Sentence examples for therefore denoting from inspiring English sources

By hypothesis of Lemma 3.1 α > 0. Therefore, denoting this sum by s, we have.

Therefore, denoting the BS-matrices of a, b, and c by A, B and C, respectively, we have (mathbf{A}mathbf{B}=mathbf {C}).

Therefore, denoting N 1 = def α 1 N, N 2 = def α 2 N, the above sum can be rewritten as E RD = M α 1 α 2 ( α 1 2 + α 2 2 ) 48 NT p ( RD ).

We remark that in the following, when not crucial, the 'center' of the cylinder will be often unspecified, e.g., Q ρ ( z 0 ) = Q ρ ; the same convention will be adopted for balls in R n therefore denoting B ( x 0, ρ ) = B ρ ( x 0 ).

Therefore, denoting by F this set, we have begin{aligned} D(F) le 2 D widetilde{E}) le 2^n D(E quad text {and}quad alpha (E) le C_0^{n-1} alpha (widetilde{E}) le 3 C_0^{n-1}alpha (F).

Sensitivity was the percentage of babies with a diagnosis/procedure identified in NICUS for whom the same diagnosis/procedure was reported on the hospital discharge data, therefore denoting the completeness of identification by hospital discharge data.

They are therefore denoted as even operators for short.

A sentence such as '22 = 4' therefore denotes the truth-value The True, while the sentence '22 = 6' denotes The False.

The adsorption starts at about the same temperature for all surface structures, therefore denoted as the adsorption temperature.

The region 0 > h >h′ therefore denotes the diffuse triple junction interface between the three phases.

Such individual conditional probabilities are fragments of a complete CPD and are therefore denoted in lowercase.