Motorola M500 Manuel d'utilisateur

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Page 1 - M500 180

*ISSN 1350-8539M500 180

Page 2 - The M500 Society and Officers

Page 8 M500 180my TI83 would accept without crashing. If you have only a few programsstored in your calculator you could leave the value within the Fo

Page 3 - Patrick Meehan

M500 180 Page 9Motorola 68000 microprocessor (a more powerful processor than the Z80).Hence, a Motorola 68000 Assembler will be needed for these calcu

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Page 10 M500 180Problem 180.1 – Two questions about trianglesJohn HulbertConsider a triangle ABC, with point D on AB, and point E on AC, suchthat CD =

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M500 180 Page 11Solution 178.7 – SeriesShow thatx1 − x−x31 − x3+x51 − x5−. . . =x1 + x2+x21 + x4+x31 + x6+. . . .John BullThis cannot be true for all

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Page 12 M500 180Solution 178.6 – Ten blocksTen pieces of various sizes slide round a board in the obviousmanner. Move the large square from the middle

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M500 180 Page 13The solution is given as a series of moves in the form Xn, where X is thename of the piece being moved and n is the number of the squa

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Page 14 M500 180Solution 178.2 – Construct another squareGiven a unit circle and its centre, construct a square of side oneunit, using only a ruler.Di

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M500 180 Page 15The full construction is as follows.Draw a diameter of the circle AB and name the centre O. Choose apoint P on the circle. Draw a line

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Page 16 M500 180The irascible geniusEddie KentWe use the word ‘bit’ quite a bit these days, and we are not talking of horses.Everyone except my mum kn

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M500 180 Page 17In 1958 he was back in MIT, and on his unicycle, made more perilousnow because he insisted on juggling as he proceeded. He also worked

Page 12 - John Hulbert

The M500 Society and OfficersThe M500 Society is a mathematical society for students, staff and friendsof the Open University. By publishing M500 and ‘MO

Page 13 - Solution 178.7 – Series

Page 18 M500 180Problem 180.4 – Favourite lottery numbersChris PileYou have eight favourite numbers. What is the minimum number of Na-tional Lottery t

Page 14 - Solution 178.6 – Ten blocks

M500 180 Page 19Fractal musicEddie KentEveryone knows what a fractal is. My on-board dictionary says it is ‘Ageometric pattern that is repeated at eve

Page 15 - Problem 180.3 – Fence

Page 20 M500 180A formal mathematical definitionNick PollockThis article attempts to express a definition of informal mathematics, thecontinuity of a fu

Page 16 - Dick Boardman

M500 180 Page 21logic. Given that the universe of discourse is R and that the relation > isdefined on R, there seems to be a couple of possibilities

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Page 22 M500 180f is not continuous at a if there is an  > 0 such that for all δ > 0there is an x satisfying |x − a| < δ such that |f(x) − f

Page 18 - The irascible genius

M500 180 Page 23Distances from the centroidSebastian HayesIn M500 175, Barry Lewis uses complex numbers to derive a most interest-ing result:Given any

Page 19 - What do they mean?

Page 24 M500 180A ‘solution’ to the St Petersburg paradoxMartin CookeSome mathematicians ‘solved’ this paradox (see my reference [1] of M500178 35) by

Page 20 - Barbara Lee

M500 180 Page 25think it to be irrational not to play this game, once, for a trillion pounds.However, if you were to advise others to be as rational,

Page 21 - Fractal music

Page 26 M500 180Letters to the EditorsRe: Problem 178.1 – Lottery guarantee.Dear Tony,With regard to the argument that 18424/20 tickets are required,

Page 22 - Nick Pollock

M500 180 Page 271 + 1 = 2Dear Tony,Maybe I can clarify Malcolm Fowler’s question [M500 178 36] concern-ing the relationship between Russell and Whiteh

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M500 180 Page 1Developing a fractal program for a TI83 calculatorPatrick MeehanThis article will explain the procedure for developing programs for Tex

Page 24 - Martin Cooke

Page 28 M500 180Tom Dale’s and Max Bramer’s question: surely thousands of readersare going to see this one. Can hardly be bothered to say that the nex

Page 25 - Distances from the centroid

M500 180 Page 29Twenty-five years agoFrom M500 33 & 34John Parker—A goat is tethered to a point on the perimeter of a circu-lar silo. The length of

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Contents M500 180 – June 2001Developing a fractal program for a TI83 calculatorPatrick Meehan . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Page 27 - Gordon Alabaster

Page 2 M500 180An assembler shell allows a TI calculator to run machine code programs(the language that the processor directly executes, unlike the in

Page 28 - Letters to the Editors

M500 180 Page 3So, connect the black link communications lead between the TI83 anda serial port of a PC. From the Link menu option of TI-Graph Link se

Page 29 - Calendar

Page 4 M500 180calculator by highlighting it using the cursor keys and pressing enter. Theonboard ROM of the calculator will be downloaded to your PC.

Page 30 - John Bull

M500 180 Page 5-4->Xmin Else4->Xmax If L6(Q)<C0->Ymin Then10->Ymax J*L4(Q)+K*L5(Q)->L4(Q+1)AxesOff Else0.75->A 0->L4(Q+1)0.85-

Page 31 - Twenty-five years ago

Page 6 M500 180The last command within the For loop, Pt-On(L4(Q), L5(Q)), plots thelast calculated values for the X and Y coordinates. Once the For lo

Page 32 - Contents M500 180 – June 2001

M500 180 Page 7the saved backup file. With the TI calculator switched on and connected toa PC start up TI-Graph Link. Select the Link menu option and t

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