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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Explanation:
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Answer:
It creates a weary, yet sympathetic tone.
Explanation:
The line "Bent double, like old beggars under sacks" shows how the characters presented in the poem are tired with the activities and life they lead, however, the poem presents them as good people who are tired of being productive and looking for better progress what makes the reader sympathize with them. In this case, we can say that this sentence was written to create a tired tone, but also to generate the reader's sympathy.
Answer:
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