@@ End of Day Wrap Fri 3/4/15 Sydney, Australia Time 11:30 pm ♪ ♫
Good Evening,
Answer credits today are given to Alan, Civonamzuk, TayJay, MathMath, Geno3141, CPhill and CowgirlAMS. A big thank you to each of you.
It is Good Friday. :) For Christians this day has great religious importance. I wish you all a very happy Easter :)
Interest posts:
CPhill recommended a couple of these, thank you Chris. I really encourage other people to nominate questions too. So if you see a really interesting question or answer, even if it is your own, please send me the address by private message. I will be thrilled to receive your recomendation.
FTJ means "For the Juniors"
1) Using remainder theorem with polynomials Thanks CPhill and Melody
2) Visualizing in 3D painted cube Thanks Geno.
3) Simultaneous Equation - making sense of words Thanks Alan
4) Tricky ratio question. Thanks Geno3141
5) This looks like a good counting one FTJ Thanks Geno
6) A tricky year 8 function question. :/ Geno
7) Angular velocity - for everyone Thanks CPhill
8) Finding the factors of quadratics Thanks CPhill and Melody
♫♪ ♪ ♫ ♬ ♬ MELODY ♬ ♬ ♫♪ ♪ ♫
Sat 4/4/15
FTJ means "For the Juniors"
1) Rosala's new funnies Thanks Rosala
2) I am getting tired and i like this question. Melody and anon.
3) Proof: Algebraic Fractions Melody
4) Variations on a counting exercise Thanks Alan, Bertie, CPhill and Melody.
5) Eggs and chickens and days Thanks Civonamzuk, Melody and anon.
6) Probability/counting Cards this time Thanks CPhill
7) Another counting problem 1 Thanks Alan
8) And another probability one Thanks Geno
9) Trig equation Thanks Geno
10) Using remainder theorem Melody.
♫♪ ♪ ♫ ♬ ♬ MELODY ♬ ♬ ♫♪ ♪ ♫
The partition function is defined as the number of k-element partitions of N.
In this case, the b***s are the k-element and the boxes are N.
Partitions of 4 constraint of 3. Sometimes denoted as Part(4,3)
$$\displaystyle \text {List: Part(4,k)}
4=4
2+2=4
2+1+1 = 4 \leftarrow \text {This is the only solution}
1+3=4$$
There is only one (1) way to Partition 4 b***s into 3 boxes
Wolframalpha scripted link :
http://www.wolframalpha.com/input/?i=partitions+of+4+into+3+parts
Wolfram script: “partitions of 4 into 3 parts"
Wolframalpha will return the count and list the partition distributions.