Sentence examples for have a solution in general from inspiring English sources
Note that problem (1.3) may not have a solution in general.
Because of the existence of a random element ξ, we cannot generally expect that there exists a vector ((x,y,z)) satisfying (1.1) or (1.2) for almost all (xiinOmega), that is, both (1.1) and (1.2) may not have a solution in general.
It is well known (cf. [21, 25, 27, 37]) that this equation is ill posed, i.e. it does not need to have unique solutions and if it has a solution in general this solution does not depend continuously on the right-hand side.
"We might have a solution in short order".
While the problem of finding a polynomial of two variables with total degree ≤n given the values of the polynomial and some of its derivatives at exactly the same number of points as the dimension of the polynomial space is sometimes impossible, we show that such a problem always has a solution in a very general situation if the degree of the polynomials is sufficiently large.
The fixed point problem (1.6) is ill-posed (it may fail to have a solution, nor uniqueness of solution) in general.
Therefore, in practice, distance and bearing measurements will never be exact, and the equations whose solutions deliver sensor positions in the noiseless case in general no longer have a solution.
