Volume 11 | Issue 6 |

 Abstract

This thesis delves into the fascinating realm of algebraic mathematics, examining its fundamental concepts, theories, and applications. With a focus on simplicity and clarity, this study provides a comprehensive overview of algebra, intended to be accessible to both experts and beginners in the field. The thesis commences with a brief historical introduction, tracing the evolution of algebra from its origins to its significant contributions to modern mathematics. It highlights key milestones and influential mathematicians who shaped the development of algebra as we know it today. Moving forward, the thesis delves into algebraic structures such as groups, rings, and fields, providing an in-depth analysis of their properties and interrelationships. Special attention is given to the algebraic structures commonly encountered in mathematics and physics, including vector spaces, matrices, and polynomials. An exploration of algebraic equations and systems of equations follows, elucidating techniques for solving linear and quadratic equations, as well as systems of linear equations. The concept of matrices is employed to develop efficient methods such as Gaussian elimination and matrix inverses for solving these systems. The thesis further investigates the theory of algebraic functions and their properties, including polynomial functions, rational functions, and exponential functions. The concept of function composition is introduced, allowing for a deeper understanding of the relationships between different types of functions. Moreover, the thesis explores the application of algebra in various fields, including cryptography, coding theory, computer science, and physics. It sheds light on how algebraic concepts find practical implementation in encryption algorithms, error detection and correction codes, data structures, and quantum mechanics. To facilitate comprehension and reinforce learning, the thesis incorporates numerous examples, illustrations, and exercises throughout its chapters. These resources encourage active engagement and provide opportunities for readers to apply the acquired knowledge

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Algebric Mathematics, varities of algebra,matrix, mean ,median, mode, universal algebra

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

"लोकतांत्रिक प्रणाली में लोगों के अधिकारों को बनाए रखने और उनकी रक्षा करने के लिए न्यायपालिका बहुत महत्वपूर्ण अंग है। न केवल न्यायपालिका के एक अंग की आवश्यकता है बल्कि यह भी बहुत आवश्यक है कि सरकार की यह शाखा अपने कामकाज में स्वतंत्र हो। निर्णय लेने की प्रक्रिया में निष्पक्षता सुनिश्चित करने के लिए स्वतंत्रता आवश्यक है। निर्णय लेने की प्रक्रिया में निष्पक्षता के बिना जनता इन्द्रिय न्याय नहीं देख सकती। स्वतंत्रता के साथ-साथ न्यायिक जवाबदेही और पारदर्शिता भी आवश्यक है। न्यायिक जवाबदेही, पारदर्शिता और स्वतंत्रता के अभाव में; न्याय जनता के लिए भ्रम होगा। न्याय एक लोकतांत्रिक प्रणाली की सबसे महत्वपूर्ण वस्तुओं में से एक है। शुरू करने के लिए, न्यायिक उत्तरदायित्व की अवधारणा को समझना और स्वीकार करना आवश्यक है। उत्तरदायित्व में अनिवार्य रूप से कानूनी प्रणाली में पारदर्शिता की भावना विकसित करना और न्यायिक अपराध को भेदने से रोकने के लिए कठोर सार्वजनिक जांच के अधीन होना शामिल है। साथ ही जवाबदेही को लेकर लंबे समय से चली आ रही बहस भी जारी है। न्यायपालिका की स्वतंत्रता का उल्लंघन एक ऐसी समस्या है जिसका समाधान किया जाना चाहिए। हालाँकि, न्यायिक स्वतंत्रता अपने आप में खड़ी नहीं हो सकती; न्यायिक जवाबदेही जैसा कुछ भी होना चाहिए। विवाद इसलिए पैदा होता है क्योंकि संविधान के लेखकों ने न्यायपालिका को जवाबदेह ठहराने के लिए प्रत्यक्ष रूप से तंत्र उपलब्ध नहीं कराया। इसका कारण न्यायिक स्वतंत्रता के उल्लंघन को रोकना था जो स्वतंत्र और निष्पक्ष न्यायपालिका के निर्माण और निर्माण के लिए आवश्यक है। आगे बढ़ने का लक्ष्य स्वतंत्रता को खतरे में डाले बिना स्व-विनियमन पद्धति के माध्यम से जवाबदेही को बढ़ावा देना है।"

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

प्रमुख शब्द - जवाबदेही, पारदर्शिता. लोकतांत्रिक, जवाबदेही, पारदर्शिता

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

HIGHWAY PROJECT

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

HIGHWAY PROJECT

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

The relationship between music training and self-esteem and emotional development has been a topic of interest in psychological and educational research for decades. Studies have suggested that engaging in music training, such as playing an instrument or singing, can have a positive impact on individuals self-esteem and emotional well-being. The present study found a positive relationship between music training with self esteem and emotional intelligence. The study aims to further explore this connection given the possible advantages of music instruction on emotional growth and self-esteem. Important ramifications for education, therapy, and mental health can result from a better understanding of how music instruction might affect these facets of human development.

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Psychology, Music Training, Self Esteem, Emotional Intelligence, Education

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Calnexin is an ER resident protein with calcium binding ability. It has known functions in glycoprotein folding and maturation. Cumulative evidences indicate the implication of calnexin in apoptosis induced by ER stress. Calnexin gene silencing in lung cancer cell line was shown to decrease cancer cell survival leading to effective chemotherapy. MAR binding protein SMAR1, established to have both tumor suppressor as well as immuno-modulatory functions. We speculated that apart from its tumor suppressor function, SMAR1 might also be involved in immunosurveillance of cancer cells. Earlier results depicted that SMAR1 increases the enrichment of both GATA2 and HDAC1 at calnexin promoter that they might interact with each other and form a repressor complex. However, no reports are available showing its interaction with HDAC1. SMAR1 is known to interact with HDAC1, but its interaction with GATA2 is unknown. We hypothesize that SMAR1 might form a triple complex with GATA2 and HDAC1 resulting in deacetylation of GATA2. We then checked the interaction between SMAR1, GATA2 and HDAC1. GATA2 Acts as an Activator of Calnexin in the Absence of SMAR1. GATA2 is known to act as an activator under acetylated condition, this acetylation is generally carried out by p300, an important member of HAT family of proteins. We try to establish that SMAR1 forms a triple complex with GATA2 and HDAC1. In the presence of SMAR1, there is reduction in acetylation of GATA2. So, we further want to check how SMAR1 and HDAC1 helps in the weak acetylation of GATA2.

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

GATA2, HDAC1, SMAR1

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

The description, characterization and quantisation of the identified and unidentified impurities present in new drug substances is known as impurity profile. Impurity is defined as any substance coexisting with the original drug, such as starting material or intermediates or that is formed, due to any side reactions. Impurity can be of three types: Impurities closely related to the product and coming from the chemical or from the biosynthetic route itself, Impurities formed due to spontaneous decomposition of the drug during the storage or on exposure to extreme conditions, or the precursors which may be present in the final product as impurities. The suggested structures of the impurities can be synthesized and will provide the final evidence for their structures, previously determined by spectroscopic methods. Therefore it is essential to know the structure of these impurities in the bulk drug in order to alter the reaction condition and to reduce the quantity of impurity to an acceptable level. Isolation, identification and quantification of impurities help us in various ways, to obtain a pure substance with less toxicity and, safety in drug therapy.

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

cefotaxime ofheavy multi-component diacetylatedparacetamol

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Hospital wastes pose a significant impact on health and environment. It spred the environmental polution and affect the health of human and animal. So study of bio-medical Weste is very important.

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Immunization pathological waste microbiology culture

  License

Creative Commons Attribution 4.0 and The Open Definition