Informationally restricted correlations: a general framework for classical and quantum systems

We introduce new methods and tools to study and characterise classical and quantum correlations emerging from prepare-and-measure experiments with informationally restricted communication. We consider the most general kind of informationally restricted correlations, namely the ones formed when the sender is allowed to prepare statistical mixtures of mixed states, showing that contrary to what happens in Bell nonlocality, mixed states can outperform pure ones. We then leverage these tools to derive device-independent witnesses of the information content of quantum communication, witnesses for different quantum information resources, and demonstrate that these methods can be used to develop a new avenue for semi-device independent random number generators.

Research Perception Towards Copy-Move Image Forgery Detection: Challenges and Future Directions

In digital images, Copy-Move Forgery is a general kind of forgery techniques. The process of replicating one part of the image within the same image is termed as copy-move forgery. An effective and reliable approach needs to be developed for identifying these forgeries for restoring the image trustworthiness. The main intent of this paper is to sort out the diverse copy-move image forgery detection models. This survey makes an effective literature analysis on a set of literal works from the past 10 years. The analysis is focused on categorizing the models based on transformation models, machine learning algorithms, and other advanced techniques. The main contribution and limitations of the works are clearly pointed out. In addition, the types of datasets and the simulation platforms utilized by different copy-move forgery detection (CMFD) models are analyzed. The performance measures evaluated by different contributions have been observed for making a concluding decision. The utilization of optimization algorithms on copy-move image forgery detection has also been studied. Finally, the research gaps and challenges with future direction are discussed, which is helpful for researchers in developing an efficient CMFD that could attain high performance.

SIMULATION MODELING OF THE PROCESS OF NUT SHELL DEFORMATION

This section presents the results obtained after processing the provisions using SolidWorks. Schemes of loading of a nut with pressure and the modulus of resistance on a ring are presented, the general kind of a nut with its distribution in two-dimensional finite elements is presented, graphs of correlations between the stresses and strains appearing in a nut shell depending on force acting are established. and undeformed walnut shell and it was presented that the initial crack appears at the junction of the halves of the nut shell. Today, walnut is one of the niche crops. Only 7% of the land on the planet is suitable for growing nuts, and Ukraine is one of the few countries where the entire territory is suitable for cultivating this crop. According to statistics, in 2019 the area of walnut plantations in Ukraine amounted to 15.8 thousand hectares, of which 85.4% are concentrated in private households and they provide 99.2% of the production of this product. But this factor affects the unstable supply of this crop, as it is difficult to form commodity batches of different varieties of nuts, as well as narrows the range and reduces its cost. The annual consumption of nuts in Europe and the Persian Gulf is 4.2-5.6 kg per person, while in Ukraine the figures are more than modest - only 1.8-2.4 kg, at normal (according to the Institute of Nutrition of the Ukrainian Academy of Sciences ) from 1.5-3.6 kg. Walnuts are the most popular and beloved. They are not only very tasty, but also very useful. Due to the content of binders, walnut is a good anti-inflammatory agent. Extracts and nut preparations have antitoxic effects, remove various toxins from the body, as they say, cleanse the blood. The work related to the process of modeling the deformation of the nut shell is very relevant. The obtained results can be integrated into the work of the nutcracker for greater efficiency, which will allow to obtain a better quality product

Foundations of the Quaternion Quantum Mechanics

We show that quaternion quantum mechanics has well-founded mathematical roots and can be derived from the model of the elastic continuum by French mathematician Augustin Cauchy, i.e., it can be regarded as representing the physical reality of elastic continuum. Starting from the Cauchy theory (classical balance equations for isotropic Cauchy-elastic material) and using the Hamilton quaternion algebra, we present a rigorous derivation of the quaternion form of the non- and relativistic wave equations. The family of the wave equations and the Poisson equation are a straightforward consequence of the quaternion representation of the Cauchy model of the elastic continuum. This is the most general kind of quantum mechanics possessing the same kind of calculus of assertions as conventional quantum mechanics. The problem of the Schrödinger equation, where imaginary ‘i’ should emerge, is solved. This interpretation is a serious attempt to describe the ontology of quantum mechanics, and demonstrates that, besides Bohmian mechanics, the complete ontological interpretations of quantum theory exists. The model can be generalized and falsified. To ensure this theory to be true, we specified problems, allowing exposing its falsity.

Foundations of the Quaternion Quantum Mechanics

We show that the quaternion quantum mechanics has well-founded mathematical roots and can be derived from the model of elastic continuum by French mathematician Augustin Cauchy, i.e., it can be regarded as representing physical reality of elastic continuum. Starting from the Cauchy theory (classical balance equations for isotropic Cauchy-elastic material) and using the Hamilton quaternion algebra we present a rigorous derivation of the quaternion form of the non- and relativistic wave equations. The family of the wave equations and the Poisson equation are a straightforward consequence of the quaternion representation of the Cauchy model of the elastic continuum. This is the most general kind of quantum mechanics possessing the same kind of calculus of assertions as conventional quantum mechanics. The problem of the Schrödinger equation, where imaginary ‘i’ should emerge, is solved. This interpretation is a serious attempt to describe the ontology of quantum mechanics, and demonstrates that, besides Bohmian mechanics, the complete ontological interpretations of quantum theory exists. The model can be generalized and falsified. To ensure this theory to be true, we specified problems allowing exposing its falsity.

Some partition and analytical identities arising from the Alladi, Andrews, Gordon bijection

In the work of Alladi et al. (J Algebra 174:636–658, 1995) the authors provided a generalization of the two Capparelli identities involving certain classes of integer partitions. Inspired by that contribution, in particular as regards the general setting and the tools the authors employed, we obtain new partition identities by identifying further sets of partitions that can be explicitly put into a one-to-one correspondence by the method described in the 1995 paper. As a further result, although of a different nature, we obtain an analytical identity of Rogers–Ramanujan type, involving generating functions, for a class of partition identities already found in that paper and that generalize the first Capparelli identity and include it as a particular case. To achieve this, we apply the same strategy as Kanade and Russell did in a recent paper. This method relies on the use of jagged partitions that can be seen as a more general kind of integer partitions.

External Teleology and Functionalism: Hegel, Life Science and the Organism–Environment Relation

In the chapter on Observing Reason in the Phenomenology, as well as in §368 of the Philosophy of Nature, Hegel deals with the life sciences of his time. There, he labels the methodology of its representatives, namely zoology and comparative anatomy, as external teleology. In this paper I want to show that by doing so he is actually discussing a general kind of functionalism. Thereby, I want to highlight a line of thought in Hegel's texts which represents a productive reading of external teleology contrary to a destructive reading on which scholars have mainly focussed.

Statistical methods applied to the search of sterile neutrinos

The frequentist statistical methods applied to search for short-baseline neutrino oscillations induced by a sterile neutrino with mass at the eV scale are reviewed and compared. The comparison is performed under limit setting and signal discovery scenarios, considering both when an oscillation would enhance the neutrino interaction rate in the detector and when it would reduce it. The sensitivity of the experiments and the confidence regions extracted for specific data sets change considerably according to which test statistic is used and the assumptions on its probability distribution. A standardized analysis approach based on the most general kind of hypothesis test is proposed.

Hegel

Hegel defends the reality and the priority of immanent teleology. He does so by accepting Kant’s analysis of immanent teleology, but arguing against Kant’s subjectivist position. Key to Hegel’s argument is the idea that a general kind—in Hegel’s terms, a “concept” of a form of life—can be the substance or nature of the individual organism, or determine what it is to be that organism. In some ways Hegel here follows his own interpretation of Aristotle, while also trying to turn modern arguments against immanent teleology to his own opposing purposes. And we can approach in these terms the way in which Hegel tries to build his broader metaphysics around teleology.