अंकगणक इसके अंग्रेजी अर्थ का उदाहरण

The polynomials occurring in the numerator and denominator are essentially the characteristic polynomials of the map induced by f on the various homology spaces.

This claim appears to refer to Fibonacci's compound fraction notation in which a sequence of numerators and denominators sharing the same fraction bar represents an ascending continued fraction:.

If such a notation has all numerators 0 or 1, as occurs in several instances in Liber Abaci, the result is an Engel expansion.

Therefore, at each step, the numerator in the remaining fraction ui decreases and the process of constructing the Engel expansion must terminate in a finite number of steps.

The American University in Cairo In modular arithmetic, Thue's lemma roughly states that every modular integer may be represented by a "modular fraction" such that the numerator and the denominator have absolute values not greater than the square root of the modulus.

This result is the basis for rational reconstruction, which allows using modular arithmetic for computing rational numbers for which one knows bounds for numerators and denominators.

The complete weight enumerator of the extended ternary Golay code is.

This value is the biggest possible numerator for the relative error.

The 1+a in the denominator is negligible compared to the numerator, so it is left off for expediency, and just b^{-(p-1)}/2 is taken as machine epsilon.

It is for reasons of uniqueness that the zero-order term at the denominator of R(x) was chosen to be 1, otherwise the numerator and denominator of R(x) would have been unique only up to multiplication by a constant.

Definition #1, for example, does NOT include partially completed surveys in the numerator, while definition #2 does.

In that census, the ethnic features were obtained by direct observation of the people registered by the enumerator, without any questions asked.

In our usual fraction notation, to add 2/3 + 4/5 requires finding a common denominator, multiplying each numerator by the new factors in this common denominator, then adding the numerators, then dividing the numerator and denominator by any factors they have in common.