- #1
Ender0183
Top 1n e^10 reasons e is better than pi
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In summary, the conversation discusses the importance of both pi and e in mathematics, with the speakers noting that comparing the two does not make sense. The use of pi in geometry and calculus is highlighted, with the example of the Riemann zeta function mentioned. The conversation also touches on the use of ln versus log and makes a joke about engineers. The final comment mentions the significance of both pi and e in various mathematical equations.
- #2
Raghav Gupta
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That is all for entertainment but in our world both are important . Doing a comparison on such little things does not make sense.
For example,
## log_π π= 1## whereas ## log_π e## is a nasty number.
Geometry came earlier than calculus.
For making calculus, geometry was important and therefore π being used in baby geometry makes it better than e in your point 5 case.
For example,
## log_π π= 1## whereas ## log_π e## is a nasty number.
Geometry came earlier than calculus.
For making calculus, geometry was important and therefore π being used in baby geometry makes it better than e in your point 5 case.
- #3
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6. You really should use log instead of ln if you want me to take you seriously.
5. Pi arises in calculus and analysis. For example in the riemann zeta function ##\zeta(2)=\pi^2/6##.
3. ##\pi## stands for periphery.
5. Pi arises in calculus and analysis. For example in the riemann zeta function ##\zeta(2)=\pi^2/6##.
3. ##\pi## stands for periphery.
- #4
ellipsis
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micromass: log? What are you, some kind of engineer?
- #5
Ender0183
I beg your pardon, it was an attempt at humor.
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ellipsis said:
It are in fact the engineers who use ln, not the mathematicians.
- #7
Intrastellar
Gold Member
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A lumberjack ratherellipsis said:
- #8
mfb
Mentor
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sin(e) is a nasty number, where sin(π)=0.
Pi e without e might not taste good, but what is pi e without pi?
Pi e without e might not taste good, but what is pi e without pi?
1. What is the significance of e and pi in mathematics?
Both e and pi are mathematical constants that play a crucial role in many mathematical equations and concepts. E is the base of the natural logarithm, while pi is the ratio of a circle's circumference to its diameter.
2. What are the top reasons that make e better than pi?
There are many reasons why e is considered to be a more useful constant than pi. Some of the top reasons include e's role in exponential growth and decay, its use in calculating compound interest, and its relationship to the derivative function in calculus.
3. How is e related to compound interest?
E is used in the formula for calculating compound interest, which is a type of interest that is calculated on both the initial principal and the accumulated interest from previous periods. This is because e is the base of the natural logarithm, which is used to calculate continuous compounding.
4. Can you explain the connection between e and exponential growth and decay?
E is used in the formula for calculating exponential growth and decay, which describes the rate at which a quantity changes over time. This is because e is the base of the exponential function, which is used to model this type of growth and decay.
5. How does e relate to the derivative function in calculus?
The derivative function, which measures the instantaneous rate of change of a function, is closely linked to e. In fact, the derivative of e^x is e^x, making e a fundamental constant in the study of calculus and its applications.
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