Sentence examples for operations of addition from inspiring English sources

In order to avoid such a simplification, we incorporated the additional operations of addition and subtraction in the definition of the message transformation functions as shown above.

If f i is simply defined as modular exponentiation, e.g., as the decryption operation in the public key cryptography, without any additional operations of addition and subtraction, then the multiple encryption required to evaluate F m (x) can be simplified into a single exponentiation by Euler's theorem [20].

Furthermore, the laws of operations of addition and multiplication can be extended to apply to differences.

The simplest example of a ring is the collection of integers (…, −3, −2, −1, 0, 1, 2, 3, …) together with the ordinary operations of addition and multiplication.

Moreover, these operations are the basic arithmetic operations of addition, subtraction, multiplication, and division, together with comparison operations such as determining whether x > y is true or false.

Commutative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba.

The complexity is calculated in terms of the number of needed basic operations of additions and multiplications to generate one output block.

From the definition of counting it is evident that the order of the summands can be changed and the order of the operation of addition can be changed, when applied to three summands, without affecting the sum.

(Example: it's metaphysically necessary that the operation of addition instantiates the property of being associative).

Moreover, the end-to-end concatenation of rigid rods shares structural features such as associativity and commutativity with the mathematical operation of addition.

Let (S^{1} =mathbf{R}/mathbf{Z}) with clearly defined orientation, metric, Lebesgue measure and the operation of addition be the unit circle.