Math Quizzes, Questions & Answers
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In mathematics, the field of representational theory studies abstract algebraic structures by the using the linear transformation of vector spaces to represent their elements. The highest weight category is also one of this...
Questions: 10 | Attempts: 130 | Last updated: Mar 20, 2023
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Sample QuestionThe highest-weight category is a field that is...
The centered polygonal numbers can be referred to as a class or series of figurate numbers. Each of these numbers is formed by a central dot, which is usually surrounded by a polygonal layer and has a constant number of sides....
Questions: 10 | Attempts: 134 | Last updated: Mar 21, 2023
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Sample QuestionWhere did arranging numbers into regular shapes like squares originate from?
Most of the theories that we use today in mathematics are most of the time very old. It is as if all has already been invented or deciphered when it comes to math. Well, Alvis Curtis has proven us wrong because in the 1990s he...
Questions: 10 | Attempts: 122 | Last updated: Mar 19, 2023
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Sample QuestionWhat's duality?
Herz–Schur multipliers were named after two scientists: Carl S. Herz and Issai Schur. The multiplier was introduced by Haagerup and collaborators in 1985 and it is a special kind of mapping used in the field of...
Questions: 10 | Attempts: 123 | Last updated: Mar 18, 2023
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Sample QuestionWhat is the S in Carl S. Herz?
The postage stamp problem can be explained as a mathematical riddle that questions the smallest postage value that cannot find a place on an envelope. Especially if the envelope is limited to only a number of stamps with...
Questions: 10 | Attempts: 149 | Last updated: Mar 21, 2023
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Sample QuestionUnder which kind of mathematical problem does it fall?
Haagerup property is named after Uffe Haagerup and it can be considered a property of groups that strongly negates Kazhdan's property (T). The Haagerup property is common in a lot of mathematical fields.
This includes...
Questions: 10 | Attempts: 131 | Last updated: Mar 22, 2023
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Sample QuestionWhat is the other name for Haagerup property?
In mathematics, there's a thing called restricted representation. It is described as the construction in the representation of groups. In other words, these representations supposedly form a representation of a whole...
Questions: 10 | Attempts: 128 | Last updated: Mar 22, 2023
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Sample QuestionWhat's explicit symmetry breaking?
Mathematics generally have polygonal numbers taking the form of a dot or if you close enough, the shape of a pebble.
Wherein the dots or pebbles are regarded as the alphas (units) and are one type of 2-dimensional figurate...
Questions: 10 | Attempts: 162 | Last updated: Mar 21, 2023
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Sample QuestionWhat represents polygonal numbers often?
For those who love mathematics, representation on coordinate rings is defined as the representation of a group on coordinate rings of affine varieties. Now, the question is do you know all the symbols and terms involved with this...
Questions: 10 | Attempts: 119 | Last updated: Mar 20, 2023
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Sample QuestionWhat's an Affine algebraic variety?
When it comes to mathematical expressions or equations, Proizvolov's identity is described as the identity that deals with the summation of the difference of the integers that are positive. The identity was discovered by...
Questions: 10 | Attempts: 125 | Last updated: Mar 18, 2023
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Sample QuestionWhen was the theorem discovered?
The word Mathematics has evolved from the Greek word Mathema which means learning, knowledge, and study. There is no general definition of math and mathematicians use patterns to formulate new conjunctions until the truth has...
Questions: 12 | Attempts: 5573687 | Last updated: Oct 1, 2024
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Sample QuestionWho said "The universe can not be read until we learn the language and become familiar with the characters in which it is writte"?
Also known as the Eckmann–Shapiro Lemma, Shapiro's lemma is useful in numerous areas of the abstract algebra field in mathematics.
In the 21st century, Beno Eckmann and Arnold Shapiro individually contributed to the...
Questions: 10 | Attempts: 131 | Last updated: Mar 19, 2023
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Sample QuestionShapiro's lemma is also known as which of these?
Schubert polynomials are speculations of Schur polynomials that speak to cohomology classes of Schubert cycles in flag or hail assortments.
In mathematics, there are many variations, which include double Schubert polynomials,...
Questions: 10 | Attempts: 129 | Last updated: Dec 6, 2024
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Sample QuestionSchubert polynomials are generalizations of Schur polynomials that represent which of these?
Despite the fact that not all simple modules have a simple submodule, every simple module is generated by one element. Meanwhile, the idea of simple modules is particularly connected in the ring theory field of mathematics. In...
Questions: 10 | Attempts: 127 | Last updated: Mar 17, 2023
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Sample QuestionIf every cyclic submodule generated by a non-zero element of a module equals that module, what is it?
Algebraic braic groups mathematician Ichir� Satake introduced Satake isomorphism (along with Satake diagrams) in the early 1960s.
It recognizes the Hecke algebra or polynomial math of a reductive group over a local field...
Questions: 10 | Attempts: 120 | Last updated: Mar 18, 2023
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Sample QuestionWhen was Satake isomorphism introduced?
In the science of structure, order, and relation otherwise known as mathematics, the successor function is a primitive recursive function S in a way that S(n) = n+1 for n, each natural number.
The successor function is also...
Questions: 10 | Attempts: 150 | Last updated: Mar 19, 2023
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Sample QuestionHow do we denote the successor function?
Dear Student,
This Assessment consists of questions to test your understanding on - Calculation & Estimation Techniques
You may attempt the same and clarify doubts in WP Group ./ With your Faculty...
Questions: 21 | Attempts: 478 | Last updated: Mar 22, 2023
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Sample QuestionFind the unit’s digit of 13 ^ 137 + 17 ^ 731 + 18 ^ 138 + 12 ^ 432
Considered and introduced by Michel Demazure in the 1970s, the root datum is a widely used approach in the group theory branch of mathematics.
It is a speculation of a root system or framework that decides the gathering up to...
Questions: 10 | Attempts: 121 | Last updated: Mar 21, 2023
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Sample QuestionWhich is an example of a reductive group?
In the representation theory branch of mathematics, the stable module category is is a classification or category with projectives that are considered out.
If you would like to know more about this widespread type of categories,...
Questions: 10 | Attempts: 121 | Last updated: Mar 19, 2023
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Sample QuestionHow can you describe the projectives?
Semi-simplicity is a concept widely used in many branches of mathematics, which include representation theory, linear and abstract algebra, algebraic geometry, and category theory.
An object that has semi-simplicity can be...
Questions: 10 | Attempts: 122 | Last updated: Mar 20, 2023
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Sample QuestionSimple objects are those that do not contain which of the following?
In the representation theory branch of mathematics, Steinberg's formula (or Steinberg formula) is the description of the variety of an unchangeable representation of a semisimple complex Lie polynomial and algebra in a tensor...
Questions: 10 | Attempts: 128 | Last updated: Mar 22, 2023
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Sample QuestionWhen was Steinberg's formula introduced?
Representations—in the representation theory branch of mathematics—have subrepresentations.
They simply mean a representation with limited dimensions dependably contains a nonzero subrepresentation that is...
Questions: 10 | Attempts: 121 | Last updated: Mar 18, 2023
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Sample QuestionWhat are irreducible representations the building blocks of?
In the representation theory branch of mathematics, Symplectic representations are a Lie variable-based math on a symplectic vector space or a representation of a gathering which portrays a form or frame that is symplectic.
If...
Questions: 10 | Attempts: 116 | Last updated: Mar 19, 2023
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Sample QuestionWhat condition will a representation of a group G preserve ω?
In the representation theory branch of mathematics, Schur–Weyl duality relates unchangeable limited dimensional representations of the general symmetric and linear groups and gatherings.
The mathematical theorem shapes a...
Questions: 10 | Attempts: 119 | Last updated: Mar 21, 2023
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Sample QuestionWhich theorem is used to prove the Schur–Weyl duality?
In the representation theory branch of mathematics, Schur's lemma is a popular theorem used for algebras and groups. Despite the fact that the theorem is outright basic, it has been very useful since it was created in the...
Questions: 10 | Attempts: 163 | Last updated: Mar 21, 2023
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Sample QuestionHow do we determine if a ring is strongly indecomposable?
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