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Spiral Pipe of mathematical graphics

Spiral Pipe of mathematical graphicsFor related software, see: Mathematical graphics visualization tool. Use script code with custom syntax to generate mathematical graphics. (1) Spiral Tube copy code vertices = D1: 720 D2: 72u = from 0 to (10 * PI) D1v = from 0 to (2 * PI) d2 a = 3 x = (a + cos (v) * cos (u) z = (a + cos (v) * sin (u) y = sin (v) + u copy code (

Calculate the distance between two points based on the latitude and longitude, and the distance between two points based on the latitude and longitude

following formula is obtained for calculating the distance between two points: C = sin (MLatA) * sin (MLatB) * cos (MLonA-MLonB) + cos (MLatA) * cos (MLatB) Distance = R * Arccos (C) * Pi/180 Here, the units of R and Distance are the same. If 6371.004 km is used as the radius, Distance is the unit of kilometer. If other units such as mile are used, unit conversi

The calculation formula of disparity angle and its derivation

(Image source: "Astronomical Algorithm")What is the "parallax angle"? The parallax angle is the angle between the equatorial meridian of the celestial body and the plane meridian of the celestial body, before the Zhongtian is negative and the transit is positive. For first quarter, the parallax angle is the degree to which it "falls":(Image source: "Astronomical Algorithm")So how do we calculate the angle? The Book of astronomical algorithms gives a formula:\ (\tan{q} = \frac{\sin{t}}{\tan{\varp

WPF custom control -- use Win32 Control

performed on custom controls that expose messages. In general, transform is the implementation of matrix, for matrix, let's first make a question: It is known that the center of the circle O (0, 0) has a p (x, y) on the coordinate axis, and the op a degree is rotated counter-clockwise so that the point P reaches p1 (x1, Y1), with X, Y indicates the coordinates of Point P1. Solution: it is clear that P1 o is equal to Po, which is an arbitrary M point on the X axis. Assume that our mo

Find nearby points--geohash scenario discussion

method, the final deduced formula A is: $s = acos(cos($radLat1)*cos($radLat2)*cos($radLng1-$radLng2)+sin($radLat1)*sin($radLat2))*$R; At present, most of the online use of Google public Distance computing company, the derivation Formula B is: $s = 2*asin(sqrt(pow(sin(($radLat1-$radLat2)/2),2)+

Calculate the Distance Based on the longitude and latitude of two points

radius is 6356.755 km, and the average radius is 6371.004 km. If we assume that the Earth is a perfect sphere, its radius is the mean radius of the Earth, which is recorded as R. If the zero-degree longitude line is used as the basis, the distance between the two points can be calculated based on the latitude and longitude of any two points on the Earth's surface. (here, the error caused by the calculation of the earth's surface topography is ignored, only theoretical estimates ). Set the longi

Introduction to Android image processing instances (figure)

* Math. sin (x3)-(x6 + 2 * x4) * Math. cos (x3) + Math. Exp (x0) * (x5 * Math. sin (x2)-(2 * x6 + x4) * Math. cos (x2 )));N_p [2] = (2* Math. exp (x0 + x1)* (X4 + x6) * Math. cos (x3) * Math. cos (x2)-x5 * Math. cos (x3)* Math. sin (x2)-x7 * Math.

Ruby tends to be more user-friendly than Python?

called list parsing in Python, but whatever it is, it is actually an iteration. [elem*2foreleminli] Li is a list. When I read this line of code, I first saw elem * 2, but I don't know what elem is. Let's continue and check whether elem is displayed again. I have always seen in li. It turns out that elem is an element in li. By the way, what did I do to elem just now? If the parsing of an element is not confusing, continue with the example below. ["%s=%s"%(k,v)fork,vinparams.items()]

Understanding and collecting evidence: DLS network architecture and PPPOE data frame

Understanding and collecting evidence: DLS network architecture and PPPOE data frame The corresponding teaching videos are as follows: Http://edu.51cto.com/lecturer/user_id-7648423.html9.9then, after 24 hours of review by the Administrator DSL (DigitalSubscriber Line digital user Line) uses the current telephone facilities and only invests a very small amount of transformation costs. It uses unused parts of traditional telephone communication cables

A tutorial on implementing a unit test framework with Ruby _ruby topics

see, "describe" receives a string to describe the test and a block that contains the test code. Here, we'll explain the test code separately from "describe" (for example, "it" block). So we created the DSL class and used its parse function to process the block to be tested, resulting in an object that could execute all of our tests, but don't get too excited. The DSL class looks like this: Class

Linux Down Dial Internet __linux

recently, the home installed a Linux, because the router does not dial function. So you need to build your own connection. Using a PPPoE here is also very easy to use. 1. ADSL Introduction Although networking with routers is common, we sometimes need to use PPPoE directly to connect to ADSL (sometimes called DSL) modem. Of course, first of all you have to pay a good money to netcom or telecommunications network operators, the line to connect well. Mod

MATLAB knowledge Summary

monotonicity of the vector, whether the spacing and whether there are repeated elements.Diff)Syms x TF = cos (A * X)DF = diff (f) is defined by the findsym rule and is implicitly specified to differentiate X.DFA = diff (F, 'A') specifies the differentiation of variableDFA = diff (F, 'A', 3) triplicateThe diff function not only applies to the scalar, but also to the matrix. The calculation rule is to perform the differential operation based on the ele

OFDM Understanding (reprint)

integral is 0"Figure VI: FlowchartWhen you get here, you may have two states:One is: Ah, the original is so, I understand.One is: Ah, how can this, I completely can not imagine. The point here is that you don't have to imagine (visualize). The mathematics is so defined orthogonal, the mathematical proof of their orthogonality, then they are orthogonal, "they can not interfere with each other to carry their own information." Choose sin (t) and sin (2t) as an example, and formally because they ar

Unity First View Mouselook source analysis

understand the four-dollar number, you cannot understand the code. The following article gives us a general understanding of what a four-dollar number is. We're not studying math, so we don't have to delve into it, as long as it helps us understand the code.In the article, there is this fragment:Given a Euler rotation (x, y, Z) (that is, rotate X, y, and z on the x-axis, y-axis, and z-axis, respectively), the corresponding four-dollar number isx = sin (y/2) sin (z/2)

Summary of MATLAB knowledge

the dry differential this inherent difficulty. So avoid numerical differentiation as much as possible. In particular, the data obtained from the experiment is differentiated. In this case, it is best to use the least squares curve to fit this data, and then differential the resulting polynomial, or a different method of point data three times spline fitting, and then look for spline differential, but sometimes the differential operation is unavoidable, in MATLAB. Use the function diff juice to

Fast Fourier transform of MATLAB

under the frequency value.How does it relate to the magnitude of the original signal?1. Assuming that the original signal peak is a, then the result of the FFT of each point (except the first point of the DC component) of the modulus of A is n/twice times, and the first point is the DC component (that is, 0Hz), its modulus is the DC component n times;2. The phase of each point is the phase of the signal at that frequency. The first point represents the DC component, its phase is the initial pha

Performance Comparison of several File Upload components [reprinted]

In the past two days, because the project needs to use the Upload Component, I carefully analyzed the source code of COS and fileupload, and tested and compared their performance, the following figure shows the time (in MS) taken to test the three components: 2 m, 20 m, 45 m, and M: 2 m 1st times 2nd times 3rd Times 4th times Average Cos 297 203 234 245 245

Atitit. GroupBy LINQ Implementation (1)-----LINQ Framework Selection java. NET PHP

Atitit. GroupBy LINQ Implementation (1)-----LINQ Framework Selection java. net PHPThe implementation method is as follows1. Dsl/java8 Streams AP, targeted query API, recommended 12. Linq::: DSL 1 for like SQL1.1. linq4j (JDK6 ok,jdk7 compilation error , horse jar download ) 11.2. Quaere: LINQon Java ( new sourcecode) 11.3. Josql is also API 2 similar to Quaere1.4.. Net LINQ 23. SQL parsing 24. Lambda 25.

ADSL Technology Detailed

I. OverviewADSL is an asymmetric version of DSL that uses digital coding to obtain maximum data transfer capacity from existing copper telephone lines without interfering with conventional voice services on the same line. The reason for this is that it transmits data in frequencies other than telephone voice transmissions. That is, users can call or send faxes while surfing the internet, which will not affect the quality of the call or reduce the spee

Javascript Image Processing-deep understanding of affine transformation-javascript skills

+Beta ). To the Cartesian coordinate system, the point after rotation is changed to (cos (α +Beta) * r, sin (α +Beta) * r ). Then use the formula: Cos (α + β) = cos α cos β-sin α sin β Sin (α + β) = sin α cos β + cos α sin β A

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