Modulus in a sentence

A variation of this proof does not require the use of the maximum modulus principle (in fact, the same argument with minor changes also gives a proof of the maximum modulus principle for holomorphic functions).

The public key consists of the modulus n and the public (or encryption) exponent e. The private key consists of the modulus n and the private (or decryption) exponent d, which must be kept secret.

Young's modulus is independent of the component under investigation; that is, it is an inherent material property (the term modulus refers to an inherent material property).

Having high tensile strength and high elastic modulus, it is used extensively for structural material composites in aerospace & defense, automotive, and sporting goods industries.

In comparison, the hardness of diamond is around 45 GPa, although it has a Young modulus of 1050 GPa, the researchers said.

When compressed, plain tobermorite displayed a low yield strength (or elastic modulus) of about 10 gigapascals (GPa) with a yield strain (the point at which a material deforms) of 7 percent.

According to Professor Gilles Brassard, an expert in quantum computing: "The time needed to factor an RSA integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption.

Acoustic waves Acoustic or sound waves travel at speed given by : or the square root of the adiabatic bulk modulus divided by the ambient fluid density (see speed of sound ).

Americium is relatively soft and easily deformable and has a significantly lower bulk modulus than the actinides before it: Th, Pa, U, Np and Pu.

An example would be the dependence of Young's modulus on the direction of load. citation Anisotropy in polycrystalline materials can also be due to certain texture patterns often produced during manufacturing of the material.

An inelegant program for Euclid's algorithm "Inelegant" is a translation of Knuth's version of the algorithm with a subtraction-based remainder-loop replacing his use of division (or a "modulus" instruction).

A remark on the notation: Because it is common to consider several congruence relations for different moduli at the same time, the modulus is incorporated in the notation.

Arithmetic modulo a prime and finite fields main Modular arithmetic modifies usual arithmetic by only using the numbers : where n is a fixed natural number called modulus.

As with the modulus, the argument can be found from the rectangular form : citation : Normally, as given above, the principal value in the interval (−π,π is chosen.

Both speeds are equal in modulus because the circles roll without skidding.

Correspondingly, its bulk modulus is extremely high, reported between main and main, which rivals that of diamond (main).

Dynamic mechanical analysis or DMA measures this complex modulus by oscillating the load and measuring the resulting strain as a function of time.

Fluids are substances that have zero shear modulus or, in simpler terms, a fluid is a substance which cannot resist any shear force applied to it.

For example, the subprogram in Euclid's algorithm to compute the remainder would execute much faster if the programmer had a " modulus " instruction available rather than just subtraction (or worse: just Minsky's "decrement").

Indeed, simply substituting 2 n for the modulus term reveals that the low order bits go through very short cycles.