length_of_day.xml Length of day : Shows how to calculate the length of day and the duration of twilight for any latitude and for any day of year, using some basic trigonometry.

pathfinding_with_a_star.xml Pathfinding with the A* Algorithm : Implements the pathfinding algorithm A* in Visual Basic 6.0. A GUI is provided as a test environment, featuring single step evaluation on user-defined grids, along with explanations.

xml_manual.xml XML Manual : Explains the syntax of the XML tags used on this site's pages, lists in what context they may be placed, and shows how they transform when running them against the used XSLT file. Some examples are provided as well.

formulas_with_xml.xml Formulas with XML : This page shows how to use XSLT and CSS to render mathematical XML markup into HTML on all browsers.

implementing_files_backup_plan.xml Implementing a Files Backup Plan : discusses requirements regarding the backup of computer files, and shows how to implement a robust backup scheme using a freeware program.

digital_terrain_analysis.xml Digital Terrain Analysis : An article series on how to obtain and render digital elevation models.

designing_isometric_avatars.xml Designing Isometric Avatars : An article series on how to design walking avatars in isometric environments.

detect_overlapping_subrectangles.xml Detect Overlapping Subrectangles : This article derives a formula to quickly test, if any two rectangles sharing a common subrectangle anywhere in their parental rectangles can merged to form a polygon with the shared subrectangle.

draw_orthogonal_polygons.xml Draw Orthogonal Polygons : This article describes, how a simple orthogonal polygon expressed as a list of vertex coordinates can be efficiently drawn into a bounding rectangular area such, that the interior of the polygon is given a distinct value unequal 0 and the exterior a value of 0 (or vice-versa).

solving_linear_recurrence_sequences.xml Solving Linear Recurrence Sequences : Accepts the first 3 terms of a linear recurrence sequence and shows step-by-step how to obtain the specific recurrence formula for that sequence, and also gives that sequence's closed form needed to calculate any desired sequence term directly.

visualising_the_euclidean_algorithm.xml Visualising the Euclidean Algorithm : Provides a step-by-step visualisation of the Euclidean algorithm in action for the two entered numbers and, if the numbers are to represent a fraction, also calculates the fraction in its most simple form.

using_the_quadratic_formula.xml Using the Quadratic Formula : Demonstrates step by step how the solutions of a quadratic equation can be found by using the quadratic formula.

miller_rabin_primality_test.xml Miller-Rabin Primality Test : Step-by-step demonstration of the Miller-Rabin primality test as per your input.

decimal_time.xml Decimal Time : Real time clock displaying the actual time as decimal time.

weather.xml?location=Schaffhausen;language=en-gb Weather : Using the Google weather API to obtain weather forecasts at your location for 4 days.

currency_converter.xml Currency Converter : Converts any currency into some of the most inportant currencies.