Motorola M500 Uživatelský manuál Strana 1

*ISSN 1350-8539M500 180

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

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

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 =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 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

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