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1d
comment Express Kirchoff's first law using power flow.
The sum of currents flowing into a junction node equals the sum of currents leaving the node. But the directions are different. Therefore, you have to use opposite signs.
Jan
17
awarded  Yearling
Jan
16
answered Permutations - n people and n seats
Jan
15
comment Re-arranging matrices/vectors
Your equation is not linear. It contains squares and products of variables. I don't see how this could be transformed in a linear equation. Check how a product of a matrix and a vector can result in a scalar $1$.
Jan
6
comment Using Binomial coefficient to solve a problem with unfair coins
Yes. If you always but the coin back into the bag after flipping, the coin mixture and thus the flipping probability stay constant.
Jan
6
comment Using Binomial coefficient to solve a problem with unfair coins
If you draw a fair coin first, you increase the percentage of unfair coins remaining in your bag. Therefore, the subsequent probability of head flips is increased. The probability of flipping a head is/remains dependent of the type of coin.
Jan
6
comment How many ways to tie $2$ ropes so that we do not have a loop
I would translate "not having any loop" to "not having more than one loop" or "having exactly one big loop". A loop-less construction would require two unconnected rope-ends.
Jan
6
revised Using Binomial coefficient to solve a problem with unfair coins
added 205 characters in body
Jan
6
answered Using Binomial coefficient to solve a problem with unfair coins
Dec
19
awarded  Constituent
Dec
13
comment Optimization of a function
The usual way is to analyze where the partial derivatives are zero. If there is no (visible) analytical solution, a numerical solution might be sufficient. Make sure that you don't get stuck in a local optimum. The numerical values sometimes help to discover the analytical solution not seen in the first place.
Dec
12
awarded  Revival
Dec
12
revised Write the following Boolean expression in product of sums form?
fixed a bug in last expression
Dec
11
answered Boolean algebra - cube - minimal disjunctive normal form
Dec
11
answered Write the following Boolean expression in product of sums form?
Dec
11
answered Boolean algebra: Minimizing a product of sums expression?
Dec
11
comment simply boolean expression into 4 literals
$A'B'$ is equivalent to $(A \lor B)'$. $A' \lor B'$ is equivalent to $(AB)'$.
Dec
11
answered Simplifying Boolean Function with Karnaugh Map
Dec
11
answered Simplying Boolean-Logic Expression
Dec
10
revised Just a proof of algebra
added 36 characters in body