Sentence examples for define addition from inspiring English sources

In this paper, we define addition and multiplication of points on the line O U = [ 0, 1, 0 ] geometrically, also we give the algebraic correspondences of them.

Let G denote the collection of all equivalence classes of S × S. On G define addition and scalar multiplication as follows: 〈 a, b 〉 + 〈 c, d 〉 = 〈 a + c, b + d 〉. and λ 〈 a, b 〉 = { 〈 λ a, λ b 〉, λ ≥ 0, 〈 − λ a, − λ b 〉, otherwise.

To prove the usual properties of addition, one must first define addition for the context in question.

Chemical methylation is studied in the area of organic chemistry, where the term alkylation is used to define the addition of a −CH3 group.

In this paper we define an addition operation on the class of quasi-concave functions.

Define the addition function, \(P x,y)\), as follows: (Note that this fits into the definition of primitive recursion because the function \(g(x_{1},x_{2},x_{3}) = \eta(\sigma(x_{1}))\) is definable from the initial functions \(\eta\) and \(\sigma\) by composition).

Let (mathcal{P}_{K}(mathbb{R}^{n})) denote the family of all nonempty compact convex subsets of (mathbb{R}^{n}) and define the addition and scalar multiplication in (mathcal {P}_{K}(mathbb{R}^{n})) as usual.

By (P_{K}(mathbb{R})) we denote the family of all nonempty, compact, and convex subsets of ℝ and define the addition and scalar multiplication in (P_{K}(mathbb{R})) as usual.

We used the concentration response curves for AChE inhibition by individual chemicals to statistically define concentration addition (i.e., no interaction within a mixture).

We set (3) where we define, in addition to (2), (4) Here, σ(p u) a, vb) is the score for the combined losses on the path from p u) to a with the loss of edge vb.

A field extension over the rationals can be thought of as a vector space over (by defining vector addition as field addition, defining scalar multiplication as field multiplication by elements of, and otherwise ignoring the field multiplication).