scholarly journals The Maximal Order of Hyper-($b$-ary)-expansions

10.37236/5441 ◽  
2017 ◽  
Vol 24 (1) ◽  
Author(s):  
Michael Coons ◽  
Lukas Spiegelhofer
Keyword(s):  
Recent Result ◽  
Nonnegative Integer ◽  
Maximal Order ◽  
General Integral ◽  
Integral Bases

Using methods developed by Coons and Tyler, we give a new proof of a recent result of Defant, by determining the maximal order of the number of hyper-($b$-ary)-expansions of a nonnegative integer $n$ for general integral bases $b\geqslant 2$.

COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

2011 ◽  
Vol 83 (3) ◽  
pp. 382-388 ◽  
Author(s):  
KEIVAN BORNA ◽  
PARVIZ SAHANDI ◽  
SIAMAK YASSEMI
Keyword(s):  
Recent Result ◽  
Nonnegative Integer ◽  
Noetherian Ring ◽  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Finiteness Result ◽  
Generalized Local Cohomology Modules ◽  
Cohomology Modules

AbstractLet 𝔞 be an ideal of a Noetherian ring R. Let s be a nonnegative integer and let M and N be two R-modules such that ExtjR(M/𝔞M,Hi𝔞(N)) is finite for all i<s and all j≥0 . We show that HomR (R/𝔞,Hs𝔞(M,N)) is finite provided ExtsR(M/𝔞M,N) is a finite R-module. In addition, for finite R-modules M and N, we prove that if Hi𝔞(M,N) is minimax for all i<s, then HomR (R/𝔞,Hs𝔞(M,N)) is finite. These are two generalizations of the result of Brodmann and Lashgari [‘A finiteness result for associated primes of local cohomology modules’, Proc. Amer. Math. Soc. 128 (2000), 2851–2853] and a recent result due to Chu [‘Cofiniteness and finiteness of generalized local cohomology modules’, Bull. Aust. Math. Soc. 80 (2009), 244–250]. We also introduce a generalization of the concept of cofiniteness and recover some results for it.

FUSIÓN EP PETROECUADOR Y PETROAMAZONAS EP PARA FORMAR MULTINACIONAL

2016 ◽  
Vol 4 (1) ◽  
Author(s):  
Jaime Pinos Manzano
Keyword(s):  
General Integral

En el presente trabajo se realizó un estudio de la posible fusión entre EP Petroecuador y Petroamazonas EP, a fin de conformar una sola empresa de ámbito internacional con las características de una multinacional, que pueda competir adecuadamente con los grandes conglomerados en el manejo de este sector estratégico. La fusión es un instrumento empresarial que permite fortalecer a una corporación en su manejo de manera eficiente. Se partió de una visión general integral de los diferentes actores del sector petrolero para llegar a determinar una sola empresa, sus ventajas y desventajas, contrastando con una breve descripción del desarrollo de la industria petrolera ecuatoriana así como las principales empresas estatales petroleras del mundo, identificando su importancia en cuanto al manejo de la mayor parte de reservas de petróleo y gas a nivel global. De las empresas estatales en cuestión establecemos la ineficiencia del actual sistema en cuanto a la administración, a los resultados de sus operaciones y a la creación de valor, señalando que la fusión conllevaría a un eficiente manejo de carácter empresarial, así como al incremento de beneficios al superar la presencia de las dos empresas de forma independiente. En cuanto a la experiencia histórica de la fusión, se han identificadO resultados positivos por un eficiente manejo estratégico de empresas integradas; se señaló posibles problemas como la monopolización y competencia desleal; y finalmente se concluye que hay una deficiente administración y manejo de la industria petrolera ecuatoriana y duplicidad de las funciones de las dos empresas por una falta de visión integral común, por lo que se propone un modelo de una empresa pública que se constituiría como una multinacional, que rebase su papel de gestora de la industria petrolera nacional y se convierta en una corporación referente, que promueva nuevos emprendimientos e innovaciones en la industria petrolera internacional.

Social Choice and Game Theory: Recent Result from a Topologic Approach

1981 ◽  
Author(s):  
Graciela Chichilnisky
Keyword(s):  
Game Theory ◽  
Social Choice ◽  
Recent Result

Some new generalizations for GA-convex functions

Filomat ◽  
2017 ◽  
Vol 31 (4) ◽  
pp. 1009-1016 ◽  
Author(s):  
Ahmet Akdemir ◽  
Özdemir Emin ◽  
Ardıç Avcı ◽  
Abdullatif Yalçın
Keyword(s):  
Convex Functions ◽  
Integral Identity ◽  
Integral Inequalities ◽  
General Integral ◽  
Second Derivatives ◽  
Derivatives Of

In this paper, firstly we prove an integral identity that one can derive several new equalities for special selections of n from this identity: Secondly, we established more general integral inequalities for functions whose second derivatives of absolute values are GA-convex functions based on this equality.

Univalence criteria for a general integral operator

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Erhan Deniz
Keyword(s):  
Integral Operator ◽  
General Integral ◽  
Significant Relationships ◽  
General Integral Operator ◽  
Univalence Criteria

In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.

scholarly journals Additive kinematic formulas for flag area measures

2021 ◽  
Author(s):  
Judit Abardia-Evéquoz ◽  
Andreas Bernig
Keyword(s):  
Recent Result ◽  
Flag Manifold ◽  
Unit Vector ◽  
Algebraic Framework

AbstractWe show the existence of additive kinematic formulas for general flag area measures, which generalizes a recent result by Wannerer. Building on previous work by the second named author, we introduce an algebraic framework to compute these formulas explicitly. This is carried out in detail in the case of the incomplete flag manifold consisting of all $$(p+1)$$ ( p + 1 ) -planes containing a unit vector.

scholarly journals An Exponential Separation Between MA and AM Proofs of Proximity

2021 ◽  
Vol 30 (2) ◽  
Author(s):  
Tom Gur ◽  
Yang P. Liu ◽  
Ron D. Rothblum
Keyword(s):  
Quantum Information ◽  
Lower Bound ◽  
Recent Result ◽  
Query Complexity ◽  
Random String ◽  
Natural Property ◽  
Public And Private ◽  
Alternate Proof ◽  
Interactive Proofs ◽  
Exponential Separation

AbstractInteractive proofs of proximity allow a sublinear-time verifier to check that a given input is close to the language, using a small amount of communication with a powerful (but untrusted) prover. In this work, we consider two natural minimally interactive variants of such proofs systems, in which the prover only sends a single message, referred to as the proof. The first variant, known as -proofs of Proximity (), is fully non-interactive, meaning that the proof is a function of the input only. The second variant, known as -proofs of Proximity (), allows the proof to additionally depend on the verifier's (entire) random string. The complexity of both s and s is the total number of bits that the verifier observes—namely, the sum of the proof length and query complexity. Our main result is an exponential separation between the power of s and s. Specifically, we exhibit an explicit and natural property $$\Pi$$ Π that admits an with complexity $$O(\log n)$$ O ( log n ) , whereas any for $$\Pi$$ Π has complexity $$\tilde{\Omega}(n^{1/4})$$ Ω ~ ( n 1 / 4 ) , where n denotes the length of the input in bits. Our lower bound also yields an alternate proof, which is more general and arguably much simpler, for a recent result of Fischer et al. (ITCS, 2014). Also, Aaronson (Quantum Information & Computation 2012) has shown a $$\Omega(n^{1/6})$$ Ω ( n 1 / 6 ) lower bound for the same property $$\Pi$$ Π .Lastly, we also consider the notion of oblivious proofs of proximity, in which the verifier's queries are oblivious to the proof. In this setting, we show that s can only be quadratically stronger than s. As an application of this result, we show an exponential separation between the power of public and private coin for oblivious interactive proofs of proximity.

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