LEADER 01240nam 2200337 n 450 001 996384611503316 005 20200824121354.0 035 $a(CKB)4940000000068238 035 $a(EEBO)2240900095 035 $a(UnM)ocm99885860e 035 $a(UnM)99885860 035 $a(EXLCZ)994940000000068238 100 $a19970911d1641 uy 101 0 $aeng 135 $aurbn||||a|bb| 200 10$aTo the honorable knights, citizens, and burgesses of the House of Commons, assembled in Parliament$b[electronic resource] $eThe humble remonstrance of William Davenant, anno 1641 210 $a[London? $cs.n.$d1641] 215 $a1 sheet ([1] p.) 300 $aImprint suggested by Wing. 300 $aReproduction of original in the British Library. 330 $aeebo-0018 606 $aBroadsides$zEngland$vEarly works to 1800 607 $aGreat Britain$xHistory$yCharles I, 1625-1649$vEarly works to 1800 615 0$aBroadsides 700 $aD'Avenant$b William$cSir,$f1606-1668.$0197821 801 0$bCu-RivES 801 1$bCu-RivES 906 $aBOOK 912 $a996384611503316 996 $aTo the honorable knights, citizens, and burgesses of the House of Commons, assembled in Parliament$92338441 997 $aUNISA LEADER 05232nam 2200673 a 450 001 9910141479203321 005 20230510094854.0 010 $a1-118-60317-6 010 $a1-299-18776-5 010 $a1-118-60302-8 010 $a1-118-60316-8 035 $a(CKB)2670000000327707 035 $a(EBL)1120767 035 $a(OCoLC)827207541 035 $a(SSID)ssj0000833241 035 $a(PQKBManifestationID)11966424 035 $a(PQKBTitleCode)TC0000833241 035 $a(PQKBWorkID)10935715 035 $a(PQKB)10595094 035 $a(OCoLC)827948760 035 $a(MiAaPQ)EBC1120767 035 $a(Au-PeEL)EBL1120767 035 $a(CaPaEBR)ebr10657659 035 $a(CaONFJC)MIL450026 035 $a(EXLCZ)992670000000327707 100 $a20111014d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractal geography$b[electronic resource] /$fAndre? Dauphine? 210 $aLondon $cISTE ;$aHoboken, N.J. $cWiley$dc2012 215 $a1 online resource (261 p.) 225 1 $aISTE 300 $aDescription based upon print version of record. 311 $a1-84821-328-X 320 $aIncludes bibliographical references (p. [221]-238 ) and index. 327 $aCover; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. A Fractal World; 1.1. Fractals pervade into geography; 1.1.1. From geosciences to physical geography; 1.1.2. Urban geography: a big beneficiary; 1.2. Forms of fractal processes; 1.2.1. Some fractal forms that make use of the principle of allometry; 1.2.2. Time series and processes are also fractal; 1.2.3. Rank-size rules are generally fractal structures; 1.3. First reflections on the link between power laws and fractals; 1.3.1. Brief introduction into power laws 327 $a1.3.2. Some power laws recognized before the fractal era1.4. Conclusion; Chapter 2. Auto-similar and Self-affine Fractals; 2.1. The rarity of auto-similar terrestrial forms; 2.2. Yet more classes of self-affine fractal forms and processes; 2.2.1. Brownian, fractional Brownian and multi-fractional Brownian motion; 2.2.2. Le?vy models; 2.2.3. Four examples of generalizations for simulating realistic forms; 2.3. Conclusion; Chapter 3. From the Fractal Dimension to Multifractal Spectrums; 3.1. Two extensions of the fractal dimension: lacunarity and codimension 327 $a3.1.1. Some territorial textures differentiated by their lacunarity3.1.2. Codimension as a relative fractal dimension; 3.2. Some corrections to the power laws: semifractals, parabolicfractals and log-periodic distributions; 3.2.1. Semifractals and double or truncated Pareto distributions; 3.2.2. The parabolic fractal model; 3.2.3. Log-periodic distributions; 3.3. A routine technique in medical imaging: fractal scanning; 3.4. Multifractals used to describe all the irregularities of a setdefined by measurement; 3.4.1. Definition and characteristics of a multifractal 327 $a3.4.2. Two functions to interpret: generalized dimension spectrumand singularity spectrum3.4.3. An approach that is classical in geosciences but exceptional in social sciences; 3.4.4. Three potential generalizations; 3.5. Conclusion; Chapter 4. Calculation and Interpretation of Fractal Dimensions; 4.1. Test data representing three categories of fractals: black and white maps, grayscale Landsat images and pluviometric chronicle series; 4.2. A first incontrovertible stage: determination of the fractal classof the geographical phenomenon studied 327 $a4.2.1. Successive tests using Fourier or wavelet decompositions4.2.2. Decadal rainfall in Barcelona and Beirut are fractionalGaussian noise; 4.3. Some algorithms for the calculation of the fractal dimensionsof auto-similar objects; 4.3.1. Box counting, information and area measurementdimensions for auto-similar objects; 4.3.2. A geographically inconclusive application from perception; 4.4. The fractal dimensions of objects and self-affine processes; 4.4.1. A multitude of algorithms; 4.4.2. High irregularity of decadal rainfall for Barcelona and Beirut; 4.5. Conclusion 327 $aChapter 5. The Fractal Dimensions of Rank-size Distributions 330 $aOur daily universe is rough and infinitely diverse. The fractal approach clarifies and orders these disparities. It helps us to envisage new explanations of geographical phenomena, which are, however, considered as definitely understood.Written for use by geographers and researchers from similar disciplines, such as ecologists, economists, historians and sociologists, this book presents the algorithms best adapted to the phenomena encountered, and proposes case studies illustrating their applications in concrete situations.An appendix is also provided that develops programs writ 410 0$aISTE 606 $aGeography$xMathematics 606 $aFractals 615 0$aGeography$xMathematics. 615 0$aFractals. 676 $a910.01/514742 700 $aDauphine?$b Andre?$0417449 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910141479203321 996 $aFractal geography$92078177 997 $aUNINA