http://campar.in.tum.de/Chair/HaukeHeibelGaussianDerivatives
---- Derivatives 导数 简单说明, 上一节中,几个定理都类似 ? 定理2 如果极限存在,则可以简单写成 导数(衍生品?)
---- Higher Derivatives ? 如果 微分函数 的导数 f' 依然是一个函数的话,那么这个导数的导数,可以写成 (f')' = f''。 叫 二阶导数。 莱布尼茨 写法为: ?
大体目录 Paste_Image.png Paste_Image.png 大体内容 第一章,大体都是 初中,高中的内容复习 大体为: 切线,速度的理解 瞬时速度,平均速度的理解 极限, 一边的极限,什
---- Derivatives of Logarithmic Functions ? 证明过程: ?
Derivatives of Trigonometric Functions 三角函数的导数 对应的图像(sinx 和 对应导数的图像) 具体证明 较复杂,略 (书上证明较严谨,比较长) 简单不太严谨证明 dhIeii7Sfgc4uicXPtzkAgZnl-QN3Np5gO6WJmd_-5V1hA0j2b6vrXkMXmeDKoM1jfOsbhvvMscm4_En0qRcLq 结论 同理,可以得出: 还有: Derivatives
---- Derivatives of Polynomials and Exponential Functions 一些数的微分值 常数的微分值 对应的推理 ? Paste_Image.png ---- New Derivatives from Old 新的导数 就是一些常数,函数的加减乘除 相关运算结果的 导数 The Constant Multiple Rule
f'(x) > 0 的时候, 在区间内是 递增的 f'(x) < 0 的时候, 在区间内是 递减的
Tharp 衍生品 Equity derivatives The Volatility Surface by Jim Gatheral Stochastic Volatility Modeling by Lorenzo Bergomi Equity Hybrid Derivatives by Marcus Overhaus et al. Commodities and Commodity Derivatives by Helyette Geman Commodity Option Pricing by Iain J. Clark Interest rate derivatives Interest Rate Models — Theory and Practice by Damiano B. & Fabio M. Pricing and Trading Interest Rate Derivatives by J. H. M.
self.Iy = np.zeros(self.grayImg.shape) self.manitude = np.zeros(self.grayImg.shape) def cal_derivatives_sobel filters.sobel(self.grayImg, 0, self.Iy) self.manitude = np.sqrt(self.Ix**2 + self.Iy**2) def cal_derivatives_prewitt filters.prewitt(self.grayImg, 0, self.Iy) self.manitude = np.sqrt(self.Ix**2 + self.Iy**2) def cal_derivatives_gaussian /imgs/3.jpg" sc = ScipyFilter(img_path) sc.cal_derivatives_sobel() sc.plot() sc.cal_derivatives_prewitt () sc.plot() sc.cal_derivatives_gaussian(3) sc.plot() sc.cal_derivatives_gaussian(5)
这就要讲到偏导数(partial derivatives)的概念了,以前大学里学偏导数的是时候一直不明白为什么叫偏导,直到最近看到英文:partial derivatives才明白,我们来看图: ? 如果我们固定住y,则是一个曲线,如图中绿色的线,此时我们在计算点(a,b,f(a,b))在绿色线上的斜率,就可以得到沿着x方向的斜率了,同样的我们固定x,就可以得到y方向的斜率,这样子解释,英文partial derivatives llSourcell/linear_regression_live 一些视频的中的词汇记录: back of your hand:了如指掌 gradient descent:梯度下降 partial derivatives
. % Compute the partial derivatives and set grad to the partial % derivatives choice of theta. % You should set J to the cost. % Compute the partial derivatives and set grad to the partial % derivatives of the cost w.r.t. each parameter in theta h
in working memory flows through the brain, from the hippocampus to the cortex, through directional derivatives The strong working memory brain plasticity turns to long-term memory means maximum of directional derivatives , and maximum of directional derivatives is gradient. Maximum of directional derivatives of working memory means gradient of short-term memory turns to long-term Memory flow can take a critical angle of 0, which is the maximum directional derivatives, or a critical
. % Compute the partial derivatives and set grad to the partial % derivatives choice of theta. % You should set J to the cost. % Compute the partial derivatives and set grad to the partial % derivatives of the cost w.r.t. each parameter in theta h
. % Compute the partial derivatives and set grad to the partial % derivatives
Derivatives - Definition of a derivative - Rules of differentiation - Chain rule and product rule4 Applications of Derivatives - Finding maxima and minima - Optimization problems - Related rates5 Derivatives - Animation: Visualizing the slope of a tangent line. Applications of Derivatives - Video: Optimization problems in physics and economics. and Applications - Watch: Advanced lesson on "Applications of Derivatives
可以发现,对应的微分值 如果在同一个点的切线, 那么,它们互为 负导数 (互相垂直) ---- Derivatives of Inverse Trigonometric Functions 反三角函数的导数 Derivatives of Inverse Trigonometric Functions 反三角函数的导数 ?
/* Change to #undef to remove function */ #if defined(MDL_DERIVATIVES) static void mdlDerivatives (SimStruct *S) { } #endif /* MDL_DERIVATIVES */ static void mdlTerminate(SimStruct *S) { } /* Change to #undef to remove function */ #if defined(MDL_DERIVATIVES) /* Function: mdlDerivatives * The derivatives are placed in the derivative vector, ssGetdX(S). */ static void mdlDerivatives 更新经度Lng Lng_dot = V_east / ( R_N * cos(Lat) ); } #endif /* MDL_DERIVATIVES */ static
*/ static void mdlUpdate(SimStruct *S, int_T tid) { } #endif /* MDL_UPDATE */ #define MDL_DERIVATIVES /* Change to #undef to remove function */ #if defined(MDL_DERIVATIVES) /* Function: mdlDerivatives ======================= * Abstract: * In this function, you compute the S-function block's derivatives * The derivatives are placed in the derivative vector, ssGetdX(S). */ static void mdlDerivatives (SimStruct *S) { } #endif /* MDL_DERIVATIVES */ /* Function: mdlTerminate ====================
www.cse.psu.edu/~rtc12/CSE486/lecture06.pdf https://docs.opencv.org/2.4/doc/tutorials/imgproc/imgtrans/sobel_derivatives /sobel_derivatives.html?