Computational Aids for Determining the Minimal Form of a Truth Function

1960 ◽  
Vol 7 (4) ◽  
pp. 299-310 ◽  
Author(s):  
Ronald Prather
Keyword(s):  
Minimal Form ◽  
Truth Function

scholarly journals Harmonic hybrid inflation

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Federico Carta ◽  
Nicole Righi ◽  
Yvette Welling ◽  
Alexander Westphal
Keyword(s):  
Domain Wall ◽  
Symmetry Breaking ◽  
Initial Conditions ◽  
Scalar Potential ◽  
Field Range ◽  
Slow Roll ◽  
Minimal Form ◽  
Wide Range ◽  
Hybrid Inflation ◽  
Type Iib String Theory

Abstract We present a mechanism for realizing hybrid inflation using two axion fields with a purely non-perturbatively generated scalar potential. The structure of the scalar potential is highly constrained by the discrete shift symmetries of the axions. We show that harmonic hybrid inflation generates observationally viable slow-roll inflation for a wide range of initial conditions. This is possible while accommodating certain UV arguments favoring constraints f ≲ MP and ∆ϕ60 ≲ MP on the axion periodicity and slow-roll field range, respectively. We discuss controlled ℤ2-symmetry breaking of the adjacent axion vacua as a means of avoiding cosmological domain wall problems. Including a minimal form of ℤ2-symmetry breaking into the minimally tuned setup leads to a prediction of primordial tensor modes with the tensor-to-scalar ratio in the range 10−4 ≲ r ≲ 0.01, directly accessible to upcoming CMB observations. Finally, we outline several avenues towards realizing harmonic hybrid inflation in type IIB string theory.

scholarly journals Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Guanda Lin ◽  
Gang Yang
Keyword(s):  
Form Factors ◽  
General Strategy ◽  
Dual Representation ◽  
Remainder Function ◽  
Full Color ◽  
Minimal Form ◽  
Planar Part ◽  
Dilatation Operator ◽  
Dependent Form ◽  
Local Operators

Abstract Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large Nc planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in the SU(2) sector in $$ \mathcal{N} $$ N = 4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors of high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor result provides an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergences, we also reproduce the known non-planar SU(2) dilatation operator at two loops. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.

Reduced Order Modeling and Direct Parameter Identification for a Complex Parallel Robot

2008 ◽  
Author(s):  
Jens Kroneis ◽  
Peter Mu¨ller ◽  
Steven Liu
Keyword(s):  
Parameter Identification ◽  
Parallel Robot ◽  
Parallel Robots ◽  
Minimal Form ◽  
Linear Estimators ◽  
New Strategy ◽  
Reduction Methods ◽  
Verification Process ◽  
Dynamical Description ◽  
Solid Edge

In this paper a new strategy for dynamic modeling and parameter identification of complex parallel robots including parallel crank mechanisms is presented. Based on a model reduction strategy motivated by the structure of the parallel robot SpiderMill, kinematics and dynamics are derived in a compact form by applying the modified Denavit-Hartenberg method and the Newton-Euler approach. The obtained parameter-linear dynamical description is reduced to a parameter-minimal form using analytical and numerical reduction methods. Rigid body parameters of the model are identified using optimized trajectories and linear estimators. Through the whole modeling and verification process MSC.ADAMS and Solid Edge models of the demonstrator SpiderMill are used.

scholarly journals Consistency Fuzzy Sets and a Cosine Similarity Measure in Fuzzy Multiset Setting and Application to Medical Diagnosis

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Ezgi Türkarslan ◽  
Jun Ye ◽  
Mehmet Ünver ◽  
Murat Olgun
Keyword(s):  
Correlation Coefficient ◽  
Similarity Measure ◽  
Fuzzy Set ◽  
Medical Diagnosis ◽  
Uncertain Data ◽  
Cosine Similarity ◽  
Comparison Analysis ◽  
Average Value ◽  
Truth Function ◽  
Cosine Similarity Measure

The main purpose of this study is to construct a base for a new fuzzy set concept that is called consistency fuzzy set (CFS) which expresses the multidimensional uncertain data quite successfully. Our motive is to reduce the complexity and difficulty caused by the information contained in the truth sequence in a fuzzy multiset (FMS) and to present the data of the truth sequence in a more understandable and compact manner. Therefore, this paper introduces the concept of CFS that is characterized with a truth function defined on a universal set 0,1 2 . The first component of the truth pair of a CFS is the average value of the truth sequence of a FMS and the second component is the consistency degree, that is, the fuzzy complement of the standard deviation of the truth sequence of the same FMS. The main contribution of a CFS is the reflection of both the level of the average of the data that can be expressed with the different sequence lengths and the degree of the reasonable information in data via consistency degree. To develop this new concept, this paper also presents a correlation coefficient and a cosine similarity measure between CFSs. Furthermore, the proposed correlation coefficient and cosine similarity measure are applied to a multiperiod medical diagnosis problem. Finally, a comparison analysis is given between the obtained results and the existing results in literature to show the efficiency and rationality of the proposed correlation coefficient and cosine similarity measure.

scholarly journals Discovery of a minimal form of RNase P in Pyrobaculum

2010 ◽  
Vol 107 (52) ◽  
pp. 22493-22498 ◽  
Author(s):  
L. B. Lai ◽  
P. P. Chan ◽  
A. E. Cozen ◽  
D. L. Bernick ◽  
J. W. Brown ◽  
...  
Keyword(s):  
Rnase P ◽  
Minimal Form

Legitimacy and Representation beyond Elections (Part Two)

2020 ◽  
pp. 105-127
Author(s):  
Hélène Landemore
Keyword(s):  
Eighteenth Century ◽  
Social Movements ◽  
Political Legitimacy ◽  
Democratic Legitimacy ◽  
Selection Mechanism ◽  
Minimal Form ◽  
Liquid Democracy ◽  
The Individual ◽  
Electoral Representation

This chapter determines whether non-elected bodies with intrinsic democratic credentials, such as mini-publics and self-selected representative groups like social movements, also have the legitimacy to make binding decisions for the rest of the polity. It returns to the question of political legitimacy and proposes that the democratic legitimacy of representatives comes not from individual consent, as eighteenth-century theory of legitimacy understood it, but a plurality of factors, including majoritarian authorization as a necessary but insufficient condition. Majoritarian authorization need not be of directly individual representatives but, instead, of the selection mechanism through which they are selected. The chapter then considers the circumstances under which self-selected representatives can acquire a minimal form of democratic legitimacy even in the absence of any explicit majoritarian authorization of the selection mechanism or of the individual persons thereby selected. It also looks at the problems posed by potential conflicts of legitimacy between different democratic representatives and assesses how these problems may be solved. Finally, the chapter returns to electoral representation and asks whether it could be sufficiently democratized through so-called liquid democracy schemes, which would create a system labelled as “liquid representation.”

23. Trade Secrets

2019 ◽  
pp. 513-522
Author(s):  
Justine Pila ◽  
Paul L.C. Torremans
Keyword(s):  
Legal Protection ◽  
Trade Secret ◽  
Trade Secrets ◽  
Member States ◽  
Legal Rules ◽  
Know How ◽  
Business Information ◽  
Minimal Form ◽  
Definition Of ◽  
Trade Secret Protection

This chapter deals with the legal protection of trade secrets. Traditionally, trade secret protection was left to the national laws of Member States. These national regimes are rooted firmly in existing legal rules in the areas of unfair competition, tort, or breach of confidence. And there is also the “Directive on the protection of undisclosed know-how and business information (trade secrets) against their unlawful acquisition, use, and disclosure”. The Directive seeks to impose on Member States a minimal form of harmonization and uniformity. It does not impose a (Community) right in relation to a trade secret, but it works with a common basic definition of a trade secret, the principle that there needs to be redress for the unlawful acquisition, use, or disclosure of a trade secret, and a catalogue of measures and remedies.

Experimental Investigation of Forced Convection Enhancement by Acoustic Resonance Excitations in Turbulated Heat Exchangers

2020 ◽  
Vol 142 (2) ◽  
Author(s):  
Samuel Gendebien ◽  
Alex Kleiman ◽  
Boris Leizeronok ◽  
Beni Cukurel
Keyword(s):  
Heat Exchanger ◽  
Forced Convection ◽  
Heat Exchangers ◽  
Sound Pressure ◽  
Acoustic Resonance ◽  
Resonance Excitation ◽  
Minimal Form ◽  
Resonance Frequencies ◽  
Double Pipe ◽  
The Impact

Abstract The present research deals with enhancing the thermal performance of turbulated heat exchangers through the application of sound pressure waves at acoustic resonance frequencies. Extending the findings of prior wind tunnel studies, where a standing wave greatly improved the forced convection in reattaching flows, this paper exploits such a phenomenon in a practical heat exchanger setting. The current experiments are conducted in representative turbulated plate and double-pipe heat exchanger geometries, mounted in a dedicated facility. After identifying the inherent acoustic resonance frequencies of the passageways, the impact of excitation is studied in various sound pressure levels, blockage ratios, as well as Strouhal and Reynolds numbers. The acoustic resonance excitation resulted in heat transfer enhancement of 20% and 10% in the plate and double-pipe designs, respectively, absence of additional pressure penalties. To the best knowledge of the authors, this is the first demonstration of acoustic forced convection enhancement in turbulated heat exchanger geometries. Such a technology can pave the way toward future designs that require low-pressure losses, minimal form factor, and/or process controllability.

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