From Bachelier to Dupire via optimal transport

Famously, mathematical finance was started by Bachelier in his 1900 PhD thesis where – among many other achievements – he also provided a formal derivation of the Kolmogorov forward equation. This also forms the basis for Dupire’s (again formal) solution to the problem of finding an arbitrage-free model calibrated to a given volatility surface. The latter result has rigorous counterparts in the theorems of Kellerer and Lowther. In this survey article, we revisit these hallmarks of stochastic finance, highlighting the role played by some optimal transport results in this context.

Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the notions of ideal convergence and summability methods by regular summability matrices.

Exploring Health Care Sector using AI with IoT

The new progressions in the Internet of Things (IoT) and Artificial Intelligence (AI) changed the traditional medical care framework into intelligent medical care. By consolidating key innovations, for example, IoT and AI, clinical benefits can be improved. The intermingling of IoT and AI offers various freedoms in the medical care area. the current survey article presents AI and IoT innovations in various fields. Like AI and IoT are utilized to recognize infections at introductory stages, keepa record of the relative activity of exercises, is extremely useful at the hours of crisis, deals with physical just as psychological wellness. It will likewise save a ton of cost and will be utilized for enormous scope.

Geometry of Kleinian groups and its applications

The notion of Kleinian groups was first introduced by Poincaré in the 19th century, and their study from a viewpoint of complex analysis was developed by Ahlfors, Bers, Kra, Maskit and Marden among others. After Thurston’s innovative work, topological study of Kleinian groups was started and flourished. In this survey article, we look back on Thurston’s influential work and his famous 10 open questions, and explain their significance and how they have been solved. In the latter half, we shall look at more recent development of the theory of Kleinian groups.

Nanosuspension a Promising Tool for Solubility Enhancement: A Review

Nanotechnology is the science that manages the interaction that happens at sub-atomic level and of nano length scale size. Nano alludes to the molecule size in between of 1-1000nm. Nanosuspensions are going under nanotechnology. A drug Nanosuspension is characterized as finely colloid, biphasic, scattered strong medication particles in a fluid vehicle, size under 1 μm settled by surfactants and polymers arranged by reasonable techniques for drug conveyance applications. It gives effective conveyance of hydrophobic drugs and expands the bioavailability. Nanosuspension is an alluring and promising innovation to improve helpless solvency and bioavailability of the drugs. This survey article depicts the strategies for development, techniques and stability related study of nanosuspensions in the field of drug sciences.

Beyond Multimedia Authoring

The mulsemedia (Multiple Sensorial Media (MulSeMedia)) concept has been explored to provide users with new sensations using other senses beyond sight and hearing. The demand for producing such applications has motivated various studies in the mulsemedia authoring phase. To encourage researchers to explore new solutions for enhancing the mulsemedia authoring, this survey article reviews several mulsemedia authoring tools and proposals for representing sensory effects and their characteristics. The article also outlines a set of desirable features for mulsemedia authoring tools. Additionally, a multimedia background is discussed to support the proposed study in the mulsemedia field. Open challenges and future directions regarding the mulsemedia authoring phase are also discussed.

Using ML and Data-Mining Techniques in Automatic Vulnerability Software Discovery

Today’s age is Machine Learning (ML) and Data-Mining (DM) Techniques, as both techniques play a significant role in measuring vulnerability prediction accuracy. In the field of computer security, vulnerability is a fault that might be exploited as a risk artist that performs unlawful activities inside computer security. The attackers have several different fitting tools and they are taking advantage to operate software illegally and are using it for getting self-profit. Additionally, that helps to expose and identify the violence external. Weakness management remains a repeating exercise to identify, remediating, and justifying weaknesses. These exercises normally send software faults in computing security. The meaning of using weakness with the same risk might go to misperception. It is possible to have a major effect because of possible stability and the window of weakness presented a risk hole in the software and required to fruitfully finish and smoothly operate. A security room has to be set up (zero-day invaders). Software Security Faults stand serious among unavoidable complications in the realm of computer risk. In this study, we have provided a comprehensive review of three book chapters, more than a hundred research articles papers, and several associated papers of different work that have been studied within the capacity of SVA and discovery applying ML and data-mining techniques. The earlier work has been thoroughly read and an adequately comprehensive summary has been provided in table-1. ML techniques that can professionally handle these attacks and we expect the net result of this survey article to help indesigning the new detection model for identifying the above-mentioned attacks

REVIEW ARTICLE ON PULSATILE DRUG DELIVERY SYSTEM

Pulsatile drug delivery systems (PDDS) are acquiring a lot of interest as they deliver the medication at the perfect place at the perfect time and in the perfect amount, subsequently giving spatial and transient delivery and increasing patient consistency. These systems are designed by the circadian rhythm of the body. The primary reasoning for the utilization of pulsatile arrival of the medications is the place where a consistent medication release is not desired. A pulse must be planned so that a complete and rapid medication release is accomplished after the lag time. A different system such as capsular system, osmotic system, single-and multiple unit system dependent on the utilization of soluble or erodible polymer coating, and the utilization of rupturable films has been managed in the article. It sums up the most recent technology development, formulation parameter, and delivery profiles of this system. PDDS is helpful for the medications having chronopharmacological conduct where night-time dosing is required, such as anti-arrhythmic, anti-ulcerative, and anti-asthmatic, and so on The momentum survey article talked about the explanations behind the advancement of the PDDS, benefits, limitation, mechanism of medication release, need for pulsatile drug delivery, a disease that requires pulsatile technology, classification, and future parts of PDDS.

Differential-algebraic systems are generically controllable and stabilizable

We investigate genericity of various controllability and stabilizability concepts of linear, time-invariant differential-algebraic systems. Based on well-known algebraic characterizations of these concepts (see the survey article by Berger and Reis (in: Ilchmann A, Reis T (eds) Surveys in differential-algebraic equations I, Differential-Algebraic Equations Forum, Springer, Berlin, pp 1–61. 10.1007/978-3-642-34928-7_1)), we use tools from algebraic geometry to characterize genericity of controllability and stabilizability in terms of matrix formats.