New Application Center Additions

Why Slopes of Perpendicular Lines Are Negative Reciprocals

2010-03-17T04:00:00

In this application, Robert Lopez explains why slopes of perpendicular Lines are negative reciprocals

recherche de formes et reconnaissance d'ecriture.

2010-03-15T04:00:00

C'est une application qui permet de trouver des formes désirées dans un dessin.

Ici le "dessin" est une matrice de 1 et de 0 ."on dessine avec des 1 " .

l'application permet aussi de reconnaitre une ecriture (" faite de 1") dans une matrice de 1 et de 0.

Classroom Tips and Techniques: Stepwise Solutions in Maple - Part 2 - Linear Algebra

2010-03-08T05:00:00

In our previous article we have discussed the commands, Assistants, Tutors, and Task Templates that implement stepwise calculations in algebra and calculus (both of one and several variables). In this month's article, we illustrate the stepwise tools available in linear algebra.

Control of a Single-Component Vaporizer

2010-03-01T05:00:00

A single component vaporizer with separate feed and heat controller to regulate the mass of fluid and temperature inside the vessel. The physical model includes custom components that calculate:

A mass balance

A heat balance

The specific enthalpy of the outlet vapour stream

The temperature in the vesse

The pressure in the vessel

The rate of vapour outflow

ASTROLABE MATHEMATICS

2010-02-27T05:00:00

After a very short introduction about the origin & the evolution of the astrolabe through ages, we go into the basic geometry behind its design and construction.
This involves:
1- the therory of STEREOGRAPHIC PROJECTION with two simple properties that we prove,
2- simple ANALYTIC GEOMETRY,
3- OBLIQUE CONE THEORY according to LEGENDRE.
We then explore the details of designing an astrolabe PLATE according to ancient constructors technics and today's technology using Maple powerful plotting engine. This resuls in a beautiful PLATE and on top of it the RETE. (See Figure below).
As a whole the article is a good exercise in Maple programming and a way to stimulate further interest in Astronomy.

Sum of a Geometric Series

2010-02-23T05:00:00

I will in this Maple worksheet briefly discuss the sum of a geometric series, more specifically the derivation of the formula Sum=a*(1-B^(n+1))/(1-B)

Variable Inertia

2010-02-22T05:00:00

This is a model of a shaft with an angle-dependent inertia. The VariableInertia custom component implements Newton's Second Law for a rotating body given a time-dependent inertia and an initial angle. A lookup table provides the inertias specified every 30 degrees, and the 1D Lookup Table component smoothly interpolates between these points. A step torque causes the shaft to rotate, and its angular velocity changes due to the variable inertia.

Quaternions, Octonions and Sedenions

2010-02-22T05:00:00

The algebra of the quaternions, octonions, and the sedenions.

Wedge Component

2010-02-22T05:00:00

Models the action of two frictionless wedges sliding against one another and defined by the slope between them

Electronic Wedge Brake

2010-02-22T05:00:00

A 12V DC motor is connected to a worm gear that pushed on the side of a wedge. The force and displacement of the wedge are directed 90-degrees towards the brake pad surface. The slope of the wedge determines the force and displacement ratio. The brake pad is modeled as a mass-spring-damper in contact the rotor, which is modeled as translational ground. The force applied to the rotor is measured with the Force Sensor component measures the applied force and provides this as the force input to the Brake component. A rotational inertia with an initial rotational speed is attached to the brake. At t = 1 sec, the motor is engaged and the braking force stops the wheel.

Ideal Y-Y Three-Phase Rectifier

2010-02-22T05:00:00

This is an ideal Y-Y connected three-phase rectifier. The primary and secondary sides of the transformer are both Y-connected with the star connector to establish ground. The three phases are then sent into the Universal Bridge subsystem, which consists of ideal diodes that perform full-wave rectification of the three phases. The load consists of a resistor and a capacitor. The capacitor filters the ripple present on V+ to provide the resistive load with a more stable voltage.

FRACTURE PROPAGATION IN THE INTERNAL PRESSURIZED VESSEL .

2010-02-20T05:00:00

** Abstract : -Calculating the maximum value Pmax that causes the fracture propagation while applying the internal static pressure . -Evaluating the time-limit for applying the continous / discrete form of internal dynamic pressure for the round metal vessel under conditions given by series expansion and curve -fitting method . ** Subjects: Fracture Mechanics , The stress intensity factor KI . This worksheet demonstrates Maple's capabilities in estimating the maximum pressure and the time-limit for applying static or dynamic pressure on the surface of a round metal vessel which has an internal semi-elliptical surface crack .

The Parrondo Paradox

2010-02-19T05:00:00

The Parrondo Paradox is an interesting game because such a game
claims to create positive expectancy from two games which
individually have negative expectancy. I will in this Maple worksheet
show that this is only possible in very specific circumstances.

Sum of an Arithmetic Series

2010-02-15T05:00:00

I will in this Maple worksheet briefly discuss the
sum of an arithmetic series by deriving the
((1+n)*n)/2 and the ((2+d*n-d)*n)/2 formulas

maplet de sudoku version 4

2010-02-12T05:00:00

amélioration de l'aléatoire par rapport à la version 3

utilisation de randomize(w) .

cette maplet créée sur maple 12 génère et résoud les sudokus.

Trend Following

2010-02-11T05:00:00

I will in this Maple worksheets discuss trend following.
I will use empirical data to analyze trend following returns
where the entry point is done in stocks with the highest
Sharpe ratio and the exit point is determined by a trailing stop loss.

Mean-Value Internal Combustion Engine Model: Real-Time Execution in NI Veristand™

2010-02-10T05:00:00

This is a version of a MapleSim Mean-value Engine model that has been prepared for export to Simulink®, NI LabVIEW™ and NI VeriStand™ for real-time implementation

Note that to complete the export to the target platform, you will need the corresponding MapleSim connector add-on.

For more information, please see: www.maplesoft.com/maplesim

Classroom Tips and Techniques: Stepwise Solutions in Maple - Part 1

2010-02-10T05:00:00

In Maple, there are commands, Assistants, Tutors, and Task Templates that show stepwise calculations in algebra, calculus (single-variable, multivariable, vector), and linear algebra. In this article we discuss Maple's functionality for providing these stepwise solutions to mathematical problems in algebra and calculus (both of one and several variables).

Translational Friction

2010-02-09T05:00:00

The Translational Friction block represents friction in contact between moving bodies.In this example, two models are created of a simple spring-mass-damper. The first example has no friction, the second one has the translational friction custom component.

Rotational Friction

2010-02-09T05:00:00

The Rotational Friction block represents friction between rotating bodies.