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Jan
25
awarded  Nice Answer
Dec
14
awarded  Yearling
Nov
27
answered Finding Velocity and Distance Formula from Integral of Acceleration
Oct
20
answered What is the use of Calculus?
Sep
9
answered Choose a proper basis
Aug
21
comment Why are Runge Kutta's method and Euler's so different?
Did you mean $\underline {\dot x}=\underline A\cdot \underline x$?
May
21
answered Matrix notation in handwriting
Apr
28
comment Drawing an arc within two defined points in C graphics
How are a, b, c, d related to the location of the arc? Are the two lines always vertical? How long are the lines?
Apr
25
comment Simplifying a Complex Number
You should be familiar with Euler's Formula: $e^{ix}=\cos x + i \sin x$ which is periodic. So then $e^{ix} = e^{i(x\pm 2n\pi)}$ where $n \in \mathbb Z$. So then, $e^{ i \frac{2014\pi}{12}} = e^{ i(166\pi+ \frac{22\pi}{12})} = e^{ i \frac{22\pi}{12}}= e^{ i \frac{11\pi}{6}} = e^{- i \frac{\pi}{6}} $
Apr
24
answered Simplifying a Complex Number
Apr
18
answered Geometric and algebraic aspects of geometric vectors
Apr
17
comment Integral identity involving sin(x)/x
What is there to prove? A more proper question would be to ask how to integrate the right hand side if that is what you are trying to figure out.
Apr
16
comment Integral identity involving sin(x)/x
It is not terribly suprising that two definite integrals are related to each other by a constant scale factor. I would expect nothing less.
Apr
11
revised Can some one help me parametrize $\frac{x^4}{a^4}+\frac{y^4}{b^4}+\frac{z^4}{c^4}=1$
deleted 8 characters in body
Apr
11
comment Can some one help me parametrize $\frac{x^4}{a^4}+\frac{y^4}{b^4}+\frac{z^4}{c^4}=1$
Your'e right, it is a sphere.
Apr
11
answered Can some one help me parametrize $\frac{x^4}{a^4}+\frac{y^4}{b^4}+\frac{z^4}{c^4}=1$
Apr
3
comment SVM and quadratic programming
SVM does reduce to a QP problem in the dual form. There are plenty of resources out there to explain it. To handle b you would add a 1 line, not a zero line.
Apr
3
comment Matrix properties invariant under scalar multiplication
Column space, row space, null space, left null space, eigen vectors, rank, to name a few.
Apr
1
answered Interpolate/Increment Vector Rotation
Mar
31
comment Finding the area of the triangle with vertices at $(ct, c/t)$, $(-ct, -c/t)$, $(ct^{2}, 2ct)$
The reference that you found is an interesting approach. It uses the same principle except it works in 3D space. The thinking goes like this. You are constructing your triangle in 3D space by adding $z=1$ as a third coordinate. So your triangle is floating in space in the horizontal plane $z=1$. You then compute the volume of the parallelepiped (denote as $V_P = D_3$). In the same construction you can create a tetrahedron (i.e. pyramid) by connecting your vertices to the origin. The volume of this is $V_T=1/3(1)A_T$. It is known that $V_P=6V_T =6(1/3A_T) $, so we get $A_T = 1/2D_3$.