Sentence examples similar to a following sum from inspiring English sources

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Now we first consider the following sum operator equations: A x + B x = x, (2.1) A x + B x = λ x, λ > 0. (2.2).

Next, we consider the following sum operator equations: A x + B ( x, x ) = x, (2.6) A x + B ( x, x ) = λ x, λ > 0. (2.7).

We exploit the fact that not only does B decompose into the sum B = ∑ k = 1 m B k, but in the case of a first-order reaction process, B B ⊺ also decomposes into the following sum: B B ⊺ = ∑ k = 1 m B k B k ⊺, (107).

Then, the following sum yields the total aggregate score (1) The average score a is defined as (2) The Schuemie corpus consists of 16 journals; the MeSH-MI corpus contains 18, the MeSH-Med corpus 15 journals (Appendix 3, see Table 3).

Consider the following sum of triple integrals.

But what about the following sum: 1 − 1 + 1 − 1 + 1 − … .

We denote the following sum with SSX: SSX = ∑ t = 1 n y ( t ) 2, (19).

Convolution of finite signal and can be expressed as the following sum: (14).

Formally, we want to maximize the following sum: sum_{(x, y) in mathcal{T}} p y|x, theta).

Second, we compute the energy for each event i using the following sum of squared formula: e i = ∑ M ′ y 2 (10).

We first introduce the following sum theorems for the mixed volumes and the mixed area measure of convex bodies (see [16], p.280).

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