The mathematical concepts that Leonhard Euler's legacy included are as follows:
The formalization of function notation
The notation for the imaginary unit
The notation for the base of the natural logarithm
Remember, that all of Euler's legacy included the introduction of the concept of functions as well as the proper way to write them within a mathematical formula by using the notation f(x). Before his formalization of the notation, functional relationships were referred to by just one letter, F, or with Greek letters omitting the parentheses, φx. In fact, Euler spelled out much of the mathematical notation we use today, including the letter "e" for the base of the natural logarithm (also known as Euler's number), the letter "I" to denote the imaginary unit, and the Greek letter "Σ" for summations. He also encouraged the use of the Greek letter "π" to signify the ratio of a circle's circumference to its diameter.
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Answer:
The type of edit to direct quotes which is inappropriate is the following one:
Correcting errors in the quote.
Explanation:
If it is a direct quote, it is supposed to be as genuine as possible, that is, the essence of what was said by that particular person must be kept, and that includes not only what was said, but also how it was said- errors and all.
Eg: Let's say you want to quote Joker (played by Heath Ledger in "The Dark Knight") and you write:
As said by Joker: "Why <u>are you</u> so serious?"
In the example above, the essence of the original quote was lost, since the omission of verb and subject (Why so serious?) was what gave the classic quote its mysterious charm. So, it is best to keep it the way it actually is:
As said by Joker: "Why so serious?"
