... abab}, and {aa, ab, aab, ba, bb, bab} The first of these is the union of {a} and {b}, the second is the concatenation of {a} and {b}, the third is the union ofthe first and second, the fourth is the ... (n) is the set of prime factors of n e (Here A is the set of all finite sets of primes and B is the set N − {0}.) g : A → B, where g(S) is the product ofthe elements of S (The product ofthe elements ... close resemblance ofthe statements 1–3 to the recursive definition of Expr The outline ofthe proof is provided by the structure ofthe definition We illustrate the technique of structural induction...
... to thetheoryof light – provided that the speeds are less than about 300mph (which is certainly the situation at take ofand landing) he rôle of viscosity is important in aerofoil theory, and ... on the ad to read more Fluid Mechanics andtheTheoryof Flight Introduction and Basics Note: A steady low is one for which the velocity ield is independent of time, and then the families of ... Mechanics andtheTheoryof Flight Introduction and Basics that the low is uniform at all sections away from the junction, and that the luid completely ills both the feed pipe andthe two branch...
... affected by the creation and use of fiat-money Crucial to this purpose is the functional separation that thetheory operates between banks and firms The macroeconomic focus ofthe theory, however, ... creating and advancing liquidity to producers; along the circuit, the financial system governs the supply and demand of funds and, at the end ofthe process, it determines the condition for the closure ... institutions and strengthen the complementarity between the formal andthe informal sectors The poorest people of rural and urban societies live beyond the frontier of formal finance, or outside the formal...
... k e ) PO = the current price ofthe stock DIV1 = the dividend paid at the end of year ke = the required return on investment in equity P1 = the sale price ofthe stock at the end ofthe first ... Pt + C Pt R = the rate of return on the security Pt+1 = price ofthe security at time t+1, the end ofthe holding period Pt = price ofthe security at time t, the beginning ofthe holding period ... Rationale Behind theTheory Rof > R* ⇒ Pt ↑ ⇒ Rof ↓ Rof < R* ⇒ Pt ↓ ⇒ Rof ↑ until Rof = R* In an efficient market all unexploited profit opportunities will be eliminated Stronger Version ofthe Efficient...
... THE CONCEPT OFTHE VALUE OF MONEY Subjective and Objective Factors in theTheoryofthe Value of Money The Objective Exchange-Value of Money The Problems Involved in theTheoryofthe Value of ... to the more abstract parts ofthetheoryofthe value of money Professor von Mises shares with Marshall and one or two others the merit of having assimilated the treatment of this theory to the ... categories ofthe pure theoryof value: and his emphasis in the course of this assimilation on the relation between uncertainty andthe size ofthe cash holding andthe dependence of certain...
... reliability level of 05 DISCUSSION The analysis ofthe characteristics ofthe most attractive and most unattractive places in the city TABLE Correlations between the aesthetic attributes andthe Perceived ... how often they visited or walked by their first choice Once they had completed the ‘‘attractive’’ places section, participants were asked to place themselves on the other side ofthe aesthetic ... 1997) two types of variable in the context of urban design: Attributes of formal aesthetics and attributes of symbolic aesthetics Among the former, the authors highlight ‘‘openness’’ (and/ or spaciousness),...
... issues of project management theory2 as the status and foundations of project management theory (subsection 1.1) andthe nature and life cycle of projects (subsection 1.2) 1.1 Project management theory ... the circumstances surrounding the Manhattan project were extreme andthe purpose ofthe project can be discussed Nevertheless, regardless of what one may think ofthe purpose ofthe project there ... navigate between the conflicting demands of time, cost and performance The project manager constantly has to weigh these demands against each other and trade off one against the other If there are time...
... only the use-value that they themselves attach to their products, but also the use-value that these possess in the estimation ofthe other members ofthe community The balancing of production and ... acquainted with at least the elements ofthetheoryof prices Others are able to content themselves with references to the "nominality" ofthe unit of value No wonder, then, that these theories should ... the legal definitions ofthe content of contracts of indebtedness andofthe system of public expenditure; it must be based on the executive authority ofthe state as controller ofthe mint and...
... or the other ofthe two former The hurried recitation ofthe chant, the rhythmical progression ofthe hymntune, andthe varied configurations ofthe anthem all indicate unmistakably that they ... change the effect THETHEORYOF MUSIC i8 andthe purpose ofthe two phrases The melodies of each these two phrases are appreciably distinct from andthe cadences form in the first phrase what other ... however great the line of demarcation be tween the two may have been in the past, there can be no question as to the mixing andthe overlapping ofthe sacred andthe secular at the present day...
... Behaviour of Measuring-Rods and Clocks in Motion Theorem ofthe Addition of Velocities The Experiment of Fizeau The Heuristic Value oftheTheoryof Relativity General Results oftheTheory Experience ... years later by theTheoryofthe Specific Heat of Solid Bodies, andthe fundamental idea ofthe General Theoryof Relativity During the interval 1909 to 1911 he occupied the post of Professor Extraordinarius ... these may be mentioned: The Special Theoryof Relativity, Inertia of Energy, Theoryofthe Brownian Movement, andthe Quantum-Law ofthe Emission and Absorption of Light (1905) These were followed...
... currently made ofthe concept of information in physics, following the rapid growth ofthe fields of quantum information theoryand quantum computation These are new and exciting fields of physics ... information theory is emphatically not information in the everyday sense ofthe word The following table provides a summary of some ofthe points that have been argued andof some ofthe positions ... information is that the greater the uncertainty of this distribution, the more we stand to gain from learning the outcome ofthe experiment In the case ofthe Shannon information, this notion of how much...
... Carroll’s theoryof historical narratives, one should take into account, for the reasons given above, Weitz’s sound intuition about the open character ofthe concept of art But on the other hand, the ... Jerrold (ed.), The Oxford Handbook of Aesthetics (Oxford University Press), 136-54 WEITZ, M (1956) The Role ofTheory in Aesthetics’, in Neill, Alex and Ridley, Aaron, The Philosophy of Art: Readings ... product of a decision on our part to extend the concept (Weitz, 1956, 188) According to Weitz, this “openness” ofthe concept of art is the condition ofthe possibility of further creativity and...
... terms of a co-recursion in which the similarity of properties is defined in terms ofthe similarity of arguments, andthe similarity of arguments is defined in terms ofthe similarity of properties ... x2) In the second clause we not know that the man is standing on the ladder he could be on the r o o f - and we not know what "the top" is the top of These facts fall out of recognizing the parallelism ... that the object the m a n ' s weight is acting on is the ladder, and hence that the man is on the ladder The third pair of arguments are both downward directions The final pair of arguments, x~ and...
... hand, which they reveal simultaneously If Bob selects the King then the highest card chosen wins the pot andthe game ends If Bob chooses the Joker and Alice the Queen they split the pot andthe ... Bob chooses the Joker and Alice the Ace then Alice may either resign (so that Bob gets the pot) or demand a replay If a replay occurs they each pay another pound into the pot and they play again, ... to read off the value ofthe game from Figures 16 and 17: It is given by the pay-off when playing according to the optimal strategies (the y-value ofthe intersection ofthe two lines) and is 3.4...
... consisting ofand a version of in which all its arcs are doubled The resulting network is Eulerian and has total length We shall show that under the hypothesis ofthe theorem, the removal from Q of (the ... denote the total length of Let denote the probability that the hider is in the subtree Assume that the searcher adopts the strategy of first using a random Chinese postman tour ofand then at ... in the network Q as follows For any node other than or the hiding probability is the same for h andThe probabilities andof choosing and when using h are given by the formulae and where is the...
... evaluation of them on their mathematical elegance, the complexity of their notation, the journals in which they appear, or simply the reputations of those who design them.”39 A more extreme example of ... understand them better Since the fall of Communism in Eastern Europe, the sources of security threats, the composition and cohesion of alliances, andthe shape of regional orders have been in flux The ... mistaken The first part ofthe chapter identifies two attributes of good theories—soundness and attention to meaningful questions The second part examines whether there is a tradeoff between good theory...
... coalition of mother and son within the family of father, mother, and son One would suppose, however, that the larger the group, the more likely its inclusion of smaller groups within it.35 Finally, and ... contract theory 11 The Plural Subject Theoryof Political Obligation 11.1 11.2 11.3 11.4 Thetheory assessed Comparison with three related theories Response to objections The practical import of political ... that they are tied in a special way to their government While they complain loudly and often, and not without justification, ofthe shortcomings of government, they feel that they are nonetheless...
... device with 151 sensors (coils) The color encodes the Gaussian weighting, that is, the influence ofthe synthetic background signal The center of appearance ofthe synthetic signal is marked by a ... for the affine group andthe WeylHeisenberg group, one obtains the Besov spaces andthe modulation spaces, respectively In the setting ofthe affine Weyl-Heisenberg group andthe specific case vs ... compare with (11), and with idi : Xi → Y the embedding operator, we may define the relationship between the data ofthe jth channel y j andthe frame coefficients f j = (f , , f m ) ofthe m associated...
... absolutely and triumphantly successful, and it stands with the work of Hadamard and de la Vall´e-Poussin, in thetheoryof primes, as one ofthe lande marks in the modern history ofthetheoryof numbers ... this theory sharply from the other great side ofthe analytic theoryof numbers, the ‘multiplicative’ theory, in which the fundamental idea is that ofthe resolution of a number into primes In the ... connexion THETHEORYOF NUMBERS with Oxford and with the Savilian chair The connexion of Oxford with thetheoryof numbers is in the main a nineteenth-century connexion, and centres naturally in the...