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1. Trigonometric Functions The axis uses the right-hand rule, the counterclockwise direction along the z axis is the positive angle, assuming that the original point is P (x, Y, z), A is the angle of rotation point P, and R is the distance from the origin to the P point. Using these two variables to calculate the coordinates of the point P, the equation is as follows: x == Rsin A;Similarly, you can use the R,a,b (p rotation angle) to represent the coordinates of P ':X ' = R

specification definition, typically supporting Javacard API and GP API. l upper layer is an applet developed in accordance with the requirements of the application, equivalent to the ADF on the native card. You can develop multiple applets based on different types of applications. These applets are independent of each other and are selected through aid. unified through the card operating system (COS) to achieve all the functions. l

(line style), you can also add related strings after the coordinate pair:Plot (X,sin (x), ' r* ')5 Using the axis ([Xmin,xmax,ymin,ymax]) function to adjust the range of the diagram axisAxis ([0,6,-1.5,1])6 Matlab can also add various annotations and processing of graphics: (see table above)Xlabel (' x axis '); % x Axis annotationYlabel (' Y axis '); % y-axis annotationTitle (' cosine function '); % Graphic TitleLegend (' y = cos (x) '); % graphic an

1. Symbol limit Limits of Limit (f,x,a) on expression f,x-aLimit (f,a) to the above function simplification, to the expression F, the default argument, a limit, the default argument here can be found through Findsym (f,1), is generally the most recent argument from the X-letter. For example: Clear CLC syms a b x y; F=a+2*b+3*x+4*y; Limit (f,2) Findsym (f,1)Results Ans = A + 2*b + 4*y + 6 ans = xLimit (f) For further simplification of the above function, the limits of the expression F, t

Back to "flash Basic Theory Class-Catalog" Optimizing Code We've seen some examples of code optimizations earlier. This is usually done in lieu of multiple executions, or simply not executed. The piece of code we wrote earlier is just to see it clearly. Some of these codes do not actually need to be executed. Most code executes only if the ball is in contact with line. Therefore, most of the time requires only the execution of basic motion code. In other words, we're going to put the code in

axis. Center of gravity to E 0°n 90° to Z-axis The surface of the earth is a little $A $, longitude $e $, latitude is $n $, Unit is radians The coordinates of the $A $ are expressed as: $ $x = r \cdot cos (n) \cdot cos (e) \\y = r \cdot cos (n) \cdot sin (e) \\z = R \cdot sin (n) $$ Code Const R = 6371const {cos, sin,

handwritten. Just use a simple method to integrate the speed of C and the data type of C into Python functions. Now we can say that we can make the following great_circle function faster. The so-called great_circle is used to calculate the distance between two points along the Earth's surface: P1.py Import math Def great_circle (lon1, lat1, lon2, lat2 ): Radius = 3956 # miles X = math. pi/180.0 A = (90.0-lat1) * (x) B = (90.0-lat2) * (x) Theta = (lon2-lon1) * (x) C = math. acos (math.

First of all, the Taylor formula is introduced, and its essence is to use a function near the point, while the past derivative resembles the function value of the point.Next, the Taylor formula for trigonometric functions at x=0 (sin (0) =0,cos (0) =1) Sin (x) ' Sin (x) " Sin (x) " Sin (x) "" Cos (x) ' Cos (x) "

{\mathcal{f}f (\xi_1,\xi_2) =\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}e^{-2\pi I (x_1\xi_1+x_2\ xi_2)}f (x_1,x_2) dx_1dx_2}$Variable for polar coordinate conversion$\begin{matrix}X_1=rcos\theta \qquad \xi_1=\rho cos\varphi \ \X_2=rsin\theta \qquad \xi_2=\rho Sin\varphi\end{matrix}$Assuming that $f$ is a radial function, then $f (x_1,x_2) = f (f) $, $dx _1dx_2$ is converted to $rdrd\theta$ by polar coordinatesThe inner product of the variable in t

,-, 1])6 MATLAB can also add various annotations and processing to the image: (see the table above)Xlabel ('x axis '); % x axis AnnotationYlabel ('y axis '); % Y axis AnnotationTitle ('cosine function'); % graphic titleLegend ('y = cos (x) '); % graphical AnnotationGtext ('y = cos (x) '); % graphical annotation, locate the annotation position with the mouseGrid on; % display grid lines7. Draw an ellipseA =

)} output formula for second-order IIR filter Y (n) = b0xn + b1xn-1 + b2xn-2-(a1xn-1 + a2xn-2) Type 1In Formula 1, A1, A2, B0, B1, and b2 are the two-order filter IIR coefficients, which determine the frequency response curve and gain of the filter. How to obtain A0, A1, A2, B0, B1, B2? For a second-order IIR filter, the standard technical indicators are as follows: 1. center frequency f0; 2. sampling frequency fs; 3. Gain dB; 4. quality factor; Based on the above technical indicators, we can de

=A2 +B2-2ABCos. Note =A, =B,=C, There areC=A-BTo |C| 2 =C×C= (A-B)(A-B) =A2-2 ×AB+B2 = |A| 2 + |B| 2-2 |A|B| Cos (A, ^B), That isC2 =A2 +B2-2ABCos. Coordinate representation of the number product: Theorem 2SetA= {Ax,Ay,Az},B= {Bx,By,Bz}, Then A · B=Axbx+Ayby+Azbz. CertificateA · B= (AxI+AyJ+AzK)·(BxI+ByJ+BzK) =AxBxI · I+AxI · j+Ax bzI · k +AyBxJ·I+AyJ·J+Ay bzJ·K +AzBxK·I+AzK·J+Az bzK·K =AxBx+Ay+Az bz. Theorem 3SetA= {}, Then the VectorAModule |A| =.

) Substring (tmpY, 4, 2)Set Variable: "sinY" = eval ("/sin: sin" tmpY)ElseSet Variable: "tmpY" = (worldRotY-10. 0001)Set Variable: "tmpY" = Substring (tmpY, 3, 1) Substring (tmpY, 5, 2)Set Variable: "sinY" = 0-eval ("/sin: sin" tmpY)End IfSet Variable: "cosX" = eval ("/cos: cos" tmpX)Set Variable: "cosY" = eval ("/cos: c