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integers

noun

1. Plural form of mathematics.

2. The smallest ring containing the natural numbers; the set.

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gentries

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Integers Sentence Examples

(iv.) If P and Q can be expressed in the forms pL and qL, where p and q are integers, R will be equal to (p-kq)L, which is both less than pL and less than qL.0 | 0 |
Similarly, the other rational integers must be distinguished from the corresponding cardinals.0 | 0 |
If we take aq-bp= +1 we have a general solution in integers of ax+by=c, viz.0 | 0 |
Taking any number n to be represented by a point on a line at distance nL from a fixed point 0, where L is a unit of length, we start with a series of points representing the integers I, 2, 3,.0 | 0 |
Do not involve x, and the indices of the powers of x are all positive integers, is called a rational integral function of x of degree n.0 | 0 |
Decimal or Briggian Antilogarithms. - In the ordinary tables of logarithms the natural numbers are all integers, while the logarithms tabulated are incommensurable.0 | 0 |
The point separating the integers from the decimal fractions seems to be the invention of Bartholomaeus Pitiscus, in whose trigonometrical tables (1612) it occurs and it was accepted by John Napier in his logarithmic papers (1614 and 1619).0 | 0 |
Are all positive integers, is called a simple continued f raction.0 | 0 |
Lagrange used simple continued fractions to approximate to the solutions of numerical equations; thus, if an equation has a root between two integers a and a+1, put x=a+I/y and form the equation in y; if the equation in y has a root between b and b+i, put y = b + I /z, and so on.0 | 0 |
The solution in integers of the indeterminate equation ax+by=c may be effected by means of continued fractions.0 | 0 |
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