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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.
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An relation is equivalent if and only if it is symmetric, reflexive and transitive. That is, if a ~ b and b ~a, if a ~ a, and if a ~ b, and b ~ c, then a ~ c.
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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 ~ a
- Symmetry: ∀a, b ∈ R, if a ~ b, then b ~ a
- Transitivity: ∀a, b, c ∈ R, if a ~ b and b ~ c, then a ~ c.
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An equivalence relation ~ on A partitions into pairwise disjoint subsets called equivalence classes so that 1. Within each class, every pair relates 2. Between classes there is no relation i.e. [x] = {a (element) A | a~x} and given two equivalence classes [a] and [b], either [a] = [b] or [a] intersect [b] = the empty set
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No. It is not transitive.
x ≠y and y ≠z does not imply that x ≠z
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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.
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Could you be more specific? An equivalence relation effectively partitions a set into nonoverlapping subsets.
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Establishing equivalence depends on the definition of parallel lines. If they are defined as lines which cannot ever meet (have no point in common), then the relation is not reflexive and so cannot be an equivalence relation.
However, if the lines are in a coordinate plane and parallel lines are defined as those which have the same gradient then:
- the gradient of a is the gradient of a so the relationship is reflexive ie a ~ a.
- if the gradient of a is m then b is parallel to a if gradient of b = m and, if the gradient of b is m then b is parallel to a. Thus the relation ship is symmetric ie a ~ b <=> b ~ a.
- If the gradient of a is m then b is parallel to a if and only if gradient of b = gradient of a, which is m. Also c is parallel to b if and only if gradient of c = gradient of b which is m. Therefore c is parallel to a. Thus the relation is transitive, that is a ~ b and b ~ c => a ~ c.
The relation is reflexive, symmetric and transitive and therefore it is an equivalence relationship.
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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.
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An equivalence relationship is a relationship over the set of integers defined for as follows:
For equivalence modulo n (n being a positive integer),
a ~ b (mod n) <=> n divides (a-b)
This partitions the set of integers into n equivalence classes: {0, 1, 2, ... , n-1}.
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This is an equivalence relation that contains elements of the natural numbers together with an element (denoted by the symbol x) that is defined by some extension of N.
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A bisimulation is a pair of associating systems within an equivalence relation between state transition systems which behave in the same way in the sense that one system simulates the other, and vice versa.
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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.
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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.
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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.
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A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.
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You cannot divide a number by an equation.
Using the mass-energy equivalence relation:
67067.55 Joules would be equivalent to 746.2 picograms.
67067.55 kilograms would be equivalent to 6.028 zettajoules.
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The pH at the second equivalence point in a titration is typically around 9 to 10.
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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.
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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.
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No, the equivalence point of a titration is not always zero. The equivalence point is the point in a titration where the amount of titrant added is stoichiometrically equivalent to the amount of analyte present in the sample, leading to a neutralization reaction. The pH at the equivalence point depends on the nature of the reaction and the strengths of the acid and base involved.
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The equivalence point in a titration curve is where the amount of titrant added is stoichiometrically equivalent to the amount of analyte present. This point signifies the completion of the reaction. To accurately find the equivalence point during a titration process, one can use an indicator that changes color at or near the equivalence point, or use a pH meter to monitor the pH changes in the solution. Additionally, one can perform a titration with a known concentration of titrant to determine the equivalence point more precisely.
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More than 9 ounces and less than 11 ounces. If you mean in relation to metric equivalence, there are many website offering calculators and conversion tables for such a thing. I'm confident that there is probably an app for the iPhone and such devices if you were to do a search.
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The equivalence point is reached in a titration when the moles of acid are equal to the moles of base added. At the equivalence point, the pH of the solution is at its maximum or minimum value, depending on whether a strong acid or base is used in the titration.
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Type equivalence occurs when two variables are of the same type. For example, if both variables are int (integer variables), they are of equal types. Equivalence can also occur with two different types that are compatible with each other.
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The equivalence point is the point in a titration when the amount of added standard reagent is chemically equal to the amount of analyte.
The end point is the point in a titration when a physical change occurring immediate after the equivalence point
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An indicator should have a pKa close to the expected pH at the equivalence point. For a titration with an equivalence point at pH 5, an indicator with a pKa in the range of 4 to 6 would be suitable for visual detection of the endpoint.
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To find the equivalence point in a titration experiment, one can use an indicator that changes color at the pH of the equivalence point. Alternatively, a pH meter can be used to monitor the pH of the solution during the titration. The equivalence point is reached when the amount of titrant added is stoichiometrically equivalent to the amount of analyte present.
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In acidic medium, the equivalence point can be detected using an acid-base indicator that undergoes a color change at the pH corresponding to the equivalence point. Alternatively, a pH meter can be used to monitor the pH of the solution during the titration, with the equivalence point identified as the point of maximum change in pH.
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Endpoint titration refers to the point in a titration where the indicator changes color, signaling that the reaction is complete. Equivalence point, on the other hand, is the point in the titration where the moles of the titrant are stoichiometrically equal to the moles of the analyte. The equivalence point does not necessarily coincide with the endpoint, as the indicator may change color before or after reaching the equivalence point.
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Equivalence in chemistry refers to the concept of equal amounts of substances reacting with each other. In chemical reactions, equivalence is important because it helps determine the stoichiometry, or the quantitative relationship between reactants and products. By understanding equivalence, chemists can accurately predict the amounts of substances involved in a reaction and calculate the necessary quantities for a desired outcome.
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An Equivalence fallacy is the error of defining distinct and conflicting items in similar terms, thus equating tow items that are not, in fact, equal. An author who suggests that one act of serious wrongdoing does not differ from a minor offence commits the fallacy of moral equivalence. A different kind of Equivalence Fallacy is used when, for example, a politician argues: "Yes, I used illegal money to fund my campaign ... but so did my opponent!" This type of moral equivalence fallacy is called the "tu quo" argument ("But you're one too!").
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The pH meter can detect the equivalence point in a titration by monitoring a sudden change in pH value. At the equivalence point, the number of moles of acid and base are equal, causing a rapid increase or decrease in pH depending on the reaction. This abrupt change marks the completion of the reaction and helps determine the exact volume of titrant needed to reach the equivalence point.
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good relation, bad relation... also known as suck relation. fun relation, sex relation, happy relation, blood relation.
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In the titration of a polyprotic acid, the successive equivalence-point volumes decrease because each equivalence point corresponds to the complete neutralization of one acidic proton. This leads to a decrease in the moles of acid present in the solution, requiring less titrant to reach the subsequent equivalence points.
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the end point will be a simple multiple of the first
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The key points on a titration curve are the initial point, the equivalence point, and the endpoint. The equivalence point is when the amount of titrant added is stoichiometrically equivalent to the amount of analyte present. The curve shows the pH changes during the titration, with a sharp increase or decrease in pH at the equivalence point. The endpoint is when the indicator changes color, indicating the completion of the reaction.
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every indicator has it's endpoint range,so changing indcators will affect the equivalence point
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what is the currency in Nariobi? What is its equivalence to the America dollar
what is the currency in Nariobi? What is its equivalence to the America dollar
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Two conversion factors can be made from one equivalence statement. But there may be up to 4 or 5 (depends).
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Yes, the solution at the equivalence point of titrating HCl with Na2CO3 is slightly acidic. This is because a weak acid, H2CO3, is formed in addition to NaCl. The carbonic acid (H2CO3) contributes to the slight acidity of the solution.
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The half equivalence point in a titration process can be determined by finding the volume of titrant added that is halfway between the initial volume and the volume at the equivalence point. This can be done by plotting a graph of the volume of titrant added against the pH or another relevant property being measured, and identifying the point where the curve reaches halfway between the initial and equivalence points.
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