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Through this post I am going to explain How Linear Regression works? Let us start with what is regression and how it works? Regression is widely used for prediction and forecasting in field of machine learning. Focus of regression is on the relationship between dependent and one or more independent variables. The “depe...
http://www.tatvic.com/blog/linear-regression-using-r/
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Pre-Algebra, Algebra 1, and Algebra 2 all require you to master new math skills. Do you find solving equations and word problems difficult in Algebra class? Are the exponents, proportions, and variables of Algebra keeping you up at night? Intercepts, functions, and expressions can be confusing to most Algebra students,...
http://www.advancedlearners.com/albuquerque/algebra/tutor/find.aspx
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Not Just Black and White Not Just Black and White is a science project that teaches kids about color and light. Different colors will appear when you and your kids view spinning black-and-white circles. What You'll Need: - White paper - Black paper - Black marker - Knitting needle - Paper plate Learn About Not Just Bla...
http://tlc.howstuffworks.com/family/science-projects-for-kids-spectrum-of-colors1.htm
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3.8 Related Rates Two variables, perhaps x and y, are both functions of a third variable, time, t, and x and y are related by an equation. Example A fire has started in a dry, open field and spreads in the form of a circle. The radius of the circle increases at a rate of 6 ft/min. Find the rate at which the fire area i...
http://homepages.ius.edu/MEHRINGE/M215/Fall%2007%20Notesr/Section3.8.htm
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Dec. 8, 2010 Thirteen billion years ago our universe was dark. There were neither stars nor galaxies; there was only hydrogen gas left over after the Big Bang. Eventually that mysterious time came to an end as the first stars ignited and their radiation transformed the nearby gas atoms into ions. This phase of the univ...
http://www.sciencedaily.com/releases/2010/12/101208132210.htm
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Solution to Additional Practice Unit 1: Analyzing Lines on a Graph In the graph below, the straight line S is given by the equation y = c + dx. If the line shifts from this initial position S0 to a new position of what must have changed in the equation? - In this graph, the line has changed in steepness, which means th...
http://cstl.syr.edu/fipse/graphb/unit6/SolnT2Full.html
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ENGLISH AND LANGUAGE ARTS Sixth Graders review parts of speech and verb tenses and write detailed reports and compositions. Grammar emphasis is on clauses, phrases and the formulation of good sentences and paragraphs. Oral presentations of reports and research are given with an artistic component. Students practice len...
http://shiningmountainwaldorf.org/our-program/middle-school/main-lesson-and-subject-classes/
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Here's a very simple GNU Make function: it takes three arguments and makes a 'date' out of them by inserting / between the first and second and second and third arguments: make_date = $1/$2/$3 The first thing to notice is that make_date is defined just like any other GNU Make macro (you must use = and not := for reason...
http://www.agileconnection.com/article/gnu-make-user-defined-functions
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Least common multiple In arithmetic and number theory, the least common multiple (also called the lowest common multiple or smallest common multiple) of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. If either a or b is 0, LCM(a, b) is defined to ...
http://en.wikipedia.org/wiki/Least_common_multiple
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2. Sample Prolog Programs In this chapter we provide several sample Prolog programs. The programs are given in a progression from fairly simple programs to more complex programs. The key goals of the presentation are to show several important methods of knowledge representation in Prolog and the declarative programming...
http://www.csupomona.edu/~jrfisher/www/prolog_tutorial/2.html
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talk about the structure of DNA and RNA Warming up the brain: Nucleic acids are made up of nucleotides, consisting of bases (purines and pyrimidines), as you probably recall from your genetics or cell biology class, sugars (ribose or deoxyribose), and a phosphate backbone. Remember that we have some rules, called "Wats...
http://escience.ws/b572/L1/L1.htm
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Geometry is heavily tested on the GRE Math section, and a thorough review of geometrical concepts is essential to a high score. Consider the following problem: “If the length of an edge of a cube X is twice the length of an edge of cube Y, what is the ratio of the volume of cube Y to the volume of cube X?” The easiest ...
http://www.newgre.org/preparation/sample-math-problem-hip-square-or-cube/
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Smooth muscle is responsible for the contractility of hollow organs, such as blood vessels, the gastrointestinal tract, the bladder, or the uterus. Its structure differs greatly from that of skeletal muscle, although it can develop isometric force per cross-sectional area that is equal to that of skeletal muscle. Howev...
http://www.uic.edu/classes/phyb/phyb516/smoothmuscleu3.htm
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Knowing how and where birds migrate and breed is an important part of understanding how and why their numbers increase or decrease over time. However, we don't know much about the exact migratory patterns of most birds. After all, they are one of the most itinerant animals on earth, coming and going from one place to a...
http://nationalzoo.si.edu/scbi/migratorybirds/science_article/default.cfm?id=137
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This figure from NASA's Dawn mission shows the varied minerals on the surface of the giant asteroid Vesta in false color. The colors, derived from data obtained by Dawn's visible and infrared mapping spectrometer, have been chosen to emphasize mineral differences on a half-mile (kilometer) scale. Data from the spectrom...
http://photojournal.jpl.nasa.gov/catalog/PIA15671
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Arithmetic coding actually refers to half of an Arithmetic Coding data compression system. It has two parts: - An arithmetic coder - A data model (e.g., Markovian model) - There is a new data character (a fixed number of bits per character) - There is a set of probabilities for each possible character The larger the ra...
http://www.encyclopedia4u.com/a/arithmetic-coding.html
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August 30 - By observing the collision of two distant galaxies, scientists say that they now have direct evidence of dark matter's existence. For decades scientists have proposed the existence of dark matter as an explanation for how galaxies rotate at their observed velocities. Dark matter emits no light and can only ...
http://www.nationalacademies.org/printer/headlines/20060830.html
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Language is a means of communication. By using a language people can communicate with each other. Using a language is not as simply as we thought because there is a set of rules that must be followed, which is called Grammar. Actually grammar is used to mean the structure of a language. It is an essential part of the u...
http://cupep.blogspot.com/2010/01/skripsi-analysis-of-grammatical-error.html
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Topics covered: Exceptions to Lewis structure rules; Ionic bonds Instructor: Catherine Drennan, Elizabeth Vogel Taylor Lecture Notes (PDF - 1.1MB) The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. ...
http://ocw.mit.edu/courses/chemistry/5-111-principles-of-chemical-science-fall-2008/video-lectures/lecture-12/
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CHALCOLITHIC ERA in Persia. Chalcolithic (< Gk. khalkos “copper” + lithos “stone”) is a term adopted for the Near East early in this century as part of an attempt to refine the framework of cultural developmental “stages” (Paleolithic, Mesolithic, Neolithic, Bronze, and Iron Ages) and used by students of western Europe...
http://www.iranicaonline.org/articles/chalcolithic-era-in-persia
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simple machineArticle Free Pass simple machine, any of several devices with few or no moving parts that are used to modify motion and force in order to perform work. The simple machines are the inclined plane, lever, wedge, wheel and axle, pulley, and screw. The inclined plane An inclined plane consists of a sloping su...
http://www.britannica.com/EBchecked/topic/1194584/simple-machine
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Traditional methods of food drying is to spread the foodstuffs to place the foodstuffs in the sun in the open air. This method, called sun drying, is effective for small amounts of food. The area needed for sun drying expands with food quantity and since the food is placed in the open air, it is easily contaminated. Th...
http://climatetechwiki.org/print/technology/jiqweb-edf
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How far have these students walked by the time the teacher's car reaches them after their bus broke down? Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage. Position the lines so that they ar...
http://nrich.maths.org/public/leg.php?code=68&cl=3&cldcmpid=4954
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7. Ratio and Proportion We need to be a bit careful because lots of people use the words "ratio", "fraction" and "proportion" to mean the same thing in everyday speech. This makes it difficult when we meet the terms in mathematics, because they are not necessarily used to mean the same thing. Ratios and Fractions Ethan...
http://www.intmath.com/numbers/7-ratio-proportion.php
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Winning Lesson Plans these science lesson plans submitted by teachers for Science WoRx contests. Building Working Models of the Human Heart In this activity by David Brock, students design and build functioning artificial "hearts" to study and to demonstrate their knowledge of the circulatory system. The Cell as a Syst...
http://www.scienceworx.org/Resources.aspx
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||It has been suggested that Combining dimensions be merged into this article. (Discuss) Proposed since August 2012.| ||This article needs attention from an expert in Mathematics. (February 2013)| In mathematics, a projection is a mapping of a set (or other mathematical structure) into a subset (or sub-structure), whic...
http://en.wikipedia.org/wiki/Projection_(mathematics)
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A & P Study Guide Exam # 2 Chapter 6 – Skeletal System Skeleton: Overview (p. 79) at least five functions of the skeleton. a classification of bones based on their shapes. the anatomy of a long bone. the growth and development of bones. and describe eight types of fractures, and state the four steps in Axial Skeleton (...
http://www2.thomas.edu/faculty/hansenj/sc321/Study2.htm
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Highlights DNA Replication (continued) 1. Replication of linear eukaryotic chromosomes is more complex than replicating the circles of prokaryotic cells. During each round of eukaryotic DNA replication, a small portion of the DNA at the end of the chromosome (known as a telomer) is lost. Telomers have thousands of copi...
http://oregonstate.edu/instruction/bb350/spring12/highlightstranscription.html
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In Kepler, NASA has an exoplanet hunter. In the Curiosity rover, the space agency has finely tuned mechanism for tracking down geological signs of past life on Mars. It even has an asteroid hunter capable of chasing down hurtling chunks of rock from millions of miles away. Now, NASA wants a comet hunter. Literally. In ...
http://www.popsci.com/technology/article/2011-12/hunt-comets-nasa-building-giant-harpoon
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In the preceding posts, I mentioned infinite products as approximations for π. These may be seen geometrically as exhaustion methods, where the area of a polygon approaches the circular area alternately from above, from below, from above, from below, etc. There are also integral representations of pi. In such integral ...
http://commonsensequantum.blogspot.com/2010/04/keeping-track-of-circle-for-integral.html
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LCROSS Finds Water on the Moon November 13, 2009: The argument that the Moon is a dry, desolate place no longer holds water. At a press conference today, researchers revealed preliminary data from NASA's Lunar Crater Observation and Sensing Satellite, or LCROSS, indicating that water exists in a permanently shadowed lu...
http://science.nasa.gov/science-news/science-at-nasa/2009/13nov_lcrossresults/
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Fallacies are defects in an argument other than false premises which cause an argument to be invalid, unsound or weak. Fallacies can be separated into two general groups: formal and informal. A formal fallacy is a defect which can be identified merely be looking at the logical structure of an argument rather than any s...
http://atheism.about.com/od/logicalarguments/a/fallacy.htm
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Evidence of String Theory: Gamma Ray Bursts Among the various phenomena in the universe, two types produce large amounts of energy and may provide some insight into string theory: gamma ray bursts (GRBs) and cosmic rays. Exactly what causes a gamma ray burst is disputed, but it seems to happen when massive objects, suc...
http://www.dummies.com/how-to/content/evidence-of-string-theory-gamma-ray-bursts.html
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Copyright © Peter Wakefield Sault 2003-2005 All rights reserved worldwide The shape of the Earth is an oblate spheroid, which for most practical purposes can be approximated as an ellipsoid. Due to the Earth's spin it is wider across the Equator than across the Poles, the difference in diameters amounting to some 27 mi...
http://www.odeion.org/atlantis/appendix-d.html
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In geometry, a surface S is ruled (also called a scroll) if through every point of S there is a straight line that lies on S. The most familiar examples are the plane and the curved surface of a cylinder or cone. Other examples are a conical surface with elliptical directrix, the right conoid, the helicoid, and the tan...
http://en.wikipedia.org/wiki/Ruled_surface
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Table of contents The specific three dimensional arrangement of atoms in molecules is referred to as molecular geometry. We also define molecular geometry as the positions of the atomic nuclei in a molecule. There are various instrumental techniques such as X-Ray crystallography and other experimental techniques which ...
http://chemwiki.ucdavis.edu/index.php?title=Inorganic_Chemistry/Molecular_Geometry&bc=0
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Mother Nature provided a surprise light show over Russia early on February 14. That’s when a major meteor entered Earth’s atmosphere. The object was originally 17 meters (55 feet) in diameter. That’s as wide as a 5-story building is high. It had also weighed a whopping 10,000 metric tons, according to the National Aero...
http://www.sciencenewsforkids.org/2013/02/meteor-explodes-over-russia/
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Video 1. Statistics As Problem Solving Consider statistics as a problem-solving process and examine its four components: asking questions, collecting appropriate data, analyzing the data, and interpreting the results. This session investigates the nature of data and its potential sources of variation. Variables, bias, ...
http://www.learner.org/resources/series158.html
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communities and governments that work for and support human rights for children provide ethnic and national knowledge and roots for their children. They name their children, and help them acquire a sense of belonging in their family, nation, and world. Through this belonging, their children become invested in the posit...
http://www1.umn.edu/humanrts/edumat/hreduseries/rrr/sess4.html
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COMMON AMATEUR ASTRONOMY TERMS The user is assisted in exploiting the formulas found in this book through usage notes, definitions, and examples provided throughout the Astro Functions and Methods. This sheet lists some common terms and concepts used throughout the work. · UT is Universal Time, which is the standard ti...
http://www.pietro.org/Astro_Util_StaticDemo/CommonAstronomyTerms.htm
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|This is the print version of Geometry You won't see this message or any elements not part of the book's content when you print or preview this page. Part I- Euclidean Geometry Chapter 1: Points, Lines, Line Segments and Rays Points and lines are two of the most fundamental concepts in Geometry, but they are also the m...
http://en.m.wikibooks.org/wiki/Geometry/Print_version
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A theorem generally has a set-up - a number of conditions, which may be listed in the theorem or described beforehand. Then it has a conclusion - a mathematical statement which is true under the given set up. The proof, though necessary to the statement's classification as a theorem is not considered part of the theore...
http://www.encyclopedia4u.com/t/theorem.html
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The Origin of Asteroidsby Dr. Walt Brown (This article has been reproduced with permission from the Center for Scientific Creation. The original article can be found here.) NOTE - In order to fully understand the content of this article (and it’s companion article The Origin of Comets), you should read the book, In the...
http://4thdayalliance.com/articles/solar-system/origin-of-asteroids/
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Applying Doppler Effect to Moving Galaxies Overview: Students make the observation that farther galaxies move away faster, and check that a model of an expanding universe makes predictions that match with those observations. Physical resources: Expanding universe model Electronic resources: Virtual spectroscopy Observa...
http://ocw.mit.edu/high-school/courses/chandra-astrophysics-institute/investigations/investigation-6/activity-3/
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GMAT Coordinate Geometry August 1, 2012 The key to many GMAT coordinate geometry questions is to remember that coordinate geometry is just another way of expressing the possible solutions to a two variable equation. Each point on the line in a coordinate plane corresponds to a solution for the equation of that line. Th...
http://blog.kaplangmat.com/2012/08/01/gmat-coordinate-geometry/
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Reduplication is used in inflections to convey a grammatical function, such as plurality, intensification, etc., and in lexical derivation to create new words. It is often used when a speaker adopts a tone more "expressive" or figurative than ordinary speech and is also often, but not exclusively, iconic in meaning. Re...
http://en.wikipedia.org/wiki/Reduplication
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The Digestive System - Design: parts of the digestive system The digestive system may be broken into two parts: a long, winding, muscular tube accompanied by accessory digestive organs and glands. That open-ended tube, known as the alimentary canal or digestive tract, is composed of various organs. These organs are, in...
http://www.faqs.org/health/Body-by-Design-V1/The-Digestive-System-Design-parts-of-the-digestive-system.html
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The following HTML text is provided to enhance online readability. Many aspects of typography translate only awkwardly to HTML. Please use the page image as the authoritative form to ensure accuracy. Adding + It Up: Helping Children Learn Mathematics teachers should know. Many of these ideas are treated in more detail ...
http://www.nap.edu/openbook.php?record_id=9822&page=72
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Greening of the Red Planet |Tweet|Greening of the Red Planet A hardy microbe from Earth might one day transform the barren ground of Mars into arable soil. January 26, 2001 -- Although Mars may once have been warm and wet, the Red Planet today is a frozen wasteland. Most scientists agree, it's highly unlikely that any ...
http://science1.nasa.gov/science-news/science-at-nasa/2001/ast26jan_1/
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The graph of a quadratic function of the form f(x) = a x 2 + b x + c is a parabola Properties of Graphs of Quadratic Functions. a) If a > 0, the parabola opens upward; if a < 0, the parabola opens downward. b) As | a| increases, the parabola becomes narrower; as | a| decreases, the parabola becomes wider. c) The lowest...
http://www.emathematics.net/parabola.php
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Mathematics » High School: Geometry » Similarity, Right Triangles, & Trigonometry Standards in this domain: Understand similarity in terms of similarity transformations - CCSS.Math.Content.HSG-SRT.A.1 Verify experimentally the properties of dilations given by a center and a scale factor: - CCSS.Math.Content.HSG-SRT.A.1...
http://www.corestandards.org/Math/Content/HSG/SRT
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Exoplanet CoRoT-7b is five times heavier than the Earth Even in ancient times, people observed the planets that orbit our Sun. (See also the astronomy question from week 1: Why are there seven days in a week?) Nowadays we know that there are many trillions of other stars in the Universe, in addition to the Sun. It seem...
http://www.dlr.de/en/desktopdefault.aspx/tabid-5170/8702_read-20367/usetemplate-print/
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A circle is a simple shape of Euclidean geometry consisting of the set of points in a plane that is a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius. Circles are simple closed curves which divide the plane into two regions: an interior and an ex...
http://www.mathguru.com/level2/areas-related-to-circles-2009110500046093.aspx
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Want to stay on top of all the space news? Follow @universetoday on Twitter Dust is everywhere in space, but the pervasive stuff is one thing astronomers know little about. Cosmic dust is also elusive, as it lasts only about 10,000 years, a brief period in the life of a star. “We not only do not know what the stuff is,...
http://www.universetoday.com/24699/astronomers-find-cosmic-dust-fountain/
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- High School - Number & Quantity - Statistics & Probability - Language Arts - Social Studies - Art & Music - World Languages - Your Life - Experiment With Transformations In The Plane G.CO.1Know precise definitions of angle, c...more Know precise definitions of angle, circle, perpendicular line, parallel line, and lin...
http://powermylearning.com/zh-hans/directory/math/high-school/geometry/congruence
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Novell's Networking Primer Although we routinely use the terms "data" and "information" interchangeably, they are not technically the same thing. Computer data is a series of electrical charges arranged in patterns to represent information. In other words, the term "data" refers to the form of the information (the elec...
http://www.novell.com/info/primer/prim05.html
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© NASA/Zuber, M.T. et al., Nature, 2012 Elevation (left) and shaded relief (right) image of Shackleton, a 21-km-diameter (12.5-mile-diameter) permanently shadowed crater adjacent to the lunar south pole. The structure of the crater's interior was revealed by a digital elevation model constructed from over 5 million ele...
http://www.sott.net/article/246974-NASA-finds-major-ice-source-in-Moon-crater
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In computer science and technology, a database cursor is a control structure that enables traversal over the records in a database. Cursors facilitate subsequent processing in conjunction with the traversal, such as retrieval, addition and removal of database records. The database cursor characteristic of traversal mak...
http://en.wikipedia.org/wiki/Cursor_(databases)
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Just because harmonics is becoming a more prevalent problem, that doesn't mean the subject is getting any easier to understand Harmonics are AC voltages and currents with frequencies that are integer multiples of the fundamental frequency. On a 60-Hz system, this could include 2nd order harmonics (120 Hz), 3rd order ha...
http://ecmweb.com/print/archive/harmonics-made-simple
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In meteorology, precipitation (also known as one of the classes of hydrometeors, which are atmospheric water phenomena) is any product of the condensation of atmospheric water vapour that falls under gravity. The main forms of precipitation include drizzle, rain, sleet, snow, graupel and hail. Precipitation occurs when...
http://en.wikipedia.org/wiki/Precipitation_(meteorology)
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New Earth-like planets: How did astronomers find them? NASA's Kepler spacecraft has spotted a pair of rocky Earth-sized planets orbiting a distant star. How do you find a new planet? Since 2009, NASA's Kepler spacecraft has been sitting in space, pointing its telescope at a patch of the sky near the constellations Cygn...
http://www.csmonitor.com/Science/2011/1221/New-Earth-like-planets-How-did-astronomers-find-them
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Science Fair Project Encyclopedia A space rendezvous between two spacecraft, often between a spacecraft and a space station, is an orbital maneuver where the two arrive at the same orbit, make the orbital velocities the same, and bring them together (an approach maneuver, taxiing maneuver); it may or may not include do...
http://www.all-science-fair-projects.com/science_fair_projects_encyclopedia/Docking_maneuver
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Absorption is the process whereby toxicants gain entrance to the body. Ingested and inhaled materials, nonetheless, are considered outside the body until they cross the cellular barriers of the gastrointestinal tract or the respiratory system. To exert an effect on internal organs a toxicant must be absorbed, although ...
http://www.eoearth.org/article/Absorption_of_toxicants
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Math in Music Lesson Plan MEDIA RESOURCES FROM THE GET THE MATH WEBSITE - The Setup (video) Optional An introduction to Get the Math and the professionals and student teams featured in the program. - Math in Music: Introduction (video) Manny Dominguez and Luis Lopez of DobleFlo talk about how their duo got started, how...
http://www.thirteen.org/get-the-math/teachers/math-in-music-lesson-plan/activities/76/
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Selection bias is a statistical bias in which there is an error in choosing the individuals or groups to take part in a scientific study. It is sometimes referred to as the selection effect. The phrase "selection bias" most often refers to the distortion of a statistical analysis, resulting from the method of collectin...
http://en.wikipedia.org/wiki/Selection_bias
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This article describes the formula syntax and usage of the CONCATENATE function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations...
http://office.microsoft.com/en-us/excel-help/concatenate-function-HP010062562.aspx?CTT=5&origin=HA010248390
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Initializing a variable is considered very helpful while making programs. We can initialize variables of primitive types at the time of their declarations. For example: int a = 10; In Object Oriented Programming language (OOPL) like Java, the need of initialization of fields of a new object is even more common. We have...
http://ecomputernotes.com/java/what-is-java/what-is-java-constructor-type-of-constructor
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Math with manipulatives: Preschool number activities designed to foster your child’s number sense © 2008 -2013 Gwen Dewar, Ph.D., all rights reserved Never mind the talking toys and fancy video games. These preschool number activities require only a dose of imagination and a few household supplies. Discoveries in cogni...
http://www.parentingscience.com/preschool-number-activities.html
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Gorilla Black Hole in the Mist This false-color image from NASA's Spitzer Space Telescope shows a distant galaxy (yellow) that houses a quasar, a super-massive black hole circled by a ring, or torus, of gas and dust. Spitzer's infrared eyes cut through the dust to find this hidden object, which appears to be a member o...
http://www.spitzer.caltech.edu/images/1462-ssc2005-17a-Gorilla-Black-Hole-in-the-Mist
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Mercury may have harbored an ancient magma ocean Massive lava flows may have given rise to two distinct rock types on Mercury’s surface. February 22, 2013 By analyzing Mercury’s rocky surface, scientists have been able to partially reconstruct the planet’s history over billions of years. Now, drawing upon the chemical ...
http://www.astronomy.com/~/link.aspx?_id=12b282fd-3b4d-4ba8-9db0-7ad1bc4aff4c
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2.1 The Strength of Gravity and Electric Forces Gravity is a relatively very weak force. The electric Coulomb force between a proton and an electron is of the order of 1039 (that’s 1 with 39 zeros after it) times stronger than the gravitational force between them. We can get a hint of the relative strength of electroma...
http://www.thunderbolts.info/wp/2011/10/17/essential-guide-to-the-eu-chapter-2/
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Fourier analysis is named after Jean Baptiste Joseph Fourier (1768-1830), a French mathematician and physicist. (Fourier is pronounced: , and is always capitalized). While many contributed to the field, Fourier is honored for his mathematical discoveries and insight into the practical usefulness of the techniques. Four...
http://www.dspguide.com/ch8/1.htm
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The Rate Law When studying a chemical reaction, it is important to consider not only the chemical properties of the reactants, but also the conditions under which the reaction occurs, the mechanism by which it takes place, the rate at which it occurs, and the equilibrium toward which it proceeds. According to the law o...
http://chemwiki.ucdavis.edu/index.php?title=Physical_Chemistry/Kinetics/Rate_Laws/The_Rate_Law&bc=0
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Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make? A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter. Euler discussed whether or not it was possib...
http://nrich.maths.org/public/leg.php?code=71&cl=3&cldcmpid=4928
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The science of eclipses Did you know that the ancient Greeks were able to work out the diameter of the Earth using data from lunar eclipses? The study of Earth's shadow projected on the Moon allows us to deduce that Earth is spherical. The ancient Greeks worked this out. Using lunar eclipse timing, as far back as the t...
http://www.esa.int/Our_Activities/Space_Science/The_science_of_eclipses/(print)
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Speed of gravity Isaac Newton's mechanical systems included the concept of a force that operated between two objects, gravity. The quantity of force was dependent on the masses of the two objects, with more massive objects exerting more force. This led to a problem: it seemed that each object had to "know" about the ot...
http://www.exampleproblems.com/wiki/index.php/Speed_of_gravity
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An Introduction to MATLAB: Basic Operations MATLAB is a programming language that is very useful for numerical simulation and data analysis. The following tutorials are intended to give you an introduction to scientific computing in MATLAB. Lots of MATLAB demos are available online at You can work through these at your...
http://web.uvic.ca/~monahana/eos225/matlab_tutorial/tutorial_1/introduction_to_matlab.html
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||This article needs additional citations for verification. (February 2010)| In mechanical engineering, backlash is the striking back of connected wheels in a piece of mechanism when pressure is applied. Another source defines it as the maximum distance through which one part of something can be moved without moving a ...
http://en.wikipedia.org/wiki/Backlash_(engineering)
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The Big Bang The Big Bang theory states that the universe arose from a singularity of virtually no size, which gave rise to the dimensions of space and time, in addition to all matter and energy. At the beginning of the Big Bang, the four fundamental forces began to separate from each other. Early in its history (10-36...
http://reasonablekansans.blogspot.com/2010/08/fine-tuning-of-universe.html
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A line is a shortest path between the two points that is straight, infinitely long and thin. In the coordinate plane, the location of a line is defined by the points whose coordinates are known and through which the line passes to an infinitely long distance in both the direction. There are no end points in case of lin...
http://www.tutorcircle.com/line-t3Ijp.html
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Area And Perimeter Powerpoint PPT Therefore, Family A has the pool with the bigger swimming area. The perimeter of Family A’s pool is 12 units long. ... PowerPoint Presentation Author: Dr. Beth McCulloch Vinson Last modified by: Bill Ide Created Date: 7/1/2000 5:08:39 PM Area and Perimeter By Christine Berg Edited by V...
http://freepdfdb.com/ppt/area-and-perimeter-powerpoint
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SOURCES OF GAMMA RAYS Brighter colors in the Cygus region indicate greater numbers of gamma rays detected by the Fermi gamma-ray space telescope. Credit: NASA/DOE/International LAT Team Gamma rays have the smallest wavelengths and the most energy of any wave in the electromagnetic spectrum. They are produced by the hot...
http://missionscience.nasa.gov/ems/12_gammarays.html
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Mercury's prime meridian, or 0° longitude, crosses through the left side of this image. The prime meridian was defined as the longitude where the Sun was directly overhead as Mercury passed through its first perihelion in the year 1950. The area was first seen by a spacecraft during MESSENGER's second Mercury flyby and...
http://photojournal.jpl.nasa.gov/catalog/PIA14197
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A major advantage of positional numeral systemss over other systems of writing down numbers is that they facilitate the usual grade-school method of long multiplication: multiply the first number with every digit of the second number and then add up all the properly shifted results. In order to perform this algorithm, ...
http://www.fact-index.com/m/mu/multiplication_algorithm.html
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Article Summary: These are all good tips for developing a plan of attack in math problem solving. If you use these 20 tips as basis for developing your own problem solving technique you will be successful. Most students use the tips described above, use them for a few problems, and then adapt them to fit their style of...
http://www.mathworksheetscenter.com/mathtips/goodproblemsolvers.html
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Learn something new every day More Info... by email A Boolean array in computer programming is a sequence of values that can only hold the values of true or false. By definition, a Boolean can only be true or false and is unable to hold any other intermediary value. An array is a sequence of data types that occupy nume...
http://www.wisegeek.com/what-is-a-boolean-array.htm
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This interactive activity for grades 8-12 features eight models that explore atomic arrangements for gases, solids, and liquids. Highlight an atom and view its trajectory to see how the motion differs in each of the three primary phases. As the lesson progresses, students observe and manipulate differences in attractio...
http://www.compadre.org/portal/items/detail.cfm?ID=11191
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In this example, a rational function with one vertical asymptote greater than zero is graphed. Review of graps of rational functions: A rational function can be written as the ratio of two functions, f(x) and g(x). Rational functions are usually written in this form: y = f(x)/g(x) Since division by zero is undefined, t...
http://media4math.com/Examples/GraphingRationalFunctions/GraphingRationalFunctions8.html
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July 21, 2004 Using ESA’s Integral and XMM-Newton observatories, an international team of astronomers has found more evidence that massive black holes are surrounded by a doughnut-shaped gas cloud, called a torus. Depending on our line of sight, the torus can block the view of the black hole in the centre. The team loo...
http://www.sciencedaily.com/releases/2004/07/040721085717.htm
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Want to stay on top of all the space news? Follow @universetoday on Twitter It is well documented that dark matter makes up the majority of the mass in our universe. The big problem comes when trying to prove dark matter really is out there. It is dark, and therefore cannot be seen. Dark matter may come in many shapes ...
http://www.universetoday.com/12939/record-breaking-dark-matter-web-structure-observed-spanning-270-million-light-years/
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|Solving Multi-Step Linear Equations In this lesson, we are going to look at a few worked examples while putting emphasis on the key steps in solving multi-step equations. You will have the opportunity to practice on your own by trying some problems and compare your answers to the solutions provided. If you just want t...
http://chilimath.com/algebra/intermediate/linear_equations/revisited/linear_multistep1.html
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How to Find the Centroid of a Triangle The three medians of a triangle intersect at its centroid. The centroid is the triangle’s balance point, or center of gravity. (In other words, if you made the triangle out of cardboard, and put its centroid on your finger, it would balance.) On each median, the distance from the ...
http://www.dummies.com/how-to/content/how-to-find-the-centroid-of-a-triangle.html
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According to our best models for the formation of the Solar System, comets and meteorites bombarded the planets in their early days. This bombardment brought water to Earth, Mars, and the other terrestrial worlds. But Mercury is an airless body and is much closer to the Sun, so its daytime surface temperature reaches 4...
http://arstechnica.com/science/2012/11/craters-on-mercury-are-oases-for-water-ice-organic-molecules/
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Compounding Functions and Graphing Functions of Functions - 0:06 Functions - 0:58 Composite Functions - 4:01 Domain and Range of Composite… - 7:06 Lesson Summary Did You Know… This lesson is part of a free course that leads to real college credit accepted by 2,900 colleges. We know that functions map numbers to other n...
http://education-portal.com/academy/lesson/compounding-functions-and-graphing-functions-of-functions.html
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In calculus, an antiderivative or primitive function of a given real valued function f is a function F whose derivative is equal to f, i.e. F ' = f. The process of finding antiderivatives is antidifferentiation (or indefinite integration). For example: F(x) = x³ / 3 is an antiderivative of f(x) = x². As the derivative ...
http://www.encyclopedia4u.com/a/antiderivative.html
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An ice core is a core sample that is typically removed from an ice sheet, most commonly from the polar ice caps of Antarctica, Greenland or from high mountain glaciers elsewhere. As the ice forms from the incremental build up of annual layers of snow, lower layers are older than upper, and an ice core contains ice form...
http://en.wikipedia.org/wiki/Ice_core
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In electronics or EET, a voltage divider (also known as a potential divider) is a linear circuit that produces an output voltage (Vout) that is a fraction of its input voltage (Vin). Voltage division refers to the partitioning of a voltage among the components of the divider. An example of a voltage divider consists of...
http://en.wikipedia.org/wiki/Voltage_divider
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In a new finding that could have game-changing effects if borne out, two astrophysicists think they've finally tracked down the elusive signature of dark matter. This invisible substance is thought to make up much of the universe but scientists have little idea what it is. They can only infer the existence of dark matt...
http://www.nbcnews.com/id/39874873/ns/technology_and_science-space/t/has-dark-matter-finally-been-seen/
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Teaching Plan 3 Explore the Circumcenter of a Triangle This lesson plan is to introduce the concepts of circumcenter by using computers with sketchpad software to explore. Students are able to observe and explore possible results (images) through computers by carrying out their ideas in front of screens. IL Learning St...
http://mste.illinois.edu/courses/ci499sp01/students/ychen17/project336/teachplan3.html
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Nova was a high-power laser built at the Lawrence Livermore National Laboratory (LLNL) in 1984 which conducted advanced inertial confinement fusion (ICF) experiments until its dismantling in 1999. Nova was the first ICF experiment built with the intention of reaching "ignition", a chain reaction of nuclear fusion that ...
http://en.wikipedia.org/wiki/Nova_(laser)
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Extracted Chemistry Physics Asronomy Math and Logic portions from the original.

Script used for the extraction:

https://huggingface.co/datasets/Josephgflowers/Par-Four-Fineweb-Edu-Fortified-Chemistry-Physics-Astronomy-Math-Reason/resolve/main/find-science-fine.py

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