A Calculus of Number Based on Spatial Forms - University of ...

More documents

Recommendations

Info

79 f = (([[(([][]) [(([[b]][]))])]])) Substitution = (([ ([][]) [(([[b]][]))] ])) Involution = (([ ([][]) ]) ([[(([[b]][]))]])) Distribution = (( [][] ) ([[(([[b]][]))]])) Involution = (( [] ) ([[(([[b]][]))]])) Inversion = (([[(([[b]][]))]])) Involution Dene g as the root expression. g : = (([[(([[b]][]))]])) The solutions are a function <strong>of</strong> g. = Denition <strong>of</strong> g = Distribution = ([]) Promotion = ([]) Collection = Collection = f Inverse Cancellation = ([g]) Denition <strong>of</strong> g = ([])([]) Promotion = ([g]) Distribution The solutions to the quadratic formula, ([a]([[x]][]))([b][x])c; are: x = ([(([[(([[b]][]))]]))]); x = ([]): which translate to x = ,b + p b 2 , 4ac 2a and x = ,b , p b 2 , 4ac 2a
Page 1 and 2:
A Calculus <strong
Page 3 and 4:
University ofWashi
Page 5 and 6:
4.2 The Two-Boundary Calcul
Page 7 and 8:
A.2 Functions : : : : : : : : : : :
Page 9 and 10:
LIST OF TABLES 1.1 Simple Calculati
Page 11 and 12:
as an undergraduate at the Universi
Page 14 and 15:
Chapter 1 INTRODUCTION Numb
Page 16 and 17:
3 Table 1.1: Simple Calculations in
Page 18 and 19:
5 contents, they are also drawn as
Page 20 and 21:
7 Table 1.4: Axioms of</str
Page 22 and 23:
Chapter 2 PRIOR WORK Boundary mathe
Page 24 and 25:
11 3 2 Given Number</stro
Page 26 and 27:
13 this system uses string rewrite
Page 28 and 29:
15 Table 2.3: Denition of</
Page 30 and 31:
17 Figure 3.1: The Void. Figure 3
Page 32 and 33:
19 connectivities denes the system
Page 34 and 35:
Chapter 4 INSTANCE AND ABSTRACT 4.1
Page 36 and 37:
23 The third rule creates new eleme
Page 38 and 39:
25 Distribution: (A[BC]) : =(A[B])(
Page 40 and 41:
27 Multiplication of</stron
Page 42 and 43: 29 Table 4.1: The Two-Boundary <str
Page 44 and 45: 31 transformations. 5.2.1 Elements
Page 46 and 47: 33 Inversion: A = : Equivalent Expr
Page 48 and 49: 35 Boundary integers add by collect
Page 50 and 51: 37 Multiplication requires manageme
Page 52 and 53: 39 Proof. Rational
Page 54 and 55: 41 For example, a half-cardinality
Page 56 and 57: Chapter 6 PHASE 6.1 Introduction Th
Page 58 and 59: 45 Using J, two concise and useful
Page 60 and 61: 47 The ambiguous sign makes the car
Page 62 and 63: 49 Table 6.1: Transcendentals in th
Page 64 and 65: Chapter 7 FUTURE WORK 7.1 Introduct
Page 66 and 67: 53 ematics problems could be phrase
Page 68 and 69: 55 boundary form, in search <strong
Page 70 and 71: 57 Technology interface sof
Page 72 and 73: 59 such asintegrals and Fourier tra
Page 74 and 75: 61 mulas specify how they transform
Page 76 and 77: 63 dominion A theorem stating that
Page 78 and 79: BIBLIOGRAPHY [1] B. Banaschewski. O
Page 80 and 81: 67 [28] L. Lamport. LaTeX: A Docume
Page 82 and 83: 69 A.2 Functions The standard algeb
Page 84 and 85: 71 Distribution of
Page 86 and 87: 73 Radians 1+e i =0 ([]) = Euler's
Page 88 and 89: 75 B.2 Square Root The following sq
Page 90 and 91: 77 The a coecient can now be remove
show all

A Calculus of Number Based on Spatial Forms - University of ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?