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Jan
14
comment Compute the angle between a line and a plane if the line forms the angles of 45 degrees and 60 degrees with two perpendicular lines lying in the plane
Possible hint: if you have two perpendicular lines in a plane, you can regard them as the x and y axes of a Cartesian coordinate system.
Jan
14
comment Calculating Down Range and Cross Range Coordinates
Cosine is an even function. The cosine of 45 degrees is the same as the cosine of -45 degrees. You may be computing it wrong in the negative case.
Jan
13
comment Stochastic Convergence
math.stackexchange.com/questions/837902/…
Jan
12
comment Stochastic Convergence
Given any finite series of numbers, there exists a polynomial p such that p(1), p(2), p(3), ... generates those series of numbers. Is that what you're looking for?
Jan
12
comment Least squares problem: am I solving it correctly?
OK, I think I'm misunderstanding the question. To me, least squares means you are given fewer equations than variables and you have to maximize some sort of function within those constraints.
Jan
12
comment Calculating Down Range and Cross Range Coordinates
What results do you get and what results does the model get?
Jan
11
comment Calculating Down Range and Cross Range Coordinates
At first glance, this looks ok to me. Why do you think it's wrong?
Jan
11
comment Least squares problem: am I solving it correctly?
Trick question: the system is inconsistent (if I'm understanding correctly)
Jan
10
comment Probability of having 2 cards in hand knowing the probability of having 1
But if you see a 'ONE' card in the opponent's hand, isn't it more likely he has 2 'ONE' cards than having only 1 'ONE' card?
Jan
10
comment Probability of having 2 cards in hand knowing the probability of having 1
Yes, I deleted my comment after I saw yours. This sounds suspiciously like the "chance of having two boys if it's known they have at least one boy" problem.
Jan
10
comment Advanced Algebraic Equation - Solve for P
Converting my "answer" to a comment completely ruined the formatting :(
Jan
10
comment What can you say about interior points of a non empty subset of real numbers?
Are you sure you don't mean "boundary points" and not "interior points"?
Jan
10
comment How to prove ceiling and floor inequality more 'formally'?
If you can show Ceiling[x]-Floor[x] = 1, the rest of the proof should follow easily.
Jan
10
comment Advanced Algebraic Equation - Solve for P
Not an answer, but, just so you know, Mathematica doesn't appear to be able to solve it either: In[25]:= Solve[(P/(L-P))^K * ((P-K)/P)^L == AExp[KT]*(L*K)*(L-K),P,Reals] Solve::nsmet: This system cannot be solved with the methods available to Solve. P K -K + P L K T Out[25]= Solve[(-----) (------) == A E K L (-K + L), P, Reals] L - P P If you take the log of both sides, you get: $k (\log (p)-\log (l-p))+l (\log (p-k)-\log (p))=c+\log (l-k)+k t+\log (k)+\log (l)$ but Mathematica can't solve that either...
Jan
9
comment Combinatorics/variation dinner problem
@trueblueanil Doesn't your count prohibit a couple from sitting in seats 7 and 2? These are adjacent in your sequence, but not opposite each other.
Jan
9
comment Combinatorics/variation dinner problem
I think oeis.org/A189849 is actually the correct sequence, but still looking into this.
Jan
9
comment Combinatorics/variation dinner problem
You're right. I still think the fact it's a rectangle (or circle) makes a difference though.
Jan
9
comment Problem about $n$ couples sitting at a round table
Linking math.stackexchange.com/questions/1604940
Jan
9
comment Combinatorics/variation dinner problem
I dislike this answer: suppose one member of a couple is seated in position 1 and the other is seated in position 12. If in a row, they are not next to each other. At a rectangular table, however, they are. Linking math.stackexchange.com/questions/1125114
Jan
9
revised Combinatorics/variation dinner problem
answer is wrong