B Happy Christmas: Is it Really True?

George Keeling
Gold Member
Messages
180
Reaction score
41
TL;DR Summary
sine and cosine power trees
Christmas 2021.png

Is this really true? It resembles the binomial theorem.
I've posted it twice which might be breaking rules. Happy Christmas PF.
 
Reply
  • Like
  • Haha
Likes Hamiltonian, jim mcnamara, PeroK and 1 other person
Mathematics news on Phys.org

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »
Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

Merry Christmas vs. Happy Holidays .
Replies
41
Views
7K
B Why is sine not used for dot product?
Replies
4
Views
3K
Photo Contest - Christmas In July (7/6-7/12)
Replies
9
Views
3K
B Adding Sine and Cosine Waves- How to get formula
Replies
6
Views
2K
Photo Contest - O' Christmas Tree, O' Christmas Tree (12/24 - 12/30)
Replies
7
Views
3K
Photo Contest - Christmas Customs and Traditions (12/22-12/28)
Replies
2
Views
2K
Photo Contest - Merry Christmas (12/17-12/23)
Replies
9
Views
4K
How to find sines/cosines without memorization?
Replies
7
Views
2K
Photo Contest - Happy Holidays (12/19-12/25)
Replies
7
Views
2K
PF PHOTO CONTEST Christmas spirit (Dec 13 - 20)
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top