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.
Answer:
To remove the "dead-weight phrase" in the sentence: "It has been found that most people consider buying a house the largest purchase they can ever make," it can be rewritten as follows:
"Most people consider buying a house the largest purchase they can ever make."
Explanation:
A dead-weight phrase is one that is not helpful in a sentence to convey the intended meaning. This implies that the meaning can still be picked up without the phrase. For example, the phrase: "it has been found that" is not necessary in the sentence. The meaning of the sentence is conveniently conveyed with its omission. The meaning is not lost if the sentence is rewritten as "Most people consider buying a house the largest purchase they can ever make."
Generally, a dead-weight is an unnecessary burden that can be jettisoned to make a load lighter. Also an unhelpful person can be considered as a dead-weight.
You're, because it is a homphone (you're, your) and makes sense in this sentence.
Stanza is when poetry is written in chucks of lines, so you really cannot tell the answer if we cannot see the way the poem is written
They give the piece a dreary, melancholy tone.
The imagery of these quotes are very dark and gloomy. They change the author's tone into a more dreary, melancholy tone.
