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Pileup format is a text-based format for summarizing the base calls of aligned reads to a reference sequence. This format facilitates visual display of SNP /indel calling and alignment. It was first used by Tony Cox and Zemin Ning at the Wellcome Trust Sanger Institute , and became widely known through its implementation within the SAMtools ...
The K-groups of finite fields are one of the few cases where the K-theory is known completely: [2] for , = (() +) {/ (), =,For n=2, this can be seen from Matsumoto's theorem, in higher degrees it was computed by Quillen in conjunction with his work on the Adams conjecture.
The group K 1 (R) is closely related to the group of units R ×, and if R is a field, it is exactly the group of units. For a number field F, the group K 2 (F) is related to class field theory, the Hilbert symbol, and the solvability of quadratic equations over completions.
A coloring using at most k colors is called a (proper) k-coloring. The smallest number of colors needed to color a graph G is called its chromatic number, and is often denoted χ(G). Sometimes γ(G) is used, since χ(G) is also used to denote the Euler characteristic of a graph.
The mapping from rings of integers R to their corresponding class groups is functorial, and the class group can be subsumed under the heading of algebraic K-theory, with K 0 (R) being the functor assigning to R its ideal class group; more precisely, K 0 (R) = Z×C(R), where C(R) is the class group. Higher K groups can also be employed and ...
If-then-else flow diagram A nested if–then–else flow diagram. In computer science, conditionals (that is, conditional statements, conditional expressions and conditional constructs) are programming language constructs that perform different computations or actions or return different values depending on the value of a Boolean expression, called a condition.
K-group or K group may refer to: A group in algebraic K-theory; A group in topological K-theory; A complemented group;
Digit group separators can occur either as part of the data or as a mask through which the data is displayed. This is an example of the separation of presentation and content, making it possible to display numbers with spaced digit grouping in a way that does not insert any whitespace characters into the string of digits in the content.