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 Yearling
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May
25
comment Complex plane (Show that triangle is right-angled)
Plotted in LaTeX using the Tikz package.
May
25
answered Complex plane (Show that triangle is right-angled)
Mar
16
awarded  Yearling
Dec
9
awarded  Caucus
Nov
4
comment Monotonicity of the function in some near interval of a local maximum critical point
@iMath If that is your definition then a constant function, e.g. $f(x) = 5$ has a local maximum at every point (since there are no nearby values greater than $5$) but it's not increasing or decreasing (depending on your definition of increasing and decreasing).
Nov
3
answered Monotonicity of the function in some near interval of a local maximum critical point
Sep
30
awarded  Explainer
Sep
26
revised differentiating a function of a function $w=\sqrt{u^2+v^2}$
This is not a question about differential equations - retagged.
Sep
26
suggested approved edit on differentiating a function of a function $w=\sqrt{u^2+v^2}$
Sep
5
awarded  Nice Answer
Aug
4
comment Why is $f(x)=\sin (2x-\pi)$ the same as $g(x)=-\sin(2x)$?
@user50224 Look at my comment on your original posting.
Aug
4
comment Why is $f(x)=\sin (2x-\pi)$ the same as $g(x)=-\sin(2x)$?
Step E: If you move $\sin(2x)$ by $\pi$ you get $\sin(2(x - \pi)) = \sin(2x - 2\pi) = \sin(2x)$. What you have actually done is moved it right by $\pi/2$ which is only half a period, hence the negative.
Jun
13
comment how do we interpret this integral from polar co-ordinates
@DavidH For what it's worth, I'm pretty sure he wants your interpretation of the integral.
Jun
13
comment how do we interpret this integral from polar co-ordinates
@DavidH Indeed. I did ask in the comments what he intended but he was adamant they were the same $r$.
Jun
13
answered how do we interpret this integral from polar co-ordinates
Jun
13
comment how do we interpret this integral from polar co-ordinates
Should this really be $dr$?(and not $ds$?)
May
12
comment Numerical one-step method: initial value and non consistent method
I think your explanation is good.
Apr
29
comment How can I show that ~ is an equivalence relation such that $x$~$y$ if there is a continuous path in $M$ from $x$ to $y$?
@1950RobertLewis I understand he's not a great guy, but he makes great tools. My username should really be "in_wolfram_alpha_we_trust"
Apr
29
comment How can I show that ~ is an equivalence relation such that $x$~$y$ if there is a continuous path in $M$ from $x$ to $y$?
@1950RobertLewis Who would you have me follow? :P
Apr
29
comment How can I show that ~ is an equivalence relation such that $x$~$y$ if there is a continuous path in $M$ from $x$ to $y$?
What is the definition of an equivalence relation? What properties should it satisfy? How can we show that this relation satisfies these properties?