Concept explainers
To explain why some mathematicians consider every joint variation is a combined variation, but not every combined variation a joint variation.
Answer to Problem 50HP
If a function vary in more than one element some mathematician categorise it as a combined variation and if in a combined variation the function varies directly with all elements they termed it as joint variation. They take joint variation as a special case of combined variation.
Explanation of Solution
Given information The given statement is every joint variation is a combined variation, but not every combined variation a joint variation.
If a function vary in more than one element some mathematician categorise it as a combined variation and if in a combined variation the function varies directly with all elements they termed it as joint variation. They take joint variation as a special case of combined variation. According to this categorisation it can be concluded that every joint variation is a combined variation, but not every combined variation a joint variation.
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