0
An equivalence relation r on a set U is a relation that is symmetric (A r Bimplies B r A), reflexive (Ar A) and transitive (A rB and B r C implies Ar C). If these three properties are true for all elements A, B, and C in U, then r is a equivalence relation on U.
For example, let U be the set of people that live in exactly 1 house. Let r be the relation on Usuch that A r B means that persons A and B live in the same house. Then ris symmetric since if A lives in the same house as B, then B lives in the same house as A. It is reflexive since A lives in the same house as him or herself. It is transitive, since if A lives in the same house as B, and B lives in the same house as C, then Alives in the same house as C. So among people who live in exactly one house, living together is an equivalence relation.
The most well known equivalence relation is the familiar "equals" relationship.
Add your answer:
Earn +20 pts
What is meant by symmetric reflexive and transitive property and also equivalence relation?
First, let's define an equivalence relation. An equivalence relation R is a collection of elements with a binary relation that satisfies this property:Reflexivity: ∀a ∈ R, a ~ aSymmetry: ∀a, b ∈ R, if a ~ b, then b ~ aTransitivity: ∀a, b, c ∈ R, if a ~ b and b ~ c, then a ~ c.
How do you equivalence of liters and gallons in fraction form?
1 (US) Gallon=3.78541 Litres
Is a function is always a relation?
Yes. Functions are always relations, but relations are not always functions.
What are the answers to heinemann mathematics p7 link upworkbook pg 34 textbookpg 114?
fractions equivalence simplification
Why all functions relation?
Function is a special case of relation. It means function is a relation but all relations are not functions. Therefore all functions are relations.
How many equivalence relations are there on a set with four elements?
16
X equals x demonstrates what property of equality?
The reflexive property, which is a property of all equivalence relations. Two other properties, besides reflexivity, of equivalence relations are: symmetry and transitivity.
X equals x is the property of what equality?
I guess you mean to ask:'x = x exemplifies what property of the relation of equality?'.If so, then the answer is:The reflexive property, which is a property of all equivalence relations.Two other properties, besides reflexivity, of equivalence relations are:symmetry and transitivity.
What has the author Murray Sidman written?
Murray Sidman has written: 'Equivalence relations and behavior' -- subject(s): Behavioral assessment, Behaviorism (Psychology), Equivalence (Linguistics), Experimental Psychology, Research 'Coercion and its fallout' -- subject(s): Avoidance (Psychology), Control (Psychology), Punishment, Reinforcement (Psychology), Social control
What is fuel equivalence ratio of unity?
It mean the equivalence ratio is equal to 1.
Is the pH always 7 at the equivalence point?
No, the pH is not always 7 at the equivalence point. The pH at the equivalence point depends on the nature of the acid and base being titrated.
What is the largest equivalence relation on a set A?
An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n2 elements. Given any element a of the set, the smallest equivalence relation is (a,a) which has n elements.
Why is the point in the titration when neutralization occurs called the equivalence point?
The equivalence point is where the moles of acid and base in a reaction are present in stoichiometrically equal amounts, resulting in complete neutralization. It is called the equivalence point because the reactants are equivalent in terms of their chemical equivalence at this stage of the titration process.
How to find the equivalence point of a titration?
To find the equivalence point of a titration, you can use an indicator that changes color at the pH of the equivalence point, or use a pH meter to monitor the pH as the titrant is added. The equivalence point is reached when the moles of acid and base are equal, indicating complete neutralization.
What is the pH at the second equivalence point in a titration?
The pH at the second equivalence point in a titration is typically around 9 to 10.
What is the difference between the equivalence point and half equivalence point in a titration process?
The equivalence point in a titration is when the amount of titrant added is exactly enough to react completely with the analyte. This is where the reaction is complete. The half equivalence point is when half of the equivalent amount of titrant has been added, leading to a halfway point in the reaction.
Is equivalence point PKa?
No, the equivalence point is not the same as pKa. The equivalence point is the point in a titration where the moles of acid are stoichiometrically equal to the moles of base, while pKa is a measure of the strength of an acid and its tendency to donate a proton.
