61. Mathematics http//pauillac.inria.fr/algo/bsolve/constant/magic/magic.html has more info. Orthogonal Circles, and Inversion Geometry, From Doctor math, Orthogonal Circles http://mcraeclan.com/links/infomath.htm

McRaeClan.Com Home Links email Search Engines ... Training Mathematics Eric Weisstein's Mathworld website is back! This website, Dr. Weisstein's life work (previously known as the Concise Encyclopedia of Mathematics) was the victim of a lawsuit over the rights to the material 10,056 entries (more than one myriad ), 176,142 cross-references, 4,132 figures, 105 animated graphics live Java applets , and counting... http://www.thesaurus.maths.org is a comprehensive math resource, with many java applets to help you visualize mathematical concepts. Cut The Knot! An interactive column using Java applets by Alex Bogomolny, part of the Cut-the-knot website. KöMaL A mathematical journal for high school students POTW - Problems Of The Week Purdue University Problem of the Week The Problem Site Nrich 15+ Puzzles MARP Mark's Archive of Riddles and Puzzles Macalester College Problem of the Week Math Forum @ Drexel POW (6 different POW's) http://ken.duisenberg.com/potw/

62. Cynthia Lanius' Lesson: Stressed Out - Slope As Rate Of Change Well, a curved line will have more than one slope. It s not a constant like it was on the straight lines. Teachers Notes More math Lessons from Cynthia Lanius. http://math.rice.edu/~lanius/Algebra/stress.html

Cynthia Lanius Pictured:The Yerkes-Dodson Law Stressed Out Slope as Rate of Change It's the night of the big game (or play). You're in the locker room (or dressing room). The coach (make that director) is pumping the team (cast) up. "Now, I know you people are nervous. That's okay, in fact, that's what we want. You're going to perform better on the court (stage) if you're a little nervous". Does the graph above confirm what the coach (director) told you? Here are some questions for you based upon the graph. Write a statement that describes performance as stress increases. Which part of the graph illustrates where stress is highest? What is performance at that point? Which part of the graph illustrates where performance is highest? Which part of the graph illustrates where performance is increasing? Which part of the graph illustrates where performance is decreasing? Notice that the graph is symmetric about a vertical line. What would you say this indicates about performance? What if this were a graph of your bank balance over a year. Describe what the graph would indicate about your saving and spending practices.

63. Constant (JADE V6.0 API) Function com.dautelle.math.functions.Polynomial com.dautelle.math.functions.constant All Implemented Interfaces java.lang.Cloneable, Operable, Realtime, java http://jade.dautelle.com/api/com/dautelle/math/functions/Constant.html

Overview Package Class Tree Deprecated Index Help ... JADE v6.0 PREV CLASS NEXT CLASS FRAMES NO FRAMES All Classes SUMMARY: NESTED METHOD METHOD com.dautelle.math.functions Class Constant java.lang.Object com.dautelle.realtime.RealtimeObject com.dautelle.math.functions.Function com.dautelle.math.functions.Polynomial com.dautelle.math.functions.Constant All Implemented Interfaces: Operable Realtime , java.io.Serializable public final class Constant extends Polynomial This class represents a constant function (polynomial of degree 0). Version: 6.0, March 17, 2004 Author: Jean-Marie Dautelle See Also: Serialized Form Nested Class Summary Nested classes inherited from class com.dautelle.math.functions. Polynomial Polynomial.Term Nested classes inherited from class com.dautelle.math.functions. Function Function.Variable Nested classes inherited from class com.dautelle.realtime. RealtimeObject RealtimeObject.Factory Method Summary Operable getValue Returns the constant value for this function. static Constant valueOf Operable value) Returns a constant function of specified value.

64. Dictionary.com/constant variable. Absolute constant (math.), one whose value is absolutely the same under all circumstances, as the number 10, or any numeral. http://dictionary.reference.com/search?q=constant

65. TeacherSource . Math . Linear Plant Growth | PBS Tuesday, May 11, 2004 Mathline. Activity I constant or Linear Plant Growth (Grade Levels 36). constant or Linear Growth. 1. Let’s http://www.pbs.org/teachersource/mathline/concepts/plants/activity1.shtm

search options Sunday, June 6, 2004 Activity I: Constant or Linear Plant Growth (Grade Levels: 3-6) Concepts Home Constant or Linear Plant Growth Continuously Changing Growth Surface Area of a Leaf ... More Math Concepts Objectives: Complete a table of values. Graph the values given in a table. Standards Standard 1 Problem Solving Standard 2 Communication Standard 3 Reasoning Standard 4 Connections Standard 5 Number and Number Relationships Standard 8 Patterns and Functions Standard 9 Algebra Student Activity (PDF File) Answers (PDF File) Constant or Linear Growth 1. Let’s simulate an imaginary plant’s growth. Assume that this plant grows at a constant rate. The length of the stem increases by 11 millimeters each day. a.Make a table of the plant’s height over a 10-day period. b.Make a graph of the plant growth over time in days. c.Predict the plant’s growth over a 100 day period. 2. Consider another plant that has a height of 30 millimeters when it is first measured and suppose it grows continuously at a rate of 8 millimeters per day. a.Make a table of the plant’s height over a 10-day period.

66. HOME 3. An antisymmetric formula for Euler s constant, math. Mag. 5. Criteria for irrationality of Euler s constant, Proc. Amer. math. Soc. 131 (2003) 33353344. http://home.earthlink.net/~jsondow/

Jonathan Sondow's Home Page Last updated on visitors since 2 October 2003 Before In Bahia 1971 After Email: jsondow@alumni.princeton.edu Education: Ph.D. Princeton University in 1965 Advisor: John MILNOR Mathematical Genealogy Part of Milnor's response to winning Steele Prize WHAT'S NEW 11 May 2004 1. New formula (see the last image below) and revision of [14] with new title "A Geometric Proof that e is Irrational and a New Measure of Its Irrationality." 2. Revision of [12] "A Faster Product for Pi..." includes a reference to Hasse's proof of the zeta(s) formula below. 3. A quote from Milnor's response to winning the 2004 Steele Prize for mathematical exposition, referring in part to his book "Lectures on the h-Cobordism Theorem," which I coauthored in my past life as a topologist. 4. Link to Jay Goldman's photo album "Princeton University in 1965." FORMULAS AND PLOTS FROM MY WORK (SCROLL DOWN FOR CITATIONS AND PAPERS) A globally convergent series for the zeta function [1], [12], cited in [iii], [viii], [III], [IV]

67. Notable Properties Of Specific Numbers At MROB 0.007297352533(27) The finestructure constant. 2 the equivalent in base 10 is 0.41245403364 , and is called the Thue-Morse constant or the parity constant. http://home.earthlink.net/~mrob/pub/math/numbers.html

Notable Properties of Specific Numbers Introduction These are some numbers with notable properties. (Most of the less notable properties are listed here .) Other people have compiled similar lists, but this is my I think are important A few rules I used in this list: Everything can be understood by a typical undergraduate college student. If multiple numbers have a shared property, that property is described under one "representative" number with that property. I try to choose the smallest representative that is not also cited for another property. Properties that do not depend on our use of base-10 are listed before those that do. Mathematical (abstract, non-physical) properties are listed before non-mathematical (cultural, linguistic, etc.) properties. This is the Planck time in seconds; it is related to quantum mechanics. The best interpretation for most people is that the Planck time is the shortest measurable period of time; any two events that are separated by less than this amount of time can be considered simultaneous. See also and This is the Planck length in meters; it is related to quantum mechanics. The best interpretation for most people is that the Planck length is the smallest measurable length, or the smallest length that has any relevance to events that we can observe. See also

68. 5.6 Math -- Mathematical Functions e The mathematical constant e. Note The math module consists mostly of thin wrappers around the platform C math library functions. http://www.python.org/doc/current/lib/module-math.html

Python Library Reference Previous: 5.5 test.test_support Up: 5. Miscellaneous Services Next: 5.7 cmath math Mathematical functions This module is always available. It provides access to the mathematical functions defined by the C standard. These functions cannot be used with complex numbers; use the functions of the same name from the cmath module if you require support for complex numbers. The distinction between functions which support complex numbers and those which don't is made since most users do not want to learn quite as much mathematics as required to understand complex numbers. Receiving an exception instead of a complex result allows earlier detection of the unexpected complex number used as a parameter, so that the programmer can determine how and why it was generated in the first place. The following functions are provided by this module. Except when explicitly noted otherwise, all return values are floats: acos x Return the arc cosine of x asin x Return the arc sine of x atan x Return the arc tangent of x y, x

69. Toolkit This tool can be used to find the general explicit solution of the Bernoulli differential equation dy/dx + P(x)y = Q(x)y r where r is a constant. http://mss.math.vanderbilt.edu/~pscrooke/detoolkit.html

The MathServ DE Toolkit List of Tools Here is a list of the operational tools that are available at this time. More will follow! Antiderivative . This tool attempts to find antideivatives of the given function. Plotting an equation . This tool draws the graph of an equation: F(x,y)=0. Solve a system . This tool attempts to solve a system of linear equations. Tangent field of an ODE . This tool draws the tangent field of a first order ODE: dy/dx = f(x,y) over a rectangle of the xy-plane. Solving a separable ODE . This tool can be used to find the general implicit solution of the first order, separable differential equation: P(x)dx + Q(y)dy = 0. Solving an exact ODE . This tool can be used to find the general explicit solution of the first order, exact differential equation: P(x,y)dx + Q(x,y)dy = 0. Solving a linear ODE . This tool can be used to find the general explicit solution of the first order, linear differential equation: dy/dx + P(x)y = Q(x). Solving a homogeneous ODE . This tool can be used to find the general implicit solution of the first order, homogeneous differential equation: dy/dx = f(x,y) = F(v), v = y/x. Solving a Bernoulli ODE . This tool can be used to find the general explicit solution of the Bernoulli differential equation: dy/dx + P(x)y = Q(x)y r where r is a constant.

70. E (mathematical Constant) - Wikipedia, The Free Encyclopedia The constant math e /math (occasionally called Napier s constant in honor of the Scottish mathematician John Napier who introduced logarithms) is the base of http://www.phatnav.com/wiki/wiki.phtml?title=E_(mathematical_constant)

71. Cosmological Constant - Wikipedia, The Free Encyclopedia The Quaternion Gravity Equation containing the constant is math Force = X^2L=({ \partial^2 \over c^2\partial t^2 } \nabla^2)Ls - 2\partial / c\partial t http://www.phatnav.com/wiki/wiki.phtml?title=Cosmological_constant

72. Some Interesting Math Sites One can enter a constant and get in return a list of mathematical expressions that generate that constant. This is a fun math site. Primes! http://orion.ramapo.edu/~ldant/sites.html

A Small Compendium of Interesting Math Sites Mathematics on the Web is a compendium by the A.M.S. of various math Web resources. Erdos number project compiles a list of all mathematicians whose Erdos number is 1 or 2. Math Archives has a wide variety of mathematical resources with a primary emphasis on materials used in the teaching of mathematics. Yahoo Mathematics page is a categorized list of Web sites devoted to mathematics. Directory of math sites on the Web. This Penn State site has a good collection of mathematical associations, journals, and mathematics department Web servers. WWW Virtual Library This Florida State site has the Mathematics section of the Virtual Library, which has extensive links to mathematics resources on the Web. The Inverse Symbolic Calculator This is a set of programs and specialized tables of mathematical constants. One can enter a constant and get in return a list of mathematical expressions that generate that constant. This is a "fun" math site. Primes! This site is an excellent resource about prime numbers. Wondering about the largest currently known prime? Need information on Mersenne primes? Want a good test for primality? For all this and more check out this site. sci.math FAQ

73. Decay Constant - Physics Help And Math Help - Physics Forums confusing decay rate (which is dN/dt) with decay constant (which is http://www.physicsforums.com/showthread.php?t=24169

74. Capacitor --> Time Constant - Physics Help And Math Help - Physics Forums questions for you (1) How do you calculate the time constant of an http://www.physicsforums.com/showthread.php?t=23428

75. Homework Hot Line For Lee Ann Constant Homework Hot Line. Teacher, Subject, Grade, Period. Lee Ann constant, math, 7, any. ASSIGNMENTS DUE (Last Updated 5/18/2004 ) DUE ON, TYPE, DESCRIPTION. http://logan.pausd.palo-alto.ca.us/terman/pages/lconstant_ma_7_any.html

Homework Hot Line Teacher Subject Grade Period Lee Ann Constant Math any ASSIGNMENTS DUE (Last Updated: DUE ON TYPE DESCRIPTION (Fri) Homework Portfolio due 6/4 (Fri) Classwork Classwork: Compost Box Homework: answer questions NEW/WHAT IS HAPPENING (Last Updated: Progress reports went home last week, ask your child about it! Portfolio assigned 5/24, due 6/4 Test Surface area and volume, 6/3 OTHER (Last Updated: Click here to view the log of past assignments. You are visitor number 791! Terman's Home Homework Hot Line ... Page

76. Constant Field Values (Probability/Statistics Object Library) constant Field Values. Contents edu.uah.*. edu.uah.*. edu.uah.math.devices.BertrandFloor. public static final int, UNIFORM_ANGLE, 1. public http://www.math.uah.edu/psol/objects/constant-values.html

var baseURL = "../"; Virtual Laboratories Probability/Statistics Object Library Packages Devices Distributions Experiments Introduction The object library contains applets and the components of the applets for use by teachers and students of probability and statistics. These objects (both executable files and source code) can be downloaded, modified if desired, and reused. Applets The applets in this project are small, self-contained programs that run in web pages. They are intended to illustrate probabilistic and statistical concepts and techniques in an interactive, dynamic way. A teacher or student can download an applet, drop it in a web page, and then add other elements of her own choice (such as expository text, data sets, and graphics). The applets in the library contain essentially no mathematical theory and thus can be used by students at various levels. The applets are intended to be small "micro worlds" where students can run virtual versions of random experiments and play virtual versions of statistical games. No knowledge of programming in general or Java in particular is required to use the applets as is. The applets are the top level objects in the library, and are in the

77. Math Glossary A-M constant, a,b. Monomials that contain no variables. constant Function, A function for which the entire range has a constant value. , where c is a constant. http://www.blc.edu/fac/rbuelow/common/glossarya-m.htm

Mathematics Glossary A-M Go to: Calculus Mathematical Problem Solving College Algebra Term Definition A Absolute Maximum The maximum value of the function over its entire domain . (See Global Maximum Absolute Minimum The minumum value of the function over its entire domain . (See Global Minimum Absolute Value The distance that a number is from zero on the number line. This must always be either zero or positive. Addition of Functions . The domain for this combination function is , where A is the domain of function f , and B is the domain of function g . Example if: and , then Additive Identity The number which when added to any other number, results in the other number. Zero(0) is the Additive Identity. (See Identity Element Additive Inverse The number which when added to a certain number, results in the Identity Element for Addition. (0) Algebraic Expression An expression which has at least one variable in it.

78. Math Unit III: More On The Derivative And Differential Equations math Unit III More on the derivative and differential equations. rule is worth a special mention If one of the factors u or v or is a constant function then http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html

Back to Contents! Next: Force Revisited Up: CONSERVING EQUATIONS Previous: CONSERVING EQUATIONS Math Unit III: More on the derivative and differential equations In the last unit, we discussed how mathematicians and scientists deal with quantities that change in ways other than linearly. The key idea turns out to be the rate of change of the quantity. The lowbrow way to measure the rate of change is to compute the average rate of change over a small interval. The high-class way to talk about change is to try to compute the derivative , or instantaneous rate of change In real-world situations, when one deals with measured data, it is often the case that the data has been measured only for certain specific values of the independent variable. Then, one can only compute average rates of change between the data points. But in mathematics, when one deals with abstractly-defined functions, it is possible to compute derivatives. Often, mathematical models are developed using derivatives, predictions are made based upon these mathematical models, and then experimental results are compared to the predictions to see how well the models reflect reality. 1. Review and extensions

79. Fine Structure Constant, Alpha Chekad Sarami s List of math Sites. List of math Sites. Alan Montgomery and Lambert Dolphin s website Is the velocity of light constant in time?-. http://www.btinternet.com/~ugah174/

James G. Gilson, Fine Structure Constant The fine structure constant, a 20th century mystery The question of how to calculate the numerical value of the fine structure constant from theory was one of the most outstandingly difficult problems in mathematical physics for the greater part of the 20th century. There were many unsuccessful attempts by researchers including famous ones such as P. A. M. Dirac to find a formula for the fine structure constant. See John Baez's website page Open Questions in Physics and also the PhysLINK website. Substantial progress with this fundamental problem is outlined on this web page. R.P. Feynman in a remarkable intuitional leap some 40 years ago as can be seen from the following much quoted extract from one of Feynman's books. fundamental quantum coupling constants are given by the very simple formula depending on two integer parameters n and n ,n ) = n The values of the quantum coupling constants are often denoted by the lower case Greek letter alpha alpha with no subscript.

80. Online Encyclopedia - Planck's Constant math h = 6.6261 \times 10^{34} Js. /math . Planck s constant has units of energy multiplied by time, which are the units of action. http://www.yourencyclopedia.net/Planck's_constant.html

Encyclopedia Entry for Planck's constant Dictionary Definition of Planck's constant Planck's constant , denoted h , is a physical constant that is used to describe the sizes of quanta . It plays a central role in the theory of quantum mechanics , and is named after Max Planck , one of the founders of quantum theory. It has a value of approximately Planck's constant has units of energy multiplied by time , which are the units of action . These units may also be written as momentum times distance N m s ), which are the units of angular momentum A closely-related quantity is pi . This constant, which is pronounced as "h-bar", is sometimes (though infrequently) referred to as Dirac's constant , after Paul Dirac Planck's constant is used to describe quantization, a phenomenon occurring in microscopic particles such as electrons and photons in which certain physical properties occur in fixed amounts rather than assuming a continuous range of possible values. For instance, the energy E carried by a beam of light with constant frequency can only take on the values It is sometimes more convenient to use the angular frequency , which gives Many such "quantization conditions" exist. A particularly interesting condition governs the quantization of

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