The Application of Operations Research Techniques to Finance Sector

Operations research as a branch of comprehensive and multidisciplinary cross science, there are two types of decision problems. The first one is how to make use of resource to fulfill the tasks as much as possible. The other one is how to Using the least amount of resources to complete a certain task. This paper reviews the application of Operations Research to financial markets. After considering reasons for the attractiveness of general finance problems to OR researchers, the main types of financial market problem amenable to OR are identified, and some of the many problems solved using OR are documented. While mathematical programming is the most widely applied technique, OR now plays an important role in the operation of financial markets and this importance is likely to increase, creating the opportunity for OR (and operations researchers) to play an even greater role

BOOK REVIEW- “Discrete Mathematics and Its Applications†Author: Kenneth Rosen Edition: Seventh

a focused introduction to the primary themesin a discrete mathematics course, asintroduced through extensive applications,expansive discussion, and detailed exercisesets. These themes include mathematicalreasoning, combinatorial analysis, discretestructures, algorithmic thinking, andenhanced problem-solving skills throughmodeling. Its intent is to demonstrate therelevance and practicality of discretemathematics to all students. This enhancedcoverage will provide students with a solidunderstanding of the material as it relates totheir immediate field of study and otherrelevant subjects. The inclusion ofapplications and examples to key topics hasbeen significantly addressed to add clarity toevery subject

Learning Concepts of Mathematics using GeoGebra at the College Level

ABSTRACT: This paper presents new trends in technology and learning through Geogebra, which could be especially important for the future development of e-learning for College mathematics. Also, contribution of this paper is presentation of methodological frames on several specifics examples for teaching mathematics at the college level on interactive and creative way

Covering energy of posets and its bounds

summary:The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with $2n$ elements and a fence with $n$ elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets

Wireless ARM based Automated System for Geriatrics

This paper is an attempt to presentWireless ARM based automated system with extended range of Bluetooth, keeping in mind the low cost factor while conceiving the design having a user friendly interface and easy installation process enabling user to control the various home appliances in the connected cluster/s in a comfortable manner.The target customers are geriatrics who needs special attention. DOI: 10.17762/ijritcc2321-8169.15085

Constant Approximation for kk-Median and kk-Means with Outliers via Iterative Rounding

In this paper, we present a new iterative rounding framework for many clustering problems. Using this, we obtain an $(\alpha_1 + \epsilon \leq 7.081 + \epsilon)$-approximation algorithm for $k$-median with outliers, greatly improving upon the large implicit constant approximation ratio of Chen [Chen, SODA 2018]. For $k$-means with outliers, we give an $(\alpha_2+\epsilon \leq 53.002 + \epsilon)$-approximation, which is the first $O(1)$-approximation for this problem. The iterative algorithm framework is very versatile; we show how it can be used to give $\alpha_1$- and $(\alpha_1 + \epsilon)$-approximation algorithms for matroid and knapsack median problems respectively, improving upon the previous best approximations ratios of $8$ [Swamy, ACM Trans. Algorithms] and $17.46$ [Byrka et al, ESA 2015]. The natural LP relaxation for the $k$-median/$k$-means with outliers problem has an unbounded integrality gap. In spite of this negative result, our iterative rounding framework shows that we can round an LP solution to an almost-integral solution of small cost, in which we have at most two fractionally open facilities. Thus, the LP integrality gap arises due to the gap between almost-integral and fully-integral solutions. Then, using a pre-processing procedure, we show how to convert an almost-integral solution to a fully-integral solution losing only a constant-factor in the approximation ratio. By further using a sparsification technique, the additive factor loss incurred by the conversion can be reduced to any $\epsilon > 0$

4-{[(E)-(3-Phenyl-1H-pyrazol-4-yl)methyl­idene]amino}-1H-1,2,4-triazole-5(4H)-thione

In the title compound, C12H10N6S, a weak intra­molecular C—H⋯S hydrogen bond stabilizes the mol­ecular conformation. The pyrazole and triazole rings form a dihedral angle of 17.82 (8)°. The mol­ecule adopts an E configuration with respect to the central C=N double bond. In the crystal, inter­molecular N—H⋯N and N—H⋯S hydrogen bonds link mol­ecules into chains propagating in [20]

Phase II Proof-of-Concept Trial of the Orexin Receptor Antagonist Filorexant (MK-6096) in Patients with Major Depressive Disorder.

BackgroundWe evaluated the orexin receptor antagonist filorexant (MK-6096) for treatment augmentation in patients with major depressive disorder.MethodsWe conducted a 6-week, double-blind, placebo-controlled, parallel-group, Phase II, proof-of-concept study. Patients with major depressive disorder (partial responders to ongoing antidepressant therapy) were randomized 1:1 to once-daily oral filorexant 10 mg or matching placebo.ResultsDue to enrollment challenges, the study was terminated early, resulting in insufficient statistical power to detect a prespecified treatment difference; of 326 patients planned, 129 (40%) were randomized and 128 took treatment. There was no statistically significant difference in the primary endpoint of change from baseline to week 6 in Montgomery Asberg Depression Rating Scale total score; the estimated treatment difference for filorexant-placebo was -0.7 (with negative values favoring filorexant) (P=.679). The most common adverse events were somnolence and suicidal ideation.ConclusionsThe interpretation of the results is limited by the enrollment, which was less than originally planned, but the available data do not suggest efficacy of orexin receptor antagonism with filorexant for the treatment of depression. (Clinical Trial Registry: clinicaltrials.gov: NCT01554176)

1-[(E)-(3,4-Dimethyl­isoxazol-5-yl)imino­meth­yl]-2-naphthol

The title Schiff base compound, C16H14N2O2, has been synthesized by the reaction of 5-amino-3,4-dimethyl­isoxazole and 2-hydr­oxy-1-naphthaldehyde. The dihedral angle between the isoxazole ring and the napthyl ring system is 3.29 (7)°. The mol­ecule adopts an E configuration about the central C=N double bond. Intra­molecular O—H⋯N hydrogen bonding generates an S(6) ring motif. In the crystal structure, π–π inter­actions are observed involving the isoxazole ring and the substituted benzene ring of the naphthyl unit, with centroid–centroid distances of 3.5200 (10) Å