Sentence examples for is some fixed from inspiring English sources
where ρ ˜ is some fixed positive constant.
On the simple version, there is some fixed threshold of awfulness beyond which morality's categorical norms no longer have their overriding force.
Then the following inequality holds: ∥ x + y ∥ q ≤ ∥ x ∥ q + q 〈 y, J q x 〉 + D ∥ y ∥ q, ∀ x, y ∈ E, where D is some fixed positive constant.
Here: E(C) denotes firm/project's expected cashflow in a given duration, CFaR denotes cashflow at risk (in dollar amount), p. is some fixed probability.
The 〈 x, y, z 〉 is some fixed coordinate system based on scattering me chanisms and 〈 d1, d2, d3 〉 is the learned coordinate system based on KSVD and Kernel KSVD algorithm.
Similar to [26], node i only decodes and retransmits a BFSK signal if θ 0, i > θ r th, where θ r th is some fixed threshold value to be determined.
end{aligned}Hence let (alpha ) be some fixed root in (Delta _0^+ psi )).
The performance of an L-estimator depends on its weights which are some fixed coefficients.
Let P∼UARS S,κ) and let V be some fixed vector.
The function (u^(s)=min(max (s,a),b)) is Lipschitz continuous in s, where (a< b) are some fixed positive constants.
Lemma 2. Suppose that l, n and m are some fixed positive integers.
