Questions tagged [definition]
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5
questions
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1answer
69 views
Motivation behind original definition of metre? [duplicate]
The first original definition of the metre, presented by the French Academy of Sciences in 1795 is:
The length of the metre is one ten-millionth of the Earth quadrant, the distance from the North ...
2
votes
1answer
139 views
History of the definition of complex derivative
Almost all of modern complex analysis (Cauchy residue theorem, analytic continuation, etc) depend on the definition of a complex derivative.
That definition requires the derivative at a point $z_0$ is ...
2
votes
1answer
100 views
When were equivalence classes formalized?
Neither wikipedia or the first few pages of Google are showing me much about the history of the development of equivalence classes. When was this notion first formalized?
Footnote: I originally asked ...
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vote
2answers
196 views
What did Euclid mean by a straight line in his time?
The third and fourth definitions in Euclid's Elements say:
The ends of a line are points.
A straight line is a line which lies evenly with the points on itself.
The fourth definition is usually ...
5
votes
1answer
187 views
Definition of ordinal multiplication
The ordinal multiplication $\cdot$ can be defined recursively via ordinal addition $+$ for any ordinal $\alpha$ as follows:
$\alpha\cdot 0=0$.
$\alpha\cdot (\beta+1)=\alpha\cdot \beta+\alpha$ for any ...
