Taking forward the example of sets given above, the sets are said to be equivalent if they have the same number of elements, but the elements are different. Two triangles having same areas are said to be equivalent but not equal if other parameters are not the same. It is the equivalent concept of equality used in geometry. There is another word labeled equivalent that echoes this sentiment. This is because those having studied sets in math know that equivalent does not mean identical or the same. So {a, b, c} and {c, b, a} are called equal sets. • When two things are same in some specific way, but not identical, they are said to be equivalent. As adjectives the difference between equal and equivalent However, it would be wrong to Say that equivalent things are equal as there are differences between the two. In general, two things are equal if they are similar in all respects. We use the symbols  or  to indicate that  and  are equivalent. There are similarities between things or objects that are equivalent. For instance, numbers 2 and 7 are equivalent in the sense that they are both prime numbers. I would just like to add the fundamental difference between the two, Operators such as == are not polymorphic, while Equals is. Equivalent. For instance, suppose. If the answer depends on the area of mathematics, then please take the question in the context of logical systems and statements. When two sets are equivalent, they contain the same number of elements. Equal and equivalent are terms or words that confuse many not having a math background. • If some attributes of geometric figures are the same in magnitude, then they are said to be equal. Thus, the sets {a, b, c} and {1, 2, 3} are said to be equivalent and not equal. Equal and equivalent are terms that are used frequently in mathematics. 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 the case of set theory, two sets are equal if they both contain the same elements. When two sets are equal, they contain the same elements. Equal vs Equivalent . If there is a financial product that has been discontinued but still in demand, an insurance company comes up with a similar product that is said to be equivalent to the earlier product. However, if the condition we are interested in is finding out whether numbers are even, then in this sense 2 and 7 are not equivalent. Equivalent is a synonym of equal. What is the Difference Between Recursive and Explicit. When things are equivalent, they are similar in a particular aspect. For example, students obtaining same number of marks are treated equals while two circles having the same area are also considered equal circles. When two things are same in some specific way, they can be called equivalents. Once a criterion has been defined, things that are equivalent satisfy the equivalence relations: In set theory, two sets are equivalent if they have the same number of elements. In basic set theory, two sets can either be equivalent, equal or unequal to each other. Compare the Difference Between Similar Terms. (adsbygoogle = window.adsbygoogle || []).push({}); Copyright © 2010-2018 Difference Between. @media (max-width: 1171px) { .sidead300 { margin-left: -20px; } } 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. When two things cannot be compared directly, it is better not to call them equal. Therefore, whether two entities are equivalent largely depends on the condition we use to  describe their equivalence. Equal and equivalent are terms that are used frequently in mathematics. In plain language, what's the difference between two things that are 'equivalent', 'equal', 'identical', and isomorphic? 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. Equal and equivalent are terms or words that confuse many not having a math background. • Two food items are said to be equivalent if they have the same health benefits for us. • If your defective TV under warranty is replaced by vendor by another set, you have received an equivalent TV. 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. The elements themselves do not need to be the same, either, only the number of elements needs to be the same. When two things are same or identical in amount or quantity, we call them as equal. ... What is the difference between Congruent and Equal? Note that in the set theory, the words “equal” and “equivalent” have specific meanings, as we will see below. Filed Under: Science Tagged With: Equal, Equivalent. Coming from Engineering cum Human Resource Development background, has over 10 years experience in content developmet and management. 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. The order in which they are listed in a set does not matter. This is because those having studied sets in math know that equivalent does not mean identical or the same. In chemistry, the concept of equivalence is used to categorize elements that have the same capacity to react or combine with other elements. What is the difference between Equal and Equivalent? Main Difference – Equal vs. In geometry, a circle can be equivalent to a square if they have same areas, but they cannot be treated as equal. • When two things have the same amount or quantity that can be measured as identical, the two things are said to be equal such as the weights or heights of two people, the color of two shirts or the size of two TV sets. Terms of Use and Privacy Policy: Legal. The set is usually represented by the capital letter. In the case of congruence also much stricter definitions are provided in analytical geometry. When two things are equal, they are similar in all aspects. Home » Science » Mathematics » Difference Between Equal and Equivalent. 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. There are similarities between things or objects that are equivalent. Two things can be said to be equivalent if they are similar under a particular condition. Difference Between Scientific laws and Scientific Theories, Difference Between Random Error and Systematic Error, Difference Between Reliability and Validity, Difference Between Observation and Inference, Difference Between Coronavirus and Cold Symptoms, Difference Between Coronavirus and Influenza, Difference Between Coronavirus and Covid 19, Difference Between Probiotics and Prebiotics and Synbiotics, Difference Between Interstitial and Appositional Growth, Difference Between Methylacetylene and Acetylene, Difference Between Nicotinamide and Nicotinamide Riboside, Difference Between Bleaching Action of SO2 and Cl2, Difference Between Collagen Elastin and Reticular Fibers. 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. For instance, suppose, Symbols for expressing equality and equivalence. All rights reserved.

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