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Probability theory -- Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for modelling situations when the result of an experiment, ... > full article Trigonometry -- Trigonometry is a branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees (right triangles). Triangles on a sphere are also ... > full article Random variable -- A random variable is a mathematical function that maps outcomes of random experiments to numbers. It can be thought of as the numeric result of operating a non-deterministic mechanism or performing a ... > full article Parallelogram -- A parallelogram is a four-sided plane figure that has two sets of opposite parallel sides. Every parallelogram is a polygon, and more specifically a quadrilateral. Special cases of a parallelogram ... > full article Algebraic geometry -- Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials. ... > full article Mathematics -- Mathematics is often defined as the study of topics such as quantity, structure, space, and change. Mathematics, in nearly every society, is used in fields such as the natural sciences, engineering, ... > full article Geometry -- Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, ... > full article Calculus -- Calculus is a central branch of mathematics. Calculus is built on two major complementary ideas, both of which rely critically on the concept of limits. The first is differential calculus, which is ... > full article Ellipse -- In mathematics, an ellipse is a plane algebraic curve where the sum of the distances from any point on the curve to two fixed points is constant. An ellipse can be drawn with two pins, a loop of ... > full article Correlation -- In probability theory and statistics, correlation, also called correlation coefficient, indicates the strength and direction of a linear relationship between two random variables. In general ... > full article A mathematical model is an abstract model that uses mathematical language to describe the behaviour of a system. Mathematical models are used particularly in the natural sciences and engineering ... > full article Euclidean geometry -- Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the first systematic discussion of geometry. It has been ... > full article Hyperbolic geometry -- In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is rejected. The parallel postulate in Euclidean geometry states, for two ... > full article Angle -- An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. Angles provide a means of expressing the difference in slope between two rays meeting at a vertex ... > full article Möbius strip -- The Möbius strip or Möbius band is a surface with only one side and only one boundary component. It has the mathematical property of being non-orientable. It is also a ruled surface. It was ... > full article Triangle -- A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments. Any three non-collinear points determine a triangle and a unique ... > full article Uniform distribution (continuous) -- In mathematics, the continuous uniform distributions are probability distributions such that all intervals of the same length are equally probable. When working with probability, it is often useful ... > full article List of mathematical proofs -- Wikipedia contains a number of articles with mathematical ... > full article Topology -- Topology is a branch of mathematics, an extension of geometry. Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology ... > full article Symmetry in mathematics -- Symmetry in mathematics occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change under a set of ... > full article |
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How To Predict The Future Of The Past Tense (October 11, 2007) -- Verbs evolve and homogenize at a rate inversely proportional to their prevalence in the English language, according to a formula developed by Harvard University mathematicians who've invoked ... > full story
New Mathematical Model Unravels The Mechanics Of Microbe Reproduction (October 11, 2007) -- In process that is shrouded in mystery, rod-shaped bacteria reproduce by splitting themselves in two. By applying advanced mathematics to laboratory data, scientists have solved a small but important ... > full story
Mathematicians Help Unlock Secrets Of The Immune System (October 10, 2007) -- A group of scientists, led by mathematicians, has taken on the challenge of building a common model of immune responses. Their work will radically improve our understanding of the human immune system ... > full story
Physicists Tackle Knotty Puzzle (October 8, 2007) -- Electrical cables, garden hoses and strands of holiday lights seem to get themselves hopelessly tangled with no help at all. Now research has resulted in the first model of how knots form. The study ... > full story
Even Without Math, Ancients Engineered Sophisticated Machines (October 4, 2007) -- Move over, Archimedes. A researcher at Harvard University is finding that ancient Greek craftsmen were able to engineer sophisticated machines without necessarily understanding the mathematical ... > full story
Are Women Being Scared Away From Math, Science, And Engineering Fields? (October 3, 2007) -- Have you ever felt outnumbered? Like there are just not that many people like you around? One group that may experience this kind of threat is women who participate in math, science and engineering ... > full story
Synthetic Biology? Memory In Yeast Cells Synthesized (September 17, 2007) -- Researchers have successfully synthesized a DNA-based memory loop in yeast cells, findings that mark a significant step forward in the emerging field of synthetic biology. After constructing genes ... > full story
Mathematics Might Save You A Trip To The ER (September 16, 2007) -- In an effort to better understand seasonality, or cyclic recurrences of disease, researchers have developed mathematical models utilizing daily data to more accurately predict the timing, severity ... > full story
Mathematics Of Ice To Aid Global Warming Forecasts (September 11, 2007) -- Mathematicians have arrived at a new understanding of how salt-saturated ocean water flows through sea ice -- a discovery that promises to improve forecasts of how global warming will affect polar ... > full story
Future Career Path Of Gifted Youth Can Be Predicted By Age 13 By SAT (September 8, 2007) -- The future career path and creative direction of gifted youth can be predicted well by their performance on the SAT at age 13, a new study from Vanderbilt University finds. The study offers insights ... > full story
The Emergence Of A Sense Of Orientation (August 31, 2007) -- Scientists have developed a theoretical model that can explain the emergence of all orientation-specific cells that are known in rats and primates to date. To orient ourselves, we mainly need two ... > full story
Math Model For Circadian Rhythm Created (August 30, 2007) -- The internal clock in living beings that regulates sleeping and waking patterns -- usually called the circadian clock -- has often befuddled scientists due to its mysterious time delays. Molecular ... > full story
Mathematical Methods in the Physical Sciences
Now in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into ... > read more
Mathematics for Finance : An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series)
Designed to form the basis of an undergraduate course in mathematical finance, this book builds on mathematical models of bond and stock prices and covers three major areas of mathematical finance ... > read more
The Road to Reality : A Complete Guide to the Laws of the Universe
If Albert Einstein were alive, he would have a copy of The Road to Reality on his bookshelf. So would Isaac Newton. This may be the most complete mathematical explanation of the universe yet ... > read more
Discrete Mathematics and Its Applications
This text is designed for the sophomore/junior level introduction to discrete mathematics taken by students preparing for future coursework in areas such as math, computer science and engineering. ... > read more
Blueprint Reading For Machine Technology, Fifth Edition
Being able to read and correctly interpret a blueprint is a necessary skill in the industrial world today. Blueprint Reading for the Machine Trades is a workbook that requires your responses. By ... > read more
A Primer Of Ecological Statistics
A Primer of Ecological Statistics explains fundamental material in probability theory and experimental design for ecologists and environmental scientists. The book emphasizes a general introduction ... > read more
Process Control Instrumentation Technology
This manual is designed to provide users with an understanding and appreciation of some of the theoretical concepts behind control system elements and operations, without the need of advanced math ... > read more
Statistical Methods in Bioinformatics : An Introduction (Statistics for Biology and Health)
Advances in computers and biotechnology have had a profound impact on biomedical research, and as a result complex data sets can now be generated to address extremely complex biological questions. ... > read more
Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building
Introduces the philosophy of experimentation and the part that statistics play in experimentation. Emphasizes the need to develop a capability for ``statistical thinking'' by using examples drawn ... > read more
Beginning Algebra (6th Edition)
This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study ... > read more