५ वी गणित कन्नड
| Publication Language |
Kannada |
|---|---|
| License Type |
Open Access |
| Publication Type |
Textbooks |
| Publication Author |
Balbharati |
| Publisher |
Balbharati |
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Statistical Tools for Measuring Agreement
Agreement assessment techniques are widely used in examining the acceptability of a new or generic process, methodology and/or formulation in areas of lab performance, instrument/assay validation or method comparisons, statistical process control, goodness-of-fit, and individual bioequivalence. Successful applications in these situations require a sound understanding of both the underlying theory and methodological advances in handling real-life problems. This book seeks to effectively blend theory and applications while presenting readers with many practical examples. For instance, in the medical device environment, it is important to know if the newly established lab can reproduce the instrument/assay results from the established but outdating lab. When there is a disagreement, it is important to differentiate the sources of disagreement. In addition to agreement coefficients, accuracy and precision coefficients are introduced and utilized to characterize these sources. This book will appeal to a broad range of statisticians, researchers, practitioners and students, in areas of biomedical devices, psychology, medical research, and others, in which agreement assessment are needed. Many practical illustrative examples will be presented throughout the book in a wide variety of situations for continuous and categorical data.
Essay on the Foundations of Geometry, An
Bertrand Russell was a prolific writer, revolutionizing philosophy and doing extensive work in the study of logic. This, his first book on mathematics, was originally published in 1897 and later rejected by the author himself because it was unable to support Einstein's work in physics. This evolution makes An Essay on the Foundations of Geometry invaluable in understanding the progression of Russell's philosophical thinking. Despite his rejection of it, Essays continues to be a great work in logic and history, providing readers with an explanation for how Euclidean geometry was replaced by more advanced forms of math. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).
Journal of the Ramanujan Mathematical Society
After RMS was founded in 1985, the starting of its journal - Journal of the Ramanujan Mathematical Society (JRMS) - followed as a sequitur in 1986. As one who mooted the idea of starting the journal, the mantle of Editor-in-Chief fell naturally upon Professor K.S. Padmanabhan. He put it on a solid foundation during the period 1986-1991 of his chief editorship so that it could shape into a truly international journal. Professor V. Kannan succeeded him in 1992 and continued in this capacity till 1996. Professor Kumar Murty took over the Chief Editorship in 1997. Embedded as he is in the pride of Indian nationalism, Professor Kumar Murty has chosen a team of relatively young but accomplished mathematicians, all Indian, as his associate editors for the JRMS . Under his stewardship, JRMS has witnessed a meteoric rise that could be seen from the fact that the American Mathematical Society (AMS) came forward to undertake the distribution of JRMS outside India. To start with, it had ordered for 25 copies; this was later raised to 40 and then to 50. Apart from this, there are some 105 Indian subscribers, too. The journal is also being mailed free to all the members of the Society who opted for it in the membership form. To start with, JRMS had two issues per year. Now it has four issues per year and it is proposed to increase the number to six possibly from next year. True to the wishes of the founders of RMS, the journal maintains both quality and regularity, the quality is being taken care of by the Editor-in-Chief and his associates and regularity, by the untiring efforts of the Managing Editor Professor Sampathkumar.
Pi
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Euler?s Number. Why Is Eule’s Number “E” the Basis of Natural Logarithm Functions
Document from the year 2016 in the subject Mathematics - Miscellaneous, grade: A, , course: IB Math HL, language: English, abstract: When the concept of logarithms was first introduced to me, a plethora of questions revolved around my mind. My inquisitiveness compelled me to think and ask questions as to where are the practical applications of logarithms, why do we take different bases of these functions and what is the need for natural logarithms. Amongst these questions, one particularly intrigued me: why is e particularly the base of the natural logarithm. Why out of all numbers that exist did we choose e as the base of the natural logarithm function? I was fascinated by why taking the base e made the normal logarithm a natural logarithm. Therefore, to quench the curiosity of many others like me, I will show through this paper that why e is the correct choice for the base of exponential and natural logarithm functions. I shall also be exploring the most important property of e, via this paper.