- #1
Ender0183
Top 1n e^10 reasons e is better than pi
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SUMMARY
The discussion centers on the comparison between the mathematical constants e and π, highlighting their significance in different mathematical contexts. It establishes that while both constants are important, π has a foundational role in geometry and calculus, as evidenced by its appearance in the Riemann zeta function, where ##\zeta(2)=\pi^2/6##. The conversation also emphasizes the preference for logarithmic notation, suggesting that using log instead of ln is more widely accepted among engineers. Overall, the dialogue illustrates the interplay between geometry and calculus, asserting that π's historical precedence in mathematics gives it an edge over e in certain applications.
PREREQUISITES- Understanding of logarithmic functions, specifically log and ln.
- Familiarity with calculus concepts, particularly the Riemann zeta function.
- Basic knowledge of geometry and its relationship to calculus.
- Awareness of mathematical constants, specifically e and π.
- Research the properties of the Riemann zeta function and its implications in number theory.
- Explore the historical development of geometry and calculus to understand their interdependencies.
- Study the differences between logarithmic bases and their applications in engineering and mathematics.
- Examine the significance of mathematical constants in various fields, including physics and engineering.
Mathematicians, engineers, students of calculus, and anyone interested in the foundational concepts of geometry and their applications in advanced mathematics.
- #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
- 158
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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
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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?
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