![]() Maurice Claypole BA, MA (Lond), Cert Ed, MCIL, FCollT, AITI, PhD studied at the University of London and other institutions earning his doctorate with a dissertation on the role of artificial intelligence in EFL in 1990. Interpretation of these things be quite the same. Leaves, feathers, flowers, rocks, mountains, torrents of water,Ĭarpets, bricks, and much else besides. Risk the loss of your childhood vision of clouds, forests, galaxies, This book or eBook is sold subject to the condition that it shall not, by way of trade or otherwise, be lent, re-sold, hired out or otherwise circulated without the publisher’s prior consent in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser.įractal geometry will make you see everything differently. LinguaBooks is an imprint of LinguaServe Gbr, Zerrennerstr. The Elsie Whiteley Innovation Centre, Hopwood Lane, Halifax HX1 5ER, United Kingdom ![]() No part of this publication may be reproduced, stored in a retrieval system or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the publishers. The image is licensed under the Creative Commons Attribution ShareAlike 3.0 License.Īll rights reserved. The image on the cover was created by Wolfgang Beyer with the program Ultra Fractal 3 and was retrieved from It shows step 11 of a Mandelbrot set zoom sequence featuring double spirals with satellites of the second order. Layout and design: Copyright © 2010 LinguaBooksįirst eBook edition: Copyright © 2016 LinguaBooksĪcknowledgements and thanks are due to TEFL-China, Warner Bros, BBC Worldwide, Sky News and Springer-Verlag for their kind assistance and permission to reproduce copyright material.Įvery effort has been made to trace the holders of intellectual property rights and the publishers will be happy to correct any mistakes or omissions in future editions. Maurice Claypole has asserted his right under the Copyright, Designs and Patents Act, 1988 to be identified as the author of this work. The Fractal Approach to Teaching English as a Foreign Language TO TEACHING ENGLISH AS A FOREIGN LANGUAGE When you are publishing a formula, you should make sure the DEBUG symbol is not defined, since the users of your formula will probably not appreciate the run-time messages.The Fractal Approach to Teaching English As a Foreign Language To make sure the Compiler Messages tool window is attached to the formula you want to debug, click the Reload button for the formula in one of the tabs of the Layer Properties tool window.īy not defining the DEBUG symbol, run-time messages are not generated. ![]() Run-time messages are printed to the Compiler Messages tool window. Use the print function to examine the values of variables while the formula is executed, so you can understand why it is not working properly. Int a int i = 5 a = 4 out of bounds, no run-time message print ( "Hello?" ) ignored $define DEBUG a = 3 out of bounds, causes run-time message print ( "Hello, world" ) causes run-time message Run-time messages are caused by an array index that is out of bounds, an assignment of incompatible arrays, or by the print function. To enable run-time messages, define the DEBUG symbol. They appear in the Compiler Messages tool window, where you can examine them. Run-time messages can be generated by a formula while it is executed. To debug a formula, you use run-time messages. The process of trying a formula and correcting it until it works is called debugging, because you are essentially removing bugs (programming mistakes). ![]() Although the compiler tries to catch most of the common mistakes and reports them as errors or warnings, some mistakes will go unnoticed until you try the formula. When you are writing complex formulas, it is likely that they will not immediately function as intended. ![]()
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