Answer:
1. Doctor : You should take this medicine every day.
Patient : Should I take it before dinner or after dinner?
Doctor : No, you should take it after breakfast.
The Doctor advised the patient that (a) he should take the medicine every day. The patient further asked (b) if he should take it before or after dinner.The doctor replied negatively and then said (c) that he should take it after breakfast.
2. Teacher : Children, let us all pledge to save trees.
Children : Yes, Mam, we all pledge to save our trees as the trees are the lungs of the city.
Teacher : Let us start today by planting a sapling.
The teacher asked all the children to pledge to save trees. The children replied affirmatively (a) that they pledge to save their trees as the (b) lungs of the city. Then the teacher said that (c)they would start by planting a sapling.
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.
