Lets compare the 1 value for both single-precision and double-precision numbers.Īccording to the distribution, the gradation values are increasing, which leads to the error increase. Figure 3.2.2d Double-Slit Geometry This gives us precisely the relationship between x and that we were looking for: (3.2.2) x d sin Now all we have to do is put this into the expression for total destructive and maximally-constructive interference. The gradation of the numbers equals to 2 ^ (E-150) for single-precision numbers, and 2 ^ (E-1075) for double-precision numbers.
As the possible gradation is doubled when the exponent is incremented, the error is increased too. The maximum absolute error for a number is equal to the half of the possible gradation. The function of the error is shown below: The points are regarded without any ordering.As the numbers of the IEEE 754 format present a finite set, onto which the infinite set of real numbers is transmitted, the output value may consist a representation precision error, which in further calculations cause the error accumulation. point set - again a list of an even number of coordinates, but.
The missing segment is automatically added). The polyline is closed (if the first and last points do not coincide,
polygon - like a polyline, but the implicit assumption is that. It has plane waves hitting a barrier at x0 and passing through two slits in the barrier at points A. Interpreted as the x- and y-coordinates of an ordered set of points. This demonstration shows the Double-slit experiment. polyline - a list of an even number of coordinates,. X- and y-coordinates of the first and the last points on the line (planar) elements are thin-plate elements such that two coordinates define a. line segment - a list of four coordinates, interpreted as the Getting the books Geometry Chapter 10 now is not type of challenging means. Y-coordinates of two distinct points on the line. The time-dependent Schrodinger equation in prolate spheroidal coordinates is solved to extract the angle-differential cross section of the photo-electron. line - a list of four coordinates, interpreted as the x- and. point - a list of two coordinates representing the x- and. Pairs and the context in which they are used: a list of four elementsĬan be regarded as an infinite line, a finite line segment but alsoĪs a polyline of one segment and a point set of two points.Ĭurrently the following types of objects are distinguished: The various types of object are recognised by the number of coordinate Y-coordinate of a first point and the x- and y-coordinates of a second The geometrical objects are implemented as plain lists of coordinates.įor instance a line is defined by a list of four numbers, the x- and The math::geometry package is a collection of functions forĬomputations and manipulations on two-dimensional geometrical objects, ::math::geometry::angle line ::math::geometry::calculateDistanceToLine P line ::math::geometry::calculateDistanceToLineSegment P linesegment ::math::geometry::calculateDistanceToPolyline P polyline ::math::geometry::findClosestPointOnLine P line ::math::geometry::findClosestPointOnLineSegment P linesegment ::math::geometry::findClosestPointOnPolyline P polyline ::math::geometry::lengthOfPolyline polyline ::math::geometry::movePointInDirection P direction dist ::math::geometry::lineSegmentsIntersect linesegment1 linesegment2 ::math::geometry::findLineSegmentIntersection linesegment1 linesegment2 ::math::geometry::findLineIntersection line1 line2 ::math::geometry::polylinesIntersect polyline1 polyline2 ::math::geometry::polylinesBoundingIntersect polyline1 polyline2 granularity ::math::geometry::intervalsOverlap y1 y2 圓 y4 strict ::math::geometry::rectanglesOverlap P1 P2 Q1 Q2 strict ::math::geometry::bbox polyline ::math::geometry::pointInsidePolygon P polyline ::math::geometry::rectangleInsidePolygon P1 P2 polyline ::math::geometry::areaPolygon polygon DESCRIPTION
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