#Entropi er en viktig forutsetning for at #kryptografi skal fungere. Slurv kan gjøre at #Fermat s metode for å finne primtall som ligger nære hverandre kan brukes til å knekke krypteringsnøkler https://www.digi.no/artikler/379-ar-gammel-metode-knekker-moderne-krypteringsnokler/518154 #sikkerhet

If #Fermat used #mastodon he'd have said:

x^n + y^n = z^n has no integer solutions for n > 2.

I have a truly remarkable proof of this statement, but 500 char limit of mastodon is too short to contain it.

#FermatLastTheorem #Math

If #Fermat used #mastodon he'd have said:

x^n + y^n = z^n has no integer solutions for n > 2.

I have a truly remarkable proof of this statement, but 500 char limit of mastodon is too short to contain it.

#FermatLastTheorem #Math

#OnThisDay British #Mathematician Andrew Wiles proved last #Theorem of #Fermat (1993).

Birth Anniversary of #French #Philosopher Jean-Paul Sartre (1905) - one of the leading figures in 20th-century French philosophy and Marxism.

Today is World #MusicDay, International Day of #Yoga and World #Hydrography Day.

https://knowledgezone.co.in/news

Sorry for the delay @AndriusKulikauskas on the Peace in Ukraine podcast. I’ve been temporarily obsessed with #Fermat’s last theorem while teaching myself Python but I feel like I’ve solved that now. So on with the show!

FYI
c^n = sin(θ)a^n + sin(θ)b^n

# Python
# @taatm
#Fermat, #Pythagorus and TAATM
# Things we know
# Relationship of sides in a right angle triangle
# c**2 = a**2 + b**2
# This triangle is true but only one value of n prduces a right angle
# c**n = a**n + b**n
# The area of a triangle
# 1/2bc sin(A)
# where sides b & c are the same you can write bb or b**2
# so the area of triangle is 1/2b**2 sin(A)
# as the two sides of the triangle are the same, we can make square by adding anthoer one on top AKA doubling it
# the area of a square is therefore
# b**2sin(A)
# applying this to both sides of Pythagorus we therefore get the relationship
# n n n
# c = sin(θ)a + sin(θ)b
# And so I think Fermat, if knowing this, would conclude that Pythagous to the n can't work as thats not the relationship. Its a trick where the right angle provides a multiplier of 1.

import math

# Variables
n=4
a=3
b=4

# Pythagorus gives us c and allows a ratio
c=math.sqrt(a**2+b**2)

# the ratio can be used to find theta
known_ratio = c**n/(a**n+b**n)

theta = math.asin(known_ratio-1)
# The -1 is just to make the maths easier with arc sine and will be put back later, the true angle is function of pi

# Handy Derivatives
a2b2 = a**2+b**2
anbn = a**n+b**n
cn = c**n

print (a, b, c)
print (anbn, cn)
print (known_ratio, known_ratio * (a**n + b**n))
print (math.sin(theta) + 1, (math.sin(theta) + 1) * (anbn))
# The 1 that was taken out is added back in.
# The fun part will be finding theta from pi.

#Langlands - The Biggest Project in Modern #Mathematics

https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine

#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof

Vandaag is de 70ste verjaardag van Andrew Wiles. In 2016 won hij de Abelprijs voor zijn bewijs van de laatste stelling van Fermat. Hij was toen de jongste Abelprijswinnaar ooit.
#andrewwiles #abelprize #fermat https://www.nrc.nl/nieuws/2016/03/17/wederopstanding-van-een-bewijs-1599430-a1092174

Happy birthday to French mathematician, physicist and philosopher Marie-Sophie Germain (1776 – 1831), known as Sophie. She taught herself mathematics using books in her father's library and by corresponding with leading mathematicians of her day, including Lagrange, Legendre and Gauss, …

#linocut #printmaking #sciart #mathart #SophieGermain #ChladniFigures #mathematician #Fermat #womenInSTEM #physicist #elasticity #Gauss #histstm #printmaker #ReliefPrint #WomensHistoryMonth

@AndriusKulikauskas
#Fermat has a point. The #Pythagoras trick uses a right angle triangle, a square relationship so the formula is basically taking a shortcut, the trick, therefore can only work squared.

The #math relationship (in rads) appears to be

a^sin(π/(2(n-1)) = b^n + c^n

or there about.

@AndriusKulikauskas Another #Maths question please.

We know a^2 +b^2=c^2 because it draws out a triangle. Why do people expect ^3 to work? It seems like it’s human pattern recognition being applied to the words rather than the shape.

Going up a power is going up a dimension so it needs to draw out a volume, so the formula is
aaa = abb = acc
Or
a^3 = ab^2 + ac^2

Up a dimension again is
aaaa = aabb + aacc
then
aaaaa = aaabb + aaacc

So the formula is
a^x.a^2 = a^x.b^2 + a^x.c^2

Increasing all the powers is just breaking the laws of physics.

Thanks

#Pythagoras #Fermat

In 1662, Pierre de Fermat claimed rays of light from an object travel through multiple paths to the focus point of a lens in the same time. #Poetry #Science #History #Optics #Fermat (https://sharpgiving.com/thebookofscience/items/p1662b.html)

In 1654, letters between Blaise Pascal and Pierre de Fermat established the basis of probability theory. #Poetry #Science #History #Mathematics #ProbabilityTheory #Pascal #Fermat (https://sharpgiving.com/thebookofscience/items/p1654.html)

Sul numero 50(!) di #Prisma in tutte le edicole questo mese andhe un mio pezzo su diletto e vanità nella #matematica barocca, prendendo a esempio Pierre de #Fermat https://www.prismamagazine.it/prodotto/numero-50-marzo-2023-formato-pdf/

1662: Pierre de Fermat claimed rays of light from an object travel through multiple paths to the focus point of a lens in the same time. #Poetry #Science #History #Optics #Fermat (https://sharpgiving.com/thebookofscience/items/p1662b.html)

"Fermat’s Last Theorem: The Problem That Defied the Greatest Minds" by Rahul Bhujel
🔗 https://www.cantorsparadise.com/fermats-last-theorem-the-problem-that-defied-the-greatest-minds-c322d7c7ca28

#LastTheorem #Fermat #NumberTheory #AndrewWiles #GreatestMinds #CantorsParadise #Mathematics

It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career is too small to contain.

#fermat #variation #iactuallydohaveatheory

@deankarrier Noooooooooooooooo I really won't, OP.

I have reasons. #Marbelous #reasons.

Yet!

For reasons too small to contain in this elaborately #spacious and #bountiful character limit with #room for all of this and how much #time could #Fermat have saved all of us Humans and other Math Users if only he knew a little #user #interface #design #principles.

We could be #tripping around the #solarsystem by now #inTheFlesh.

Ouahhh, la vidéo la plus satisfaisante que j'aie visionnée depuis un bail ! https://www.youtube.com/watch?v=EcPPjZVB2vA #fermat #wiles #gödel

RT @marianotomatis@twitter.com

#Libero di domenica scorsa dedica un'intera pagina alla presunta dimostrazione dell'ultimo teorema di #Fermat: è fuffa totale, ma l'autorə ha pagato per pubblicare dunque tutto bene, madama la marchesa (I.P. in alto a destra sta per Informazione Pubblicitaria) >

🐦🔗: https://twitter.com/marianotomatis/status/1392152226110521345