Nowadays, when two or more nations amalgamate their economic, political, and social systems they necessarily take the lowest common denominator of freedom rather than the highest.
The 13 American states, in forming a federal union, did not take the lowest common denominator of freedom; they took the highest, and elevated that.
The fractional value of the wisest shows a small numerator divided by an infinite denominator of knowledge.
P is not a mere average, but is a weighted average, and T is always the denominator in the formula for P.
This subjectivistic psychology would, of course, make it equally impossible to fund labor-pains of different laborers, or to get any common denominator at all.
P is defined as a fraction, the denominator of which is T.
He proposes, instead, the term, "common denominator of value.
The common denominator behind them was not the authority of the President, the discipline of the Democratic Party, or the casually designed, casually overlooked formal lines of authority.
Take this lowest-common-denominator of a man who can be reached by enemy propaganda and by yours.
Nocard and others have demonstrated the fact that the Bacillus tuberculosis of Koch is the common denominator in all tubercular disease, whatever and wherever its manifestations, in all animals.
When counting colonies in a Petri's dish it is sufficient to divide the circle into eight equal divisions, and counting the colonies in the average divisions, multiply and reduce to the common denominator of one cc.
It is an artificial common denominator for the regulation of wages and prices which perhaps may be attained under the capitalist system, but which ultimately points to a socialistic commonwealth.
Corresponding to any simple root of the denominatorthere is a logarithmic term in the integral.
If any of the roots of the denominator are repeated there are rational algebraic terms in the integral.
The calculation of the condition of equilibrium can be made, with sufficient accuracy for our purpose, as follows: The denominator 0.
Any two fractions will do if the denominator equals the sum of the two numerators.
Thus, in the case of 96 + 4, one can say at once that if any answers are obtainable, then the roots of both the numerator and the denominator of the fraction will be 6.
The denominator must always be a prime number of the form 6n + 1, or composed of such primes.
At the same time dS may be identified with dxdy, and in the denominator [rho] may be treated as constant and equal to f.
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.
It is, however, only apparently a denominator of value; the shilling represents five fourths of ten cents.
But its functions as a common denominator of values and as a standard of deferred payment are increasingly important in an advancing society.
Some consider this service as a common denominator to be the primary and most important function of money.
Out of its use as a medium of exchange comes the use of money as a common denominator of values.
It was concerned rather with the virtual appeal to a common denominator involved in bringing different ideas into relation with one another.
It does away with the ontological gulf between ideas and facts, and by reducing both terms to a common denominator seems to facilitate fruitful discussion of the problem.
Being a universal common denominator of all theories, it cancels out of all of them alike.
The general rule of thinking of fractions as their equivalents with some convenient denominator should come as an organization and extension of such special habits, not as an edict from the textbook or teacher.
The next step (11) is to understand to some extent the principle that the value of any of these fractions is unaltered by multiplying or dividing the numerator and denominator by the same number.
The terms numerator and denominator are connected with the upper and lower numbers composing a fraction.
So, we have this general rule: To find out how many miles one inch on the map represents on the ground, divide the denominator of the R.
The numerator usually refers to the vertical distance, and the denominator to the horizontal distance.
What have we done with the numerator anddenominator in every case?
If we multiply both the numerator and the denominatorof the fraction 3/5 by 6, what will be the effect upon the value of the fraction?
To exemplify an inductive lesson, there may be noted the process of learning the rule that to multiply the numerator and denominator of any fraction by the same number does not alter the value of the fraction.
Multiplying the numerator and denominator by the same number does not alter the value of the fraction.
A different method was used by Diophantus, accents being omitted, and the denominator being written above and to the right of the numerator.
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.
A fraction is said to be in its lowest terms when its numerator and denominator have no common factor; or to be reduced to its lowest terms when it is replaced by such a fraction.
This is done by multiplying both numerator and denominator by 7; i.
By means of the present and the preceding sections the rule given in S 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.
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 (S 36).
Each convergent is nearer to the true value than any other fraction whose denominator is less than that of the convergent.
Hence, so long as the denominator remains unaltered, we can deal with performed on the numerators.
This denominator must, if the fractions are in their lowest terms (S 54), be a multiple of each of the denominators; it is usually most convenient that it should be their L.
The modern system of placing the numerator above the denominator is due to the Hindus; but the dividing line is a later invention.
Hence we can treat the fractional numbers which have any one denominator as constituting a number-series, as shown in the adjoining diagram.
Hence, the numerator of a fractional exponent indicates the power, the denominator indicates the root.
The producer himself is entitled to only that portion of his product, which is expressed by a fraction whose denominator is equal to the number of individuals of which society is composed.
But the trouble is that in human affairs as you multiply your numerator you unconsciously multiply your denominator at the same time, and you get nowhere.
The denominator is What We Think We Ought to Have.
Now, since all powers of 10 can only contain factors of the powers of 2 and 5, it clearly follows that your decimal never will come to an end if any other factor than these occurs in the denominator of your vulgar fraction.
Therefore, since the 0 and 7 at the ends of the ribbon may not be removed, we must seek a fraction with a prime denominator ending in 7 that gives a full period circulator.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "denominator" in a variety of sentences. We hope that you will now be able to make sentences using this word. Other words: argument; element; equation; formula; trait
