Complex Plane

Expression 150: "V" Subscript, "l" "e" "n" , Baseline equals 50

100

150

Expression 151: "H" Subscript, "l" "e" "n" , Baseline equals "V" Subscript, "l" "e" "n" , Baseline

equals

151

Expression 152: "l" Subscript, "s" , Baseline equals 1

152

Show these to show grid and transformed grid points

153

Hidden Label: "G" Subscript, 1 , Baseline equals "G" left parenthesis, StartFraction, left parenthesis, "H" Subscript, "l" "e" "n" , Baseline , "V" Subscript, "l" "e" "n" , Baseline , right parenthesis Over 2 , EndFraction , StartFraction, negative left parenthesis, "H" Subscript, "l" "e" "n" , Baseline , "V" Subscript, "l" "e" "n" , Baseline , right parenthesis Over 2 , EndFraction , "l" , right parenthesis

Label

equals

left parenthesis, negative 25 , negative 25 , right parenthesis

left parenthesis, negative 24 , negative 25 , right parenthesis

left parenthesis, negative 23 , negative 25 , right parenthesis

left parenthesis, negative 22 , negative 25 , right parenthesis

left parenthesis, negative 21 , negative 25 , right parenthesis

left parenthesis, negative 20 , negative 25 , right parenthesis

left parenthesis, negative 19 , negative 25 , right parenthesis

left parenthesis, negative 18 , negative 25 , right parenthesis

left parenthesis, negative 17 , negative 25 , right parenthesis

left parenthesis, negative 16 , negative 25 , right parenthesis

left parenthesis, negative 15 , negative 25 , right parenthesis

left parenthesis, negative 14 , negative 25 , right parenthesis

left parenthesis, negative 13 , negative 25 , right parenthesis

left parenthesis, negative 12 , negative 25 , right parenthesis

left parenthesis, negative 11 , negative 25 , right parenthesis

2601 element list

154

Hidden Label: "K" left parenthesis, "G" Subscript, 1 , Baseline , right parenthesis

Label

equals

left parenthesis, negative 6.0 4 6 , negative 6.0 4 6 , right parenthesis

left parenthesis, negative 5.8 4 1 , negative 6.0 8 4 , right parenthesis

left parenthesis, negative 5.6 3 , negative 6.1 2 , right parenthesis

left parenthesis, negative 5.4 1 3 , negative 6.1 5 1 , right parenthesis

left parenthesis, negative 5.1 8 9 , negative 6.1 7 7 , right parenthesis

left parenthesis, negative 4.9 5 8 , negative 6.1 9 8 , right parenthesis

left parenthesis, negative 4.7 2 1 , negative 6.2 1 2 , right parenthesis

left parenthesis, negative 4.4 7 8 , negative 6.2 1 9 , right parenthesis

left parenthesis, negative 4.2 2 8 , negative 6.2 1 7 , right parenthesis

left parenthesis, negative 3.9 7 2 , negative 6.2 0 6 , right parenthesis

left parenthesis, negative 3.7 1 , negative 6.1 8 4 , right parenthesis

left parenthesis, negative 3.4 4 3 , negative 6.1 4 9 , right parenthesis

left parenthesis, negative 3.1 7 2 , negative 6.1 , right parenthesis

left parenthesis, negative 2.8 9 7 , negative 6.0 3 5 , right parenthesis

left parenthesis, negative 2.6 1 9 , negative 5.9 5 2 , right parenthesis

2601 element list

155

Values to manipulate for specific above functions

156

Expression 157: "a" Subscript, 0 , Baseline equals 1

negative 10

157

Expression 158: "b" Subscript, 0 , Baseline equals 20

negative 40

158

Expression 159: "c" Subscript, 0 , Baseline equals 0

negative 10

159

Hidden `C` "D" Subscript, 0 , Baseline equals left parenthesis, "d" Subscript, 01 , Baseline , "d" Subscript, 02 , Baseline , right parenthesis

Label:

equals

left parenthesis, 0 , 0 , right parenthesis

160

Expression 161: "d" Subscript, 01 , Baseline equals 0

negative 10

161

Expression 162: "d" Subscript, 02 , Baseline equals 0

negative 10

162

Hidden Label: "i" equals left parenthesis, 1 , 0 , right parenthesis

Label

163

Hidden Label: "j" equals left parenthesis, 0 , 1 , right parenthesis

Label

164

Expression 165: "l" equals StartFraction, 1 Over "l" Subscript, "s" , Baseline , EndFraction

equals

165

Grid Canvas

166

Riemann-Zeta Canvas

179

K=K(A) (plot a specific point against the function defined in config)

192

Matrix operations

209

Table of complex number norms

230

Non Cartesian grid shapes to be plotted

264

Polygons to be transformed

265

Polar Grid

279

Loopy parametric Curves

294

API and function descriptions

299

Extra Colours (not associated with a point)

341

Expression 342: "G" Subscript, "r" "a" "d" "l" "i" "s" "t" , Baseline equals "C" Subscript, "r" "a" "n" "g" "e" , Baseline left parenthesis, left bracket, 0 , 0 plus StartFraction, 1 Over "l" Subscript, "s" , Baseline "V" Subscript, "l" "e" "n" , Baseline , EndFraction ...1 , right bracket , right parenthesis plus "C" Subscript, "s" "t" "a" "r" "t" , Baseline

equals

2.4

4.8

7.2

9.6

14.4

16.8

19.2

21.6

26.4

28.8

31.2

33.6

51 element list

342

Expression 343: "C" Subscript, "r" "a" "n" "g" "e" , Baseline equals 120

360

343

Defines how much of the colour wheel you will see (ex: 120 degrees of the wheel)

344

Expression 345: "C" Subscript, "s" "t" "a" "r" "t" , Baseline equals 0

360

345

Defines what degree you start at

346

Expression 347: "G" Subscript, "r" "a" "d" "i" "e" "n" "t" , Baseline equals hsv left parenthesis, mod left parenthesis, "G" Subscript, "r" "a" "d" "l" "i" "s" "t" , Baseline , 360 , right parenthesis , 1 , 1 , right parenthesis

347

Expression 348: "B" Subscript, "i" "s" "e" "x" "u" "a" "l" , Baseline equals hsv left parenthesis, 90 left parenthesis, left bracket, 0 , 0 plus StartFraction, 1 Over "l" Subscript, "s" , Baseline "V" Subscript, "l" "e" "n" , Baseline , EndFraction ...1 , right bracket , right parenthesis plus 68 , 1 , 1 , right parenthesis

348

Expression 349: "Q" Subscript, "u" "e" "e" "r" , Baseline equals hsv left parenthesis, mod left parenthesis, 360 left parenthesis, left bracket, 0 , 0 plus StartFraction, 1 Over "l" Subscript, "s" , Baseline "V" Subscript, "l" "e" "n" , Baseline , EndFraction ...1 , right bracket , right parenthesis plus 180 , 360 , right parenthesis , 1 , 1 , right parenthesis

349

350