Reputation
4,158
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
Badges
3 10 24
Newest
 Yearling
Impact
~267k people reached

1d
comment Absolute value graph sketching
You still have the word "reflection" in the very first line.
1d
awarded  Yearling
1d
comment Absolute value graph sketching
Please listen to user2357112 and don't use the word "reflection" because "reflection" has a specific meaning in math which is different from what you want it to mean in this answer. Somebody at the level of the OP could become terribly confused.
Mar
14
comment Is linear algebra laying the foundation for something important?
@lisyarus Not just sparse but dense matrix calculations too. Imagine using finite element on a volume of space and finding out that the resulting matrix is sparse but absolutely ginormous. Then you use the boundary element method to reduce the problem by a dimension so now you have a smaller matrix but it is dense.
Mar
13
comment How to tell what dimension an object is?
You are probably thinking of a disc. A disc is a circle including the area inside the boundary. A circle is just the curved line which forms the boundary of the disk. The circle is 1D while the disk is 2D. Another way to think of dimension is how many degrees of freedom you have in your movement if you were stuck in a circle or a disk. If I was confined to living on a circle, then at any point on the circle, I have only one degree of freedom. I can move "left" or "right". But if I was living in a disk, I can move left/right or I can move up/down so I have two degrees of freedom.
Dec
9
awarded  Enlightened
Dec
9
awarded  Nice Answer
Oct
18
comment Complexity of computing $ABx$ depends on the order of multiplication
+1 Wow, never thought about it this way. Makes sense!
Jun
21
awarded  Nice Answer
Jun
5
awarded  Good Answer
Jun
1
comment Real world application of Fourier series
@AreaMan I was talking about the decrease in the magnitude of fourier coefficients. Basically, the smoother the function is, the faster the fourier coefficients will decrease in magnitude and hence we need fewer terms to approximate the original function well.
Apr
30
awarded  Yearling
Jan
16
comment How to calculate the approximate zero of any polynomial function without Newton's Method?
@Xoque55 Newton's method can work for $x^2+1=0$ if your starting point has a nonzero imaginary part.
Jan
8
awarded  Famous Question
Jan
4
awarded  Popular Question
Dec
17
answered What are some applications of elementary linear algebra outside of math?
Oct
29
accepted How to fill in these steps to evaluate this Gaussian integral?
Sep
23
comment Really advanced techniques of integration (definite or indefinite)
+1 Risch's algorithm has a 100 page summary. Talk about an advanced technique.
Sep
4
accepted Transforming a nonlinear system to a linear system
Sep
4
comment Transforming a nonlinear system to a linear system
It is part of a much larger nonlinear regression problem. But this can also stand alone on its own. I have three points and I want to determine $a$, $b$, and $c$ so that the Lorentzian curve goes through those three points. If I solve the nonlinear system, I need iterative methods and a starting value. I am trying to see if I can transform it into a linear system and then use a direct linear solver without an initial value.