Exploring Plane Figures

Exploring Plane Figures
Author: Cassie Unswood
Publisher: The Rosen Publishing Group, Inc
Total Pages: 26
Release: 2014-12-15
Genre: Juvenile Nonfiction
ISBN: 1477745955

Working with data is a foundational concept not only for mathematics, but also for understanding the world around us. Readers will gain exposure to principles of measurement, such as perimeter and area, and will also learn how to apply them to math operations. Engaging visuals help make math not only concrete, but also fun. In this book, readers will recognize plane figures in a school setting and learn how to find their area. This volume meets CCSS Math Standard 3.MD.C.5a&b.

Exploring the 3-D World

Exploring the 3-D World
Author: Rosanne Regan Hansel
Publisher: Redleaf Press
Total Pages: 341
Release: 2021-05-25
Genre: Education
ISBN: 1605546933

We live in a three-dimensional world, but many of our learning environments today offer few opportunities for three-dimensional exploration. Spatial reasoning is also integral to everyday life, in social studies, the arts, and geography as well as new careers like computer animation. Navigating the 3-D World will help early childhood teachers feel confident in implementing more mathematical and spatial concepts into their rooms.

Discovering Patterns in Mathematics and Poetry

Discovering Patterns in Mathematics and Poetry
Author: Marcia Birken
Publisher: Rodopi
Total Pages: 213
Release: 2008
Genre: Literary Criticism
ISBN: 9042023708

You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry -- bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression? The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries.Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery.

Seismoelectric Exploration

Seismoelectric Exploration
Author: Niels Grobbe
Publisher: John Wiley & Sons
Total Pages: 496
Release: 2020-10-13
Genre: Science
ISBN: 1119127378

Seismoelectric coupling and its current and potential future applications The seismoelectric method—the naturally-occurring coupling of seismic waves to electromagnetic fields—can provide insight into important properties of porous media. With a variety of potential environmental and engineering uses, as well as larger scale applications such as earthquake detection and oil and gas exploration, it offers a number of advantages over conventional geophysical methods. Seismoelectric Exploration: Theory, Experiments, and Applications explores the coupling between poroelastic and electromagnetic disturbances, discussing laboratory experiments, numerical modeling techniques, recent theoretical developments, and field studies. Volume highlights include: Physics of the seismoelectric effect at the microscale Governing equations describing coupled seismo-electromagnetic fields Examples of successful seismoelectric field experiments in different geological settings Current and potential applications of seismoelectric coupling Noise removal techniques for seismoelectric field measurements The American Geophysical Union promotes discovery in Earth and space science for the benefit of humanity. Its publications disseminate scientific knowledge and provide resources for researchers, students, and professionals.

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration
Author: Torsten Möller
Publisher: Springer Science & Business Media
Total Pages: 348
Release: 2009-06-12
Genre: Computers
ISBN: 3540499261

The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.

Problems in Exploration Seismology and Their Solutions

Problems in Exploration Seismology and Their Solutions
Author: L. P. Geldart
Publisher: SEG Books
Total Pages: 529
Release: 2004
Genre: Science
ISBN: 1560801158

Focusing on the basic theory required to solve practical problems, this book provides 212 problems, and solutions, which cover a wide range of issues, including least-squares methods, choosing velocities for various situations, z-transforms, determining 2D and 3D field geometries, and solving processing and interpretation problems.

The Polarization Method of Seismic Exploration

The Polarization Method of Seismic Exploration
Author: E.I. Galperin
Publisher: Springer Science & Business Media
Total Pages: 281
Release: 2012-12-06
Genre: Science
ISBN: 9400970919

variegated seismological conditions has been accumulated. The method has been developed further in two main directions: - the perfection of the techniques and equipment of three-component field studies incorporating a continuous control of the identity of equipment both in deep boreholes and on the surface; - the creation of efficient and straightforward software for the automatic processing of PM data. Whereas the early stages of development of the method have been conspicuous chiefly by the use of polarization for the discrimination of the wave field, in recent years the emphasis shifts to the use of polarization parameters to obtain additional information about the Earth. This is especially important, as the polarization parameters are very sensitive to inhomogeneities in cross-section and enable those parameters of the Earth to be studies which cannot be obtained from kinematics. Here one should especially mention the polarization of transverse waves, which can act as one of the most reliable parameters for identifying and studying anisotropic properties of the Earth. At present various modifications of PM are being developed applicable both to uphole - (PM RW = reflected waves method, PM CDP = common-depth-point method, PM refracted-wave method, PM of regional studies utilizing earthquakes) and to downhole observations (PM VSP = vertical seismic profiling). Not all the PM modifications are developing at the same rate. The method which has up to now been developed most extenSively is PM VSP.

Acoustic Signal Processing for Ocean Exploration

Acoustic Signal Processing for Ocean Exploration
Author: J.M.F Moura
Publisher: Springer Science & Business Media
Total Pages: 671
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9401116040

Acoustic Signal Processing for Ocean Explortion has two major goals: (i) to present signal processing algorithms that take into account the models of acoustic propagation in the ocean and; (ii) to give a perspective of the broad set of techniques, problems, and applications arising in ocean exploration. The book discusses related issues and problems focused in model based acoustic signal processing methods. Besides addressing the problem of the propagation of acoustics in the ocean, it presents relevant acoustic signal processing methods like matched field processing, array processing, and localization and detection techniques. These more traditional contexts are herein enlarged to include imaging and mapping, and new signal representation models like time/frequency and wavelet transforms. Several applied aspects of these topics, such as the application of acoustics to fisheries, sea floor swath mapping by swath bathymetry and side scan sonar, autonomous underwater vehicles and communications in underwater are also considered.