Motion planning is a core problem in robotics concerned with finding feasible paths for a given robot. Motion planning algorithms perform a search in the high-dimensional continuous space of robot configurations and exemplify many of the core algorithmic concepts of search algorithms and associated data structures. Motion planning algorithms can…

Lists a BASIC program which computes the equilibrium constant as a function of temperature. Suggests use by undergraduates taking a one-year calculus-based physical chemistry course. Notes the program provides for up to four species, typically two reactants and two products. (MVL)

Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (MVL)

Provides a listing of a software graphics program that investigates the law of reflection and Snell's law of refraction. Written in BASIC for the Apple II personal computer. (MVL)

Discusses the use of computers in chemistry courses at the United States Military Academy. Provides two examples of computer projects: (1) equations of state, and (2) solving for molar volume. Presents BASIC and PASCAL listings for the second project. Lists 10 applications for physical chemistry. (MVL)

Considers the development of a computer program for interactive, screen-oriented problem solving. Provides theoretical background and program development to determine internal energy, heat capacity, and entropy. Lists the program written in BASIC for Apple II computers. (MVL)

Notes two uses of computer spreadsheets in the chemistry classroom. Discusses the general use of the spreadsheet to easily provide changing parameters of equations and then replotting the results on the screen. Presents a molecular orbital spreadsheet calculation of the LCAO-MO approach. Supplies representative printouts and graphs. (MVL)

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

Discusses a software package that allows the user to solve mathematical problems, analyze data, plot graphs, and to examine mathematical models. Presents the attributes of the program and the available mathematical functions. Provides an example of pH calculations. (MVL)