the mathematics of the arabs

... you They will get lost in your text and either give up or come out the other end not knowing what it is they have read What about the second element of the formula, de-emphasise what is of secondary ... Therefore, whilst the underlying principles of good writing and good speaking are constant, the way they are applied can be markedly different In the 'I' of the Storm: the Simple Secrets of Writing ... stop them from reading it! There are various methods to generate such a strong desire to read, depending on the type of readers and the type of information Whatever the most appropriate device, the...

Ngày tải lên: 10/12/2013, 05:15

... to the right of the decimal is less than (4, 3, 2, 1, or 0), then ignore all digits after the second one to the right of the decimal Example: In the number 98.74285, the third digit after the ... digits to the right of the decimal place, for example, 98.74 rather than 98.74285 To round off to two decimal places, you must examine the third digit to the right of the decimal ● If the third ... the use of or inability to use the work, even if any of them has been advised of the possibility of such damages This limitation of liability shall apply to any claim or cause whatsoever whether...

Ngày tải lên: 21/12/2013, 01:19

Ngày tải lên: 21/12/2013, 02:15

... margin (they would be the same whatever the size of the margin) Rather, the profits and losses are the product of the exposure of unit (1 futures contract) The amount put up as margin is further ... axis being the geometric mean, the other being the value for f itself The higher the geometric mean at the optimal f, the better the system, Also, the lower the optimal f, the better the system ... will spend 97.6% of the time on the same side of the origin! With a probability of 5, we can expect the equity curve to spend in excess of 85.35% of the time on the same side of the origin That...

Ngày tải lên: 23/03/2014, 23:20

... conjugate of the complex number z In[5]: ?Abs Out[5]: Abs[z] gives the absolute value of the real or complex number z In[6]: ?Arg Out[6]: Arg[z] gives the argument of z DRAFT of Mathematics of the ... In[2]: ?Re Out[2]: Re[z] gives the real part of the complex number z In[3]: ?Im Out[3]: Im[z] gives the imaginary part of the complex number z DRAFT of Mathematics of the Discrete Fourier Transform ... EULER’S THEOREM The special case k = is called the primitive M th root of unity, since integer powers of it give all of the others: ej2πk/M = ej2π/M k The M th roots of unity are so important that they...

Ngày tải lên: 31/03/2014, 15:21

... such Greek is the delta, which is the rate of change of the option premium with respect to the price of the underlying The delta is thus the slope of the tangent line to the graph of the option ... mathematics Nevertheless, since the subject of this book is the mathematics of finance, I have not watered down the mathematics in any way (appropriate to the level of the book, of course) That ... after the short sale, the buyer of the stock, who is the owner of record, will receive that dividend On the other hand, the lender of the shares is also entitled to the dividend Therefore, the...

Ngày tải lên: 31/03/2014, 22:21

... to preserve the character of the original volume The book contains a collection of mathematical solutions of the differential equations of diffusion and methods of obtaining them They are discussed ... would be 'Mathematical solutions of the diffusion equation', for it is with this aspect of the mathematics of diffusion that the book is mainly concerned It deals with the description of diffusion ... nor are theories of the mechanism of diffusion in particular systems included The mathematical theory of diffusion is founded on that of heat conduction and correspondingly the early part of this...

Ngày tải lên: 02/04/2014, 15:44

... mix them together, then among the states of one mole of nitrogen that can be reached adiabatically there is one in which the energy is the sum of the two energies and, likewise, the volume is the ... suffer from mixing the physics with the mathematics Physics refers to the real world of experiments and results of measurement, the latter quantified in the form of numbers Mathematics refers to ... stability reveals its true character in the statement of closedness in the usual topological sense The following proof has some of the spirit of the proof of Lemma 3.1 Theorem 3.1 (Forward sectors are...

Ngày tải lên: 24/04/2014, 17:14

... depends on the expected return of all the asset returns in the portfolio) and the variance of the portfolio’s return (which depends on the variance of the return of all of the assets in the portfolio ... Testing The CAPM Deriving the Empirical Analogue of the CML Empricial Implications General Findings of Empirical Tests of the CAPM A Critique of Tests of the CAPM Merton and Black Modifications of the ... forces One is the variability of the price as measured, say, by some measure of dispersion of the relative price over time The greater the variability, the greater the probability of the market...

Ngày tải lên: 08/05/2014, 10:10

... that are already of great interest to a broad spectrum of the scientific community The Mathematics of Combustion is the second volume in this series The first is The Mathematics of Reservoir Simulation, ... early development, analogous to (51) for the thermal model, is described by 16 THE MATHEMATICS OF COMBUSTION The nature of the solution depends on the value of D If D is small, termination dominates; ... much of the physics of high Mach number combustion waves that the notion that the dynamical behavior of the solutions (the focus of Stewart's work) can cast no useful light on the dynamics of physical...

Ngày tải lên: 31/05/2014, 01:52

... refers to the fifth problem in Chapter The symbol indicates the end of an example, and the symbol indicates the end of a proof Many of the theorems in the book are given names (for example, The Compound ... to the Mathematics of Money David Lovelock Marilou Mendel An Introduction to the Mathematics of Money Saving and Investing A Larry Wright David Lovelock Department of Mathematics University of ... be be be the the the the the the initial principal (present value, lump sum) invested, total number of interest periods, future value of P0 at the end of the nth interest period, number of interest...

Ngày tải lên: 28/06/2014, 21:20

... (the foot of the ovule) into the micropyle (the entrance of the ovule) following gradients generated by the maternal tissues of the ovule and by the female gametophyte An embryo sac contains the ... least) the diameter of the tube The model also assumes that the change in concentration across the tip of the tube is much less than the average concentration at the tip Despite being affected by the ... ovules to test the hypothesis of whether the system is sufficient to provide attraction to the pollen tube; this would validate the existence of gradients of attractants secreted from the ovules...

Ngày tải lên: 06/08/2014, 19:21

... C-vector [20] The eigenvector components are the coefficients of the Pauli matrices in the decomposition of the Jones matrix: this is identical to the definition of the C-vector The components of the C-vector ... has a positive determinant so that the sign of the determinant of m0 indicates the sign of the determinant of mÁ The assumption that the eigenvalues all have the same sign is reasonable, especially ... 0 0:993 The eigenvalue ratio, the ratio of the negative eigenvalue to the dominant eigenvalue in decibels, is a measure of the closeness to realizability For this example the ratio of the largest...

Ngày tải lên: 19/04/2016, 11:39

... Space Model of Colour Model responses of the cones as λmax ci = si (λ)f (λ)dλ, i = : 3, λmin where f = spectral distrib of light, si = sensitivity of ith cone, [λmin , λmax ] = wavelengths of visible ... Space Model of Colour Model responses of the cones as λmax ci = si (λ)f (λ)dλ, i = : 3, λmin where f = spectral distrib of light, si = sensitivity of ith cone, [λmin , λmax ] = wavelengths of visible ... Retina has types of cones ⇒ trichromatic theory Nick Higham Digital Photography / 46 What is Color? Human perception; depends on light source Retina has types of cones ⇒ trichromatic theory Why does...

Ngày tải lên: 29/08/2016, 10:53

... Preface The present book developed out of lectures and seminars held over many years at the Department of Mathematics of the Freie Universităat Berlin, the Department of Linguistics of the Universităat ... again, the discussion will be rather abstract, focusing on mathematical tools rather than the actual formulation of the theory Anyhow, there are good introductions to the subject which eliminate the ... use the symbols s for the union, t for the intersection of two sets Instead of the difference symbol M N we use M N denotes the empty set M denotes the set of subsets of M, f in M the...

Ngày tải lên: 29/08/2016, 10:54

... based on the age of the car It’s therefore typical for the age of the car to appear in the leftmost column I could have put the car ’s age in the middle column (of Table 1.2) or in the right column ... grasp The histograms I’ve just shown aren’t the only kinds of histograms; there are many variations on the theme For the purposes of this book, however, these are enough 18 Chapter Background Mathematics ... identically the average speed (Figure 1.8) Mathematically, the property of a line describing the change in the vertical axis over the length of the line divided by the change in the horizontal...

Ngày tải lên: 18/11/2016, 08:45

... pays the premium to the writer of the option Later on, the holder of the option might be able to exercise it and will receive from the writer the corresponding payoff The gain of one party is the ... price One of the topics we cover later is the pricing of options The price of an option (like the price of a bond and the price of a stock) will depend on a number of factors Some of these factors ... S(T ) − F(t) This is the same as the payoff of the corresponding forward contract, except the payoff is paid throughout the life of the contract, rather than at maturity The investor, however,...

Ngày tải lên: 03/03/2017, 16:54

... certificate of deposit near the end of 2007 The simple interest rate is 7.22%, and the bank calculates interest using the exact method, using the exact number of days in the year Thirty-nine days of the ... 36 • Convert the loan date to a Julian date • Add the days in the term • Convert the result to a calendar date by finding it in the day of the year table Find the maturity date of a 135 day note ... 36 • Convert the maturity date to a Julian date • Subtract the days in the term • Convert the result to a calendar date by finding it in the day of the year table Find the date of a 200-day note...

Ngày tải lên: 06/03/2017, 12:16

... the same with the squared Y differences Take the square root to the sum of the squared X differences you just found in step Now the same with the Y's by taking the square root of the sum of the ... differences Multiply together the two answers you just found in step 7—that is, multiply together the square root of the sum of the squared X differences by the square root of the sum of the squared Y differences ... money put up as margin (they would be the same whatever the size of the margin) Rather, the profits and losses are the product of the exposure of unit (I futures contract) The amount put up as margin...

Ngày tải lên: 31/03/2017, 08:43