Sentence examples for be a fixed positive from inspiring English sources

Let p be a fixed prime and r be a fixed positive integer.

Let p be a fixed prime and k be a fixed positive integer.

Let k⩾3 be a fixed positive integer and (G, D) be a pair, where D is a 2− v, k, 1) design and G is a group of automorphisms of D such that G is solvable and block-transitive on D. If v> k3/4+1)ϕ(k(k−1)), then v is a power of a prime number p and G is flag-transitive or G⩽AΓL 1, v).

Let be a fixed positive odd integer.

Let N be a fixed positive integer.

Let r be a fixed positive number.

From now on, we suppose that k ∈ N is a fixed positive integer and m ′ = 3 k + 2. Also, we assume that n ≥ 3 is a fixed positive integer.

We establish the existence of infinitely many pairs of consecutive primes pn, pn+1 satisfyingpn+1−pn≥clogpnlog2pnlog4pnlog3pn, with c being a fixed positive constant, for which the interval (pn,pn+1) contains the k-th power of a prime number.

where a1 is a fixed positive constant and cis a generic positive constant.

where 2 < j is a fixed positive integer number and A, B: ℕ → ℝm × mare p periodic sequences, p > j.

For simplicity, we choose c 2 / c 1 = τ 2 / τ 1 = κ, where κ is a fixed positive constant.