So a natural problem of the existence of unbounded signed measures arises.
Efforts to explain the ways of God to humans, particularly in respect to the problem of the existence of evil, are called theodicy.
The problem of the existence of large sets of Kirkman triple systems (LKTS) is one of the most celebrated open problems in design theory.
Sylvester's problem, i.e., the problem of the existence of large sets of Kirkman triple systems (LKTSs), is one of the most challenging problems in combinatorial design theory.
It has already been shown that one electron can contribute to bonding if it occupies a bonding orbital; therefore the problem of the existence of one-electron species is resolved.
In fact, in the previous studies, this technique has given eigenvalue problems for non-symmetric matrices for which the problem of the existence of complex eigenvalues arises.
Applications to the problem of the existence of positive solutions for the semilinear elliptic equation −Δu = σ(x) uq + w(x) (1 < q < ∈) on Rn are given.
We investigate the problem of the existence of a noncompact operator T:X0⊆X→Y in terms of the asymptotic structure of separable Banach spaces X and Y.
The problem of the existence of total nothingness, or "the void" (Greek: kenon), was important in the theoretical foundations of Greek atomism, which asserted, despite the seemingly rigorous logic of the Eleatics, that nothingness must in fact exist.
The recent solution of the long standing problem of the existence of spherical t-designs on Sd with O td) number of points by A. Bondarenko, D. Radchenko, and M. Viazovska attracted new interest to this subject.
These results are applied to the problem of the existence of non-trivial closed Lie ideals and closed characteristic Lie ideals in an infinite-dimensional Banach Lie algebra L that contains a non-trivial closed Lie subalgebra of finite codimension.
