@@ 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.