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(1825)
happy problem the problem : Find the derivative with respect to z of the function f(z) For $f(z) = (1 + e^{-z})^{-1}$
The Magic of e^x: A Function That Is Its Own Derivative Mathematics has a way of surprising us with small, elegant truths that hold profound meaning. One of these surprises is the function e^x. On the surface, it seems like just another exponential expression—a curious letter “e” raised to the power x. But behind this unassuming exterior lies a magical property: when you take the derivative of e^x, you get e^x all over again. The Constant of NatureTo..
gan Nash equilibrium 세상에서 가장 쉬운 개념 gan입니댯 블로그로 옮겨 적느라 형식상의 오류가 있을 수 있습니다 (특정 공식을 블로그에 적는게 아직은 소캬 소캬 샤캬 샤캬 샤카밤바스 모에모ㅔ 뀽) 암튼 내용 자체는 맞는 내용입니댯 그냥 쳐 읽고 느끼십쇼 Generative Adversarial Networks (GANs) are an advanced framework for learning data distributions through adversarial training, introduced by Ian Goodfellow et al. in 2014. The GAN architecture consists of two neural networks, the Generator (G) and the Discriminator (..
impossible math problem made by me A lone wanderer stands at the center of a vast, nocturnal plain. Its contours are hidden by a silent darkness, except for the vague impression that it might be slightly elevated around the center—an unproven presumption whispered in the void. You venture forward, stumble upon a single cryptic marker, and measure its height with an unreliable device. The reading is shrouded in uncertainty, like a..
메랍 vs 우마르 누가 이길까 ? 우마르 승리 봅니다
Math Problem Navigating the Celestial Labyrinth (Hello, this is a really fun mathematical game, please solve this ! I made this for you !!) A team of scientists has landed on a newly discovered star, Erythra Major, to search for unique life forms. However, the surface of the star is a vast maze of magnetic fields, each altering the trajectory of their spacecraft. To locate the most probable habitat of the new species, they must navigate this ..
testing testing Now expand:∣xn−x~n∣2=(xn−u1(u1Txn))T(xn−u1(u1Txn)) $|x_n - \tilde{x}_n|^2 = \left( x_n - u_1 (u_1^T x_n) \right)^T \left( x_n - u_1 (u_1^T x_n) \right)$  Expanding the terms:=xnTxn−2xnTu1(u1Txn)+(u1(u1Txn))T(u1(u1Txn)) $= x_n^T x_n - 2 x_n^T u_1 (u_1^T x_n) + \left( u_1 (u_1^T x_n) \right)^T \left( u_1 (u_1^T x_n) \right) $ For the last term, note that: (u1(u1Txn))T(u1(u1Txn))=(u1Txn)2(u1Tu1) $\..
풀다가 너무 재미있어서 가져온 문제 냥 Let f be a vector-valued function that maps from R3 to R2:  y1 = f1(x1,x2,x3) = log(x2 +x1) ×exp(−x3),  y2 = f2(x1,x2,x3) = cos(x1x3).  1. (*) Compute the derivatives ∂yi/∂xj (this is known as the Jacobian matrix) using  manual differentiation and evaluate it at the point (x1 = 3,x2 = 5,x3 = 1)  2. (*) Draw the computational graph to represent this function.  3. (**) Compute the derivatives usin..

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