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Bounded growth

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125: 26:, occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate. Asymptotically, bounded growth approaches a fixed value. This contrasts with 109:
Kuhn, Moscibroda, and Wattenhofer, "On the Locality of Bounded Growth", ACM Symposium on Principles of Distributed Computing (PODC), July 17–20, 2005.
166: 190: 159: 185: 30:, which is constantly increasing at an accelerating rate, and therefore approaches infinity in the limit. 152: 132: 42: 8: 140: 112:
Gilchrist, Warren, "Statistical Modelling", John Wiley & Sons, Chichester, UK, 1984.
58: 27: 68: 63: 38: 34: 136: 179: 23: 124: 95:. Chichester, UK: John Wiley & Sons. p. 70(a); 71(b). 16:
Function increasing at a decreasing rate of increase
177: 86: 84: 160: 81: 167: 153: 90: 33:Examples of bounded growth include the 178: 119: 13: 14: 202: 123: 1: 74: 139:. You can help Knowledge by 7: 191:Mathematical analysis stubs 52: 10: 207: 118: 103: 91:Gilchrist, Warren (1984). 41:, and a simple modified 135:–related article is a 186:Mathematical modeling 133:mathematical analysis 93:Statistical Modelling 43:exponential function 59:Exponential growth 28:exponential growth 148: 147: 69:Logistic function 64:Gompertz function 39:Gompertz function 35:logistic function 24:asymptotic growth 198: 169: 162: 155: 127: 120: 97: 96: 88: 206: 205: 201: 200: 199: 197: 196: 195: 176: 175: 174: 173: 116: 106: 101: 100: 89: 82: 77: 55: 17: 12: 11: 5: 204: 194: 193: 188: 172: 171: 164: 157: 149: 146: 145: 128: 114: 113: 110: 105: 102: 99: 98: 79: 78: 76: 73: 72: 71: 66: 61: 54: 51: 45:like y = a + b 22:, also called 20:Bounded growth 15: 9: 6: 4: 3: 2: 203: 192: 189: 187: 184: 183: 181: 170: 165: 163: 158: 156: 151: 150: 144: 142: 138: 134: 129: 126: 122: 121: 117: 111: 108: 107: 94: 87: 85: 80: 70: 67: 65: 62: 60: 57: 56: 50: 48: 44: 40: 36: 31: 29: 25: 21: 141:expanding it 130: 115: 92: 46: 32: 19: 18: 180:Categories 75:References 53:See also 104:Sources 37:, the 131:This 137:stub 182:: 83:^ 49:. 168:e 161:t 154:v 143:. 47:e

Index

asymptotic growth
exponential growth
logistic function
Gompertz function
exponential function
Exponential growth
Gompertz function
Logistic function


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