introduction the method of stationary phase

... one net advantages: the tax relief on debt interest Behind the use of WACC (the average of the costs of these sources of financing) as the NPV discount rate is the assumption of an unchanging capital ... gearing Two of these, the advantage of debt being ‘cheaper’ than equity and the disadvantage of the cost of equity rising because of increase financial risk, exactly offset each other This leaves ... other 2- Accounting rate of return (ARR) The rate of return on an investment that is calculated by taking the total cash inflow over the life of the investment and dividing it by the number of...

Ngày tải lên: 17/02/2014, 13:02

... solutions of 3.60 Clearly α t and β t are not the solutions of 3.60 and α t < β t , t ∈ 0, Also, the assumptions of Theorem 3.1 are satisfied Thus, the conclusion of Theorem 3.1 applies to the problem ... F f φ Then, the convergence of the sequence {αn } of approximate solutions (obtained in Theorem 3.1) is quadratic Proof Let us set en pen − qen x t − αn t 1 t ≥ so that en ηi , satisfies the boundary ... solutions of 3.16 Hence by Theorems 2.2 and 2.3, there exists a unique solution α1 of 3.16 such that α0 ≤ α1 ≤ β t , α1 ≤ M1 , t ∈ 0, 3.18 Boundary Value Problems Note that the uniqueness of the...

Ngày tải lên: 21/06/2014, 11:20

... a contradiction to the definition of t0 , so u t ≤ β t , for any t ∈ T1 , T2 Proofs of main results In this section, we will deal with the proofs of main results Proof of Theorem 1.1 From Lemmas ... is bounded By virtue of Schauder fixed point theorem, Φf u has at least one fixed point u in Cc,d Then, u is a solution of SBVP with 1.1 This completes the proof Proof of Theorem 1.2 Let d with ... Journal of Inequalities and Applications, vol 2008, Article ID 279306, pages, 2008 18 V V Zhikov, “Averaging of functionals of the calculus of variations and elasticity theory,” Mathematics of the...

Ngày tải lên: 22/06/2014, 03:20

... Correlation of the dipole moment with the Hammett constants of the substituents It is evident from the table II that electron-donating substituents on the phenyl ring increase the pKa of anilines ... substituents enhance planarity of the aniline framework, thereby shortening d(CN) The accompanying loss of electron density from the amino nitrogen atom decreases the pKa of the amino group Conversely, ... HyperChem software 7.52 to study the influence of substituents on some properties of compounds II Methods Hammett constants for the substituents were taken from [8] The pKa values for the aniline...

Ngày tải lên: 23/07/2014, 13:21

... yields the best number of stages and the proper transistor sizes to realize the minimum delay The path delay D is the sum of the delays of each of the stages of logic in the path As in the expression ... independent of the size of the transistors in the circuit The electrical effort h describes how the electrical environment of the logic gate affects performance and how the size of the transistors in the ... gate The branching effort B is the product of the branching effort at each stage along the path The electrical effort H is the ratio of the 23 1.5 Summary of the Method Table 1.4 Summary of terms...

Ngày tải lên: 29/07/2014, 16:21

... = − π L 0 L  For the following PDEs, what ODEs are implied by the method of separation of variables ? Solution : We can use the method of separation of variables to find the following ODEs ... ∂r  Inthe method of separation of var iables , we will find solutions in the product form c) u (r , t ) = φ ( r ) G ( t ) where φ ( r ) is only a function of r and G ( t ) is a function of t We ... From the equation u ( x, t ) = φ ( x ) G ( t ) where φ ( x ) is only a function of x and G ( t ) is a function of t We will get sec ond partial derivetive of u ( x, t ) with respect to t and the...

Ngày tải lên: 26/10/2014, 19:00

... [CheLi91], the latter method is a variant of the former one As far as we know, this method was used by Li and Zhu in [LiZhu95] A prior to the work by Li and Zhu, to make use of the method of moving ... this new method to (1.1) since the HardyLittlewood-Sobolev inequality does not work due to the presence of the negative exponent q The primary aim of this note is to reformulate the method of moving ... Following the method of moving spheres by Li and Zhu, Zhang and Hao first introduced the integral form of the method of moving spheres in [ZhaHao08] to provide a new proof for [CheLiOu06, Theorem...

Ngày tải lên: 14/10/2015, 07:54

... Finally, we underline that the earlier methods of evaluating the fractal dimension of limit sets of two-dimensional NSEs seems inapplicable here; in the case of the method of Lyapunov exponents (see ... fall into this category The beauty of these examples is also situated in the fact that properties of the solution change quite significantly Even more, the choice of the phase space X differs from ... What is the advantage of this alternative viewpoint on A? Clearly, instead of estimating the fractal dimension of A directly, we are given the possibility of estimating the fractal dimension of A‘...

Ngày tải lên: 29/10/2015, 14:19

... CV ∂x The previous studies show that the effective diffusivity Def f of silicon-self interstitial could be positive or zero, or negative The fig.1 is the graph of the effective diffusivity of silicon-self ... surface So the diffusion process of silicon-self interstitial is backward, i.e the diffusion flux of silicon-self interstitial is from the region of low concentration to the region of high concentration ... in the sky, so the dust and industrial exhaust concentration increases in earth’s atmosphere Based on the interesting properties of the backward diffusion, we propose a method of control of polluted...

Ngày tải lên: 31/10/2015, 10:39

... isomers and the CSP; the larger the difference, the greater the separation The observed retention and efficiency of a CSP is the total of all the interactions between the solutes and the CSP, including ... chiral separation.78-80 14 In HPLC, the characteristics of both the stationary phase and the mobile phase can affect the selectivity and performance The variety of these selective interactions can ... normal phase viii Phenylacarbamte CSP ETHE-3PC, ETHE-6PC and ETHE-11PC were prepared in different spacer lengths for the study of the effect of spacer length on the enantioseparation abilities of the...

Ngày tải lên: 16/09/2015, 17:13

... the difference in the free energy of the solute in the two phases, ∆H ° and ∆S ° are the enthalpy and entropy of the transfer of solute from the mobile phase to the stationary phase respectively ... that the enantioseparations of the CD CSPs are partially attributed to the spacer which kept the cavity of the chiral molecules away from the support surface.12 The length of the attachment of the ... relies basically on the distribution of a compound between two phases, one of which (the mobile phase) is moving with respect to the other (the stationary phase) The essential part of a chromatographic...

Ngày tải lên: 16/09/2015, 17:14

... that the statue’s arm is a part of the lump of bronze, even though it is correct to say that a part of the lump of bronze composes the arm For the part of the lump of bronze which composes the ... identical with it, then, it seems, by analogy with the statue and the lump of bronze, every part of the body must be a part of the person but not every part of the person can be part of the body: that ... lump composes the statue, every part of the lump is a part of the statue: for example, every particle of bronze in the lump is a part of the statue However, the reverse seems not to be the case:...

Ngày tải lên: 21/09/2012, 10:39

... lexemes by adding the affix -er to the stem form of the verb On the left side of the arrow, the requirements on the properties of the input words are specified, on the right side the formal and semantic ... (Salmon 2000), to refer to the study of the form of words In present-day linguistics, the term ‘morphology’ refers to the study of the internal structure of words, and of the systematic form–meaning ... that of the mental lexicon, the mental representation of lexical knowledge in the brain of the individual language user The mental lexicon of an individual is always smaller than the lexicon in the...

Ngày tải lên: 01/09/2013, 11:31

... Group of the University of Valladolid History of evaporative cooling Many examples of the application of the phenomenon of evaporative cooling can be found, such as the metabolic regulation of the ... temperature through the evaporation of sweat from the skin, the use of cooling towers or evaporative condensers, the cooling of pools by the evaporation of the water, etc Furthermore, it was the most widespread ... distributions [7] As the main resistance to heat-transfer can be found in the air on the dry face of the system, the advantage of the higher thermal conductance of metals than that of plastics is negligible...

Ngày tải lên: 05/09/2013, 16:10

... to the experiment, a stable water level in the reservoir was kept by the overhead tank Once the bottom of the capillary tube contacted with water in the reservoir, the dynamic movement of the ... K is the permeability, L is the length of the capillary tube, Pc is the macroscopic capillary pressure, φ is the porosity, µ1 and µ are the viscosity of water and air, and ρ1 and ρ are the density ... With the background above, the purpose of the present work was to present a novel laboratory method determining the hydraulic permeability of sand layer based on the capillary rise (CR) theory...

Ngày tải lên: 05/09/2013, 17:03

... sentence or two, and then tell the entire story of that theme: the history of salt; the fragility of democracy; the use and misuse of punctuation This book has no such unifying theme We did consider, ... Most of their theories sounded perfectly logical It was the roaring 1990s economy, they said, that helped turn back crime It was the proliferation of gun control laws, they said It was the sort of ... speeches about the wonderful opportunities of the global economy; they’ll be trying to keep body and soul together for people on the streets of these cities.” The smart money was plainly on the criminals...

Ngày tải lên: 17/10/2013, 18:20

... pulling their money out of the market at any price, it will force fund managers to sell shares of the stocks that they hold On the other hand, it is bullish because it sets the market up for the ... wrong in the stock market, this is a good time to make you aware of two of the most common stock scams The Pump and Dump The pump and dump is one of the easiest and most common ways of taking ... it the unsuspecting investors who bought into the hype They probably thought the price could go higher, so they never sold their shares 146 UNDERSTANDING STOCKS The pump and dump is one of the...

Ngày tải lên: 24/10/2013, 08:20

... conception of the whole of reality, we cannot hope to render compatible the theories and observations of the various different sciences: and providing that conception is not the task of any one of those ... if they mean to abandon reasoned argument altogether, even in defence of their own position, then I have Introduction nothing more to say to them because they have excluded themselves from further ... just such a conception is one of the principal tasks of metaphysics.3 The point of these remarks is to emphasise there cannot be progress either in the philosophy of mind or in empirical psychology...

Ngày tải lên: 01/11/2013, 07:20

... that these notions can then be used, without circularity, as the basis of a naturalistic account of the origin of mental content.16 The key idea here is to appeal to the biological theory of evolution ... we forget that the theory is also beset by other problems The problem of the specificity of content is one of these, which afflicts proposal (2) quite as much as proposal (1) (Another problem is ... to the normal causes of a given type of belief rather than simply to the actual 15 For a sophisticated version of the causal theory of representation, see Jerry A Fodor, Psychosemantics: The...

Ngày tải lên: 01/11/2013, 07:20