. is a polynomial ).

When,, denote integer numbers, it can be shown that.

When is a non-negative integer, then gives the number of

When spoken about graph labeling with unique labels, commonly taken from the integer range 1 ,..., n, where n is the number of the vertices of the graph, two labeled graphs are said to be isomorphic if the corresponding underlying unlabeled graphs are isomorphic.

When we want to write functions to make an abstract data type, we wish to write functions to interface with the data type, and thus we want to extract some data from the data type, for example, just the string or just the integer part of.

When the quotient is not an integer and the division process is extended beyond the decimal point, one of two things can happen.

When a man proves a positive integer to exist, he should show how to find it.