Denominator sentence example

denominator
  • can be applied to n, n', the denominator n remaining unaltered.
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  • Generally, to find the sum or difference of two or more fractional numbers, we must replace them by other fractional numbers having the same denominator; it is usually most convenient to take as this denominator the L.C.M.
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  • Hence, so long as the denominator remains unaltered, we can deal with, exactly as if they were numbers, any operations being performed on the numerators.
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  • A fraction written in this way is called a decimal fraction; or we might define a decimal fraction as a fraction having a power of To for its denominator, there being a special notation for writing such fractions.
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  • Hence the value of a fraction is not altered by substituting for the numerator and denominator the corresponding numbers in any other column of a multiple-table (§ 36).
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  • A fractional number is called a proper fraction or an improper fraction according as the numerator is or is not 3 less than the denominator; and an expression 4 such as 24 is called a mixed number.
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  • denote the unsteadiness of the motion of the flywheel; the denominator S of this fraction is called the steadiness.
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  • The Romans commonly used fractions with denominator 12; these were described as unciae (ounces), being twelfths of the as (pound).
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  • The modern system of placing the numerator above the denominator is due to the Hindus; but the dividing line is a later invention.
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  • To add or subtract fractional numbers, we must reduce them to a common denominator; and similarly, to multiply or divide surds, we must express them as power-numbers with the same index.
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  • and that thence every symbolic product is equal to a rational function of covariants in the form of a fraction whose denominator is a power of f x.
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  • Hence we can treat the fractional numbers which have any one denominator as 0 o constituting a number-series, as shown in the 2 adjoining diagram.
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  • - A fraction (or fractional number), the numerator or denominator of which is a fractional number, is called a complex fraction (or fractional number), to distinguish it from a simple fraction, which is a fraction having integers for numerator and denominator.
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  • By means of the present and the preceding sections the rule given in § 63 can be extended to the statement that a fractional number is equal to the number obtained by multiplying its numerator and its denominator by any fractional number.
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  • a simple fraction with ioo for denominator, can be expressed by writing the two figures of the numerator (or, if there is only one figure, this figure preceded by o) with a dot or " point " before them; thus 76 means 76%, or 17 -6 6 o.
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  • Hindu treatises on arithmetic show the use of fractions, containing a power of io as denominator, as early as the beginning of the 6th century A.D.
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  • If the denominator of the fraction, when it is in its lowest terms, contains any other prime factors than 2 and 5, it cannot be expressed exactly as a decimal; but after a certain point a definite series of figures will constantly recur.
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  • Then the denominator of the fraction, the numerical aperture, must be correspondingly increased, in order to ascertain the real resolving power.
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  • 1 A2B' Where The Denominator Factors Indicate The Forms Themselves, Their Jacobian, The Invariant Of The Quadratic And Their Resultant; Connected, As Shown By The Numerator, By A Syzygy Of Degreesorder (2, 2; 2).
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  • must have a least value, which is moreover positive, since the numerator and denominator are both essentially positive.
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  • Every convergent is a nearer approximation to the value of the whole fraction than any fraction whose denominator is less than that of the convergent.
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  • If we write 74 in the form 47 we may say that the value of a fraction is not altered by multiplying or dividing the numerator and denominator by any number.
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  • Thus to divide by a fractional number we must multiply by the number obtained by interchanging the numerator and the denominator, i.e.
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  • - In order to deal, by way of comparison or addition or subtraction, with fractions which have different denominators, it is necessary to reduce them to a common denominator.
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  • To avoid this difficulty, in practical life, it is usual to confine our operations to fractions which have a certain standard denominator.
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  • The modern method is to deal with fractions which have ioo as denominator; such fractions are called percentages.
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  • - When a fraction cannot be expressed by an integral percentage, it can be so expressed approximately, by taking the nearest integer to the numerator of an equal fraction having ioo for its denominator.
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  • - The percentage-notation can be extended to any fraction which has any power of io for its denominator.
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  • fractions representing aliquot parts (§ 103), and fractions with a definite denominator.
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  • Except in the case of - and 2, the fraction was expressed by the denominator, with a special symbol above it.
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  • The Babylonians expressed numbers less than r by the numerator of a fraction with denominator 60; the numerator only being written.
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  • In the sexagesimal system the numerators of the successive fractions (the denominators of which were the successive powers of 60) were followed by', ", "', ", the denominator not being written.
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  • In the case of fractions of the more general kind, the numerator was written first with ', and then the denominator, followed by ", was written twice.
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  • A different method was used by Diophantus, accents being omitted, and the denominator being written above and to the right of the numerator.
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  • The pth root of a number (§43) may, if the number is an integer, be found by expressing it in terms of its prime factors; or, if it is not an integer, by expressing it as a fraction in its lowest terms, and finding the pth roots of the numerator and of the denominator separately.
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  • b,, Y the numerator (or denominator) of the last preceding term by the corresponding quotient and adding the numerator (or denominator) of the term before that.
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  • (iv) Each convergent is nearer to the true value than any other fraction whose denominator is less than that of the convergent.
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  • common denominator.
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  • In this context, the community became the common denominator.
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  • Adopting flexible benefits can avoid the pressure of a merged company having to take all benefits up to the highest common denominator.
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  • Ask the students if they know what the other common denominator is.
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  • As we all know, Western left thinking sees its minimum common denominator as being against racism and nationalism.
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  • common denominator in terms of users ' knowledge.. .
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  • common denominator of public taste.
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  • The significance of evidence-based nursing interventions, supported by outcome measures, may provide a powerful denominator in promoting change.
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  • Yet somehow there seems to be a common denominator to all the music you have chosen.
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  • Each listed inch fraction has the smallest denominator that keeps the value within the ISO 216 tolerance limits.
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  • denominator data - Government Actuary's Department.
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  • denominator theory of cancer treatment.
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  • denominator degrees of freedom (because F is actually a ratio ).
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  • denominator approach which compile the cheapest work-force consistent with minimum standards.
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  • She counted out lots corresponding to the posited fraction denominator.
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  • denominator ' approach should apply.
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  • denominator of the ratio of two rational numbers, mathematicians found themselves in difficulties.
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  • divisible by each fraction denominator.
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  • Adding and subtracting Before adding or subtracting fractions, they must be transformed so that they all have a common denominator.
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  • fraction denominator.
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  • It will return either fail or a new list [num, den] of canceled numerator and denominator.
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  • A rational is represented as a pair of integers, called numerator and denominator.
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  • The direct method was found not to be robust as it was affected by small numerator and denominator counts in specific age groups.
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  • The peaks arise because the denominator will approach zero at sinusoidal frequencies, resulting in exceedingly sharp spectral peaks.
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  • q s in the denominator by their MLE.
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  • subtract fractions by writing them with a common denominator.
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  • n=7.29907 3155 the denominator of the fraction being the number of seconds in the sidereal year.
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  • In such cases a bracketed fraction is appended to the specific gravity, of which the numerator and denominator are respectively the temperatures of the substance and of the standard; thus 1.093 (0 0 14°) means that the ratio of the weight of a definite volume of a substance at o to the weight of the same volume of water 4° is I 093.
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  • It follows from these equations that the logarithm of the product of any number of quantities is equal to the sum of the logarithms of the quantities, that the logarithm of the quotient of two quantities is equal to the logarithm of the numerator diminished by the logarithm of the denominator, that the logarithm of the rth power of a quantity is equal to r times the logarithm of the quantity, and that the logarithm of the rth root of a quantity is equal to (r/r)th of the logarithm of the quantity.
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  • In refutation of Duchesne(Van der Eycke), he showed that the ratio was 3-, %-, and thence made the exceedingly lucky step of taking a mean between the two by the quite unjustifiable process of halving the sum of the two numerators for a new numerator and halving the sum of the two denominators for a new denominator, thus arriving at the now well-known approximation 3 6 3 - or ??
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  • Thus 2 is equal to -, and a is equal to -16°, and conversely; in other words, any fractional number is equivalent to the fractional number obtained by multiplying or dividing the numerator and denominator by any integer.
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  • This is done by multiplying both numerator and denominator by 7; i.e.
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  • (i) If we precede the series of convergents by i and - 1 6 -, then the numerator (or denominator) of each term of the series o i a, ab?-1 after the first two, is found by multiplying 1, o?
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  • This turns out to be inconvenient, so instead we replace the q s in the denominator by their MLE.
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  • Annual Denominator: The number of quitters planned in the local target for 2002/03.
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  • Add and subtract fractions by writing them with a common denominator.
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  • A common denominator in all chat room environments is the bully or spoiler.
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  • Traditional vows can mean many things, but the common denominator is love, affection and commitment.
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  • Luxury bath towels mean many things to different people, but the one common denominator is high quality.
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  • Another common denominator on all of the ships is Costa's theme of "Cruising Italian Style."
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  • This common denominator enhances cruise ship fellowship and creates a more rewarding experience.
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  • The common denominator is a population sector which is already healthy and wishes to ensure their continued good health.
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  • On the other hand, Acclaim was clearly shooting for the lowest common denominator with their BMXXX extreme sports title.
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  • Children with neurological damage will have a common denominator of prolonged neonatal reflexes.
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  • This tool also lets you control values of the numerator and denominator.
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  • denominator factors, that the complete system of the quadratic is composed of the form itself of degree order I, 2 shown by az 2, and of the Hessian of degree order 2, o shown by a2.
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  • When we know the mass of the earth in gravitational measure, its product by the denominator of the fraction just mentioned gives the mass of the sun in gravitational measure.
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  • Thus the fractions must be reduced to a common denominator.
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  • The attempt to win adherents requires the appeal to the lowest common denominator.
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  • Your main consideration is finding the lowest common denominator of the people who will be viewing the image.
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  • With all of us being involved in turf care we all had a common denominator to start from.
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  • Why do we always have to use the lowest common denominator?
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  • In many cases this has led to the adoption of measures reflecting the lowest common denominator among Member States.
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  • A Europe scaling the heights of ambition; not seeking the lowest common denominator.
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  • common denominator between the two games is the absence of Robert Page and the use of a makeshift defense.
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  • Management is reduced to a least common denominator of housekeeping.
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  • The only common denominator may be a shared locality.
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  • common denominator ' approach should apply.
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  • Descending series of the semi-convergent class, available for numerical calculation when u is moderately large, can be obtained from (12) by writing x=uy, and expanding the denominator in powers of y.
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  • The frequency ratios in the diatonic scale are all expressible either as fractions, with i, 2, 3 or 5 as numerator and denominator, or as products of such fractions; and it may be shown that for a given note the numerator and denominator are smaller than any other numbers which would give us a note in the immediate neighbourhood.
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  • Fraction in its Lowest Terms.-A fraction is said to be in its lowest terms when its numerator and denominator have no common the more correct method is to write it a: b.
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  • Sadly, in the rush for the lowest common denominator, others are unlikely to follow our lead.
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  • If this arrangement is expressed by a fraction, the numerator of which indicates the number of turns, and the denominator the number of internodes in the spiral cycle, the fraction will be found to represent the angle of divergence of the consecutive leaves on the axis.
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  • where the denominator stands for the same homogeneou~ quadratic function of the qs that T is for the is.
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  • For the application of continued fractions to the problem " To find the fraction, whose denominator does not exceed a given integer D, which shall most closely approximate (by excess or defect, as may be assigned) to a given number commensurable or incommensurable," the reader is referred to G.
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  • This denominator must, if the fractions are in their lowest terms (§ 54), be a multiple of each of the denominators; it is usually most convenient that it should be their L.C.M.
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  • Again, for the cubic, we can find A3(z) - -a6z6 1 -az 3.1 -a 2 z 2.1 -a 3 z 3.1 -a4 where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o.
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  • The denominator sin a is the quantity well known (after Abbe) as the " numerical aperture."
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