Reputation
24,566
Next tag badge:
85/100 score
64/20 answers
Badges
3 44 83
Newest
 Good Answer
Impact
~515k people reached

Jul
2
reviewed No Action Needed All right angles are equal to each other
Jul
2
comment How to scale a 2D vector and keep direction
You may always comment on your own questions, regardless of reputation.
Jul
2
comment Which harvard course should I take?
As with any university-specific curriculum questions, the only proper answer is "speak to your departmental adviser."
Jun
30
comment Why the Householder matrix is orthogonal?
N.B. -- It's "Householder matrix", named after Alston Scott Householder
Jun
29
awarded  Good Answer
Jun
24
reviewed Leave Closed How do you avoid getting rusty at applied math after univeristy
Jun
23
reviewed Looks OK Integrals of Pullbacks
Jun
18
reviewed Looks OK Evaluate the double sum $\sum_{m=1}^{\infty}\sum_{n=1}^{m-1}\frac{ 1}{m n\left(m^2-n^2\right)^2}$
Jun
8
reviewed Looks OK How can I solve $\int \sqrt{x}^\sqrt{x}dx$
Jun
3
awarded  Enlightened
Jun
3
awarded  Nice Answer
Jun
3
answered Work Problem that deals with Number of Men, Days, Leaving
Jun
2
reviewed No Action Needed Is it possible to create a completely random integer between 1 and 13 using standard dice in a D&D dice kit?
Jun
2
comment How can you show Godel's incompleteness theorem using mathematical symbols?
I love that you have this just sitting around, waiting for an application.
Jun
2
comment Statistics: Why doesn't the probability of an accurate medical test equal the probability of you having disease?
@MuhammadUmer As you have phrased them, Q3 and Q4 are the same. But your four questions are not my four questions. You are focusing on the question "what is the probability the test is accurate." But this question encompasses two possible outcomes: 1.) the test is negative and the person has no disease; 2.) the test is positive and the person has the disease. We have to explore both of these conditions.
Jun
2
reviewed No Action Needed Find the measure of the central angle with a radius of $13$ inches and the area of a sector measuring $42.25\pi$ square inches.
Jun
2
comment If I have a diagonal matrix, is it necessarily the product of two other diagonal matrices?
Trivially, $AA^{-1} = I$ for all invertible square matrices $A$.
Jun
2
comment Statistics: Why doesn't the probability of an accurate medical test equal the probability of you having disease?
@anonymous user suggesting an edit: while replacing "and" with "but" in bullet points #2 and #3 would be more grammatically correct, I deliberately chose to use "and" because of the mathematical connotation it carries when linking intuition to Bayes Theorem. Remember, we have things like "probability of A and Not B", etc. in the statement of the theorem. We don't typically use "but".
Jun
2
reviewed Reject Statistics: Why doesn't the probability of an accurate medical test equal the probability of you having disease?
Jun
2
comment Statistics: Why doesn't the probability of an accurate medical test equal the probability of you having disease?
@MuhammadUmer The likelihood depends on the accuracy of the test. Instead of asking "what is the likelihood that this person has a disease," we ask, "given that a test was positive, what is the likelihood that this person has a disease?" Asking the latter question gives us a more accurate, but not entirely accurate picture. The conditional probability answers the question: "what is the likelihood that a person both has a disease and tests positive for the disease," which is the question that we actually want answered.