scholarly journals Identities for linear recursive sequences of order $ 2 $

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Tian-Xiao He ◽  
Peter J.-S. Shiue
Keyword(s):  
General Rule ◽  
Transformation Techniques ◽  
Polynomial Sequences ◽  
Recursive Sequences ◽  
Number Sequences ◽  
Sequence Transformation

<p style='text-indent:20px;'>We present here a general rule of construction of identities for recursive sequences by using sequence transformation techniques developed in [<xref ref-type="bibr" rid="b16">16</xref>]. Numerous identities are constructed, and many well known identities can be proved readily by using this unified rule. Various Catalan-like and Cassini-like identities are given for recursive number sequences and recursive polynomial sequences. Sets of identities for Diophantine quadruple are shown.</p>

scholarly journals Recursive sequences and girard-waring identities with applications in sequence transformation

2020 ◽  
Vol 28 (2) ◽  
pp. 1049-1062
Author(s):  
Tian-Xiao He ◽  
◽  
Peter J.-S. Shiue ◽  
Zihan Nie ◽  
Minhao Chen ◽  
...  
Keyword(s):  
Recursive Sequences ◽  
Sequence Transformation

scholarly journals The dual of number sequences, Riordan polynomials, and Sheffer polynomials

2021 ◽  
Vol 10 (1) ◽  
pp. 153-165
Author(s):  
Tian-Xiao He ◽  
José L. Ramírez
Keyword(s):  
Catalan Numbers ◽  
Combinatorial Identities ◽  
Bell Numbers ◽  
Set Partitions ◽  
Polynomial Sequences ◽  
Number Sequences ◽  
Sheffer Polynomials ◽  
Sheffer Polynomial

Abstract In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences. Many examples are given including dual of Hermite numbers and polynomials, dual of Bell numbers and polynomials, among other. The coefficients of some of these polynomials are related to the counting of different families of set partitions and permutations. We also studied the dual of Catalan numbers and dual of Fuss-Catalan numbers, giving several combinatorial identities.

Application Of Electron Probe Analyses Of Minerals In Discussing The Relationship Between Ductile Deformation And Metamorphism

1990 ◽  
Vol 48 (2) ◽  
pp. 250-251
Author(s):  
Fan Guochuan ◽  
Sun Zhongshi
Keyword(s):  
Chemical Composition ◽  
Shear Deformation ◽  
Electron Probe ◽  
General Rule ◽  
Granulite Facies ◽  
Ductile Deformation ◽  
Higher Temperature ◽  
Ductile Shear ◽  
The Relationship ◽  
Ductile Shear Deformation

Under influence of ductile shear deformation, granulite facies mineral paragenesis underwent metamorphism and changes in chemical composition. The present paper discusses some changes in chemical composition of garnet in hypers thene_absent felsic gnesiss and of hypersthene in rock in early and late granulite facies undergone increasing ductile shear deformation .In garnet fetsic geniss, band structures were formed because of partial melting and resulted in zoning from massive⟶transitional⟶melanocrate zones in increasing deformed sequence. The electron-probe analyses for garnet in these zones are listed in table 1 . The Table shows that Mno, Cao contents in garnet decrease swiftly from slightly to intensely deformed zones.In slightly and moderately deformed zones, Mgo contents keep unchanged and Feo is slightly lower. In intensely deformed zone, Mgo contents increase, indicating a higher temperature. This is in accord with the general rule that Mgo contents in garnet increase with rising temperature.

From the “Judicialization of Politics” to the “Politicization of Justice” in the UK and Switzerland

2016 ◽  
Vol 6 (2) ◽  
pp. 118-135
Author(s):  
Lucia Della Torre
Keyword(s):  
General Rule ◽  
The State ◽  
The Other ◽  
Specific Field ◽  
Widespread Phenomenon ◽  
Judicialization Of Politics ◽  
The Uk ◽  
Migration Law

Not very long ago, scholars saw it fit to name a new and quite widespread phenomenon they had observed developing over the years as the “judicialization” of politics, meaning by it the expanding control of the judiciary at the expenses of the other powers of the State. Things seem yet to have begun to change, especially in Migration Law. Generally quite a marginal branch of the State's corpus iuris, this latter has already lent itself to different forms of experimentations which then, spilling over into other legislative disciplines, end up by becoming the new general rule. The new interaction between the judiciary and the executive in this specific field as it is unfolding in such countries as the UK and Switzerland may prove to be yet another example of these dynamics.

Addicted to Christ

2018 ◽  
Author(s):  
Helena Hansen
Keyword(s):  
Cultural Anthropology ◽  
Domestic Space ◽  
Spiritual Power ◽  
Transformation Techniques ◽  
Industrial Culture ◽  
Depth Analysis ◽  
Alternative Masculinities ◽  
Street Corner ◽  
Post Industrial ◽  
The U.S

How are spiritual power and self-transformation cultivated in street ministries? This book provides an in-depth analysis of Pentecostal ministries in Puerto Rico that were founded and run by self-identified “ex-addicts,” ministries that are also widespread in poor Black and Latino neighborhoods in the U.S. mainland. The book melds cultural anthropology and psychiatry. Through the stories of ministry converts, the book examines key elements of Pentecostalism: mysticism, ascetic practice, and the idea of other-worldliness. It then reconstructs the ministries' strategies of spiritual victory over addiction: transformation techniques to build spiritual strength and authority through pain and discipline; cultivation of alternative masculinities based on male converts' reclamation of domestic space; and radical rupture from a post-industrial “culture of disposability.” By contrasting the ministries' logic of addiction with that of biomedicine, the book rethinks roads to recovery, discovering unexpected convergences with biomedicine while revealing the allure of street corner ministries.

ON CONSTRUCT OF THE RIGHT OF PRE-EMPTION IN RESPECT OF PARTICIPATORY INTEREST (SHARES)

2020 ◽  
Vol 20 (4) ◽  
pp. 94-219
Author(s):  
I.S. CHUPRUNOV
Keyword(s):  
General Rule ◽  
Constitutive Theory ◽  
Freedom Of Contract ◽  
Legal Nature ◽  
Public Corporation ◽  
Russian Law ◽  
Right Of First Refusal ◽  
The Right

The paper provides analysis of the legal nature and the mechanism for exercise of the right of pre-emption (right of first refusal) in respect of execution of a contract taking as an example of right of first refusal to purchase a stake in a non-public corporation, and also examines the boundaries of parties’ autonomy and freedom of contract in this area. The author comes to the conclusion that the key elements of the construction of the right of pre-emption are the transformation powers that belong to the right holder. The author also demonstrates that, notwithstanding their dominance in Russian law, the views, which suggest that exercise of the right of pre-emption leads to “transfer of rights and obligations of a purchaser” (the translative theory), should be rejected. These views must be replaced with the constitutive theory, according to which exercise of the right of pre-emption results in a new contract between the right holder and the seller (as a general rule, on the same terms that were agreed between the seller and the purchaser).

The Efficacy of Anti-inflammatory Agents in the Prevention of Atrial Fibrillation Recurrences

2020 ◽  
Vol 28 (1) ◽  
pp. 137-151
Author(s):  
Homa Nomani ◽  
Sara Saei ◽  
Thomas P. Johnston ◽  
Amirhossein Sahebkar ◽  
Amir Hooshang Mohammadpour
Keyword(s):  
Atrial Fibrillation ◽  
Clinical Trials ◽  
Therapeutic Option ◽  
General Rule ◽  
Promising Candidate ◽  
Term Basis ◽  
Inflammatory Drugs ◽  
Anti Inflammatory ◽  
Meta Analyses ◽  
Af Recurrence

: Several studies have indicated an association between inflammation and the recurrence of Atrial Fibrillation (AF), especially after ablation, which is a therapeutic option leading to local inflammation. On the other hand, each AF can lead to another AF, as a general rule. Thus, preventing recurrences of AF is extremely important for patient outcomes. In this paper, we attempted to review the effect of medicinal agents with anti-inflammatory properties on the prevention of AF recurrence. There are several randomized controlled trials (RCTs) and meta-analyses on the prevention of AF recurrence using agents with anti-inflammatory properties, which include steroids, colchicine, statins, and n-3 fatty acids (n-3 FA). Clinical trials evaluating the efficacy of anti-inflammatory drugs in preventing the recurrence of AF led to inconsistent results for corticosteroids, statins and n-3 FAs. These results may be related to the fact that inflammation is not the only factor responsible for triggering recurrences of AF. For example, the presence of structural, mechanical and electrical remodeling could potentially be the most important factors that trigger recurrences of AF but these factors have not been addressed in most of the reported studies. Therefore, future clinical trials are needed to compare the efficacy of anti-inflammatory drugs in AF patients with, or without other factors. For colchicine, a potent anti-inflammatory drug, there are limited studies. However, all the studies investigating colchicine in the context of AF were consistent and promising, especially when colchicine was used on a short-term basis following ablation in patients with paroxysmal AF. Therefore, colchicine could be a promising candidate for further clinical studies involving recurrent AF.

Contract Formation in Hong Kong

2018 ◽  
Author(s):  
Lusina HO
Keyword(s):  
Hong Kong ◽  
Social Context ◽  
Common Law ◽  
General Rule ◽  
Good Faith ◽  
Local Context ◽  
General Duty ◽  
Contract Formation ◽  
Formal Requirement ◽  
The Law

This chapter examines the law on contract formation in Hong Kong which is closely modelled on the English common law but adapts the English solutions to the local context if and when required. The test for ascertaining the parties’ meeting of the minds is objective, the agreement (an offer with a matching acceptance) must be certain, complete, and made with the intention to create legal relations—the latter being presumed to be present in a commercial context and absent in a familial or social context. Offers are freely revocable although the reliance of the offeree is protected in exceptional circumstances. Acceptances become effective as soon as they are dispatched. In the ‘battle of forms’ scenario, the Hong Kong courts follow the traditional ‘last-shot’ rule. There is no general duty to negotiate in good faith, and even agreements to negotiate in good faith are normally unenforceable for lack of certainty. As a general rule, contracts can be validly made without adhering to any formal requirement. Online contracts will normally be valid and enforceable; the formation of such contracts is governed by common law as supplemented by legislation.

No-Oral-Modification Clauses

2018 ◽  
Author(s):  
Melvin A. Eisenberg
Keyword(s):  
Common Law ◽  
General Rule

Chapter 57 concerns no-oral-modification (n.o.m.) clauses. Often a written contract includes a provision that the contract cannot be modified except by a writing. The general rule at common law was that an oral modification of a written contract that includes an n.o.m. clause was enforceable not withstanding the clause. UCC Section 2-209(2) now provides that if a contract for the sale of goods includes an n.o.m. clause modifications must be in writing. The force of Section 2-209(2) is moderated by Section 2-209(4), which provides that although an attempt at modification does not satisfy Section 2-209(2) it can operate as a waiver.

scholarly journals Log-concavity of P-recursive sequences

2021 ◽  
Vol 107 ◽  
pp. 251-268
Author(s):  
Qing-hu Hou ◽  
Guojie Li
Keyword(s):  
Recursive Sequences
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