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Spijker's lemma

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Spijker's lemma can be used to derive a sharp bound version of
122:"From the Buffon Needle Problem to the Kreiss Matrix Theorem" 120:
Wegert, Elias; Trefethen, Lloyd N. (February 1994).
8: 148: 7: 40:under a complex rational map with 14: 129:The American Mathematical Monthly 1: 24:is a result in the theory of 176:Theorems in complex analysis 197: 70:Kreiss matrix theorem 32:. It states that the 56:has length at most 2 181:Lemmas in analysis 96:Weisstein, Eric W. 99:"Spijker's Lemma" 26:rational mappings 188: 162: 152: 126: 109: 108: 196: 195: 191: 190: 189: 187: 186: 185: 166: 165: 141:10.2307/2324361 124: 119: 116: 94: 93: 90: 82:Buffon's needle 78: 66: 22:Spijker's lemma 12: 11: 5: 194: 192: 184: 183: 178: 168: 167: 164: 163: 135:(2): 132–139. 115: 112: 111: 110: 89: 88:External links 86: 85: 84: 77: 74: 65: 62: 30:Riemann sphere 13: 10: 9: 6: 4: 3: 2: 193: 182: 179: 177: 174: 173: 171: 160: 156: 151: 146: 142: 138: 134: 130: 123: 118: 117: 113: 106: 105: 100: 97: 92: 91: 87: 83: 80: 79: 75: 73: 71: 63: 61: 59: 55: 51: 47: 43: 39: 35: 31: 27: 23: 19: 132: 128: 102: 67: 64:Applications 57: 53: 21: 15: 46:denominator 18:mathematics 170:Categories 114:References 150:1813/7113 104:MathWorld 42:numerator 76:See also 52:at most 159:2324361 48:having 28:of the 157:  50:degree 38:circle 155:JSTOR 125:(PDF) 36:of a 34:image 44:and 145:hdl 137:doi 133:101 16:In 172:: 153:. 143:. 131:. 127:. 101:. 72:. 60:. 58:nĪ€ 20:, 161:. 147:: 139:: 107:. 54:n

Index

mathematics
rational mappings
Riemann sphere
image
circle
numerator
denominator
degree
Kreiss matrix theorem
Buffon's needle
Weisstein, Eric W.
"Spijker's Lemma"
MathWorld
"From the Buffon Needle Problem to the Kreiss Matrix Theorem"
doi
10.2307/2324361
hdl
1813/7113
JSTOR
2324361
Categories
Theorems in complex analysis
Lemmas in analysis

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