Few publications are devoted to AKNS systems (1.1), where\(\Sigma \)is a real diagonal matrix with at least one of its diagonal entries vanishing. Among the very few papers devoted to the subject matter is that by Newell [31], where\(\Sigma =\text {diag}(1,0,-1)\). In [31] N...
which is a positive expression. We call this thedegenerate positive representation, denoted by\mathcal {P}^0. From another point of view, formally this can be obtained by setting therealparameter\lambdato certain specialcomplexvalues\lambda _0=\pm \frac{\textbf{i}}{4b}, so that we may co...
the model can be written in the form Ising model on a states: si = +1 or ({si}) = −J∑sis j, i,j where the sum runs over all nearest-neighbour pairs of lattice sites and counts each pair only once, and −J is the energy of a pair of parallel spins...
Determine whether the statement is true or false. If x = k is a zero of a function f, then f(k) = 0. Is the following equality true or false for all non-zero values of the variables? \frac{c\ast (d+e)}{e}=c\ast d (a) True (b) False ...
The intermediate value theorem states that for any continuous function f(x) that is defined on the interval [a,b], for any k in between f(a) and f(b), there exists some c∈(a,b) such that f(c)=k. Answer and Explanation: The function...
We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the cen
removes the strong dependence on the initial guess and the relaxation scheme of the previous method. A rigorous convergence analysis is undertaken with natural assumptions on the players strategies, which admit graph-theoretic interpretations in the context of weakly chained diagonally dominant matrices. ...
Answer to: Write out the first 4 nonzero terms of the Taylor series for f (x) = e^{3 x} centered at c = 0. Then write the series using summation...
When the elastomer is deformed by the force, the strain gauges are deformed as well, resulting in a change in the resistance of the strain gauges. Through the Wheatstone bridge, the external force is changed into an electrical signal. Due to the inherent properties such as hysteresis and ...