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Thus, the row echelon form can be viewed as a generalization of upper triangular form for rectangular matrices. A matrix is in reduced row echelon form if it is in row echelon form, with the additional property that the first nonzero entry of each row is equal to and is the only nonzero entry of its column. The reduced row echelon form of a ...
Lemma (morphology) In morphology and lexicography, a lemma ( pl.: lemmas or lemmata) is the canonical form, [1] dictionary form, or citation form of a set of word forms. [2] In English, for example, break, breaks, broke, broken and breaking are forms of the same lexeme, with break as the lemma by which they are indexed.
For example, in English, run, runs, ran and running are forms of the same lexeme, which can be represented as RUN. One form, the lemma (or citation form), is chosen by convention as the canonical form of a lexeme. The lemma is the form used in dictionaries as an entry's headword. Other forms of a lexeme are often listed later in the entry if ...
The simplified molecular-input line-entry system ( SMILES) is a specification in the form of a line notation for describing the structure of chemical species using short ASCII strings. SMILES strings can be imported by most molecule editors for conversion back into two-dimensional drawings or three-dimensional models of the molecules.
A diagram showing the first eight rows of Pascal's triangle. In mathematics, Pascal's triangle is a triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians ...
The fundamental accounting equation, also called the balance sheet equation, is the foundation for the double-entry bookkeeping system and the cornerstone of the entire accounting science. Like any equation, each side will always be equal. In the accounting equation, every transaction will have a debit and credit entry, and the total debits ...
An example of a matrix in Jordan normal form. The grey blocks are called Jordan blocks. The eigendecomposition or diagonalization expresses A as a product VDV −1, where D is a diagonal matrix and V is a suitable invertible matrix. If A can be written in this form, it is called diagonalizable.
Backus–Naur form. In computer science, Backus–Naur form ( / ˌbækəs ˈnaʊər /) (BNF or Backus normal form) is a notation used to describe the syntax of programming languages or other formal languages. It was developed by John Backus and Peter Naur. BNF can be described as a metasyntax notation for context-free grammars.
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