Given a sequencing read, the broad goal of read mapping is to find the location(s) in the reference genome that have a “similar sequence”. Traditionally, “similar sequence” was defined as having a high alignment score and read mappers were viewed as
This article first was brief analyzes has rolled the theorem of mean in the differential calculus status, then in analyzed the Lagrange theorem of mean in the proof mentality foundation, has given the Lagrange theorem of mean another extremely useful proof, then drew out this article the c [tra...
Kleinberg [3] showed that every proof of Ramsey's theorem must use the axiom of choice, although rather weak forms of this axiom suffice. J. Dawson has raised the question of the position of Ramsey's theorem in the hierarchy of weak axioms of choice. In this paper, we prove or refute...
Serves as datastore for lspace.swyx.io writing, and product brainstorming, but has cleaned up canonical references under the /Resources folder. squidgy-prompts - any #langtwt folks interested in #gpt3 / #chatgpt and language learning?we’ve just released an open source set of prom...
THEOREM 3. A variety of groups is Cross if and only ;f it is generated by a finite group. Theorem 1 is an immediate consequence of this. Theorem 2 is trivial if B is contained in ‘u and, in particular, if B is not critical. If B is critical, then it has a unique minimal norm...
to run on large datasets and a decrease in runtime. We now denote the augmented Pathoscope2 as AugPatho2, and the augmented code can be found in same repository as the Additional file1: Appendix files. Given these caveats, Pathoscope2 appears to be the current practical state-of-the-art....
: here comes what the theorem says :这就是定理所说的 Irrational (√2) ... the square root of two is irrational Irrational (√2) ...二的平方根是无理数 := ... here comes the proof := ...证明来了 by ... the proof will be done by tactic(s) ...
I agree with the first two points, but the third point is probably not all that useful for reading proofs. I happen to be a PhD student in a proof-intensive area and have taken a speed-reading course. The techniques of speed-reading are helpful when reading articles mainly composed of on...
Using an approach, inspired by our modernisation of Lemoine's Geometrography, this paper proposes a new readability criterion for formal proofs produced by automated theorem provers for geometry. We analyse two criteria to measure the readability of a proof: the criterion given by Chou et al. ...
The proof of this fact is constructive; given any k -tape machine, it is shown how to design an equivalent two-tape machine that operates within the stated time bounds. In addition to being interesting in its own right, the trade-off relation between number of tapes and speed of ...