The ONS says it's also seeing an increase in community groups using census data to bolster their own funding applications by proving that a certain group is prevalent in each area - not least because the data is available finally at very local area level.
This paper proves that a certain class of nonconvex matrix inequalities is equivalent to linear matrix inequalities (LMIs) plus a nonconvex rank constraint.
Jorgensen and Pedersen have proven that a certain fractal measure ν has no infinite set of complex exponentials which form an orthonormal set in L2.
Opposite to the deterministic case where smooth initial conditions may develop discontinuities, we prove that a certain Sobolev degree of regularity is maintained, which implies Hölder continuity of solutions.
The figure we could see was only a convenient "reminder" of what we are supposed to have in mind when we want to prove that a certain property, namely, that it is a right triangle, has to belong to the object in our mind in virtue of what it is, namely, a triangle inscribed in a semicircle.
Bucklew v. Precythe asks whether the Eighth Amendment, which bans cruel and unusual punishment, grants death row inmates the right to prove that a certain execution method would constitute torture, and whether an inmate should be required to present an alternative method.
A wheat-growing farmer in Europe will not see any indirect effects of his or her actions, and it can never be proven that a certain land use in Brazil, for example, is the effect of the European farmer's change from producing wheat for food to wheat for ethanol.
Now, we consider half-continuity of multivalued mappings and prove that under a certain assumption they have fixed point.
First, we will geometrically prove that (A(x_{1},x_{2})) is constant on certain line segments that are maximal and then we use this fact to show that u is affine on each such segment.
It has been proved that under a certain regularity condition, B q improves the smoothness of a function which does not satisfy the Hölder condition.
