scholarly journals Golden-Mean and Secret Sharing Matroids

2021 ◽  
Author(s):  
◽  
Michael Welsh
Keyword(s):  
Secret Sharing ◽  
Partial Result ◽  
Matroid Theory ◽  
Golden Mean ◽  
The One ◽  
Full Proof

<p>Maximum-sized results are an important part of matroid theory, and results currently exist for various classes of matroids. Archer conjectured that the maximum-sized golden-mean matroids fall into three distinct classes, as op- posed to the one class of all current results. We will prove a partial result that we hope will lead to a full proof. In the second part of this thesis, we look at secret sharing matroids, with a particular emphasis on the class of group-induced p-representable matroids, as introduced by Matúš. We give new proofs for results of Matúš', relating to M(K₄), F₇ and F⁻₇. We show that the techniques used do not extend in some natural ways, and pose some unanswered questions relating to the structure of secret sharing matroids.</p>

scholarly journals Golden-Mean and Secret Sharing Matroids

2021 ◽  
Author(s):  
◽  
Michael Welsh
Keyword(s):  
Secret Sharing ◽  
Partial Result ◽  
Matroid Theory ◽  
Golden Mean ◽  
The One ◽  
Full Proof

<p>Maximum-sized results are an important part of matroid theory, and results currently exist for various classes of matroids. Archer conjectured that the maximum-sized golden-mean matroids fall into three distinct classes, as op- posed to the one class of all current results. We will prove a partial result that we hope will lead to a full proof. In the second part of this thesis, we look at secret sharing matroids, with a particular emphasis on the class of group-induced p-representable matroids, as introduced by Matúš. We give new proofs for results of Matúš', relating to M(K₄), F₇ and F⁻₇. We show that the techniques used do not extend in some natural ways, and pose some unanswered questions relating to the structure of secret sharing matroids.</p>

scholarly journals On the fields of rationality for curves and for their jacobian varieties

1982 ◽  
Vol 88 ◽  
pp. 197-212 ◽  
Author(s):  
Tsutomu Sekiguchi
Keyword(s):  
Hyperelliptic Curve ◽  
Partial Result ◽  
Jacobian Variety ◽  
Noetherian Scheme ◽  
Jacobian Varieties ◽  
Field Of Moduli ◽  
The One

Throughout the paper, a scheme means a noetherian scheme. By a curve C over a scheme S of genus g, we mean a proper and smooth S-scheme with irreducible curves of genus g as geometric fibres. In the previous paper [15], the author showed that the field of moduli for a non-hyperelliptic curve over a field coincides with the one for its canonically polarized jacobian variety, and in [16], he gave a partial result on the coincidence of the fields of rationality for a hyperelliptic curve and for its canonically polarized jacobian variety. In the present paper, we will discuss the isomorphy of the isomorphism schemes of two curves over a scheme and of their canonically polarized jacobian schemes, by using Oort-Steenbrink’s result [12].

scholarly journals (3, 3) Visual Cryptography for Online Certificate Authentication

2020 ◽  
Vol 9 (6) ◽  
pp. 152-156
Keyword(s):  
Academic Achievement ◽  
Secret Sharing ◽  
Visual Cryptography ◽  
Secret Message ◽  
Secret Sharing Scheme ◽  
Visual Secret Sharing ◽  
Job Interview ◽  
Sharing Scheme ◽  
Visual Cryptography Scheme ◽  
Full Proof

Today organizations face a challenge while recruiting candidates, who provide forged mark sheets in order to get a job. To prevent wrong hiring a detailed and thorough approach is needed to verify the authentication of both the candidate and the marks obtained by him/her. There are so many modern cryptographic protocols available which can be used for authenticating individual’s academic achievement certificates. Visual Cryptography is a simple and secure way to allow the secret sharing of images without any cryptographic computations or the use of encryption or decryption keys. The novelty of the visual secret sharing scheme is in its decryption process where human visual system (HVS) is employed for decryption of secret shares. In this paper we have discussed (3, 3) visual cryptography scheme which can be used to generate shares and distributes them among three parties, i.e. the Job Seeker, Certificate Issuance Authority and the Organization conducting Job interview. Secret message can be decrypted only if all the three shares are available. Every certificate carries a unique number which is encrypted using visual cryptography and without handshaking of all the parties it is impossible to decrypt, thus ensuring full proof authentication.

scholarly journals INVARIANT HYPERSURFACES

2020 ◽  
pp. 1-27
Author(s):  
Jason Bell ◽  
Rahim Moosa ◽  
Adam Topaz
Keyword(s):  
Rational Function ◽  
Finite Type ◽  
Characteristic Zero ◽  
Positive Characteristic ◽  
Inverse Image ◽  
The Other ◽  
Partial Result ◽  
Rational Maps ◽  
Special Cases ◽  
The One

The following theorem, which includes as very special cases results of Jouanolou and Hrushovski on algebraic $D$ -varieties on the one hand, and of Cantat on rational dynamics on the other, is established: Working over a field of characteristic zero, suppose $\unicode[STIX]{x1D719}_{1},\unicode[STIX]{x1D719}_{2}:Z\rightarrow X$ are dominant rational maps from an (possibly nonreduced) irreducible scheme $Z$ of finite type to an algebraic variety $X$ , with the property that there are infinitely many hypersurfaces on  $X$ whose scheme-theoretic inverse images under $\unicode[STIX]{x1D719}_{1}$ and $\unicode[STIX]{x1D719}_{2}$ agree. Then there is a nonconstant rational function $g$ on $X$ such that $g\unicode[STIX]{x1D719}_{1}=g\unicode[STIX]{x1D719}_{2}$ . In the case where $Z$ is also reduced, the scheme-theoretic inverse image can be replaced by the proper transform. A partial result is obtained in positive characteristic. Applications include an extension of the Jouanolou–Hrushovski theorem to generalised algebraic ${\mathcal{D}}$ -varieties and of Cantat’s theorem to self-correspondences.

scholarly journals VII. Note on the Middle Country of Ancient India

1904 ◽  
Vol 36 (1) ◽  
pp. 83-93
Author(s):  
T. W. Rhys Davids
Keyword(s):  
The Other ◽  
Golden Mean ◽  
Ancient India ◽  
Middle Way ◽  
Religious Parties ◽  
The One ◽  
The Buddha ◽  
Moderate Position ◽  
The Ideal

Numerous examples might be quoted of philosophical, or political, or religious parties who have claimed for themselves a central, or a moderate, position, far removed from the ignorances and foolishnesses of the extremists on either side. There are even cases in which the critical historian may observe that, on a fair survey of the points in dispute at the time and place in question, the claim is fairly justified. So the Buddha claimed for his view of life that it was the Middle Way between worldliness, or indifference, on the one side, and asceticism on the other. So Aristotle described the ideal virtue as the Golden Mean.

scholarly journals Improved Bounds for Restricted Families of Projections to Planes in ℝ3

2018 ◽  
Vol 2020 (19) ◽  
pp. 5797-5813 ◽  
Author(s):  
Tuomas Orponen ◽  
Laura Venieri
Keyword(s):  
Hausdorff Dimension ◽  
Hausdorff Measure ◽  
Unit Sphere ◽  
Orthogonal Projection ◽  
Partial Result ◽  
Borel Set ◽  
Borel Sets ◽  
Dimensional Hausdorff Measure ◽  
One Dimensional ◽  
The One

Abstract For $e \in S^{2}$, the unit sphere in $\mathbb{R}^3$, let $\pi _{e}$ be the orthogonal projection to $e^{\perp } \subset \mathbb{R}^{3}$, and let $W \subset \mathbb{R}^{3}$ be any $2$-plane, which is not a subspace. We prove that if $K \subset \mathbb{R}^{3}$ is a Borel set with $\dim _{\textrm{H}} K \leq \tfrac{3}{2}$, then $\dim _{\textrm{H}} \pi _{e}(K) = \dim _{\textrm{H}} K$ for $\mathcal{H}^{1}$ almost every $e \in S^{2} \cap W$, where $\mathcal{H}^{1}$ denotes the one-dimensional Hausdorff measure and $\dim _{\textrm{H}}$ the Hausdorff dimension. This was known earlier, due to Järvenpää, Järvenpää, Ledrappier, and Leikas, for Borel sets $K$ with $\dim _{\textrm{H}} K \leq 1$. We also prove a partial result for sets with dimension exceeding $3/2$, improving earlier bounds by D. Oberlin and R. Oberlin.

Between Two Poles: Barukh Mitrani between Moderate Haskalah and Jewish Nationalism

Zutot ◽  
2021 ◽  
pp. 1-11
Author(s):  
Tamir Karkason
Keyword(s):  
Orthodox Jews ◽  
The Other ◽  
Golden Mean ◽  
Republic Of Letters ◽  
The Balkans ◽  
The Family ◽  
The One ◽  
The Individual

Abstract Barukh Mitrani was an Ottoman maskil who wandered between the Balkans, Istanbul and Palestine. While living in Edirne, Mitrani established his first periodical, Carmi (Pressburg 1881). Carmi’s issues were an ongoing maskilic sermon, drawing on a deep acquaintance with the Jewish bookshelf. This paper examines selections from the fifth article in Carmi, ‘Our Nationhood.’ Influenced by the moderate Haskalah, Mitrani idealized a ‘Golden Mean,’ which sought to balance the agendas of ‘the two poles’: insular Ultra-Orthodox Jews on the one hand, and secularized ‘Westernizers’ on the other. Mitrani also espoused a Jewish nationalism which had affinities with the Hebrew ‘republic of letters’ and the national resurgence in the Balkans. He perceived every Jew as part of three circles: the individual, the family, and the nation. Yet his nationalism was not separatist; he obliged Jews to remain loyal Ottoman citizens and promote the Sultanate while also settling in Palestine.

scholarly journals Linguistic ideologies of students entering an Argentine university

2019 ◽  
Vol 5 (1) ◽  
pp. 1-15
Author(s):  
Ivana Casas ◽  
Julieta Gurvit ◽  
Paola Viviana Pereira
Keyword(s):  
Academic Writing ◽  
Linguistic Diversity ◽  
Partial Result ◽  
Linguistic Ideologies ◽  
Academic Field ◽  
Linguistic Differences ◽  
Languages In Contact ◽  
The One ◽  
Incoming Students ◽  
Initial Cycle

This work is part of the PROAPI Research Project “Reading and writing in the initial cycle of the Universidad Nacional de Avellaneda”. One of the axes developed in it is linguistic diversity in relation to academic writing processes. A significant percentage of our students are in a situation of languages ​​in contact, they can even be considered bilingual in a broad sense (Speranza, 2012). Considering these specificities in the academic field helps prevent linguistic differences from becoming linguistic inequality with the consequence of abandonment of university studies. Therefore, in the first stage of the investigation, we conducted a survey of incoming students, whose partial result we are interested in exhibiting in this work. One of the questions was to describe with a word or phrase a list of languages ​​that were offered in order to identify linguistic ideologies (del Valle, 2007). From the analysis carried out, it is observed that the predominant linguistic ideologies on the Quechua and Guaraní languages are built, on the one hand, in negative terms of emptiness and enigma, as an unknown terrain of which little and nothing can be said, and on the other, in terms affirmative based on the ideas of ethnicity and foreigners.

scholarly journals Taqlid and the Stagnation of the Muslim Mind

1991 ◽  
Vol 8 (3) ◽  
pp. 513-524
Author(s):  
Taha J. Al 'Alwani
Keyword(s):  
Belief System ◽  
Human Mind ◽  
Community Level ◽  
Golden Mean ◽  
The One

The Origins and Beginnings of TaqlidAllah Most High chose the Muslims to be the ummah of mission (risalah),of exemplary good (khayriyah), of the golden mean (wasatiyah), and ofwitnessing to humanity (shahadah). Along with these responsibilities camethe capacity for renewal, for ijtihad, and for correctly interpreting the Shari'ah.As a result, there is a certain inseparable mutuality between the ummah'sroles as a median community czun civilizational witness for humanity andits other role as a moral and ethical exemplar, and between its capabilityfor ijtihad and effecting reform. In order to hcilitate these roles, Allah endowedthe Qur'an and the Sunnah with the necessary flexibility in every aspect ofIslam: its belief system, its methodology, its Shari'ah, and its organization.Thus it was only natural for the early generations of Muslims, both onan individual and a community level, to offer a unique picture to theworld: the complete liberation of the human mind from all forms of mentalslavery and idolatry. Further protection against Wing from this exalted positionwas the provision made for avoiding mistakes, deviations, andmisinterpretations: only those statements which could be proven by acceptableevidence or supported by valid testimony were to be believed. A look at theijtihad exercised by the sahabah, whether they were learned qurra' or commonpeople, will suffice to illustrate the amazing transformation which Islam wasable to achieve.Why do we not see this situation today? What has happened to thepenetrating and enlightened mind inspired by Islam, the one which freedour ancestors from their idols and the obstacles blocking their progress? Hawdid such a mind return to its former prison and fetters, robbed of any chanceto renew and reform the ummah through ijtihad? In a word, the answer is ...

scholarly journals Problematyka praw obywatelskich w świetle poglądów Roberta von Mohla

2021 ◽  
Vol 30 (1) ◽  
pp. 181
Author(s):  
Paweł Lesiński
Keyword(s):  
Civil Rights ◽  
The Other ◽  
Political Rights ◽  
Golden Mean ◽  
The Third ◽  
Other Hand ◽  
German Scholar ◽  
Basic Rights ◽  
German States ◽  
The One

<p>The main object of the presented article is to prove that, according to Robert von Mohl’s views on the idea of civil rights, he should be classified as the exponent of moderate early German liberalism. The first section of the study drafts a background for its next two parts. It presents the socio-political circumstances of the German states from the beginning of the 19<sup>th</sup> century to the developments of the Springtime of the Peoples. The analysis of the German scholar views on the citizenship’s idea in the context of the <em>Rechtsstaat</em> and basic rights notion is undertaken in the second part of the article. In the third part, it is proved, that von Mohl was a thinker who chose the path of the “golden mean”. Regarding the citizen’s position in state, on the one hand, he proposed a substantial catalogue of civil rights. On the other hand, he didn’t support the idea of universal political rights.</p>

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