Sentence examples for by the same constant from inspiring English sources
An operator T is said to be uniformly partially bounded if all chains (T(mathcal{C})) in E are bounded by the same constant.
The effect of interface states is to shift the potential within the sampled region on both sides of the interface by the same constant value.
We decided to maintain the proportion between the previously established values (multi-hop version), so we multiplied them by the same constant when increasing them.
This is the eigenvector which is associated with the largest eigenvalue (that is equal to one).3Since this eigenvector is a vector composed by the same constant, it is not informative.
Theorem 2.2 All the trajectories of the equation (3) are ultimately bounded by the same constant R (see the proof) if I ≡ max t ∈ R + ∥ I ext ( t ) ∥ F < ∞.
An equivalent numerical representation can be obtained by multiplying the numerical represented value of each of the four bases [C, G, A, T] of a nucleotide sequence by the same constant which includes any of -1, and ± j.
For a linear model, if u is multiplied by any constant factor, the output v will be scaled by exactly the same constant as (53) β v = H (β u ).
Consideration of continuity of deflection and of slope and compatibility of bending moment and shearing force at the first step enabled the mode shape of the second portion to be expressed as the superposition of two functions but multiplied by the same constants as in the first portion.
Let us consider now a discrete system, formed by infinite point-like masses,, spaced a distance, and connected by strings of the same constant.
This resonator supports standing TEM waves, so its electric and magnetic fields are identical to those produced by a stationary planar current source with the same (constant) cross-section multiplied by a complex exponential propagation factor.
Further we assume that the birth to the susceptible and the loss of population by death are introduced through the same constant rate μ, therefore a constant population size.
