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Topic: Base (mathematics)

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In the News (Fri 18 Jan 19)

  base (mathematics) - Hutchinson encyclopedia article about base (mathematics)
For example, the logarithm of 100 to the base ten is 2.
For bases beyond 10, the denary numbers 10, 11, 12, and so on must be replaced by a single digit.
Thus in base 16, all numbers up to 15 must be represented by single-digit ‘numbers’, since 10 in hexadecimal would mean 16 in decimal.
encyclopedia.farlex.com /base+(mathematics)   (317 words)

 Base (mathematics) - Wikipedia, the free encyclopedia
In mathematics, the base or radix is the number of various unique symbols (digits), including zero, that a positional numeral system uses to represent numbers in a given counting system.
For example, the decimal system, the most common system in use today, uses base ten, hence the maximum number a single digit will ever reach is 9, after this it is necessary to add another digit to achieve a higher number.
When describing radix in mathematical notation, the letter b is generally used as a symbol for this concept, so, for a binary system, b equals 2.
en.wikipedia.org /wiki/Radix   (1004 words)

 AllRefer.com - numeration (Mathematics) - Encyclopedia
In any place value system of numeration, a base number must be specified, and groupings are then made by powers of the base number.
The position of a numeral in a grouping indicates which power of the base it is to be multiplied by.
The binary system uses base 2 and is important because of its application to modern computers.
reference.allrefer.com /encyclopedia/N/numerati.html   (430 words)

 MSN Encarta - Search Results - base
Acids and Bases, two classes of chemical compounds that display generally opposite characteristics.
Base (mathematics), the number of different single-digit symbols used in a particular number system.
Write "6 to the x power" with an exponent.In this expression, 6 is the base and x is the exponent.
ca.encarta.msn.com /base.html   (146 words)

 [No title]
Mathematics and Science science reform efforts, and the higher academic standards included in those efforts, require far-reaching and difficult changes in the practice of teaching mathematics and science.
Despite increasing enrollment in higher level mathematics and science courses, the Miami-Dade student population as a whole is performing below the state average on the FCAT and below the national median in mathematics and science as measured by the Stanford-8, except in elementary mathematics.
Student performance in mathematics, as measured through the FCAT grade 10, in 1999, showed that 38% of the student standard curriculum population of Miami-Dade County Public Schools scored at the lowest level, level I. This level indicates little success with the challenging content of the Sunshine State Standards.
www.dade.k12.fl.us /9628/Bridgestocareer.doc   (20352 words)

 Maya mathematics
(Base 20 is vigesimal.) They also used a system of bar and dot as "shorthand" for counting.
Because the base of the number system was 20, larger numbers were written down in powers of 20.
Base twenty was also used in their calendar, which is a major portion of these pages because calendars are developed by astronomers for keeping track of time.
www.michielb.nl /maya/math.html   (308 words)

 Mayan mathematics
We do not know the date of these mathematical achievements but it seems certain that when the system was devised it contained features which were more advanced than any other in the world at the time.
In fact it is worth noting that although the system is base 20 it only has three number symbols (perhaps the unit symbol arising from a pebble and the line symbol from a stick used in counting).
The Long Count is based on a year of 360 days, or perhaps it is more accurate to say that it is just a count of days with then numbers represented in the Mayan number system.
www-groups.dcs.st-and.ac.uk /~history/HistTopics/Mayan_mathematics.html   (2414 words)

 Early Childhood Mathematics
In mathematics as in literacy, children who live in poverty and who are members of linguistic and ethnic minority groups demonstrate significantly lower levels of achievement [14-17].
In the key areas of mathematics, researchers have at least begun to map out trajectories or paths of learning--that is, the sequence in which young children develop mathematical understanding and skills [21, 58, 59].
For example, there are books with mathematical concepts in the reading corner, and clipboards and wall charts are placed where children are engaged in science observation and recording (e.g., measuring and charting the weekly growth of plants) [65, 66, 68-71].
www.naeyc.org /about/positions/psmath.asp   (8295 words)

 A BASE Mathematics Project
Participants of the January Seminar (encompassing representative mathematics faculty from the junior high through college/university levels, articulation officers, and administrators) were divided into groups based on county affiliation.
A major outcome of the September Workshop series, participating mathematics faculty developed an agreed-upon common set of concepts that students have the most difficulty learning and a set of concepts which students should know prior to entering each of the targeted algebra courses.
Algebra instructors who attended the workshop identified mathematical concepts that students should have learned prior to entering their respective level of algebra as well as those algebraic concepts that students in their respective level had the most difficulty in learning.
www.sjdccd.cc.ca.us /org/heccc/FACULTY2FACULTY/abasepro.html   (980 words)

 On-line Mathematics Dictionary
The intersection of an altitude of a triangle with the base to which it is drawn.
In particular, for a cone or pyramid, a frustum is determined by the plane of the base and a plane parallel to the base.
The branch of mathematics that deals with the nature of space and the size, shape, and other properties of figures as well as the transformations that preserve these properties.
www.mathpropress.com /glossary/glossary.html   (4700 words)

 Babylonian Mathematics
Both civilizations developed mathematics that was similar in some ways but also very different in others.
Because of the large base, multiplication was carried out with the aide of a table.
The altitude of an isosceles triangle bisects the base.
www.math.tamu.edu /~don.allen/history/babylon/babylon.html   (935 words)

 Babylonian mathematics
However the Babylonian civilisation, whose mathematics is the subject of this article, replaced that of the Sumerians from around 2000 BC The Babylonians were a Semitic people who invaded Mesopotamia defeating the Sumerians and by about 1900 BC establishing their capital at Babylon.
It was a positional system with a base of 60 rather than the system with base 10 in widespread use today.
In our article on Pythagoras's theorem in Babylonian mathematics we examine some of their geometrical ideas and also some basic ideas in number theory.
www-groups.dcs.st-andrews.ac.uk /~history/HistTopics/Babylonian_mathematics.html   (1607 words)

 On-Line Resources For Mathematics In The Scientific Virtual Reference Desk
Mathematics is not a mere collections of facts or coincidences [2] nor a set of abstract formulas invented for the sole pleasure of the intellect.
Mathematics is a unique discipline which implicitly comprises its own logic and which carries with it a certainty of substance absent in other areas of study.
It is the classification instrument par excellence also with respect to encyclopaedic works such as the Encyclopaedia of Mathematics [3], seminal work born on the shores of the Moscova and now developed on ancient ferries under the guidance of M. Hazewinkel [4].
library.cern.ch /HEPLW/3/papers/4   (4222 words)

 Chemistry: Acids and Bases
This is because the conjugate base of a strong acid is very weak and cannot undergo hydrolysis.
An acid-base titration is when you add a base to an acid until the equivalence point is reached which is where the moles of acid equals the moles of base.
For the titration of a strong base with a weak acid, the equivalence point is reached when the pH is greater than seven (7).
www.shodor.org /unchem/basic/ab   (1233 words)

 History of Mathematics - The First Mathematicians
The first mathematics can be traced to the ancient country of Babylon and to Egypt during the 3rd millennium BC.
Large numbers and fractions could be represented and formed the basis of advanced mathematical evolution.
As stated previously, they used a base 60 system, which has ten proper divisors, instead of our current system, base 10 with only two proper divisors.
members.aol.com /bbyars1/first.html   (673 words)

 ScienceDaily: Base mathematics   (Site not responding. Last check: 2007-10-29)
Look for Base mathematics in Wiktionary, our sister dictionary project.
Look for Base mathematics in the Commons, our repository for free images, music, sound, and video.
Check for Base mathematics in the deletion log, or visit its deletion vote page if it exists.
www.sciencedaily.com /encyclopedia/base__mathematics_   (892 words)

 Binary, Octal, Hexadecimal Systems, Base Convertion
It was easier and more natural to write a generic base converter than doing anything special for the binary system.
Please note that the number of digits in any base (radix) N is exactly the same number N. For example, in the binary (N = 2) system there are two digits: 0 and 1; in the decimal (N = 10) there are ten of them: 0,1,2,3,4,5,6,7,8,9.
Representation of a number in a system with base (radix) N may only consist of digits that are less than N. (The converter works this way: first type a number in the base you wish to convert from.
www.cut-the-knot.org /binary.shtml   (604 words)

 Multilingual Mathematics Knowledge Base
The idea of the cooperation came from the NRICH of Cambridge University (http://nrich.maths.org), the SOLMU Finnish mathematical web-journal (http://solmu.math.helsinki.fi/) and the K├ÂMaL (High-School Mathematics and Physics Journal) (http://komal.hu).
The NRICH program is a joint project involving the Mathematics and Education faculties in Cambridge University which is known worldwide.
SOLMU was founded at the Helsinki University with the aim of renewing teaching of mathematics in Finland.
www.komal.hu /cikkek/2004-05/mbuttons/mbuttons.e.shtml   (640 words)

 Jigsaw Puzzles . . . A Buildable Base For Mathematics!
Many mathematical concepts are abstract in nature, difficult for many students to grasp.
jigsaw puzzles, using the component pieces of a jigsaw puzzle as an educational manipulative to teach mathematics.
You don't have to be a rocket scientist to benefit from the hands-on techniques demonstrated on jigsaw puzzles.
www.compozapuzzle.com /mathematics.htm   (105 words)

 NLVM 3 - 5 - Number & Operations Manipulatives
– Illustrate addition and subtraction in a variety of bases.
– Use base ten blocks to model grouping in addition.
– Use base ten blocks to model separation of groups in subtraction.
nlvm.usu.edu /en/nav/category_g_2_t_1.html   (424 words)

 Mathematics and Science Initiative
Engage the public in recognizing the need for better mathematics and science education for all children.
Develop a research base to improve our knowledge of what boosts student learning in mathematics and science.
The Secretary's Summit on Mathematics was held in February 2003.
www.ed.gov /inits/mathscience   (148 words)

 NCTM: About: Position Statements: Early Childhood Mathematics Education   (Site not responding. Last check: 2007-10-29)
The National Council of Teachers of Mathematics and the National Association for the Education of Young Children affirm that high-quality, challenging, and accessible mathematics education for 3- to 6-year-old children is a vital foundation for future mathematics learning.
Early childhood mathematics has a growing knowledge base about learning and teaching as well as an expanding array of research-based curriculum resources.
Base mathematics curriculum and teaching practices on current knowledge of young children's cognitive, linguistic, physical, and social-emotional development
www.nctm.org /about/position_statements/earlychildhood_statement.htm   (532 words)

 MSN Encarta - Search Results - Base (mathematics)
MSN Encarta - Search Results - Base (mathematics)
Russell then collaborated for eight years with the British philosopher and mathematician Alfred North Whitehead to produce the monumental work...
Search for books about your topic, "Base (mathematics)"
encarta.msn.com /Base_(mathematics).html   (149 words)

 ALGEBRA - Mathematical abstraction from concrete experience
In mathematics, a formal language, we use numerals to represent known or specified numbers, and letters to represent unknown or unspecified numbers.
Since the name of the width does not represent a specified number, the interpretation or value given to that name may change or vary; so that name is a variable.
By having their learning environments enriched with base-quad Montessori math materials, students will not be prevented by limitations of traditional, base-ten materials from developing mathematical abilities during earlier and more fruitful “sensitive periods” for the acquisition of those abilities.
www.newbanner.com /CEL/Math/algebra2.htm   (1642 words)

 Rainbow Trite | TCWH | Military Base Mathematics
I drive off base, there's the Japanese, bowing and driving, letting me in all over the place, guiding me out into traffic, and extending their general courtesy all over the road.
Military Base Mystery: In the drizzling, I saw some families walking down the football field stretch with pizza boxes.
At first, I thought they were holding them to shield themselves from the rain, which of course is what I would have done, but as I watched, they just walked, holding them at their sides.
hurlnecklace.mu.nu /archives/025134.php   (703 words)

 Mathematics   (Site not responding. Last check: 2007-10-29)
Pass out place value mats, base 10 sticks, and ones cubes.
This will be already placed in a quart sized baggies – 9 base 10 sticks, 9 ones cubes, and 1 place value mat.
(A place value mat is a piece of paper with a line drawn vertically in the middle of the paper and the heading in the right column saying ones and the heading in the other column saying tens.) Hold up a base 10 stick and explain that this is a set-1 set of tens.
www.iit.edu /~smile/mp1698.htm   (665 words)

 ABC Basic Mathematics Short-Cuts
What we believe is one of the finest math workbooks written on basic mathematics during the last decade.
In this new basic mathematics newsletter we will review the Base-10 Mathematical short cuts for multiplication, division, addition & subtraction.
Ask DR. Base-10 MATH all your basic mathematic questions about Base-10 Math for multiplication, division, addition and subtraction.
abcbiblemath.com   (668 words)

 MATHnetBASE: Mathematics Online
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of...
This peerless reference/text unfurls a unified and systematic study of the two types of mathematical...
Mathematics of Thermal Modeling: An Introduction to the Theory of Laser Material Processing, The
www.mathnetbase.com   (723 words)

 Mathematics WWW Virtual Library [FSU Math]
MathGrapher Mathematical graphing tool for 2D and 3D functions and data.
Miscellaneous Mathematical Utilities On-line mathematical utilities for students, engineers, and scientists.
Morphology Toolbox for MATLAB 5 Mathematical Morphology for ImageSegmentation and Analysis.
www.math.fsu.edu /Virtual/index.php?f=21   (1842 words)

 MSTE: K-12 Lessons & Curriculum Resource
Eisenhower National Clearinghouse for Mathematics and Science Education
"The Mathematics Lessons Database contains resources that are mostly for the high school and middle school levels.
We are working to acquire more resources suitable for the elementary level.
www.mste.uiuc.edu /html.f/k12.html   (180 words)

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