Sentence examples for be the arbitrary positive from inspiring English sources

Let ε > 0 be the arbitrary positive real number and t1, t2 ∈ [0, b], t1 > t2.

Since the spectral dimension of the operator under consideration can be an arbitrary positive number, the model allows a continuous phase transition from recurrent to transient underlying Markov process.

Further, the generalized closed form solutions of TSG are obtained from a more general linearized engagement model, where the speed of the vehicle can be an arbitrary positive function of time.

Theorem 8 Let k ≥ 3 be an arbitrary positive odd integer and let h = τ / k be the corresponding stepsize.

According to Theorem 1, can be an arbitrary positive value theoretically and we set or for the following experiments.

Let r be an arbitrary positive number.

Let be an arbitrary positive integer.

Let T be an arbitrary positive number.

Let μ be an arbitrary positive number.

Let ξ be an arbitrary positive number.

Let ε be an arbitrary positive constant.