<Differential Geometry of Curves and Surfaces> by Manfredo P. do Carmo real line Rinterval I==============================================CH1 CurvesDEFINITION. A parametrized differentiable curve is a differentiable map a: I --> R3 of [an open in…
<Differential Geometry of Curves and Surfaces> by Manfredo P. do Carmo real line Rinterval I==============================================CH1 CurvesDEFINITION. A parametrized differentiable curve is a differentiable map a: I --> R3 of [an open in…
Back-propagation in a nerual network with a Softmax classifier, which uses the Softmax function: \[\hat y_i=\frac{\exp(o_i)}{\sum_j \exp(o_j)}\] This is used in a loss function of the form: \[\mathcal{L}=-\sum_j{y_j\log \hat y_j}\] where \(o\) is a v…
http://stackoverflow.com/questions/8704332/co-variant-array-conversion-from-x-to-y-may-cause-run-time-exception What it means is this Control[] controls = new LinkLabel[10]; // compile time legal controls[0] = new TextBox(); // compile time legal, ru…
Derivative of Softmax Loss Function A softmax classifier: \[ p_j = \frac{\exp{o_j}}{\sum_{k}\exp{o_k}} \] It has been used in a loss function of the form \[ L = - \sum_{j} y_j \log p_j \] where o is a vector. We need the derivative of \(L\) with resp…
using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Threading.Tasks; namespace MyGeneric.CC { /// <summary> /// 逆变(contravariant)与协变(covariant):只能用在接口和委托上面 /// out “协变”->”和谐的变”->”很自然的变化”->strin…
我们知道子类转换到父类,在C#中是能够隐式转换的.这种子类到父类的转换就是协变. 而另外一种类似于父类转向子类的变换,可以简单的理解为“逆变”. 上面对逆变的简单理解有些牵强,因为协变和逆变只能针对接口和代理类型.而父类和子类之间不存在这种逆变的概念. 协变和逆变的本质都是子类安全的转到父类的过程. 下面就来加深下印象,先定义两个类Car和Baoma public class Car { } public class Baoma : Car { } 明显Baoma(宝马)是Car的子类 1,先来…
题目:Problem A. Arithmetic DerivativeInput file: standard inputOutput file: standard inputTime limit: 1 secondMemory limit: 256 mebibytesLets define an arithmetic derivative:• if p = 1 then p0 = 0;• if p is prime then p0 = 1;• if p is not prime then n0…
https://eli.thegreenplace.net/2016/the-softmax-function-and-its-derivative/ Eli Bendersky's website About Archives The Softmax function and its derivative October 18, 2016 at 05:20 Tags Math , Machine Learning The softmax function takes an N-dimens…
Simulink仿真的时候,出行错误提示:Continuous sample time is not supported by discrete derivative 中文意思是:连续采样时间不支持离散导数: 发现正弦波信号的采样时间设置为0,所以相当于连续的模拟信号: 解决办法 修改Sample time…
基类virtual func返回类型为某个类(class Super)的ptr或ref,子类重写的virtual func返回类型可改为该类子类(class Sub : public Super)的ptr或ref. class Base { public: virtual Base* clone() const { return new Base(*this); } virtual ~Base() {} }; class Derived : public Base { public: virtu…
对特定函数的求导. 1:sin(x) 对其进行求斜率.带入公式得:[ sin(x+Δx)- sin(x)]/Δx = [ sinx*cosΔx + cosx*sinΔx -sin x ]/ Δx = [ cos x * sin Δx ] / Δx = cos x cos Δx = 1 当 Δx无限趋近于0 的时候 ,sin x和x在 0点是一样的,其取值也一样. 2:cos(x)求其斜率(导数)[ cox(x+Δx) - cos x ]/ Δx = [ cos x*cos Δx - sin x…
1. Stock Option wih divends 1.1 Task A 1.1.1 Calculate a ECO on a stock. /Ex-dividend dates in 3 and 6 months, each dividend is expected to be 1; /P0 = 80, K = 80, σ = 0.25 per annum, rf = 0.07; T = 1; 1.1.2 Process and results: K <- 80 r <- 0.07 si…
C++ Core Guidelines September 9, 2015 Editors: Bjarne Stroustrup Herb Sutter This document is a very early draft. It is inkorrekt, incompleat, and pµøoorly formatted. Had it been an open source (code) project, this would have been release 0.6. Copy…
