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Last Updated
03/31/2019
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Detailed entries for one subject from the INDEX TO HOW TO DO IT INFORMATION. |
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MATHEMATICS sa ASTRONOMICAL COMPUTING sa CALCULATOR sa GEOMETRY & TRIGONOMETRY sa MATHEMATICAL COPROCESSOR sa RANDOM-NUMBER GENERATOR xx SCIENCE Probability board. A marble game illustrates that falling marbles will concentrate in the middle of available slots. What's in a floating point package. How floating point calculations are performed and how to use them. Novel 8-bit multiplication program for an 8080 based system. Simple algorithms for calculating elementary functions. Trigonometric functions, hyperbolic functions, and inverse functions are covered. Written in BASIC. Childrens program allows them to learn mathematics while playing with a computer. Written in Tiny BASIC for a KIM-1 computer. Floating point arithmetic. Software routines to do floating point arithmetic (addition, subtraction, multiplication and division) plus decimal to binary conversions. Written for an 8080 based system. A novice's eye on computer arithmetic. How basic math operations such as multiplication and division are performed in a computer. Optimization of a 8080 multiplication routine (with respect to execution time) is investigated. Simple program written in BASIC for a home computer will drill a child in multiplication. Computer program written in BASIC helps a student learn about Roman Numerals. It shows you the equivalent Arabic number you have entered in Roman Numerals, then proceeds to do the computation called for and prints out the result in both Arabic and Roman Numerals. Math in the real world. An introduction to what is necessary to create a package of binary floating point subroutines. Functional approximations. A description of several minimax and rational polynomial functions, plus a method for creating polynomial approximations for microcomputers. Fast Fourier transforms on your home computer. BASIC language routines for performing these calculations which can be used in music and speech analysis as well as electrical circuit design. Elements of statistical computation. Some of the do's and don'ts in determining the mean and standard deviation of a data set. Analyze speech and music with this fast fourier transform (FFT) subroutine written in 6800 assembly language. How to perform unlimited precision division using only an interger BASIC interpreter. BASIC program to calculate inverse sine or inverse cosine functions using the inverse tangent function found in most BASIC interpreters. Sources of numerical error in computer programs. Assembly language program to calculate sines and cosines. Written for Motorola 6800, but can be adapted to other processors. How an integer arithmetic BASIC can be used to write intricate programs involving trigonometric functions. Trigonometry in two easy black boxes. Calculate trigonometric functions using arithmetic operations. BASIC program for determining factorials using the gamma function. 5 byte 8080 code translates hexadecimal 0 thru F into ASCII 0 through 9. An overview of long division provides the background necessary to write division routines for computers. Curve fitting with your computer. An approximate approach to the "least squares" fitting of multiple-dimensional data. Includes a BASIC program for calculating a least squares parabolic fit to any data set having more than three points. Five useful programs for the SC/MP minimum computer system. The routines can be converted to other small systems, such as the COSMAC VIP and the KIM. They include a program to print an ASCII message, a prompting-input-reply routine, a time delay loop, addition routine, and multiplication routine. Frequency analysis of data using a microcomputer. How a nonrigorous mathematical treatment of Fast Fourier Transforms may be applied to synthesize a variety of signal waveforms. Minimizing curve-plotting calculation. A simple trigonometric analysis program written for a Hewlett-Packard 9825A desktop computer will yield an accurate approximation of a function and print the curve on a H-P plotter. Noniterative digital solution of linear transfer functions. Includes a BASIC program for use on the Hewlett-Packard 9830A desktop computer. Analysis of polynomial function with the TI-59 calculator. Part 2. A fast, multibyte binary-to-BCD (binary coded decimal) conversion routine coded for an 8080 microprocessor Prime number generator routines for TRS-80 and Z80 systems are used in bench mark tests against an IBM 370. Electronic planimetry utilizes a "BitPad" digitizer and a computer to measure the area of a two-dimensional figure by tracing its perimeter. Program written in PASCAL. 16-bit multiply and divide subroutines for the KIM-1 microcomputer. Altair Extended BASIC program helps children learn the mathematical concept of "sets". Khachiyan's algorithm. Part 1. A new solution to linear programming problems. Routine for determining the actual precision of PASCAL floating-point routines. Khachiyan's algorithm. Part 2. Problems with the algorithm. FLOPTRAN-IV. A tiny compiler. Floating point translator, version 4, is written in Microsoft BASIC for a Commodore Pet computer. Symbolic math using BASIC. A simple program that expands polynomials. Subroutines for manipulation of complex numbers. Eight functions are calculated including raising to powers, natural logarithms, sine, cosine, square root, products, quotients, and exponents. Five base-conversion functions written in TRS-80 BASIC. Decimal-to-hex, hex-to-decimal, decimal-to-octal, octal-to-decimal, and decimal-to-binary. Uses the DEFINE FUNCTION command. Numerical analysis programs for the TRS-80 pocket computer. Includes a discrete Fourier-transform program and a time-domain response program for a system. A beginner's guide to spectral analysis. Part 1. Tiny timesharing music. A non-mathematical treatment of Fourier transforms. A variable type converter for numerical quantities. Routines to convert string variables to numeric variables and vice versa. Written in Hewlett-Packard BASIC. Computing the determinate of a matrix prior to matrix inversion. Written in Radio Shack Level II BASIC. A beginner's guide to spectral analysis. Part 2. A few of the many uses of two-dimensional spectral analysis with emphasis on image processing. Includes a 6502 assemble language program for PET computer. Addition and subtraction. How the binary arithmetic operation of the 1802 and Z80 microprocessors differ. A simple approach to data smoothing. Techniques which aid in the interpretation of data taken from real-world situations. Includes a program written in BASIC. Recurrence in numerical analysis. Generating Fibonacci numbers and Bessel functions through recurrence. Programs given in BASIC. The use of Fourier transforms to explore biological rhythms. BASIC computer program to calculate power spectrum is included. An integer math package for the 8080 features eight 16-bit arithmetic routines. Written in assembly language. Faster multiplication routine for the Ohio Scientific BASIC. Numerical methods in data analysis. Use the Gauss-Jordan elimination and the Newton-Raphson method to find the function curve that best fits a set of emperical data. Mathematical modeling. A BASIC program to simulate real-world systems by solving a system of differential equations. Computing 'e' to 116,000 places with a personal computer. Programs given in 6502 machine-language and BASIC. Written for an Apple II computer. The infamous traveling-salesman problem. Also known as an NP-complete (nondeterministic polynomial) problem. Solution program is written in BASIC. Subroutine for the AIM-65 microcomputer which converts 16-bit binary numbers to decimal values. Binary-to-BCD converter program for the Intel 8080 microprocessor. Symbolic differentiation with LISP. Adapt the list-manipulation abilities of LISP to differentiating mathematical functions. A fast method for multiplication, the so-called "Russian Peasant Method". Multiple linear regression program for the TRS-80 Model I Level II computer. Written in BASIC. WRITELONG. A Pascal simulation of long-integer output. A fast approximation for fast fourier. Discusses strategies for minimizing the error of approximation. Program for converting numbers from one base to another. Designed to run on the TRS-80 Pocket Computer. Converts binary, octal, decimal or hexadecimal numbers to each of the other three bases. A 6502 assembly-language implementation of the binary to BCD (binary-coded-decimal) routine. The magic of the Monte Carlo method. Includes a BASIC program to calculate the area under a curve. Novel methods of integer multiplication and division are written in 8080 assembly language. A Gauss-Jordan elimination method program to solve simultaneous linear equations. Written in BASIC. Statistical programs for microcomputers. How to choose a statistics package that is easy to use and then test its accuracy with the tools described in this article. A computer-algebra-based calculating system. Using your computer as a super-calculator which will perform automatic unit conversion and prevent common errors. Fitting curves to data using the Simplex algorithm. Includes a program written in Pascal/Z. Invariance. A computer "card trick" and a look at number narcissism. The "eccentric jailer" program. Two versions. Written in BASIC. Includes an elegant program trick for "toggling". Hex-ASCII-Decimal conversion chart. Number systems for microcomputers. How binary, decimal, octal and hexadecimal systems work in relation to your computer. BASIC program tests a child's multiplication skills. Program for a Commodore C-64 computer which calculates trigonometric values of any right triangle. Useful when designing radio antennas, towers, masts, guy wires, etc. Analog multiplier IC's. Learn how to multiply, divide, square, and get square roots of analog variables using an analog multiplier. Solving linear equations. Scratchpad. A BASIC language program designed to record variables and calculated answers and retrieve them for later analysis. May be modified for various mathematical formulas. E-Z math (for electronics). New series focuses on mathematics used in electronics. How to transpose formulas. E-Z math (for electronics). Scientific notation and unit conversions. E-Z math (for electronics). Triangles and vectors. How to figure out what happens to current and voltage in a circuit with reactance. E-Z math (for electronics). Logarithms and decibels. E-Z math (for electronics). Understanding sinewaves, the basic alternating current waveform. E-Z math (for electronics). Low and high pass filter design. E-Z math (for electronics). The math of capacitors. E-Z math (for electronics). Understanding pulse signals for logical operations, motor control, communications, etc. E-Z math (for electronics). Network analysis and Thevenin's theorem. E-Z math (for electronics). Network analysis: Superposition theorem. E-Z math (for electronics). Norton's theorem and current sources. E-Z math (for electronics). Boolean algebra and logic circuits. A look at the mathematics of digital-logic circuits. Manipulating ASCII data. Converting ASCII-to-binary, binary-to-ASCII and ASCII arithmetic operations. Algebra the easy way. A BASIC language computer program to solve algabraic equations by trial and error. Can be used as a teaching aid. Subroutines to compute the arc sine and arc cosine of an angle. Written in BASIC. Sample routines to find all three-digit numbers for which the sum of the cube of the digits is equal to the number. Written in BASIC. CASH REGISTER, a practical math simulation program written in Radio Shack Level I BASIC. The child must make change when an item is paid for in whole dollar amounts. Computer math primer. A beginner's introduction to number systems, including binary, octal and hexadecimal. Flowchart and description tell how to program your own square root routine. Computer program in BASIC converts Metric measurements to American (English) equivalents. Universal number converter program is written in Commodore PET BASIC. It will convert any number written in base 2-to-16 to any other number in a different base (2-to-16). Programming the 1802. How to input and output data. How to perform addition, subtraction, and multiplication. BASIC routine prints the hex and octal equivalents of a decimal number from 1 to 255. BASIC program calculates the value of pi using the Leibnitz method. A metric and English equivalents program for the TRS-80 computer uses a particular form of GOTO statement found in the BASIC language. Large number (integer) addition program for the TRS-80 is written in BASIC. Overcomes the built-in number limitation by placing two numbers to be added into aligned arrays, adds them, and prints out the answer. Two programs for the TRS-80 for those interested in direct observation of randomness and normal distribution. (1) Random number demonstration. (2) Normal curve demonstration. Written in BASIC. How to utilize Apple's "hidden" floating-point routines (machine-language programs) which are stored in ROM starting at hexadecimal $F425. They do floating point arithmetic on four-byte floating point numbers. Subroutine to do large integer number subtraction on the TRS-80 computer and maintain accuracy down to the last digit. Written in BASIC. Square root routine written in Tiny BASIC. Long-division practice programs help teach mathematics. Written in BASIC for an OSI C2 4P computer. Lagranges interpolation formula for N random data points is programmed in BASIC for an SWTP 6800. Level II ROM subroutine test. Test program for the advanced assembly-language TRS-80 programmer. Lets you access and test many of the arithmetic and trigonometric subroutines in the TRS-80 Level II ROM. BASIC programs to calculate the area of complex and irregular geometric shapes. Simple function will round off an answer to a specified number of decimal places. Written in Applesoft BASIC. Multi-base calculator. Subroutines convert from decimal to other base number systems and back again. MAT functions. BASIC routines make arrays easy to handle. Math can be fun. BASIC program teaches children about addition, subtraction, multiplication and division by giving them simple problems and evaluating their answers. Multiple precision with micros. Part 1. How to write routines to calculate and display multiple precision computations. Multiple precision with micros. Part 2. Program to convert the Apple II hexadecimal code into inverted decimal code, and vice versa. Subroutines written in 6502 assembly language perform binary multiplication. Use a computer and the method of finite differences (difference calculus) to spot and correct incorrect data. Includes a difference calculus program applied to wind-chill data. Using the unique mathematical and programming technique called recursion. Using the Boolean XOR (exclusive OR) function. A look at computer techniques which present optimization solutions to people who have little time to develop expertise in mathematical programming. A BASIC program for performing the Romberg integration, a simple and effective numerical method for determining values of integrals. Numeric storage programming technique for BASIC will let you store integers from 0 through 255 in a single byte or integers from 0 through 65279 in two bytes. Programmers aid for converting number systems. Includes hexadecimal, split-octal, and decimal. A BASIC program to convert fractions to decimal equivalents written for the IBM PC. Calculator-like input routine for BASIC allows run time calculations and selection of preassigned variables as inputs. Program for formatting printed numeric output from the Atari 400 or 800 computer. Utility program is designed to convert numbers from one base value into another base value. Multiplication drill program. Computer aided instruction program to help a student learn to multiply. Written in BASIC. BASIC program to calculate the first 10,000 or so digits of pi. How to convert a decimal (or hexadecimal) value to its printable ASCII equivalent and vice-versa. A look at the aspect ratio of familiar image formats and how they compare to the divine proportion as defined by the Renaissance mathematician Lucas Pacioli. How to do multiplication and division on 8-bit processors. Includes an assembly language program for multiplication and division subroutines. Explanation of computer arithmetic which uses the floating point concept. Binary, octal and hexadecimal numbers. How to understand and apply the three basic numbering systems used in computer programming. Decimal multiplication program for the Sinclair ZX-80. A 16-bit math package for ELF computers. Software provides all basic mathematic functions and operations on a minimum 1802-CPU configuration. E-Z math (for electronics). Boolean laws and reduction. If you know a few Boolean laws, you can greatly simplify any logic circuit. E-Z math (for electronics). DeMorgan's theorem gives a set of rules and procedures for working with NAND and NOR circuits. E-Z math (for electronics). Binary numbers and arithmetic. An explanation of decimal, binary, octal and hexadecimal numbers. E-Z math (for electronics). Branch-current circuit analysis. E-Z math (for electronics). Loops, nodes and determinants. Digital electronics course. A new way to count. Explore the binary number system by following this hands-on training exercise. CMPX-CAL. This BASIC language computer program assists in AC-circuit analysis by making complex number calculations. Simultaneous-equation program is written in BASIC. Use to perform nodal analysis on electronic circuits. High-speed math shortcuts. A selection of time savers for practical, everyday figuring. Mathematics for the woodworker. Part 1. Mathematics for the woodworker. Part 2. Mathematics for the woodworker. Part 3. Mathematics for the woodworker. Part 4. Mathematics for the woodworker. Part 5. Integer multiplication and division routines for the 8080 microprocessor. A look at the Golden Mean, the Fibonacci principle that relates each number in a sequence to the numbers surrounding it. Applications of this to mathematics, architecture, art, etc. examined. Building your mathematical tool box. (1) Measuring circumference of the earth. (2) Measuring land and laying out square corners with the 3,4,5 triangle. (3) Measuring height of tall objects using shadows. (4) Rules of probability. (5) Measuring the circumference of a circle. (6) Topology and the Mobius strip. Brook Taylor and his wonderful series. How computers use a 300-year-old mathematical shortcut to evaluate complex functions. Basic statistics for the amateur scientist. Computer program, written in BASIC, represents a decimal value as a "continued fraction." An explanation of continued fractions and their application to astronomy. Facing fractions fearlessly. Rules and hints to help woodworkers deal with fractional measurements. A method for converting decimals to fractions. How to convert lineal feet to board feet. | |||||||||
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