Sentence examples for set of real values from inspiring English sources
Usually, a value function J : S → ℝ is a mapping from the state space to the set of real values.
In this case, the SET of real values in the "partition_values" field of each record is multiplied by a constant value and the "node_id" field remains the same.
The method assumes a finite set of real values of the Laplace transform and chooses the analytical form of the approximant maximizing Shannon-entropy, so that positivity of the approximant itself is guaranteed.
Similar to z(h), the complex function m h (h) is an analytic function for all h ∈ C except at the set of real values 0, − 1 λ 1, …, − 1 λ q and the points where z(h) = 0.
Using the fundamental properties of the gamma function, we advance from the domain of the natural values analytically to the set of real values for which we form the conditions for both its graphical interpretation and a more concise mathematical analysis.
Simulation results are presented in Section 5. Finally, we conclude the paper with Section 6. Notations: Throughout this paper, C l, H l and denotes the set of l-dimensional complex vectors, the set of l-dimensional complex Hermitian matrices and the set of real values, respectively.
Denote by (mathcal{E}) the set of real valued step functions on ([0,T]) and let (mathcal{H}) be the Hilbert space defined as the closure of (mathcal{E}) with respect to the scalar product langlemathbf{1}_{[0,s]}rangle_{mathcal{]}rangle_{matH}al{H}=RR _{H} t,s), where (R_{H}) is the covariance function of the fBm, given in (1).
We denote by V and (mathbbm {P}), the sets of real valued variables and parameters, respectively.
The Orlicz class (K_{M}(Omega)) (resp. the Orlicz space (L_{M}(Omega))) is defined as the set of (equivalence classes of) real valued measurable functions u on Ω such that int_{Omega}M bigl u(x) bigr),dx< +infty quad biggl( mbox{resp. } int_{Omega}M biggl(frac{u(x)}{lambda} biggr),dx< + infty mbox{ for some }lambda>0 biggr).
The normative data set is extensive and of real value for future analysis in this important genetic system.
we will say μ is a characteristic value of T if there exists v ∈ E, v ≠ 0, such that v = μTv, i.e., μ-1 is a nonzero eigenvalue of T. Let r(T) denote the set of real characteristic values of T and Γ denote the closure of the set of nontrivial solutions of (2.1).
