Sentence examples for modulus operator from inspiring English sources

It turns out that a GeoJSON containing nothing but lat/long pairs for 500,000 points is still 70 MB, much too large for use with Leaflet, so I used the modulus operator to select every 50th pickup location, resulting in about 10,000 points in 1.2 MB.

The modulus operator "mod" in (3) and (5) restarts the back-off counter after back-offs.

where | ⋅ | stands for the modulus operator, and τ is a small nonnegative parameter.

where is the modulus operator and denotes the complex conjugate transpose operator.

where the modulus operator is assumed to be applied element wise and the function returns the mean of a vector.

can be seen as receive power loading where the modulus operator | · | is assumed to be applied element-wise and the mean function returns the mean of a vector.

Indeed, in (7) the phases are removed by the modulus operators before the cross-product is taken, but in (6) the modulus is taken after calculating of the cross-product.

We prove in this paper that if f is a nondecreasing continuous function on R that vanishes on (−∞,0] and is concave on [0,∞), then its operator modulus of continuity Ωf admits the estimateΩf⩽const∞∫ef δt dtt2logt,δ>0. We also study the problem of sharpness of estimates obtained in Aleksandrov and Peller (2010) [2], [3].

It is easy to see from the above lemmas that the orthogonal projection operators are monotone, co-coercive with modulus 1, and the operator (I-P_{Q}) is also co-coercive with modulus 1.

Using the linear modulus of a regular operator, we extend the "zero-two" law for positive contractions of Lp-spaces, 1 < p < + ∞, p ≠ 2. The proof uses the approximate point spectrum of positive contractions and a procedure obtained by Foguel.

Also, we estimate the rate of pointwise convergence of the proposed operators by modulus of continuity.