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A basis (or reference frame) of a (universal) algebra is a function that takes some algebra elements as values () and satisfies either one of the following two equivalent conditions. Here, the set of all b ( i ) {\displaystyle b(i)} is called the basis set , whereas several authors call it the "basis".
The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are word pairs whose meanings are opposite and which lie on a continuous spectrum (hot, cold).
In abstract algebra, a bimodule is an abelian group that is both a left and a right module, such that the left and right multiplications are compatible.Besides appearing naturally in many parts of mathematics, bimodules play a clarifying role, in the sense that many of the relationships between left and right modules become simpler when they are expressed in terms of bimodules.
A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms, sometimes simply as lists of synonyms and antonyms.
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors .
National Examination Board is responsible for conducting and managing 12th grade-Higher Secondary exams and 10th grade Secondary Education Examination (SEE) Exams. [3] The jurisdiction of the previous Higher Secondary Education Board (HSEB) was limited to 11th and 12th-grade high school (10+2) only. HSEB was established in 1989 under the Higher ...
An asymptotic additive basis is a set for which all but finitely many natural numbers can be expressed as a sum of or fewer elements of . [ 1 ] For example, by Lagrange's four-square theorem , the set of square numbers is an additive basis of order four, and more generally by the Fermat polygonal number theorem the polygonal numbers for k ...
The SLC (Class 11 and 12) and SEE (Class 10) examinations are normally scheduled from April to June each year. The examinations are conducted by the National Examination Board (NEB), located in Sanothimi, Bhaktapur, Nepal. Until 2016, SLC was the Grade 10 final examination, famously known as the "iron gate" [citation needed]. However, after ...