Sentence examples for bounded by a constant from inspiring English sources

The classical Trudinger Moser inequality says that for functions with Dirichlet norm smaller or equal to 1 in the Sobolev space H10 (with Ω⊂R2 a bounded domain), the integral ∫Ωe4πu2dx is uniformly bounded by a constant depending only on Ω.

Since the number of such 3D cones is bounded by a constant k, all of them can bound the node out-degree by k.

Note that (widehat {xi }) is (mathbb {R}^{n} -valued, (mathbb {R}^{n} -valuede and uniformathbbunded by a constant depending only on (underline {a},overline {a},Lambda,Upsilon ), and the uniF} -predictable.

Therefore, is bounded by a constant for sufficiently large.

For small k (bounded by a constant), our algorithm is linear time.

has a solution such that is bounded by a constant, when is big enough.

(in which, with, fixed) are bounded by a constant which is independent of and.

We show is bounded by a constant that depends only on the constants, and.

Now, we show that the previous second term above is also bounded by a constant multiple of (3.4).

We first prove that the first term in previous equality is bounded by a constant multiple of.

3 We require that the least common multiples of all transit values are bounded by a constant K.