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Jul
28
comment Interview puzzle with a deck of cards, some cards upside-down
An unrelated question, but why are there 53 cards rather than the standard 52?
Jul
28
accepted Expressing Vector Concatenation through linear algebra operations?
Jul
28
comment Rewriting the matrix equation $AX = YB$ as $Y = CX$?
Rewriting this way is not possible in the general case.
Jul
21
comment Expressing Vector Concatenation through linear algebra operations?
Quite creative!
Jul
21
comment Expressing Vector Concatenation through linear algebra operations?
@blue, I am just interested.
Jul
21
asked Expressing Vector Concatenation through linear algebra operations?
Jul
21
comment How do you know that rows are independent and what are the 120 terms?
The rows are dependent. This is mentioned in (a)
Jul
13
answered Explain how assigning n tasks to n persons randomly gives a sample space of n^n?
Jul
11
answered Inductive Proof Algorithm
Jul
11
comment Inductive Proof Algorithm
Your hypothesis does not really make sense. First you observe correctly that $T(n)=\Theta(n)$, which follows directly from the Master Theorem. You are trying to show this inductively, why is your hypothesis $T(n) \le cn\log{n}$? While this is true, you can obtain a tighter bound by hypothesizing $T(n)\le cn$ for an appropriate $c$.
Jul
8
revised Among any three consecutive positive integers one is a multiple of 3
math formatting
Jul
8
suggested suggested edit on Among any three consecutive positive integers one is a multiple of 3
Jul
8
answered Does something that is injective, surjective or bijective imply that it is a function?
Jul
8
comment Finding the $75$th percentile of a distribution.
Right, you will need to find the value of $x$ which splits the area of the right triangle into half. Be careful about using pdf/integral reasoning to solve for this as you did above, since $f(x) = 1-x$ is not a probability distribution over the interval $0<x<1$. Alternatively, you can split the integral over the two domains, and proceed as your first example.
Jul
8
awarded  Yearling
Jul
8
answered Finding the $75$th percentile of a distribution.
Jul
7
revised The Intersection of Ordered Pairs
added math formatting
Jul
7
suggested suggested edit on The Intersection of Ordered Pairs
Jul
6
comment algebraic representation of a line in 3d
Leaving aside formalization for a moment, the equation $y=mx+b$ in 2D can be interpreted as: I will give you $x$ and you can find $y$. In 3D, I will give you $x$, and you need to find $y$ and $z$. Then we can rewrite as follows: $y = \frac{b}{a}(x-x_0)+y_0$, and similarly $z = \frac{c}{a}(x-x_0)+z_0$. This system describes the line using two equations of the desired form, since we are one dimension higher.
Jul
6
answered algebraic representation of a line in 3d