A STUDY ON PYTHAGOREAN TRIPLES

The Pythagorean numbers play a significant role in the theory of higher arithmetic as they come in the majority of indeterminate problem. For the discovery of the law of the three squares (Pythagorean equation), really, one should be indebted to the Pythagorean who were the first Greeks with great intellectual perception. One may notice to his surprise that the Egyptians, the Chinese, the Babylonians and the Indians knew some knowledge of the property of right angled Pythagorean triangles or Pythagorean numbers .Since there is a 1−1 correspondence between Pythagorean numbers and Pythagorean triangles, we shall use them interchangeably. The only geometrical theorem with which the ancient Chinese were acquainted is that the area of the square described on the hypotenuse of a right angled triangle is equal to the sum of the areas of the squares described on the sides. A Pythagorean triangle is a right triangle whose sides are integral lengths

A study to assess the effectiveness of cumin water consumption in promoting hunger level among children 6-12 years of age, admitted in Pediatric Medical Ward, Institute of Child Health and Hospital for Children, Chennai

Children were domains for every country, bringing healthy children and paving for their health is mandatory of the government. The current scenario is about our traditional ingredients, cumin, it’sayurvedic property and medicinal effect, daily use in routine life, it also used to improve hunger level among children with complaints of loss of appetite. Need for study Cumin is extremely good for digestion and related problems. The very smell (aroma) of it, which comes from an aromatic organic compound called Cuminaldehyde, the main component of its essential oil, activates our salivary glands in our mouth.it promotes primary digestion of the food. Objectives 1. To assess the hunger level before consumption of cumin water among children 6-12 years of age of experimental and control group admitted in pediatric medical ward. 2. To evaluate the hunger level after consumption of cumin water among children 6-12 years of age of experimental group admitted in pediatric medical ward. 3. To evaluate the hunger level among children 6-12 years of age of control group admitted in pediatric medical ward. 4. To determine the effectiveness of consumption of cumin water among children 6- 12 years of age of experimental and control group admitted in pediatric medical ward. 5. To find association between the selected demographic variables with post test scores of promoting hunger among children 6-12 years of age of experimental group admitted in pediatric medical ward. Conclusion There is a significant improvement in hunger level after consuming of cumin water among children, and health education was only the effective way to upgrade their health status. The natural resource cum appetizer did a remarkable change among the children by reducing loss of appetite and improving hunger leve

Ethyl 6-amino-5-cyano-2,4-bis­(4-methyl­phen­yl)-4H-pyran-3-carboxyl­ate

In the title compound, C23H22N2O3, the pyran ring adopts a twisted boat conformation. The tolyl rings and carboxyl­ate group are attached to the pyran ring with torsion angles of −77.1 (2), 59.5 (3) and 17.8 (3)°, respectively. The ethyl group is disordered over two orientations with a site-occupancy ratio of 0.508 (5):0.492 (5). In the crystal, mol­ecules are linked by N—H⋯N and N—H⋯O hydrogen bonds, generating a chain running the a axis. Weak C—H⋯O, C—H⋯N and C—H⋯π inter­actions are also observed

Ethyl 2-(6-amino-5-cyano-3,4-dimethyl-2H,4H-pyrano[2,3-c]pyrazol-4-yl)acetate

In he title compound, C13H16N4O3, the pyrazole ring is planar (r.m.s. deviation = 0.054 Å). The pyran ring is not planar; the mean plane makes a dihedral angle of 1.9 (1)° with the pyrazole ring. In the crystal structure, inter­molecular N—H⋯N and N—H⋯O inter­actions lead to a linear chain motif

Bio synthesis, Characterization of ZnO Nanoparticles from Scoparia dulcis L. plant extract and its in-vitro Antioxidant, Acetylcholinesterase Activity

The current investigation is focused on the use of green synthesis methods for zinc oxide nanoparticles (ZnO NPs) from Scoparia dulcis L. extract (SDE). SDE-mediated ZnO NPs (SDE-ZnO-NPs) were made using a simple and eco-friendly method that required little reaction time and calcinations temperature. UV-Vis, FTIR, X-ray powder diffraction, SEM, TEM & EDAX were used into characterizes the skeletal and synthetic properties concerning biosynthesized ZnO nonmaterial. The UV–Visible spectroscopy absorption peak for SDE-ZnO-NPs was found to be at 380 nm, confirming the production of ZnO NPs. The FTIR spectrum also revealed bioactive functional groups as well as metal-oxygen groups. Synthesized ZnO NPs had a rod shape in 200 nm, according to TEM examination. The Zn and O in the produced ZnO NPs were approved by the EDAX analysis. The XRD results revealed that it had a crystal structure that was similar to SDE-ZnO-NPs. The dose-related Acetylcholinesterase inhibitory action of SDE-ZnO NPs was determined utilizing the Ellman’s test. AChE activity of the synthesized nanoparticles showed potential inhibitory activity with IC50 values of 75.34 µg/mL. The antioxidant activity was investigated the biosynthesized ZnO-NPs using DPPH, ABTS assay

6-Amino-3,4-dimethyl-4-phenyl-2H,4H-pyrano[2,3-c]pyrazole-5-carbonitrile

In the title compound, C15H14N4O, the pyrazole ring is aligned at 88.23 (4)° with respect to the aromatic ring and at 3.75 (4)° with respect to the pyran ring. In the crystal, N—H⋯N hydrogen bonds link adjacent mol­ecules into a linear chain motif. C—H⋯N inter­actions are also observed

Crossed out modular equations of degree 11 of Ramanujan

In this paper, we confirm two modular equations of degree 11 of S. Ramanujan which were crossed out by him on page 244 of his second notebook

The early history of glaucoma: the glaucous eye (800 BC to 1050 AD)

To the ancient Greeks, glaukos occasionally described diseased eyes, but more typically described healthy irides, which were glaucous (light blue, gray, or green). During the Hippocratic period, a pathologic glaukos pupil indicated a media opacity that was not dark. Although not emphasized by present-day ophthalmologists, the pupil in acute angle closure may appear somewhat green, as the mid-dilated pupil exposes the cataractous lens. The ancient Greeks would probably have described a (normal) green iris or (diseased) green pupil as glaukos. During the early Common Era, eye pain, a glaucous hue, pupil irregularities, and absence of light perception indicated a poor prognosis with couching. Galen associated the glaucous hue with a large, anterior, or hard crystalline lens. Medieval Arabic authors translated glaukos as zarqaa, which also commonly described light irides. Ibn Sina (otherwise known as Avicenna) wrote that the zarqaa hue could occur due to anterior prominence of the lens and could occur in an acquired manner. The disease defined by the glaucous pupil in antiquity is ultimately indeterminate, as the complete syndrome of acute angle closure was not described. Nonetheless, it is intriguing that the glaucous pupil connoted a poor prognosis, and came to be associated with a large, anterior, or hard crystalline lens

On Anti-Q-Fuzzy Deductive Systems of Hilbert Algebras

In this paper, the concept of anti-Q-fuzzy deductive systems concepts of Hilbert algebras are introduced and proved some results. Further, we discuss the relation between anti-Q-fuzzy deductive system and level subsets of a Q-fuzzy set. Anti Q-fuzzy deductive system is also applied in the Cartesian product of Hilbert algebras