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Jul
28
revised Methods to solve differential equations
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Jul
28
revised Methods to solve differential equations
added 755 characters in body
Jul
28
answered Methods to solve differential equations
Jul
28
comment Methods to solve differential equations
I guess that we can do so, is guaranteed by the fundamental theorem of calculus involving Riemann Sums, showing that they are equivalent to the integral and that integration is inverse of differentiation.
Jul
27
comment How to make notes when learning a new topic
I have tried taking notes in LaTeX and unless you are taking lecture notes, which is mostly text and formatting, it is not really worth it. I never have been able to take lecture notes myself however. Though, some people have been apparently very successful. I also have a very bad handwriting, so I get what you are saying, but it (Live-TeXing) has been a big failure for me. mathoverflow.net/questions/12638/…
Jul
27
comment Is there a bijection between mathematical structures and morphisms that preserve this structures forming a category?
Just for clarification, since I am also new to the field. The OP is suggesting that we create a set $A$ of all the structures and set $B$ of all the morphisms and then show that there is a one-to-one correspondence between $A$ and $B$ right?
Jul
26
revised Approximate solution for the root of a non-linear function
added 10 characters in body
Jul
26
revised Approximate solution for the root of a non-linear function
Some clarifications.
Jul
26
revised Approximate solution for the root of a non-linear function
Added case for $w \ll 1$
Jul
26
answered Approximate solution for the root of a non-linear function
Jul
26
revised How many decimal places are needed for incremental average calculation?
added 8 characters in body
Jul
26
revised How many decimal places are needed for incremental average calculation?
corrected some typos
Jul
25
comment Approximate solution for the root of a non-linear function
Are you trying to solve some problem where you are trying to find out all points in time where a certain system satisfies a particular given property and hence you actually want the time closest to it because it is the next time the event happens or something similar? In this case the property satisfied at the time of happening of event is , \begin{equation} e^{t_1} (g\cos(\omega t_1) + b) = e^{t_0} (g\cos(\omega t_0) + b) \end{equation} Because, basically your problems seems to find out all such events given one particular event.
Jul
25
comment Complete undergraduate bundle-pack
You would be lucky to read all of them in next three years.
Jul
25
awarded  Teacher
Jul
25
answered Complete undergraduate bundle-pack
Jul
25
revised How many decimal places are needed for incremental average calculation?
deleted 8 characters in body
Jul
25
revised How many decimal places are needed for incremental average calculation?
added 286 characters in body
Jul
25
answered How many decimal places are needed for incremental average calculation?
Jul
25
comment How many decimal places are needed for incremental average calculation?
by $d$ decimal digits, you mean, $d$ significant figures right? It would also probably help if you can specify the the smallest allowed exponent, because then we can implement the formula in some special way to make use of the higher exponent available while still requiring only d significant digits For example, I would like the value of $n$ in the following expression and I guess the $d$ which you mention is as I have described. number = $a.a_{1}a_{2}...a_{d} \ \times \ 10^{-n}$