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The most famous mathematicians are generally the most famous mechanics.

development of continuum mechanics, i.e., elasticity and fluid mechanics, and heat transfer, partial differential equations have also developed rapidly. The characteristics of the two disciplines in the development of mathematics and mechanics can not be reflected in the characteristics of the representative figures of the two disciplines. We can see that the most famous mathematicians in history are also the most famous mechanics at the same time. 1. The most eminent six-bit mathematical mecha

The sixth chapter of natural Mathematics and analysis

gold," formally declaring the natural mathematical, the nature is written in the Book of Mathematics.6 years to write the dialogue on the two world systems of Ptolemy and Copernicus, abbreviated as "dialogue"Tried in 1633 as a "suspicious pagan", ordered public repentance, after repentance, under house arrestDuring his incarceration, Galileo wrote the dialogue on two new Sciences, which was published in 1638, laying the foundation of modern mechanics. These two new science refers to the new kin

Stanford CS229 Machine Learning course Note II: GLM Generalized linear model and logistic regression

likelihood function are:3. Algorithms3.1 Gradient Ascent gradient riseWe can use gradient descent to find the minimum point, which in turn can be used to find the maximum point with a gradient rise: first, add the logical function used in the calculation, and the derivative of the logical function:Based on this, we obtain a gradient for the derivation of the logarithmic likelihood function.This derivative is the same as the derivative in linear regression, but it is important to note that the m

Deep leaning Study notes (i)

is 0, the wrong loss is infinity, my personal understanding) So in this case the loss function is usually-log (h (x)), just to meet the requirements. Similarly, when the training sample value is 0 o'clock, the general loss function is-log (1-h (x)). So the two are integrated together as-y*log (H (x))-(1-y) *log (1-h (x)), the result is the same as above, but the expression is more compact, The loss function chosen in this form is obtained by the maximum relief estimate (MLE). In this case, the

"Reprint" to the understanding of linear regression, logistic regression and general regression

, and the result of the iterative formula isYou can see that it is similar to linear regression, but instead, it is actually mapped by G (z).10 Newton method to solve maximum likelihood estimationThe methods of maximum likelihood estimation used in sections 7th and 9th are the methods of derivation iteration, and the Newton descent method is introduced, so that the results can be quickly convergent.When the

Code optimization-optimize Division

From: http://blog.csdn.net/housisong/article/details/1116423 Tag:CodeOptimization, division, Newton iteration, subtraction instead of division, Division Optimization Note:ArticleMany of the data may have different results in different CPUs or different system environments. The data is for reference only.X86 series CPUs can complete basic commands such as bit operations, addition, and subtraction within one CPU cycle (the current CPU can stil

Phone Fluid Mechanics

unit. At the same time, Boyle, an Irish scientist, began studying the "Elasticity" of the air ". He found a goat's bladder and pulled gas from the air. As a result, the bladder became smaller. Fill in the gas and increase the bladder. In 1662, he carefully studied the experimental data and proposed the "wave ear Law": the product of the gas pressure and volume is a constant. In 1687, Newton published the mathematical principles of natural philo

Quick query of C language Algorithms

2145.3.8 [instance 27] solving equations by iterative method 2155.3.9 [instance 28] solving the Tober-litz equations 217 Chapter 2 solutions to nonlinear equations and equations 6th6.1 root process of nonlinear equations 2196.1.1 determine the initial approximate value of the real root of the nonlinear equation or the Inter-zone 219 of the root6.1.2 exact solution to the root of the nonlinear equation 2216.2 method for finding a real root of nonlinear equations 2216.2.1 [algorithm 52] division

Summary of problems solved by SiC exercises (1.40)

Exercise 1.40 is a simple question, but it looks complicated. In essence, it is actually a simple question. The original question is as follows: Define a procedure cubic, Which is used together with the newtons-method procedure in the following form expression: (newtons-method (cubic a b c) 1) Cubic Equation . The question is very simple. We need to create a cubic process, but it involves the zero points of newtons-method and cubic equation. If you only read the question, you really don't

18 years of development experience sharing (iv) Problem Solving (II)

step is to find a solution to the problem based on the analysis. Step 4: now we need to check whether the water will be filled in an empty water bottle. In actual work, we think again about a subproblem (or substep) after thinking and analyzing a problem. Obviously, the actual situation is what we will do. At least most of them can be tapped by hand.CodeProgrammers will do it. Now, when we think about this step, we can know that this problem can be solved. Here, the second step is the key, a

Function image generator for GPU parallel computing in. net

Http://www.cnblogs.com/Ninputer/archive/2011/08/18/2145045.html A number of days ago, the technical master vczh developed a function image rendering program that can draw an image with the equation f (x, y) = 0. The principle is to bring the coordinates of each point in the image into function f to obtain two equations for X and Y, and then use the Newton Iteration Method to obtain a set of points and draw them to the image. Use hisProgramYou can

Introduction to computing methods

decimal places reserved for calculation is the same as the original approximate number of digits. (D) Logarithm operation: When the approximate number logarithm is used, the number of decimal places reserved for calculation is the same as the original approximate number of digits. (3) Note: (a) avoid the subtraction of two similar numbers. (B) Avoid division where the absolute value of the devisor is much smaller than the absolute value of the devisor. (C) Avoid "eating" decimals with large num

Understanding of linear regression, logistic regression and general regression

, the maximum likelihood estimate is still obtained, then the derivative is derived, and the result of the iterative formula isYou can see that it is similar to linear regression, but instead, it is actually mapped by G (z).10 Newton method to solve maximum likelihood estimationThe methods of maximum likelihood estimation used in sections 7th and 9th are the methods of derivation iteration, and the Newton d

Classification and logistic regression (classification and logistic regression)

, here, to introduce a maximum? Method of (θ)---Newton's method (Newton ' s methods)Newton's method (Newton ' s method)Given the function:We're going to find a theta so that f (θ) = 0 is established, note the θ∈rhere, then the Newton method update rule is as follows:The execution of Newton's law is as follows:By asking us to give the derivative of the point the t

World's top ten physicists selected by the world of Physics Magazine

Britain's world of physics has selected 10 of the greatest physicists in human history. They are: 1. Einstein;2. Newton;3. Maxwell;4. Bohr;5. Heisenberg;6. Galileo;7. Feynman;8. Dirac;9. Schrödinger;10. Rutherford.These ten physicists are undoubtedly the example of our study, their study, life and work are worthy of our study. This paper makes a comparative analysis on the basic situation of ten physicists.1 births and profilesAlbert Einstein: Born Ma

Optimization algorithms everywhere

One: Cause(0) Optimization algorithm (Optimization algorithm), that is, the optimal value problem of the objective function; How to evaluate the value of your current solution is optimal? This requires the construction of the evaluation function, how to update from the current location (solution) to the new search space? This requires a definition of the form of the transformation.(1) Optimization algorithm everywhere-- real life of material deployment, a certain means of production how to get t

What is the basic concept of j2-based architecture?

on the Internet, this is a white paper published by Randy rorden, a column writer at linuxdevices.com, titled "Cooperation between Java and embedded Linux 」. In this article, the author puts forward his views on the advantages of Embedded Linux and Java, and also puts forward the idea of the Java-Linux platform. Interested readers can go to the following websites to refer to relevant news and materials.  1. Cooperation White Paper between Java and embedded LinuxHttp://www.ctech.com.tw/d-news/ne

Two questions about Windows Mobile 5.0

When I recently used Visual Studio. NET 2003 to develop the smart device project, I found that Windows Mobile 5.0 has two problems. The PDA is HP ipaq 2190. First problem: when cabwiz.exe is used to generate the cab installation package, the INF configuration file can only contain ANSI characters, but cannot contain Chinese or other Unicode characters. Otherwise, the Chinese section after installation, such as shortcut and deleteProgram"Program name

Run Linux on HPiPAQ

Article Title: run Linux on HPiPAQ on the handheld computer. Linux is a technology channel of the IT lab in China. Includes basic categories such as desktop applications, Linux system management, kernel research, embedded systems, and open source. Install Linux on iPAQ™It may be a good way to give mature hardware new vigor or make existing tools better, especially when you are a fan of Desktop Linux. In this process, you can take full advantage of the existing knowledge, and enjoy the benefits o

Java Embedded Development lecture (Lecture 1)

phones. CLDC includes a subset of classes in J2SE, but there are some important differences, such as the useless Unit collection mechanism used by virtual machines on small devices, CLDC's java. lang. an Object does not contain the finalize method. You should remember that a specific class in this application interface may appear, but a method does not. Please refer to the application interface document so that you will know when to use the configuration. It is strange that CLDC does not suppor

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