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Tropical analysis

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204: 261: 64: 245: 302: 66:(unit for max, tropical addition) means "never before", while 0 (unit for addition, tropical multiplication) is "no additional time". 135: 326: 155: 238: 147:
Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications
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Litvinov, G. L. (2005). "The Maslov dequantization, idempotent and tropical mathematics: A brief introduction".
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The max tropical semiring can be used appropriately to determine marking times within a given
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Bernd Heidergott; Geert Jan Olsder; Jacob van der Woude (2005).
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and a vector filled with marking state at the beginning:
122:, Springer Monographs in Mathematics, Springer-Verlag, 183: 49: 58: 313: 72:is cryptography based on the tropical semiring. 296: 239: 150:. Princeton University Press. p. 224. 303: 289: 246: 232: 119:Max-linear Systems: Theory and Algorithms 98: 115: 92: 314: 255: 198: 13: 109: 53: 19:In the mathematical discipline of 14: 348: 191:working group, INRIA Rocquencourt 177: 259: 202: 82:, using the tropical semiring. 34: 16:Study of the tropical semiring 1: 85: 275:. You can help Knowledge by 218:. You can help Knowledge by 7: 327:Mathematical analysis stubs 165: 10: 353: 254: 197: 128:10.1007/978-1-84996-299-5 116:ButkoviÄŤ, Peter (2010), 59:{\displaystyle -\infty } 322:Abstract algebra stubs 271:–related article is a 214:-related article is a 60: 269:mathematical analysis 70:Tropical cryptography 61: 47: 27:is the study of the 21:idempotent analysis 80:algebraic geometry 56: 337:Tropical geometry 332:Tropical analysis 284: 283: 227: 226: 137:978-1-84996-298-8 76:Tropical geometry 29:tropical semiring 25:tropical analysis 344: 305: 298: 291: 263: 256: 248: 241: 234: 212:abstract algebra 206: 199: 172:Lunar arithmetic 161: 157:978-0-69111763-8 140: 104: 102: 78:is an analog to 65: 63: 62: 57: 352: 351: 347: 346: 345: 343: 342: 341: 312: 311: 310: 309: 253: 252: 195: 184:MaxPlus algebra 180: 168: 158: 138: 112: 110:Further reading 107: 88: 48: 45: 44: 37: 17: 12: 11: 5: 350: 340: 339: 334: 329: 324: 308: 307: 300: 293: 285: 282: 281: 264: 251: 250: 243: 236: 228: 225: 224: 207: 193: 192: 186: 179: 178:External links 176: 175: 174: 167: 164: 163: 162: 156: 141: 136: 111: 108: 106: 105: 100:math/0507014v1 89: 87: 84: 55: 52: 36: 33: 15: 9: 6: 4: 3: 2: 349: 338: 335: 333: 330: 328: 325: 323: 320: 319: 317: 306: 301: 299: 294: 292: 287: 286: 280: 278: 274: 270: 265: 262: 258: 257: 249: 244: 242: 237: 235: 230: 229: 223: 221: 217: 213: 208: 205: 201: 200: 196: 190: 187: 185: 182: 181: 173: 170: 169: 159: 153: 149: 148: 142: 139: 133: 129: 125: 121: 120: 114: 113: 101: 96: 91: 90: 83: 81: 77: 73: 71: 67: 50: 42: 32: 30: 26: 22: 277:expanding it 266: 220:expanding it 209: 194: 146: 118: 74: 68: 38: 35:Applications 24: 18: 316:Categories 86:References 54:∞ 51:− 41:Petri net 189:Max Plus 166:See also 154:  134:  267:This 210:This 95:arXiv 273:stub 216:stub 152:ISBN 132:ISBN 124:doi 318:: 130:, 31:. 23:, 304:e 297:t 290:v 279:. 247:e 240:t 233:v 222:. 160:. 126:: 103:. 97::

Index

idempotent analysis
tropical semiring
Petri net
Tropical cryptography
Tropical geometry
algebraic geometry
arXiv
math/0507014v1
Max-linear Systems: Theory and Algorithms
doi
10.1007/978-1-84996-299-5
ISBN
978-1-84996-298-8
Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications
ISBN
978-0-69111763-8
Lunar arithmetic
MaxPlus algebra
Max Plus
Stub icon
abstract algebra
stub
expanding it
v
t
e
Stub icon
mathematical analysis
stub
expanding it

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