Electro-optic detection of the Coulomb field of a relativistic electron bunch combined with single-shot cross correlation of optical pulses is used to enable single-shot measurements of the shape and length of femtosecond electron bunches. This method overcomes a fundamental time-resolution limit of previous single-shot electro-optic measurements, which arises from the inseparability of time an...

Inaugurated in February 1919 to provide assistance to mothers and children from underprivileged social groups, the nearly century-old Maternidade Pro Matre maternity hospital was an initiative of physician and philanthropist Fernando Magalhães and of feminist Stella de Carvalho Guerra Duval, with the support of society women from Rio de Janeiro. Its creation was part of a mother-child assistanc...

Concurring with Uri Leron’s (2010) cross-disciplinary approach to two distinct modes of mathematical thinking, intuitive and analytic, I discuss his elaboration and adaptation to mathematics education of the cognitive psychology dual-processing theory (DPT) in terms of (a) the problem significance and (b) features of the theory he adapts. Then, I discuss DPT in light of a constructivist stance ...

The pair coherent states for a two-mode radiation field are known to belong to a family of states with non-Gaussian wave function. The nature of quantum entanglement between the two modes and some features of non-classicality are studied for such states. The existing criteria for inseparability are examined in the context of pair coherent states. PACS numbers: 03.67.Mn, 42.50.Dv ‡ On leave of a...

Spatially separated entanglement is demonstrated by interfering two high-repetition squeezed pulse trains. The entanglement correlation of the quadrature amplitudes between individual pulses is interrogated. It is characterized in terms of the sufficient inseparability criterion with an optimum result of in the frequency domain and in the time domain. The quantum correlation is also observed wh...

The cluster states and Greenberger-Horne-Zeilinger (GHZ) states are two different types of multipartite quantum entangled states. We present the first experimental results generating continuous variable quadripartite cluster and GHZ entangled states of electromagnetic fields. Utilizing two amplitude-quadrature and two phase-quadrature squeezed states of light and linearly optical transformation...

The rst-order theories of nite and rational, constructor and feature trees possess complete axiomatizations and are decidable By using the uniform inseparability lower bounds techniques due to Compton and Henson 6], based on representing large binary relations by means of short formulas manipulating with high trees, we prove that all the above theories, as well as all their subtheories, are non...

We show, in this first part, that the maximal number of singular points a normal quartic surface $X \subset \mathbb {P}^{3}_{K}$ defined over an algebraically closed field K characteristic 2 is at most 16. produce examples with 14, respectively 12, and show that, under several geometric assumptions ( $\mathfrak S_{4}$ -symmetry, or behaviour Gauss map, structure tangent cone one P, separability...

We have experimentally demonstrated how two beams of light separated by an octave in frequency can become entangled after their interaction in a chi;{(2)} nonlinear medium. The entangler was a nonlinear optical resonator that was strongly driven by coherent light at the fundamental and second-harmonic wavelengths. An interconversion between the fields created quantum correlations in the amplitu...

We investigate the efficiency of inseparability criteria in detecting the entanglement properties of two-mode non-Gaussian states of the electromagnetic field. We focus our study on the relevant class of two-mode squeezed number states. These states combine the entangling capability of two-mode squeezers with the non-Gaussian character (nonclassicality) of number states. They allow for some exa...