Hilbert Space of a Single Fermionic Mode A single bosonic mode is equivalent to a harmonic oscillator; the relation [â, â†] = 1 gives rise to an infinite-dimensional Hilbert space spanning states |n〉 for n = 0, 1, 2, 3, . . . ,∞. A single fermionic mode is different — its Hilbert space spans just two states, |0〉 and |1〉. In accordance with the Fermi statistics, multiple quanta in the same mode ...

A new notion of probability logical consequence is introduced. Given a probability algebra of propositions hL, P i, proposition ψ of L is called probability logical consequence of φ1 ∈ L and φ2 ∈ L (written φ1,φ2 ° ψ) iff P (ψ |φ1∧φ2 ) > max {P (ψ |φ1 ) , P (ψ |φ2 )}. A new definition of stochastic transitivity is put forward in terms of probability logical consequence. An empirical binary rela...

We show using duality and category theory that the profinite completion  of a bounded distributive lattice expansion A is a homomorphic image of the canonical extension Aσ . Moreover the natural mapping μ : A →  can be extended to a surjection ν : Aσ ! Â.

Every mode of a quantized boson (photon) field is described as a quantum harmonic oscillator. In this description one meets the quantum phase problem, which has been reviewed in the paper [1]. Using the photon annihilation and creation operators â and â†, respectively, which obey the boson commutation relation [â, â†] = 1̂, with 1̂ an identity operator, the number operator is expressed as n̂ = â†â...

The discovery of a novel cytosine nucleoside, â-D-2′,3′-didehydro-2′,3′-dideoxy-5-fluorocytidine (D-D4FC), as a potent antihuman immunodeficiency virus (HIV) agent led us to synthesize a series of analogues and derivatives of â-D-D4FC that could be more selective and also possess increased glycosidic bond stability. The synthesized D-D4FC analogues were evaluated for antiHIV-1 activity, antican...

Low-grade proteinuria occurs in most patients with dis seminated cancer. Twenty-four-hr urine protein (average ± S.D.; N = 9 to 17) was <80 mg in normals; 223 ±154 mg in patients with acute myelocytic leukemia; 177 ±98 mg in subjects with Stage IV Hodgkin's; and 215 ±147, 229 ± 186, 233 ±163, and 280 ±240 mg in patients with meta static cancer of colon, breast, ovary, and pancreas, respe...

Objective—To examine the eVect of concomitant intake of â blockers with angiotensin converting enzyme (ACE) inhibitors, diuretics, or both on plasma renin concentrations in a population based sample (MONICA survey, Augsburg, Germany). Subject and methods—728 individuals were studied, of whom 171 were treated using monotherapy (ACE inhibitor (n = 21), diuretic (n = 10), or â blocker (n = 72)), o...

Libraries, Eric Elliott, Eric Hamilton, O'Reilly Media, Incorporated, 2013, 1449320945, 9781449320942, 300 pages. Take your existing JavaScript skills to the next level and learn how to build complete web scale or enterprise applications that are easy to extend and maintain. By applying the design patterns outlined in this book, youÐ2Ђ™ll learn how to write flexible and resilient code thatÐ2...

â â â  â â  abstract â  the importance of community&apos;s health followed by the consideration of endogenous growth models has led to an increase in health expenditure of countries to speed up economic growth and development. this has made the efficiency of health production function to an essential issue especially in developing countries. based upon this, the present study with employing the...