Sentence examples for sums of three from inspiring English sources

The noise variance sums of three short dipoles or small loops are represented by (boldsymbol {R}_{bn}langle {m,n}rangle =frac {1}{3}boldsymbol {t}boldsymbol {R}_{n}langle {m,n}rangle boldsymbol {t}^{triangleleft }in {mathbb {R}}), in which their covariance items are canceled out.   2.

For ( 3, 3 ), the module X must be a strongly regular module, thus, there are three different kinds: direct sums of three pairwise non-isomorphic indecomposable modules of length 2, direct sums of an indecomposable module M of length 4 and an indecomposable module M ′ of length 2 such that Hom ( M, M ′ ) = 0, and finally indecomposable modules of length 6.

The paper of R. T. Bumby focuses on "elementary" fast algorithms in sums of two and four squares.

Fits of distributions to sums of two Gaussian functions are shown in blue (R 2 = 0.92).

And yet it has a sum total of zero nominations.

Neither does the sum of three squares, x2 + y2 + z2.

The objective function of such optimization problems is the sum of three convex functions.

The electron molecule interaction is treated as a sum of three terms: electrostatic, exchange, and polarization.

The phase of is the sum of three RVs.

3 comp means the sum of three components.

Only then did she reach the target sum of three shillings and six pence.