scholarly journals On Sign Pattern Matrices that Allow or Require Algebraic Positivity

2019 ◽  
Vol 35 ◽  
pp. 331-356
Author(s):  
Diane Christine Pelejo ◽  
Jean Leonardo Abagat
Keyword(s):  
The Other ◽  
Necessary Condition ◽  
Sign Pattern ◽  
Real Polynomial ◽  
Positive Matrix ◽  
Open Problems ◽  
Other Hand ◽  
The Matrix ◽  
Pattern Matrix ◽  
Square Matrix

A square matrix M with real entries is algebraically positive (AP) if there exists a real polynomial p such that all entries of the matrix p(M) are positive. A square sign pattern matrix S allows algebraic positivity if there is an algebraically positive matrix M whose sign pattern is S. On the other hand, S requires algebraic positivity if matrix M, having sign pattern S, is algebraically positive. Motivated by open problems raised in a work of Kirkland, Qiao, and Zhan (2016) on AP matrices, all nonequivalent irreducible 3 by 3 sign pattern matrices are listed and classify into three groups (i) those that require AP, (ii) those that allow but not require AP, or (iii) those that do not allow AP. A necessary condition for an irreducible n by n sign pattern to allow algebraic positivity is also provided.

scholarly journals On circulant codes with prescribed distances

1977 ◽  
Vol 16 (3) ◽  
pp. 361-369
Author(s):  
M. Deza ◽  
Peter Eades
Keyword(s):  
Sufficient Conditions ◽  
Difference Sets ◽  
Necessary And Sufficient Conditions ◽  
Necessary Condition ◽  
Weighing Matrices ◽  
Cyclic Difference Sets ◽  
The Matrix ◽  
Circulant Codes ◽  
Necessary And Sufficient ◽  
Square Matrix

Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

scholarly journals Approximation byq-Bernstein Polynomials in the Caseq→1+

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Xuezhi Wu
Keyword(s):  
Bernstein Polynomials ◽  
The Other ◽  
Necessary Condition ◽  
Standard Case ◽  
Other Hand ◽  
Approximating Sequence ◽  
Sufficient And Necessary Condition

LetBn,q(f;x),q∈(0,∞)be theq-Bernstein polynomials of a functionf∈C[0,1]. It has been known that, in general, the sequenceBn,qn(f)withqn→1+is not an approximating sequence forf∈C[0,1], in contrast to the standard caseqn→1-. In this paper, we give the sufficient and necessary condition under which the sequenceBn,qn(f)approximatesffor anyf∈C[0,1]in the caseqn>1. Based on this condition, we get that if1<qn<1+ln⁡2/nfor sufficiently largen, thenBn,qn(f)approximatesffor anyf∈C[0,1]. On the other hand, ifBn,qn(f)can approximateffor anyf∈C[0,1]in the caseqn>1, then the sequence(qn)satisfieslim¯n→∞n(qn-1)≤ln2.

Adverbial clauses and V3

2019 ◽  
Vol 5 (s3) ◽  
Author(s):  
Eva Csipak
Keyword(s):  
Word Order ◽  
Speech Act ◽  
The Other ◽  
Order Effects ◽  
Matrix Clause ◽  
Other Hand ◽  
Pragmatic Analysis ◽  
The Matrix ◽  
Adverbial Clauses ◽  
Biscuit Conditionals

AbstractThis paper discusses word order effects in German adverbial clauses: often, the matrix clause can exhibit either V2 or V3 word order. I argue that adverbial clauses with V3 word order have an obligatory ‘biscuit’ interpretation and receive a speech act modifying interpretation, as has previously only been argued for ‘biscuit conditionals’. I show that this phenomenon holds more generally. On the other hand, a pragmatic analysis for V2 biscuit conditionals remains necessary.

Leibniz on Apperception and Animal Souls

Dialogue ◽  
1994 ◽  
Vol 33 (4) ◽  
pp. 701-724 ◽  
Author(s):  
Murray Miles
Keyword(s):  
The Other ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Human Beings ◽  
Mental Processes ◽  
Other Hand ◽  
Forms Of Life ◽  
The One

InLeibniz: Perception, Apperception, and Thought, Robert McRae alleges a flat “contradiction” (McRae 1976, p. 30) at the heart of Leibniz's doctrine of three grades of monads: bare entelechies characterized by perception; animal souls capable both of perception and of sensation; and rational souls, minds or spirits endowed not only with capacities for perception and sensation but also with consciousness of self or what Leibniz calls (introducing a new term of art into the vocabulary of philosophy) “apperception.” Apperception is a necessary condition of those distinctively human mental processes associated with understanding and with reason. Insofar as it is also a sufficient condition of rationality, it is not ascribable to animals. But apperception is a necessary condition of sensation or feeling as well; and animals are capable of sensation, according to Leibniz, who decisively rejected the Cartesian doctrine that beasts are nothing but material automata. “On the one hand,” writes McRae, “what distinguishes animals from lower forms of life is sensation or feeling, but on the other hand apperception is a necessary condition of sensation, and apperception distinguishes human beings from animals” (McRae 1976, p. 30). “We are thus left with an unresolved inconsistency in Leibniz's account of sensation, so far as sensation is attributable both to men and animals” (ibid., p. 34).

scholarly journals Thermo-Mechanical Fatigue of Grey Cast Iron for Cylinder Heads - Effect of Niobium, Molybdenum and Solidification Time

2018 ◽  
Vol 925 ◽  
pp. 377-384 ◽  
Author(s):  
Peter Skoglund ◽  
Jessica Elfsberg ◽  
Nulifer Ipek ◽  
Lucian Vasile Diaconu ◽  
Mari Larsson ◽  
...  
Keyword(s):  
Mechanical Performance ◽  
Cyclic Stress ◽  
The Other ◽  
Solidification Time ◽  
Alloying Elements ◽  
Static Properties ◽  
Mechanical Fatigue ◽  
Other Hand ◽  
The Matrix ◽  
Grey Cast

Grey iron alloyed with molybdenum and niobium in seven different compositions has been casted using three, in industrial components viable, solidification times which resulted in 21 different samples. The samples have been investigated with respect to microstructure, static properties and thermo-mechanical fatigue performance. It was found that the solidification time is very important for both the static and thermo-mechanical performance. If the solidification time is long the properties are controlled entirely by the large graphite flakes and there is no influence of the alloying elements. On the other hand if the solidification time can be kept short the need for alloying elements may be removed. For the shorter solidification times an influence from the matrix and thus the alloying elements can be seen. It was found that molybdenum enhances TMF-life while no such effect was found for niobium. Niobium, on the other hand, has a larger effect on static strength than molybdenum and also on the cyclic stress in the thermo-mechanical fatigue experiments.

scholarly journals Approximating Ideal Filters by Systems of Fractional Order

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Ming Li
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Point Of View ◽  
Present Approach ◽  
The Other ◽  
Necessary Condition ◽  
Ecg Signals ◽  
Other Hand ◽  
The One ◽  
Electrocardiogram Ecg

The contributions in this paper are in two folds. On the one hand, we propose a general approach for approximating ideal filters based on fractional calculus from the point of view of systems of fractional order. On the other hand, we suggest that the Paley and Wiener criterion might not be a necessary condition for designing physically realizable ideal filters. As an application of the present approach, we show a case in designing ideal filters for suppressing 50-Hz interference in electrocardiogram (ECG) signals.

scholarly journals A supramolecular proposal of lignin structure and its relation with the wood properties

2009 ◽  
Vol 81 (1) ◽  
pp. 137-142 ◽  
Author(s):  
Heber S. Abreu ◽  
João V.F. Latorraca ◽  
Regina P.W. Pereira ◽  
Maria Beatriz O. Monteiro ◽  
Fábio A. Abreu ◽  
...  
Keyword(s):  
Wood Properties ◽  
The Other ◽  
Virtual Model ◽  
Structure Form ◽  
Wood Technology ◽  
Model Based ◽  
Other Hand ◽  
Science Discussion ◽  
The Matrix ◽  
Matrix Compound

In spite of the great importance of cellulose the lignin is considered the second most abundant substance of the wood. However, little attention has been given it, mainly to wood properties. The lignin as well as other structural compounds (cellulose and hemicelluloses), has obviously an important role on the wood properties, probably due its composition and existent bonds. In general lignins have β-O-4 (Alkyl Aril Ether) as majoritary bond. This bond in a continued structure form big molecules with spiral conformation as virtual model. Based on this idea, lignins that have high/low β-O-4 content may have differentiated spiraled structures,suggesting different behaviors on the wood properties,which shows that the lignins (Guaicyl:Syringyl (GS)) of angiosperms, for example, which have higher β-O-4 content would present higher spiral conformation than gymnosperms lignins(HG). On the other hand HG lignins have chance of being more anchored on the matrix compound than GS lignins. In this context, the β-O-4 bonds of lignins possibly affect the wood properties, therefore, it is considered relevant for wood technology science discussion.

scholarly journals On subsystem codes beating the quantum Hamming or Singleton bound

2007 ◽  
Vol 463 (2087) ◽  
pp. 2887-2905 ◽  
Author(s):  
Andreas Klappenecker ◽  
Pradeep Kiran Sarvepalli
Keyword(s):  
The Other ◽  
Maximum Distance ◽  
Open Problems ◽  
Prime Field ◽  
Stabilizer Codes ◽  
Singleton Bound ◽  
Other Hand ◽  
Maximum Distance Separable ◽  
Linear Subsystem ◽  
Stabilizer Code

Subsystem codes are a generalization of noiseless subsystems, decoherence-free subspaces and stabilizer codes. We generalize the quantum Singleton bound to q -linear subsystem codes. It follows that no subsystem code over a prime field can beat the quantum Singleton bound. On the other hand, we show the remarkable fact that there exist impure subsystem codes beating the quantum Hamming bound. A number of open problems concern the comparison in the performance of stabilizer and subsystem codes. One of the open problems suggested by Poulin's work asks whether a subsystem code can use fewer syndrome measurements than an optimal q -linear maximum distance separable stabilizer code while encoding the same number of qudits and having the same distance. We prove that linear subsystem codes cannot offer such an improvement under complete decoding.

scholarly journals Hidden Ekphrasis in the Works of Miroslav Krleža

2017 ◽  
Vol 11 (1) ◽  
pp. 118-133
Author(s):  
Nataša Lah
Keyword(s):  
Social Context ◽  
Art History ◽  
The Other ◽  
Literary Texts ◽  
Other Hand ◽  
Mise En Scene ◽  
The Matrix ◽  
Miroslav Krleza ◽  
The Rich ◽  
The One

Throughout the entire literary oeuvre of Miroslav Krleža we are faced with a great number of credible descriptions, describing real historic events, or real artists and artworks belonging to the rich resources of European art history. By applying a cryptographic method of incorporating descriptions into his texts, Krleža on the one hand hid his sources, while on the other also revealed them. He hid them in the tissue of fictional texts, and unmasked them using a key work only those familiar with the source could identify. We term this method the use of “belletristic cryptograms”, and can further categorise it into thematic subgroups of concealed artwork descriptions, naming this whole method the use of hidden ekphrasis. The choice of artworks Krleža describes in his work is comprehensive, diverse and each described differently. Since we are dealing with literary texts, descriptions are often used in the function of a wide array of interpretative strategies of depiction; in some aspects, they are used as a mere glimpse into a piece of art with the goal of visually associating, evoking or minutely symbolizing the incorporeal frame of an artist’s mind or of the wider social context. In other aspects, the artworks are richly and meticulously presented with regard to their importance and credibility as they, according to Krleža, possess an “ethical intelligence” and “ethical conscience”. Only Krleža’s prose is researched here, and this is done on two levels. We take a look at examples where real art is incorporated into fictional texts in order to determine the significance and meaning of a certain dialogue, mise-en-scène or situation. This is most commonly found in the author’s plays, novels and novellas. On the other hand, we can trace a completely opposite method by which artworks enter these texts, where, due to their historic determination and already established worth/status, they thus re-enter reality, as seen from the perspective of Krleža’s life and work, so as to yet again test art history’s credibility through the matrix of contemporaneity. This approach is most often found in Krleža’s essays, critiques and diary entries.

scholarly journals Organology of Dreams and Archi-Cinema (

2016 ◽  
Vol 24 (47) ◽  
Author(s):  
Stiegler Bernard
Keyword(s):  
The Other ◽  
The Unconscious ◽  
The Third ◽  
Other Hand ◽  
The Matrix ◽  
History Of ◽  
Cinematic Time ◽  
The One

Stiegler argued in Cinematic Time and the Question of Malaise (the third volume of Technics and Time) that we must refer to archi-cinema just as Derrida spoke of archi-writing. In this article he proposes that in principle the dream is the primordial form of this archi-cinema. The archi-cinema of consciousness, of which dreams would be the matrix as archi-cinema of the unconscious, is the projection resulting from the play between what Husserl called, on the one hand, primary and secondary retentions, and what Stiegler, on the other hand, calls tertiary retentions, which are the hypomnesic traces (that is, the mnemo-technical traces) of conscious and unconscious life. There is archi-cinema to the extent that for any noetic act – for example, in an act of perception – consciousness projects its object. This projection is a montage, of which tertiary (hypomnesic) retentions form the fabric, as well as constituting both the supports and the cutting room. This indicates that archi-cinema has a history, a history conditioned by the history of tertiary retentions. It also means that there is an organology of dreams.

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