LEADER 03162nam 22006855 450 001 996495170003316 005 20240222095554.0 010 $a981-19-5512-3 024 7 $a10.1007/978-981-19-5512-9 035 $a(MiAaPQ)EBC7108952 035 $a(Au-PeEL)EBL7108952 035 $a(CKB)25087701000041 035 $a(DE-He213)978-981-19-5512-9 035 $a(PPN)265857635 035 $a(EXLCZ)9925087701000041 100 $a20221010d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Theory of Uniformity and its Applications in Ecology and Chaos$b[electronic resource] /$fby Chuanwen Luo, Chuncheng Wang 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (100 pages) 225 1 $aSpringerBriefs in Mathematical Methods,$x2365-0834 311 08$aPrint version: Luo, Chuanwen Mathematical Theory of Uniformity and Its Applications in Ecology and Chaos Singapore : Springer,c2022 9789811955112 320 $aIncludes bibliographical references. 327 $aUniform Degree -- An Interpretation of Chaos by Uniform Degree -- Simulations on k Step Chaometry -- Applications of Uniform Degree in Forestry and Ecology. 330 $aThis book puts forward a new mathematical theory to study chaotic phenomenon. The uniform theory is established on the basis of two elementary concept of circle and externally tangent square in mathematics. The author studies the uniformity of a finite set of points distributed in space by uniform theory. This book also illustrates that uniform theory performs better than other indices such as entropy and Lyapunov exponent in chaos measurement by numerous examples. This book develops a new mathematical tool for studying chaos so it will be appealing to students and researchers interested in theory of chaos. It also has potential applications in various fields such as Forestry and Ecology. 410 0$aSpringerBriefs in Mathematical Methods,$x2365-0834 606 $aProbabilities 606 $aMathematics$xData processing 606 $aEcology 606 $aProbability Theory 606 $aComputational Mathematics and Numerical Analysis 606 $aEcology 606 $aEcologia$2thub 606 $aMatemātica$2thub 606 $aCaos (Teoria de sistemes)$2thub 608 $aLlibres electrōnics$2thub 615 0$aProbabilities. 615 0$aMathematics$xData processing. 615 0$aEcology. 615 14$aProbability Theory. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aEcology. 615 7$aEcologia 615 7$aMatemātica 615 7$aCaos (Teoria de sistemes) 676 $a929.374 700 $aLuo$b Chuanwen$01261531 702 $aWang$b Chuncheng 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996495170003316 996 $aMathematical Theory of Uniformity and its Applications in Ecology and Chaos$93562250 997 $aUNISA