myko
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Questions Asked

myko:
Group Title
How would I solve this integral?
 updated one year ago
 12 replies
 4 Medals
Mathematics

myko:
Group Title
Need help with an integral. Comming in the comments...
 updated one year ago
 7 replies
 No Medals Yet
Mathematics

myko:
Group Title
prove that:\ [\arg \left(\frac{z_{3}z_{2}}{z_{3}z_{1}}\right) = \frac{1}{2} \arg\left(\frac{z_{2}}{z_{1}}\right)]\
if \[\z_{1}=z_{2}…
 updated one year ago
 13 replies
 4 Medals
Mathematics

myko:
Group Title
Challenging problem, :)
Construct a continuous and differentiable function of real variable that vanishes outside the interval (a,b).
Com…
 updated one year ago
 38 replies
 3 Medals
Mathematics

myko:
Group Title
Prove that any complex number with modulus 1 (exept 1) can be represented in the form: (1+it)/(1it) where t is a real
 updated one year ago
 13 replies
 4 Medals
Mathematics

myko:
Group Title
expression for nth derivative of e^x^2
 updated one year ago
 11 replies
 1 Medal
Mathematics

myko:
Group Title
How would you integarte this:
 updated one year ago
 24 replies
 4 Medals
Mathematics

myko:
Group Title
\begin a_11 \end
 updated 2 years ago
 No Medals Yet
Mathematics

myko:
Group Title
Can someone in words explain the difference between line of curvature and geodesic line of curvature
 updated 2 years ago
 28 replies
 1 Medal
Mathematics

myko:
Group Title
solve
\[\int\limits_{0}^{b} \sqrt{12\cos \theta}d \theta \]
 updated 2 years ago
 14 replies
 1 Medal
Mathematics

myko:
Group Title
Find the vertices of :
\[x ^{4}+y ^{4}=1\]
vertices is:point where derivative of kurvature is 0
 updated 2 years ago
 34 replies
 2 Medals
Mathematics

myko:
Group Title
Need some help.....
Can saomeone explain, plz, why if L(z) is a Möbius transformation
\[L'(\infty) =  (adbc)/c ^{2}\]
 updated 2 years ago
 14 replies
 2 Medals
Mathematics

myko:
Group Title
Can someone check if this is ok.
I need to find the locus of points x^2+y^2=ax in a complex plane after the 1/z transformation.
…
 updated 2 years ago
 23 replies
 3 Medals
Mathematics

myko:
Group Title
What is the relation satisfied by two ponts z1,z2 which are the images under stereographic projection of a pair of diametrically opposite po…
 updated 2 years ago
 13 replies
 2 Medals
Mathematics

myko:
Group Title
prove that the Möbius transformation is a sequence of 4 more simple transformations involving 2 translations, inversion/reflection,dilatati…
 updated 2 years ago
 3 replies
 1 Medal
Mathematics

myko:
Group Title
How would you prove this?
Given an arbitrary set E, a point z of E is said to be isolated if z is not a limit point of z. Prove that the se…
 updated 2 years ago
 4 replies
 No Medals Yet
Mathematics

myko:
Group Title
Prove that if \[z _{n}\rightarrow A \] as\[x \rightarrow \infty\] then \[\lim_{n \rightarrow \infty}(z _{1}+...+z _{n})/n = A\]
 updated 2 years ago
 5 replies
 3 Medals
Mathematics

myko:
Group Title
prove that if the series \[\sum_{n=1}^{\infty}z _{n}\] converges absolutley, so does the series
\[\sum_{n=1}^{\infty}z _{n}^2\]
 updated 2 years ago
 10 replies
 1 Medal
Mathematics

myko:
Group Title
Can someone check if this is right:
Need to prove that the sum of distinct nth roots of unity is equal 0.
Looks to simple to me....
…
 updated 2 years ago
 7 replies
 2 Medals
Mathematics

myko:
Group Title
Who takes the chalange?
Prove that the sum of all distinct nth roots of unity is 0.
 updated 2 years ago
 7 replies
 No Medals Yet
Mathematics

myko:
Group Title
Nobody can help me. This question is here like for 1 hour:
Locus of points z:
z2z+2>3
 updated 2 years ago
 30 replies
 1 Medal
Mathematics

myko:
Group Title
Locus of points z:
z2z+2>3
 updated 2 years ago
 No Medals Yet
Mathematics

myko:
Group Title
Prove that if z1 +z2 +z3 =0 and z1=z2=z3 =1, then this points are the vertices of an equilateral triangle inscribed in the unit circle…
 updated 2 years ago
 12 replies
 2 Medals
Mathematics

myko:
Group Title
Plz really need help!!!!
Interpret it geometricly:
\[z_{1}+z_{2}^{2}+z_{1}z_{2}^{2}=2(z_{1}^{2}+z_{2}^{2})\]
…
 updated 2 years ago
 1 reply
 No Medals Yet
Mathematics

myko:
Group Title
Interpret it geometricly:
\[z_{1}+z_{2}^{2}+z_{1}z_{2}^{2}=2(z_{1}^{2}+z_{2}^{2})\]
 updated 2 years ago
 No Medals Yet
Mathematics

myko:
Group Title
interpret geometricly
\[z_{1}^{2}+z_{2}^{2}+z_{1}^{2}z_{2}^{2}=2(z_{1}^{2}+z_{2}^{2})\]
 updated 2 years ago
 25 replies
 1 Medal
Mathematics

myko:
Group Title
Suppose that a complex number u is obtained as a result of a finite number of rational operations applied to the complex numbers z1,z2,z3,…
 updated 2 years ago
 28 replies
 2 Medals
Mathematics

myko:
Group Title
Plz some one help!!!
Part a: Constract an infinitely differentiable function which vanishes outside a given finite interval [a,b].
Hint: C…
 updated 2 years ago
 15 replies
 2 Medals
Mathematics

myko:
Group Title
Can someone explain why x = sqrtx^2
 updated 2 years ago
 74 replies
 3 Medals
Mathematics