The narrative designed for internal consumption was fiction moulded around a kernel of fact: the pharaoh was indeed cut off from his army, he did face a chariot onslaught while outnumbered, and he did inflict casualties.
The fear that it has, though, is a textbook example of how a rumor, especially about a place as tumultuous as Egypt these days, can take on a life of its own — fed by a kernel of fact, a dash of Twitter, and a convenient coincidence or two.
Those of us who study the period know how exceedingly difficult it is to extract kernels of fact from the muddled and often contradictory historical sources at our disposal.
"In a Dark Dark House," directed by Carolyn Cantor, is, according to LaBute, his first attempt to weave into dramatic fiction "a kernel of hard fact" about his own family, which is otherwise "shrouded in shadows and sadness".
Let A 1 be a linear operator of H defined by D ( A 1 ) = D ( A ) ∩ H, A 1 u = A u. Then A 1 is self-adjoint in H and H ∩ N ( A ) = { 0 }, where N ( A ) is the kernel of A. In fact, let u ∈ H ∩ N ( A ). Then u = ∑ u j, k sin j x exp i k a b t, j 2 − k 2 a 2 b 2 ≠ 0 ⟹ u j, k = 0. Let j and k be such that j 2 − k 2 a 2 b 2 = 0. Since b is even and a is odd, k is even.
Moreover, algorithms cannot be directly ported on the GPU because of the limited programming capabilities allowed by GPU kernels; as a matter of fact, they need to be redesigned to meet the requirements of the underlying SIMD architecture.
As a matter of fact, both kernel and firmware developers have to rethink the system bus pre-boot configuration.
(And in fact, the kernel of Paterniti's story did appear in Harper's Magazine, where it won a National Magazine Award).
In fact, the kernel of can be approximated by a bounded function so that.
In fact, the kernel of CFDs depends on the end points a and b which causes many differences from the Katugampola-type one.
The kernel of Jacobi's argument was in fact still the same as the one presented in his earlier Kant essay (1802).
