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numerator

numerator

numerator Sentence Examples

  • must have a least value, which is moreover positive, since the numerator and denominator are both essentially positive.

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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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  • If the numerator is a multiple of 5, the fraction represents twentieths.

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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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  • is less than 2 o o If the numerator of the fraction consists of an integer and 4 - e.g.

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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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  • - 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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  • 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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  • 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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  • 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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  • We Have Then (26 1 30 (N 6)) R But The Numerator 3 Of This Fraction Becomes By Reduction I I N 40 Or 1 I N To (The 30 Being Rejected, As The Remainder Only Is Sought) =N Io(N I); Therefore, Ultimately, Must Be Deducted From J.

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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • with the numerator unity: in order to express such an idea as ~ the Egyptians were obliged to reduce it to a series of primary fractions through double fractions 1~+~1rt~r+1~w+ 1~ 4(1+

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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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  • - 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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  • 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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  • 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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  • 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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  • For multiplication by a proper fraction or a decimal, it is sometimes convenient, especially when we are dealing with mixed quantities, to convert the multiplier into the sum or difference of a number of fractions, each of which has i as its numerator.

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  • If we make large enough to expand the numerator using the binomial theorem (so that behaves as ), then as.

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  • Rule 3: Zero in the numerator of a fraction A numerator of a fraction A numerator is allowed to take on the value of zero in a fraction.

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  • numerator of this ratio, that is the number of older people, rising.

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  • numerator of this indicator.

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  • That day should also be counted as an overseas workday increasing the numerator by 1 to 56.

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  • It will return either fail or a new list [num, den] of canceled numerator and denominator.

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  • Dividing by a null value returns the numerator, thus here a null behaves like one.

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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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  • numerator data - Number of missing teeth in the survey sample of children in the respective academic year.

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  • numerator degrees of freedom are given first.

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  • Data Year 2002/03 construction numerator: Number of first outpatient appointments for which the patient did not attend.

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  • Making the substitution in any symbolic product the only determinant factors that present themselves in the numerator are of the form (af), (bf), (cf),...and every symbol a finally appears in the form.

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  • Further, the numerator factor establishes that these are not all algebraically independent,, but are connected by a syzygy of degree order 6, 6.

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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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  • It is usual to write this as a fraction, inverting the order of the factors in the numerator.

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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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  • 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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  • 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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  • We Have Then (26 1 30 (N 6)) R But The Numerator 3 Of This Fraction Becomes By Reduction I I N 40 Or 1 I N To (The 30 Being Rejected, As The Remainder Only Is Sought) =N Io(N I); Therefore, Ultimately, Must Be Deducted From J.

    0
    0
  • 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.

    0
    0
  • with the numerator unity: in order to express such an idea as ~ the Egyptians were obliged to reduce it to a series of primary fractions through double fractions 1~+~1rt~r+1~w+ 1~ 4(1+

    0
    0
  • must have a least value, which is moreover positive, since the numerator and denominator are both essentially positive.

    0
    0
  • 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).

    0
    0
  • 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.

    0
    0
  • 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.

    0
    0
  • 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.

    0
    0
  • 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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  • - 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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  • This is done by multiplying both numerator and denominator by 7; i.e.

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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.

    0
    0
  • 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.

    0
    0
  • They only apply accurately to divisions by 2, 4, 5, 10, 20, 25 or 50; but they have the convenience of fitting in with the denary scale of notation, and they can be extended to other divisions by using a mixed number as numerator.

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    0
  • If the numerator is a multiple of 5, the fraction represents twentieths.

    0
    0
  • 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.

    0
    0
  • is less than 2 o o If the numerator of the fraction consists of an integer and 4 - e.g.

    0
    0
  • The Babylonians expressed numbers less than r by the numerator of a fraction with denominator 60; the numerator only being written.

    0
    0
  • 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.

    0
    0
  • A different method was used by Diophantus, accents being omitted, and the denominator being written above and to the right of the numerator.

    0
    0
  • The modern system of placing the numerator above the denominator is due to the Hindus; but the dividing line is a later invention.

    0
    0
  • For multiplication by a proper fraction or a decimal, it is sometimes convenient, especially when we are dealing with mixed quantities, to convert the multiplier into the sum or difference of a number of fractions, each of which has i as its numerator.

    0
    0
  • (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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  • 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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  • This tool also lets you control values of the numerator and denominator.

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  • It is usual to write this as a fraction, inverting the order of the factors in the numerator.

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  • They only apply accurately to divisions by 2, 4, 5, 10, 20, 25 or 50; but they have the convenience of fitting in with the denary scale of notation, and they can be extended to other divisions by using a mixed number as numerator.

    0
    1
  • A different method was used by Diophantus, accents being omitted, and the denominator being written above and to the right of the numerator.

    0
    1
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