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May
22
comment How to calculate per unit costs for multiple items
Does 'x' represent a variable or multiplication?
May
19
comment Laplace transform of unit step function
By definition: $f(t) = \begin{cases} t, & \text{$0 \le t \le 1 $} \\ 0, & \text{$1 \lt t \lt \infty$} \\ \end{cases}$
May
19
comment Laplace transform of unit step function
The function is zero for $t>1$. You don't need to integrate it.
May
19
answered Laplace transform of unit step function
May
19
comment Laplace transform of unit step function
Can you use a Laplace transform table? The function above is only useful if you are using a table. Otherwise just integrate from 0 to 1, i.e. $F(s)= \int_0^1e^{-st}tdt$.
May
19
comment Laplace transform of unit step function
The function you want to use is $f(t)=t(u(t)-u(t-1))$.
May
14
comment Gaining Linear Algebra Intuition — Subspaces
This set of lectures helped me a lot: ocw.mit.edu/courses/mathematics/….
May
14
revised Gaining Linear Algebra Intuition — Subspaces
Thought this tag may help clarify OP intent.
May
7
comment Show that exist a rotation $r$ such that $r(u)=v$
Hint: You need the axis-angle representation of a rotation (see: en.wikipedia.org/wiki/Axis_angle). You can use the dot product to find the angle and the cross product to find the axis.
Mar
11
reviewed Approve Double Angle Formula?
Mar
8
reviewed No Action Needed What are the odds of a specific 5 digit combination appearing within an 8 digit combination of numbers in any order/any recurrences from 0-9.
Mar
8
reviewed Approve Why does the following nonlinear system have 21 solutions?
Mar
8
reviewed Approve Is the function $f(x,y) = \sin(\frac{r}{\theta}), f(0,0) = 0$ continous at the point $ (0,0)$?
Feb
27
reviewed Approve Let $T$ be a tree of order $n$. Why is the complement $\neg T$ of $T$ the same size as $K_{n-1}$?
Feb
26
comment Are orthogonal spaces exhaustive, i.e. is every vector in either the column space or its orthogonal complement?
@Ethan, Yes, you are correct that the union (in the formal sense) between the two subspaces is zero. I took the sense of your question at the end of the first paragraph "are there some vectors in $R^n$ which are in neither?" I thought that by using the term union, you intended span.
Feb
26
comment Are orthogonal spaces exhaustive, i.e. is every vector in either the column space or its orthogonal complement?
Yes, see this: en.wikipedia.org/wiki/Fundamental_theorem_of_linear_algebra
Feb
25
comment How To Generate Random Points on the Positive Side of a Plane in 3-D
See my second edit.
Feb
25
revised How To Generate Random Points on the Positive Side of a Plane in 3-D
added 594 characters in body
Feb
25
comment How To Generate Random Points on the Positive Side of a Plane in 3-D
This link tells you how to do it.
Feb
22
reviewed No Action Needed Infinite Sum with Combination