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:
- "early ripening rice"
- new irrigation techniques and systems
- planting new crops (cotton, tea)
Explanation:
Song Dynasty was a famous Chinese dinasty ruling from 10th till 13th century.
Among other things, this period is famous for massive agricultural improvements which increased crop production. Subsequently, that led to the increase in China's population.
Probably the most famous improvement was the development and use of "early ripening rice". This rice had a shorter life cycle which meant that it could grow 2 - 3 times per year, making more crops.
Also, new irrigation systems and techniques were invented which allowed the crops to be watered more efficiently and preventing drought.
We must not forget that China started farming other crops at that time including tea and cotton.
All of this improved farming making it one of the most notable legacy of the Song Dynasty.
Just in my opinion:
1. True
2. True
3. False
4. True
5. True
6. True
Explanation:
Jargon are the formal words that are used by the professionals. Such words are not usually understandable by the normal people. These are the specialized or technical words. Such words are only understandable by professors or professionals of the concerned subject.
Following are the jargon and the English counterparts
1) Advantageous Helpful
2) Affected Impacted
3) Cutting Edge Leading
4) Disseminate Spread
5) State of the Art Latest
6) Utilization Use
