Sentence examples for multiplicative properties from inspiring English sources

"It's a very basic restriction on how multiplicative properties of numbers can interact with addition," Dr. Kim said about the abc conjecture.

The family of processes satisfies multiplicative properties: (38).

Since TB functions are actually cosine functions, we can use the additive and multiplicative properties of cosine functions for TB functions in a similar fashion.

We conclude the section by presenting five additional multiplicative properties of Leavitt path algebras: primeness; the center; Gelfand Kirillov dimension; wreath products; and the simplicity of the corresponding bracket Lie algebra.

Then, for any non-primitive character χ mod q, we have the identity ∑ a = 1 q χ ( a ) e ( a q ) = 0. Proof It is clear that from the multiplicative properties of Gauss sums we know that we only need to prove q = p α, a power of prime, where α ≥ 2. Suppose that χ is a non-primitive character mod p α, then χ must be a character mod p α − 1.

In particular, we are interested in the use of column interleavers that are able to preserve the multiplicative property.

In the proof of the superstability of the exponential functional equation, the multiplicative property of the norm was the necessary condition.

The existence of the second quantisation as functor Γt from Hilbert spaces to noncommutative probability spaces is investigated for functions t with the multiplicative property.

And we show that the stability of ∗-derivations and ∗-quadratic derivations on Banach ∗-algebras without the multiplicative property of the norm are superstable by using the fixed point theorem.

Memon and Wong [8] apply multiplicative property of RSA scheme [17] to embed the fingerprint, and Pfitzmann and Sadeghi [5, 6] exploit bit commitment schemes based on the quadratic residues [18].

This study explores a multiplicative property to obtain the minimum cost of various multisource ALM routing protocols by simply multiplying the number of sources to the minimum cost in the single-source multicast.