Numerator Sentence Examples
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.
If the numerator is a multiple of 5, the fraction represents twentieths.
This is done by multiplying both numerator and denominator by 7; i.e.
This tool also lets you control values of the numerator and denominator.
A rational is represented as a pair of integers, called numerator and denominator.Advertisement
Further, the numerator factor establishes that these are not all algebraically independent,, but are connected by a syzygy of degree order 6, 6.
If we make large enough to expand the numerator using the binomial theorem (so that behaves as ), then as.
That day should also be counted as an overseas workday increasing the numerator by 1 to 56.
It will return either fail or a new list [num, den] of canceled numerator and denominator.
Dividing by a null value returns the numerator, thus here a null behaves like one.Advertisement
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.
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.
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 ??
It is usual to write this as a fraction, inverting the order of the factors in the numerator.
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.Advertisement
A different method was used by Diophantus, accents being omitted, and the denominator being written above and to the right of the numerator.
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.
The direct method was found not to be robust as it was affected by small numerator and denominator counts in specific age groups.
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.
Thus to divide by a fractional number we must multiply by the number obtained by interchanging the numerator and the denominator, i.e.Advertisement
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.
The Babylonians expressed numbers less than r by the numerator of a fraction with denominator 60; the numerator only being written.
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.
The modern system of placing the numerator above the denominator is due to the Hindus; but the dividing line is a later invention.
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.Advertisement
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).
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.
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.