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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? 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