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Results tagged with computation
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user 64
0
votes
What is the most number of digits of a mathematical transcendental constant that have been r...
Of course many mathematical constants can be computed to billions of digits,
I suppose the question is about physics: how many digits can be actually tested,
what are the most precise measurements.
A …
- 51.1k
0
votes
Using paper of known density to calculate area under a curve
In fact you do not need to know the thickness of the paper or its density.
You only have to be sure that the paper is reasonably uniform (has some constant density). Because you can draw a rectangle n …
- 51.1k
5
votes
Accepted
Tools of the trade: were early scientists and mathematicians really "writing with feathers u...
Quick Internet search says that feather quills were mainly used in 600-1800 AD.
After that people gradually switched to steel.
First true mathematicians (Babylonians) wrote on clay tablets.
In the G …
- 51.1k
34
votes
How did Napier come to invent logarithms?
The idea was to simplify multiplicaton of numbers. If you ever tried to multiply $10$-digit numbers by hand you will see what I am talking about.
The idea is this. We have $a^{m+n}=a^m a^n.$ On the r …
- 51.1k
10
votes
How did the shift from constructed mathematical objects to modern mathematics occur?
This change apparently occurred in the middle of 19th century.
Let me cite Carl Ludwig Siegel about it:
It is completely clear to me which conditions caused the gradual decadence of mathematics, from …
- 51.1k
38
votes
What is so mysterious about Archimedes' approximation of $\sqrt 3$?
And his conjecture about Archimedes computation by
the "averaging" algorithm that he proposes is not plausible, because it does not explain
the appearance of exactly these fractions. …
- 51.1k
1
vote
What/When was the first radio nav system capable of triangulating your position?
Radio navigation was used on a large scale during the "Battle of Britain" in WWII, to direct the fighter planes to the enemy bomber formations. Of course, they experimented much earlier than that, eve …
- 51.1k