scholarly journals FINITE PROJECTIVE SPACES, GEOMETRIC SPREADS OF LINES AND MULTI-QUBITS

2012 ◽  
Vol 26 (27n28) ◽  
pp. 1243013
Author(s):  
METOD SANIGA
Keyword(s):  
Black Hole ◽  
Projective Space ◽  
Projective Spaces ◽  
Quadric Surface ◽  
Hermitian Variety ◽  
Finite Projective Spaces ◽  
New Perspective ◽  
Dimensional Projective Space ◽  
Nondegenerate Quadric

Given a (2N-1)-dimensional projective space over GF(2), PG (2N-1, 2), and its geometric spread of lines, there exists a remarkable mapping of this space onto PG (N-1, 4) where the lines of the spread correspond to the points and subspaces spanned by pairs of lines to the lines of PG (N-1, 4). Under such mapping, a nondegenerate quadric surface of the former space has for its image a nonsingular Hermitian variety in the latter space, this quadric being hyperbolic or elliptic in dependence on N being even or odd, respectively. We employ this property to show that generalized Pauli groups of N-qubits also form two distinct families according to the parity of N and to put the role of symmetric Pauli operators into a new perspective. The N = 4 case is taken to illustrate the issue, due to its link with the so-called black-hole/qubit correspondence.

scholarly journals A Characterization of the Hermitian Variety in Finite 3-Dimensional Projective Spaces

10.37236/3416 ◽  
2015 ◽  
Vol 22 (1) ◽  
Author(s):  
Vito Napolitano
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Intersection Numbers ◽  
Combinatorial Characterization ◽  
Hermitian Variety ◽  
3 Dimensional ◽  
Dimensional Projective Space

A combinatorial characterization of a non-singular Hermitian variety of the finite 3-dimensional projective space via its intersection numbers with respect to lines and planes is given.   A corrigendum was added on March 29, 2019.

scholarly journals Canonical and log canonical thresholds of multiple projective spaces

2019 ◽  
Author(s):  
Aleksandr V. Pukhlikov
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Regularity Conditions ◽  
Large Classes ◽  
Log Canonical Threshold ◽  
Birational Rigidity ◽  
Log Canonical ◽  
Finite Set ◽  
Dimensional Projective Space ◽  
Almost All

AbstractWe show that the global (log) canonical threshold of d-sheeted covers of the M-dimensional projective space of index 1, where $$d\geqslant 4$$d⩾4, is equal to 1 for almost all families (except for a finite set). The varieties are assumed to have at most quadratic singularities, the rank of which is bounded from below, and to satisfy the regularity conditions. This implies birational rigidity of new large classes of Fano–Mori fibre spaces over a base, the dimension of which is bounded from above by a constant that depends (quadratically) on the dimension of the fibre only.

Some Configurations in Finite Projective Spaces and Partially Balanced Incomplete Block Designs

1965 ◽  
Vol 17 ◽  
pp. 114-123 ◽  
Author(s):  
D. K. Ray-Chaudhuri
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Finite Projective Space ◽  
Block Designs ◽  
Incomplete Block ◽  
Finite Plane ◽  
Balanced Incomplete Block Designs ◽  
Pbib Design ◽  
Finite Projective Spaces ◽  
Balanced Incomplete Block

Using the methods developed in (2 and 3), in this paper we study some properties of the configuration of generators and points of a cone in an w-dimensional finite projective space. The configuration of secants and external points of a quadric in a finite plane of even characteristic is also studied. I t is shown that these configurations lead to several series of partially balanced incomplete block (PBIB) designs. PBIB designs are defined in Bose and Shimamoto (1). A PBIB design with m associate classes is an arrangement of v treatments in b blocks such that.

scholarly journals On a certain homology of finite projective spaces

1983 ◽  
Vol 90 ◽  
pp. 57-62 ◽  
Author(s):  
Hisasi Morikawa
Keyword(s):  
Finite Field ◽  
Projective Space ◽  
Linear Subspace ◽  
Projective Spaces ◽  
Finite Projective Spaces

We denote by Pn(q) the projective space of dimension n over a finite field GF(q) with q elements, and we mean by an i-flat a linear subspace of dimension i in Pn(q).

scholarly journals Hermitian Varieties in a Finite Projective Space PG(N, q2)

1966 ◽  
Vol 18 ◽  
pp. 1161-1182 ◽  
Author(s):  
R. C. Bose ◽  
I. M. Chakravarti
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Galois Field ◽  
Finite Projective Space ◽  
Finite Projective Spaces

The geometry of quadric varieties (hypersurfaces) in finite projective spaces of N dimensions has been studied by Primrose (12) and Ray-Chaudhuri (13). In this paper we study the geometry of another class of varieties, which we call Hermitian varieties and which have many properties analogous to quadrics. Hermitian varieties are defined only for finite projective spaces for which the ground (Galois field) GF(q2) has order q2, where q is the power of a prime. If h is any element of GF(q2), then = hq is defined to be conjugate to h.

scholarly journals On homologies in finite combinatorial geometries

1975 ◽  
Vol 13 (1) ◽  
pp. 85-99 ◽  
Author(s):  
P.B. Kirkpatrick
Keyword(s):  
Projective Space ◽  
Automorphism Groups ◽  
Combinatorial Geometry ◽  
Projective Spaces ◽  
Finite Projective Space ◽  
Finite Projective Spaces ◽  
Trivial Element ◽  
Combinatorial Geometries

Any subset π* of the set of all planes through a line in a finite projective space PG(m, q) determines a subgeometry G(π*) of the combinatorial geometry associated with PG(m, q). In this paper the geometries G(π*) of rank greater than three in which every line contains at least four points, are characterized in terms of the existence of a certain set of automorphism groups Γ(C, X); where X is a copoint and C a point not in X, and each non-trivial element of Γ(C, X) fixes X and every copoint through C and fixes C and every point in X, but no other point; and where Γ(C, X) acts transitively on the points distinct from C and not in X of some line through C. As a corollary of the main theorem we obtain a characterization of the finite projective spaces PG(m, q) with m ≥ 3 and q ≥ 3.

Is a snake scarier than a gun? The ontogenetic–phylogenetic dispute from a new perspective: The role of arousal.

Emotion ◽  
2019 ◽  
Vol 19 (4) ◽  
pp. 726-732 ◽  
Author(s):  
Andras Norbert Zsido ◽  
Anita Deak ◽  
Laszlo Bernath
Keyword(s):  
New Perspective

Epilogue

2018 ◽  
Author(s):  
Bruno and
Keyword(s):  
Sensory Processing ◽  
Multisensory Processing ◽  
Multisensory Perception ◽  
Future Directions ◽  
Life Problems ◽  
Multisensory Interactions ◽  
Contemporary Work ◽  
New Perspective

Multisensory interactions in perception are pervasive and fundamental, as we have documented throughout this book. In this final chapter, we propose that contemporary work on multisensory processing is a paradigm shift in perception science, calling for a radical reconsideration of empirical and theoretical questions within an entirely new perspective. In making our case, we emphasize that multisensory perception is the norm, not the exception, and we remark that multisensory interactions can occur early in sensory processing. We reiterate the key notions that multisensory interactions come in different kinds and that principles of multisensory processing must be considered when tackling multisensory daily-life problems. We discuss the role of unisensory processing in a multisensory world, and we conclude by suggesting future directions for the multisensory field.

Shifting Concepts

2020 ◽  
Keyword(s):  
Experimental Philosophy ◽  
Central Area ◽  
Linguistic Meaning ◽  
Human Cognition ◽  
Important Work ◽  
Linguistic Communication ◽  
New Perspective ◽  
Semantic Properties ◽  
Conceptual Variation

Concepts stand at the centre of human cognition. We use concepts in categorizing objects and events in the world, in reasoning and action, and in social interaction. It is therefore not surprising that the study of concepts constitutes a central area of research in philosophy and psychology. Since the 1970s, psychologists have carried out intriguing experiments testing the role of concepts in categorizing and reasoning, and have found a great deal of variation in categorization behaviour across individuals and cultures. During the same period, philosophers of language and mind did important work on the semantic properties of concepts, and on how concepts are related to linguistic meaning and linguistic communication. An important motivation behind this was the idea that concepts must be shared, across individuals and cultures. However, there was little interaction between these two research programs until recently. With the dawn of experimental philosophy, the proposal that the experimental data from psychology lacks relevance to semantics is increasingly difficult to defend. Moreover, in the last decade, philosophers have approached questions about the tension between conceptual variation and shared concepts in communication from a new perspective: that of ameliorating concepts for theoretical or for social and political purposes. The volume brings together leading psychologists and philosophers working on concepts who come from these different research traditions.

scholarly journals Exosomes: a new perspective in EGFR-mutated lung cancer

2021 ◽  
Author(s):  
Amina Jouida ◽  
Cormac McCarthy ◽  
Aurelie Fabre ◽  
Michael P. Keane
Keyword(s):  
Lung Cancer ◽  
Cell Communication ◽  
Egfr Mutations ◽  
Functional Effect ◽  
Prognosis And Prediction ◽  
Novel Biomarkers ◽  
New Perspective ◽  
Source Of Information ◽  
Egfr Mutated

AbstractExosomes are major contributors in cell to cell communication due to their ability to transfer biological material such as protein, RNA, DNA, and miRNA. Additionally, they play a role in tumor initiation, promotion, and progression, and recently, they have emerged as a potential source of information on tumor detection and may be useful as diagnostic, prognostic, and predictive tools. This review focuses on exosomes from lung cancer with a focus on EGFR mutations. Here, we outline the role of exosomes and their functional effect in carcinogenesis, tumor progression, and metastasis. Finally, we discuss the possibility of exosomes as novel biomarkers in early detection, diagnosis, assessment of prognosis, and prediction of therapeutic response in EGFR-mutated lung cancer.

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