Deterministic Methods in Systems Hydrology - Chapter 1 pdf

... overland flow 16 9 8.3 Linearisation of non-linear systems 17 8 8.4 Non-ling black-box analysis 18 8 8.5 Concept of uniform non-linearity 19 2 - 20 - Equiva lence theorem De- convolution ... y     (1. 15b) Where the weights are non-vegative real numbers that sum to one: 1 0, 1 n i i a a    (1. 15c) Iterating this recurrence relation gives 1 1 1...

Ngày tải lên: 10/08/2014, 01:21

... formulated in systems terms, it is clear that the problem of deriving a unit hydrograph is one of solving an integral equation (1. 15) in the continuous case and solving a set of simultaneous linear ... II again invokes time-invariance by comparing two storms and invokes linearity in assuming proportionality of the runoff ordinates. Proposition III is an alternative statement of th...

Ngày tải lên: 10/08/2014, 01:21

... outside the interval of integration and consist of an infinite series in which each term refers to a definite discrete frequency. If the interval of integration is increased indefinitely, the ... from minus infinity to plus infinity with respect to a weighting function exp(-t 2 ). Thus the Laguerre polynomials have the property - 40 - Unit matrix Matrix CHAPTER 3 Some S...

Ngày tải lên: 10/08/2014, 01:21

... Random error Mean for 10 % error 37 0. 01 6.7 21. 3 14 .0 31 0.08 6.7 20.9 13 .6 27 0 .15 6.7 18 .9 12 .8 17 0.7 5.9 11 .9 8.9 15 1. 0 4.5 10 .6 7.6 13 1. 5 4.5 9.6 7 ,1 11 2.3 4.7 8.8 1. 0 9 3.4 5.3 7.8 ... Collins method 0.09 x 10 - 3 5.8 27.7 16 .8 Least squares 0.29 x 10 - 3 6.6 21. 5 14 .1 Regularisation 3 .1 x 10 - 3 4.3 11 .5 7.9 z-tran...

Ngày tải lên: 10/08/2014, 01:21

... a single linear reservoir. - 89 - Lateral inflows Uniform lateral inflow routing of the remainder of the inflow through the remaining (n -1 ) reservoirs. This is equivalent to the inflow ... 9 2-9 8), which deals with ten numbered one-parameter models ( 1- 1 0), ten two-parameter models (1 1- 2 0), and four three-parameter models (2 1- 2 4). The use of a shape-factor...

Ngày tải lên: 10/08/2014, 01:21

... i p 11 0.6.26 0 .12 60 0.0036 0 .13 81 14 12 0.3776 0.4623 0.0085 0 .14 12 16 13 0.3776 0.3478 0.0070 0 .14 35 16 14 0.3776 0. 411 8 0.0083 0 .14 64 16 16 0.3776 ... 0.00 61 0 .14 05 16 17 0.3776 0.9543 0.0086 0 .13 05 15 19 0.3776 0.3 479 0.0074 0 .14 07 16 20 0.3776 0.4256 0.0083 0 .14 61...

Ngày tải lên: 10/08/2014, 01:21

... will integrate to - 13 5 - 1 1 1 S f K K x     (7.82a) or in integrated form 1 1 0 1 ( ) 1 ( ) f S x x x K          (7.82b) Since the moisture content is no longer constant in ... physical principles governing subsurface flow can be found in the appropriate chapters of such references as Muskat (19 37), Polubarinova-Kochina (19 52), Luthin (19 57)...

Ngày tải lên: 10/08/2014, 01:21

... (19 83, 19 84 and 19 86) at the Institute of Geophysics in Warsaw. - 15 6 - Apparent unit hydrograph Linearisation of the equations for open channel flow 8.3 LINEARISATION OF NON-LINEAR SYSTEMS ... black - box analysis Inherent non - linearity A second line of approach to non-linear systems is to accept the non-linearity and to attempt to develop a non-...

Ngày tải lên: 10/08/2014, 01:21

... Veterinary Medicines in the Natural Environment 11 3 5.5 .1 Episodic Exposures 11 4 5.5.2 Matrix Effects 11 4 5.5.3 Metabolites and Degradates 11 5 5.5.4 Mixtures 11 6 5.5.5 Enantiomer-Specic Hazard 11 7 5.5.6 ... acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number -1 3 : 97 8 -1 -4 20 0-8 42 4-5 (Hardcover) This book contains information obtained from a...

Ngày tải lên: 18/06/2014, 22:20