Loop.Loops represent repetitive sequences. The interaction operator isloop. This list is not exhaustive of the extensive notation options for sequence diagrams. In many cases, these basic elements make up the diagram. In others, teams can look to specific notating options for unique design. The ...
In contrast, we observe that, if we require that it be invariant under homological equivalence of differential coalgebras, there is no natural modeling of the comultiplication in the loop space. But, in rational homotopy theory, results of Milnor–Moore and Quillen show that there is a ...
The code is simple but useful. There are a number of functions that perform simple computations; some require simple for loops. The getPrime function is the most complex because it contains a while loop and, within the loop, it calls the isPrime function, which also contains a loop. I’ll...
i≠0 have no physical reality (another thing is the quantum universe, which is reversible, so all its states have the same entropy! Although at the moment it is nothing more than a set of mathematical models). Colloquially, this would mean that the classical universe does not ...
These are very straightforward optimizations; there’s no inlining of IL, no loop unrolling, no interprocedural analysis whatsoever. We let the jitter team worry about optimizing the heck out of the code when it is actually spit into machine code; that’s the place where you can get real ...
The skew-dimension of a set is a quantity smaller than the affine dimension which is defined recursively; the precise definition is given in the paper, but suffice to say that singleton sets have dimension , and a set whose projection to has skew-dimension at most , and whose fibers in ha...
These are very straightforward optimizations; there’s no inlining of IL, no loop unrolling, no interprocedural analysis whatsoever. We let the jitter team worry about optimizing the heck out of the code when it is actually spit into machine code; that’s the place where you can get real ...
It's not clear if SomeCondition is loop variant or loop invariant. This could impact the code generated in the presence of OMP SIMD PRIVATE(xFoo). If it's loop invariant, the conditional may have been hoisted out of the inner loop to the outer loop, a mask vector created and a temp...
Also, there are cases where the temporary is loop invariant, so it could be created and destroyed outside an inner loop, likely making it beneficial for performance. Translate 0 Kudos Copy link Reply jimdempseyatthecove Honored Contributor III 09-09-2006 07:55 PM 2,061 Views ...
Since the only loop that lies in is (for ) or (for ), we thus may isolate a weaker consequence of the Collatz conjecture: Conjecture 2 (Weak Collatz conjecture) Suppose that is a natural number such that for some . Then is equal to , , or . Of course, we may replace with (and ...