Sentence examples for linear superposition of two from inspiring English sources

However, the traditional theory for these two effects applies a linear superposition of two independent correction models, which differs somewhat from their coupled effect at low frequencies.

For a crack impinging upon a bimaterial interface at an angle, the singular stress field is a linear superposition of two modes, usually of unequal exponents, either a pair of complex conjugates, or two unequal real numbers.

First, the trajectory, r j, and velocity, v j, of an ion in a linear Paul trap, driven at rf frequency Ω, can be expanded as a linear superposition of two orthogonal Mathieu functions c(a j,q j ;τ) and s(a j,q j ;τ) with coefficients A j and B j, begin{aligned} r_{j} tau) &= A_{j}~c_{j} tau) + B_{j}~ s_{j} tau) v_{j} tau) &= A_{j} ~ dot{c}_{j} tau) + B_{j} ~ dot{s}_{j} tau) end{aligned} (1).

Based on flow cytometry data, we establish that the distribution of GFP levels in the mycobacterial population at any point of time is a linear superposition of two invariant distributions, one Gaussian and the other lognormal, with only the coefficients in the linear combination depending on time.

According to this model, the underwater image can be represented as the linear superposition of three components (see Figure 1).

In this respect, a physically relevant example is provided by the so-called Schrödinger cat states, that is by linear superpositions of two coherent states [4].

The resulting force field is the linear superposition of the two force components.

A linear superposition of these two anti-traveling waves produces the standing wave: begin{array}{*{20}l} delta B_{z}&=-2 B_{1} cos kx) sin ka-omega_{rf} t), end{array} (6a).

The thermodynamics integration method [ 77] requires two states to determine the free energy: an unbound state I and a bound state J. From them, a parametric potential is defined as a linear superposition of the two potentials: (79) U r N ; λ = 1 − λ U I r N + λ U J r N. A corresponding parametric partition function is also defined as follows: (80) Z N, V, T ; λ = ∫ d r N exp ⁡ − β U r N ; λ.

Therefore, the state of neuron i at current time t is given by a linear superposition of the two main previously mentioned contributions, (3) x i (t ) = ∑ t i k ∈ Φ i Ψ i (t - t i k ) + ∑ j ∈ Ψ i ∑ t j k ∈ Φ j w i j ε i j t - t j k The models described by (1 - 3) are referred to as SRMs [ 22].

In this system, the magnetic field was generated by the linear superposition of individual fields from eight coils carrying different currents.