Depo

"The only way to learn mathematics is to do mathematics." -- Paul Halmos (1916–2006)

If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration. - Nikola Tesla

Gauss’s Law looks complicated in textbooks, but the core idea is actually simple. ∮ E·dA = Qenc / ε₀ If a surface contains more electric charge, more electric field passes through it.

φ (Golden Ratio) & π in one geometric view. The diagonal line marks key points: • 1/φ ≈ 0.618034 • 1 • φ ≈ 1.618034 Two unit circles intersect the line while π ≈ 3.141593 sits above the central unit interval. A clean construction linking the two most famous constants in mathematics. This diagram places the irrational numbers φ and π together in the unit square, highlighting their geometric relationship through intersecting circles and a straight line.

@oizodz @ElMontrealito @Footballogue Le parcours de Félix

@ElMontrealito @Footballogue Mdr vasy lui

Roland-Garros 2026 est officiellement devenu 𝗡’𝗜𝗠𝗣𝗢𝗥𝗧𝗘 𝗤𝗨𝗢𝗜. 😭🎾 🇪🇸 Alcaraz forfait avant même le tournoi. 🇮🇹 Sinner éliminé après avoir mené 2 sets à 0. 🇷🇸 Djokovic sorti par Joao Fonseca, 19 ans. Les trois immenses favoris ne sont déjà plus là !!!! 𝗠𝗔𝗜𝗦 𝗤𝗨𝗜 𝗩𝗔 𝗚𝗔𝗚𝗡𝗘𝗥 𝗥𝗢𝗟𝗔𝗡𝗗 𝗚𝗔𝗥𝗥𝗢𝗦 ????

"Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution. It is, strictly speaking, a real factor in scientific research." - Albert Einstein

@ElMontrealito @FrenchRapUS OUAIIIIIIIIISSSSSSSSSS ALLEZ FAA

@FrenchRapUS AUGIER ALIASSIME C'EST TOUT DROIT CETTE ANNÉE

🚨 CE ROLLAND GARROS 2026 EST MAUDIT !!! APRÈS JANNIK SINNER, C’EST LA LÉGENDE NOVAK DJOKOVIC QUI EST ÉLIMINÉ DU TOURNOI DÈS LE 3ÈME TOUR APRÈS UN COMBAT DE 5H 😱 IL A MÊME VOMI SUR LE TERRAIN PENDANT LE MATCH 💔 ❌ BEN SHELTON ❌ JANNIK SINNER ❌ DANIIL MEDVEDEV ❌CARLOS ALCARAZ ❌ NOVAK DJOKOVIC ✅ MOISE KOUAMÉ

François Viète's infinite product formula for π (from 1593) converges to π/2 as the number of nested terms increases.

Arguably the most popular and most used Calculus textbook in the whole world. It doesn't mean it's the best. Far from it. You can start learning Calculus on your own time using a used copy of this textbook. Earlier editions can be found on eBay for around $10-20.

Laplace Transform essentials Definition: L[f(t)] = F(s) = ∫₀^∞ e^{-st} f(t) dt Key formulae: 1. L{1} = 1/s 2. L{tⁿ} = n!/s^{n+1} (n=0,1,2…) 3. L{e^{at}} = 1/(s-a) 4. L{cosh(at)} = s/(s²-a²) 5. L{sinh(at)} = a/(s²-a²) 6. L{sin(at)} = a/(s²+a²) 7. L{cos(at)} = s/(s²+a²) Used daily to solve ODEs, analyse control systems, circuits & signals.

Generating graphs via spectral diffusion is an emerging idea at the intersection of graph theory, stochastic processes, and geometric deep learning. The core principle comes from diffusion dynamics on graphs, often governed by the graph Laplacian: ∂u/∂t = −Lu where L is the graph Laplacian. Spectral methods analyze the eigenvalues and eigenvectors of L, capturing the intrinsic geometry and connectivity structure of complex networks. In machine learning, spectral diffusion is used for graph generation, clustering, manifold learning, and representation learning. In deep learning, Graph Neural Networks (GNNs), diffusion models, and spectral convolution methods use these ideas to propagate information smoothly across nodes while preserving global structure. In reinforcement learning, spectral diffusion helps in state-space exploration, hierarchical planning, and learning over relational environments. Diffusion-based exploration strategies can reveal hidden connectivity patterns in large decision spaces. The deeper insight is that learning on graphs is not just about nodes and edges — it is about understanding how information flows through structure over time. Image: share.google/ydR094gi1RMZCW…

In LC circuit, energy has nowhere to go. So it oscillated.

Wow!

In the diagram is square ABCD. ∠CBE=∠BCE=15°. BD+BE=6cm. Determine the area of pentagon ABECD. @tak62530522さんから

@drxtennis Aliassime

QUESTION POUR UN CHAMPION: QUI VA GAGNER ROLAND ? à vos pronos les amis

@Alex93674850 @__Dums

@__Dums Il fait la même pour la Palestine

HAHAHAHAHAHA ALORS LA

@seethztx @en_vrai_jsp 🤣🤣🤣🤣🤣🤣

@en_vrai_jsp « Réveil toi fdp »

Le 1er mec qui est mort il a du peter son crâne