What are equivalent representations?
Table of Contents
What are equivalent representations?
Two representations of an algebra are sometimes called equivalent, or isomorphic, if their kernels coincide; two representations of a topological group are called equivalent if the induced representations of some group algebra of this group are isomorphic.
What does equivalent numbers mean?
with the same value
The meaning of ‘equivalent’ generally refers to two numbers, expressions, or quantities with the same value.
What is equivalent number example?
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.
What are the different representations of numbers?
Here are five ways to represent numbers that our students must know.
- Standard Form. This one might be obvious, but our students need to know how to write and read numbers in standard form.
- Word Form.
- Place Value Chart.
- Expanded Form.
- Pictorial or Object Representation.
What is a representation in representation theory?
In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations (for example, matrix addition, matrix multiplication).
What is meant by representation of a group?
The term representation of a group is also used in a more general sense to mean any “description” of a group as a group of transformations of some mathematical object. More formally, a “representation” means a homomorphism from the group to the automorphism group of an object.
What is an equivalent?
Definition of equivalent 1 : equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.
What is the equivalent of 2 6?
1/ 3
Both 1/ 3 and 2/ 6 are equivalent fractions having the same value.
What is the equivalent of 3 6?
3/6 is the same as 9/18.
How do you teach numbers representation?
How to teach:
- Warm up by reviewing number identification.
- Model representing numbers in different ways.
- Practice matching numerals and number names to counted objects.
- Practice with number puzzles.
- Assessment of learning.
- Continued practice.
What is the basis of mathematical representation?
In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures.
What is representation theory used for?
“Roughly speaking, representation theory investigates how algebraic systems can act on vector spaces. When the vector spaces are finite-dimensional this allows one to explicitly express the elements of the algebraic system by matrices, hence one can exploit linear algebra to study ‘abstract’ algebraic systems.
What is equivalent form in math?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples.
How do you calculate equivalents?
Equivalent units describe how much work has been done on a certain number of physical items. To simply calculate equivalent units, you can multiply the number of physical items by the percentage of the work done on them. For two items that are 50% done, you would have one equivalent unit (2 x 50% = 1).
What is the equivalent of 3 12?
Equivalent fractions of 1/4 : 2/8 , 3/12 , 4/16 , 5/ Equivalent fractions of 3/4 : 6/8 , 9/12 , 12/16 , 15/
What is the equivalent of 2 3?
A fraction can have multiple equivalent ones. For example, 2/3 is a fraction equivalent to 8/12, 6/9, 4/6 and so on.
