Need help in converting this Regular Expression to Epsilon NFA
good day, can someone help me in converting this regular expression? $(1*00^+)*$ I know how to convert a regular expression to Epsilon Finite Automata but...
Apr 11, 2026 1 VIEWS
Topic: General
5104 Articles 
Integrating $\sin 2x \cos 2x$
I am having trouble solving the following: $$\int \sin2x\cos2x\,dx$$ I understand an easy way of going about this is using the trig identity $\sin2x = 2\s...
Apr 11, 2026 1 VIEWS
Difference between "undefined" and "does not exist"
What is the difference between the terms "undefined" and "does not exist", especially in the context of differential calculus? Most calculus materials sta...
Apr 11, 2026 1 VIEWS
What is special about the numbers 9801, 998001, 99980001 ..?
Just saw this post, and realized that 1/9801 = 0.(
Apr 11, 2026 2 VIEWS
what is the difference between product and sum of groups?
The direct product of two groups equals their direct sum. What is the difference in the case of infinite product and sum?
Apr 11, 2026 2 VIEWS
What is the difference between exponent, power and index?
I have read that, if $$b=a\times a\times a\times \cdots \times a \text{ ($n$ times})$$ then $$b=a^n$$ where $b$ is known as the base, $n$ as the index or ...
Apr 11, 2026 1 VIEWS
Is this a circular proof of Pythagorean Theorem? If not, are there better ones? [duplicate]
I found this proof of Pythagorean Theorem from what 3Blue1Brown shows in his Lockdown math lecture "Trigonometry Fundamentals": In the following...
Apr 11, 2026 1 VIEWS
Definition and statistics of the Negative-Hypergeometric distribution
The Encyclopedia of Mathematics defines the Negative Hypergeometric distribution (NHG) in the following way: There are $N$ elements, of which $M$ are mark...
Apr 11, 2026 1 VIEWS
Does unique mean "at most one" or "exactly one"?
This is a bit of a soft question, but what does or should "unique" mean? Does it mean "at most one" or "exactly one"? I have...
Apr 11, 2026 1 VIEWS
Alternating tensor definition
I am working through a book (Random Fields and Geometry) which contains the following definitions. A covariant tensor $\gamma$ of order $k$ (a $(k,0)$-ten...
Apr 11, 2026 1 VIEWS
"Root of an equation" vs "Root of a function"
I realize that various sources do not differentiate the use of the word root for both equations and functions. Should their usage need a revision? I other...
Apr 11, 2026 1 VIEWS
Trying to understand the limit of regular polygons: circle vs apeirogon (vs infinigon?)
In the definition of regular polygon at the Wikipedia, there is this statement about the limit of a n-gon: "In the limit, a sequence of regular polygons w...
Apr 11, 2026 1 VIEWS