This is because those having studied sets in math know that equivalent does not mean identical or the same. In this article, we are going to discuss what is meant by equal and equivalent set with examples and also the difference between them. In geometry, a circle can be equivalent to a square if they have same areas, but they cannot be treated as equal. In math, two sets are said to be equal if they contain the same number of elements and also the same elements though the order of elements in the two sets may be different. • When two things are same in some specific way, but not identical, they are said to be equivalent. For instance, numbers 2 and 7 are equivalent in the sense that they are both prime numbers. For instance, suppose, Symbols for expressing equality and equivalence. Home » Science » Mathematics » Difference Between Equal and Equivalent. When two things are same or identical in amount or quantity, we call them as equal. Equal and equivalent are terms that are used frequently in mathematics. There is another word labeled equivalent that echoes this sentiment. When two things are equal, they are similar in all aspects. In chemistry, the concept of equivalence is used to categorize elements that have the same capacity to react or combine with other elements. When two things cannot be compared directly, it is better not to call them equal. In general, two things are equal if they are similar in all respects. What is the Difference Between Recursive and Explicit. For instance, suppose. Compare the Difference Between Similar Terms. The elements themselves do not need to be the same, either, only the number of elements needs to be the same. One cannot directly compare cats with dogs, but it is said that they are equivalent when it comes to making great companions for human beings. The order in which they are listed in a set does not matter. For example, students obtaining same number of marks are treated equals while two circles having the same area are also considered equal circles. The main difference between equal and equivalent is that the term equal refers to things that are similar in all aspects, whereas the term equivalent refers to things that are similar in a particular aspect. However, it would be wrong to Say that equivalent things are equal as there are differences between the two. When two things are same in some specific way, they can be called equivalents. Equivalent. As adjectives the difference between equal and equivalent When two sets are equal, they contain the same elements. If two people make use of the same dumbbell sets and raise it the same number of times, they are said to have completed equal number of sets. Two things can be said to be equivalent if they are similar under a particular condition. Equal and equivalent are terms that are used frequently in mathematics. Difference Between Qualitative and Quantitative Data, Difference Between Correlation and Regression, What is the Difference Between Cape and Peninsula, What is the Difference Between Santoku and Chef Knife, What is the Difference Between Barbecuing and Grilling, What is the Difference Between Escape Conditioning and Avoidance Conditioning, What is the Difference Between Fiscal Year and Calendar Year, What is the Difference Between Turkey and Chicken. In basic set theory, two sets can either be equivalent, equal or unequal to each other. • If some attributes of geometric figures are the same in magnitude, then they are said to be equal. (adsbygoogle = window.adsbygoogle || []).push({}); Copyright © 2010-2018 Difference Between. In the case of congruence also much stricter definitions are provided in analytical geometry. In context|mathematics|lang=en terms the difference between equal and equivalent is that equal is (mathematics) to be equal to, to have the same value as; to correspond to while equivalent is (mathematics) relating to the corresponding elements of an equivalence relation.

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