Partial Derivatives is a simple application that finds approximate numerical values for the 1st and 2nd order partial derivatives of a function at a given point. They are approximated using central difference formulas. You may predefine constants. Handles a wide variety of functions, including trigonometric and hyperbolic functions. Results can be saved or printed. Includes a help file with instructions, example and methodology.
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This manual describes the application, “Partial Derivatives.” The system comes with several different calculators, which can be accessed by clicking the button “Calculators” located in the top menu bar. There is one “Partial Derivatives” calculator that produces the expression for the 1st and 2nd partial derivative and saves it to a file. The second calculator produces expressions for the 1st and 2nd partial derivative, but also for the 1st and 2nd derivatives of a function. Both calculators are running in the background and do not interfere with other open files. Contents: 1. Usage 2. Basics 2.1 There are two calculators to choose from. 2.2 One calculator produces expressions for the 1st and 2nd partial derivatives and saves them to a file. The second calculator produces expressions for the 1st and 2nd partial derivatives, as well as the 1st and 2nd derivatives of the function. 2.3 Use the “Start” button to start a process. You can use the back button to stop the calculator from processing calculations. 2.4 The “Edit” button produces the expression that you can include in a paper or use to calculate values. 2.5 Once the calculator is open, all functions are centered at the position you have specified. 2.6 When the calculation is complete, you can save or open the calculator. 3. Functions 3.1 To create a partial derivative expression 3.2 You can use a default value of 0. 3.3 If you do not use a default value, you will be prompted to input one. 3.4 You may also input a positive, negative, or zero value for a variable. When a value is given, the program will find the point of derivative. 3.5 Once a variable is entered, the system will search for the variable to calculate the value of 1st and 2nd partial derivative. 3.6 If you enter a variable without a value, the system will find the most appropriate value for the derivative. 4. File Formats 4.1 The result file is a txt file that will be created at the selected directory. The file will contain the formula that you entered. 4.2
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This program calculates the first and second order derivatives for ANY function. It takes up to 15 numerical input arguments to find first and second order derivatives of a function with respect to x and y using the finite difference method. Other input arguments are used to find zeros and maxima/minima of the function in question. The calculation is performed using a matrix, and is only one function call away. Geometry Tool Description: This tool calculates the theoretical theorems about lines, angles, curves and planes. For example: The apollonian theorem or that a circle is a the most perfect curve in Euclidean (which is a mathematical theory used in geometry). Vectors Description: This tool calculates the general vectors such as, vectors in Cartesian, polar, spherical, cylindrical and rectangular coordinate systems. It calculates the magnitude, direction, angle and components of vectors. For example: Quiver Description: This tool calculates the magnitude and direction of n vectors. There are two types of vectors. Scalar vectors, and vectors with magnitude and direction. The scalar vectors are used for calculating forces, moment, heat, light etc. The vectors with magnitude and direction are used for calculating vectors. Quaternion Description: This tool calculates the quaternion vectors. Quaternions are 4D vector space rotations. Any rotation in 3D space is represented by a quaternion. Random Numbers Description: This tool calculates random numbers on interval. Random numbers were discovered by English mathematician, William F. Thompson (1813-1893) and Scottish mathematician, Robert Adrain (1836-1912). Thompson and Adrain found a mathematical system for generating completely random numbers for practical applications. The theory is based on a principle of ‘elastic waves’. It is known as the Weasel method and it is used for generating random number in many random number generators, such as, RND*, Mersenne Twister. Obfuscator Description: This tool can be used to obfuscate data and programs. Obfuscation is a technique that converts a clear and important data into form that is impossible to understand directly. The input data may be text, binary, unicode or hexadecimal. It can convert data into binary, hexadecimal or ascii data. Image Labeler Description: This tool is a complete automation solution for 2f7fe94e24
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The purpose of Partial Derivatives is to compute approximate numerical values for the first two derivatives of a function at a given point. These values are then used for many purposes, such as finding the volume of a region delimited by x,y and z-planes, or finding the intersection point of a quadratic function with the y=5 line. In addition, if a function is to be differentiated, these tools can be used to approximate the first two partial derivatives of the function, and to find the exact location of the point on the graph that corresponds to the zeroes of the first two partial derivatives. Features of Partial Derivatives: Easy to use. Takes input in the form of a function name, a point, a value. Output includes a list of Approximations for the given function, and a list of the first two partial derivatives. Allows you to define arbitrary constants. Supports functions of any name containing only characters (no spaces, dashes etc.) Works on Numeric values (real and/or integer), texts, strings, arrays, matrices, and any other type of data. You may also use x, y, and z forms for points. Possible uses: To compute the volume of a box (x3y2z3), where x and y are the two longest sides, z being the smallest. The result is given in units of 1/8. To find the intersection point of a quadratic function, y=x^2-8 with the line y=5. To find the intersection point of a parabola, y=x^2-8 with the line y=0. To find the end point of a line segment (x1,y1) to (x2,y2) To compute the zeroes (finite or infinite) of the first two derivatives of any function (polynomial, hyperbolic or trigonometric). To find the exact points on the graph for which the first or second partial derivatives are zero. To quickly verify if a function behaves in a certain way. For example: Is it strictly increasing, strictly decreasing, or simple linear? To approximate the first two partial derivatives of any function, and to find the approximate intersection of the tangent lines with the graph at (x,y) To use the x, y and z forms to do a normal (linear) approximation To transform
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This is a simple application that finds approximate numerical values for the 1st and 2nd order partial derivatives of a function at a given point. They are approximated using central difference formulas. You may predefine constants. Handles a wide variety of functions, including trigonometric and hyperbolic functions. Results can be saved or printed. Includes a help file with instructions, example and methodology. Useful Links and Additional Info: There are several tutorials available on the web, such as: Code Quality: This application has only recently been completed, however I think the code is solid for the most part, however since I didn’t write it I could not test the application on all functions or data types, nor was I able to test it for multiple points. I used triple-point testing, which I think is adequate since I didn’t attempt to use differential calculus to find the formula for areas, volumes, etc. If you notice some oddities or anything that is not working properly, please let me know. This version of the application can find the 1st and 2nd order partial derivatives of a single function at a single point, and can be used to find the derivatives for 2 to 256 points (even in one dimension). Each point is specified using 2xn x and y values. Version 2.7 (9/10/13) Fixed bug when specifying zero for weights. Version 2.6 (7/19/13) The constant GAIN is now assigned to the constant NOTDEF (which is assigned to 0 in the default) which allows for specified constants to be printed as undefined. Version 2.5 (6/11/13) Allows for functions of n dimensions to be specified. Version 2.4 (3/27/13) Added the ability for the user to specify GAIN and NOTDEF constants. Version 2.3 (3/27/13) Added the ability to specify the error in the calculation (EG: the max error allowed for the calculation of a 1-order derivative). Version 2.2 (3/27/13) Removed the all-options-box since people may want to change not only the constants, but the error allowed, error limit, algorithm, etc. Additionally, the options now have a set of fields to specify them; allowing for a lot of customization. Version 2.1
Source Last Updated: August 1st, 2020 Version: 1.2.5 Author: Wulf There are a number of.rar files in the download package, that contains the whole UI and scripts. This version adds Note: There is no minimum requirement, so if you have some problems with the graphics, don’t worry, I’ve provided you with “easy” and “vanilla” versions for low-spec machines. Easy: Graphics settings: 1280×800, 32