What Do You Know About Association Schemes?

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| By AdeKoju
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AdeKoju
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  • 1/10 Questions

    Which kind of analysis is the theorem used for?

    • Analysis of variance
    • Analysis of recombination
    • Analysis of reoccurrence
    • Analysis of function
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About This Quiz

Association schemes are one of the theories applied in statistics, specifically in the theoretical aspect of experimental design for the analysis of variance.
When it boils down to mathematics, combinatorics, algebraic combinatorics, and algebra are parent fields of association schemes.
The term was coined by Bose, R. C. And Shimamoto, T. In the early 1950s.

What Do You Know About Association Schemes? - Quiz

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  • 2. 
    In mathematics, which two fields deal with association schemes the most? - ProProfs

    In mathematics, which two fields deal with association schemes the most?

    • Algebra and combinatorics

    • Algebra and computation

    • Trigonometry and combinatorics

    • Calculus and trigonometry

    Correct Answer
    A. Algebra and combinatorics
    Explanation
    The correct answer is Algebra and combinatorics. Association schemes are a concept in algebra that study the relationships between sets of objects. Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects. Both algebra and combinatorics involve the study of relationships and structures, making them the two fields that deal with association schemes the most. Trigonometry and calculus, on the other hand, focus more on functions and their properties, while computation is a broader field that encompasses various aspects of mathematics and computer science.

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  • 3. 
    How can you classify every symmetric association scheme? - ProProfs

    How can you classify every symmetric association scheme?

    • Symmetrical

    • Systematic

    • Commutative

    • Associative

    Correct Answer
    A. Commutative
    Explanation
    Every symmetric association scheme can be classified as commutative because in a commutative scheme, the order in which the elements are combined does not affect the final result. In a symmetric association scheme, the elements can be rearranged or swapped without changing the overall structure or properties of the scheme. Therefore, the scheme can be considered commutative.

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  • 4. 
    What does Ri represent? - ProProfs

    What does Ri represent?

    • Systematic relation

    • Astronomical relation

    • Functional relation

    • Combinations relation 

    Correct Answer
    A. Systematic relation
    Explanation
    Ri represents a systematic relation. This means that Ri represents a relationship or connection that follows a specific order or pattern. It suggests that there is a structured and organized relationship between the variables or elements involved. This could imply that there is a predictable and consistent pattern in how the variables interact or influence each other.

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  • 5. 
    What does Vi represent? - ProProfs

    What does Vi represent?

    • Valency

    • Vertical axis

    • Velocity

    • Resultant vector Voltage

    Correct Answer
    A. Valency
    Explanation
    Vi represents valency, which is a measure of the ability of an atom to form chemical bonds with other atoms. Valency determines the number of electrons an atom can gain, lose, or share in order to achieve a stable electron configuration. It is an important concept in chemistry and is used to predict the types of chemical bonds that can be formed between different elements.

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  • 6. 
    Who introduced association schemes? - ProProfs

    Who introduced association schemes?

    • Artin and Bose

    • Bose and Shimamoto

    • Shimamoto and Artin

    • Fuch and Lemar

    Correct Answer
    A. Bose and Shimamoto
    Explanation
    Bose and Shimamoto introduced association schemes.

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  • 7. 
    In algebra, what do association schemes generalize? - ProProfs

    In algebra, what do association schemes generalize?

    • Equation

    • Status

    • Group

    • Value

    Correct Answer
    A. Group
    Explanation
    Association schemes in algebra generalize the concept of a group. They provide a framework for studying the symmetries and relationships between different objects, such as graphs or designs. Association schemes extend the properties of groups to more complex structures, allowing for a deeper understanding of their properties and applications in various mathematical fields.

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  • 8. 
    What does Ro represent? - ProProfs

    What does Ro represent?

    • Identity relation

    • Symmetrical relation

    • Functional relation

    • Astronomic relation

    Correct Answer
    A. Identity relation
    Explanation
    The correct answer is Identity relation. The symbol "Ro" typically represents the identity relation, which is a relation where every element is related to itself. In other words, for any element x, Ro relates x to x. This relation is reflexive, meaning it satisfies the property that every element is related to itself. Therefore, Ro represents the identity relation.

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  • 9. 
    What does Vi represent? - ProProfs

    What does Vi represent?

    • Associate scheme

    • Adjacency matrix

    • Allowance value

    • Adjointed value

    Correct Answer
    A. Adjacency matrix
    Explanation
    Vi represents the Adjacency matrix. The adjacency matrix is a square matrix that represents the connections between vertices in a graph. Each element in the matrix represents an edge, and a value of 1 indicates that there is an edge between the corresponding vertices, while a value of 0 indicates no edge. Therefore, Vi in this context refers to the representation of the graph's connections in the form of an adjacency matrix.

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  • 10. 
    Which is the property of air?  - ProProfs

    Which is the property of air? 

    • Symmetric

    • Associative 

    • Commutative

    • Combinatronic

    Correct Answer
    A. Symmetric

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  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 17, 2018
    Quiz Created by
    AdeKoju
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