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Advanced-level-maths-revision, pure-maths, calculus. Math Forum - Ask Dr. Math. Zero Factorial - Numberphile. John Nash's ground-breaking contributions to maths. Genuinely new, genuinely brilliant ideas in mathematics are hard to come by.

John Nash's ground-breaking contributions to maths

Undergraduate maths, for example, contains few topics imagined after 1950. That John Nash made ground-breaking contributions in mathematical areas as diverse as games, geometry and topology, and partial differential equations therefore establishes his place in history. Much more striking, though, is the continuing resonance of his ideas. Just last week, as Nash was in Oslo collecting the prestigious Abel Prize, colleagues of mine began applying his famous concept of equilibrium to help address one of society's much more contemporary problems - that of supplying electricity cheaply, reliably and cleanly.

Great new mathematical ideas have a balance to strike - they must be precise enough to allow detailed conclusions to be drawn, and yet sufficiently loose that they can be useful in a wide range of problems. There was a growing appreciation at Rand that this assumption was not realistic. OneNote in class at Pitt Meadows Secondary School. Msn. Topics from mathcentre. Solving Exponential Equations by Using Logarithms. {*style:<i><b>Solving Exponential Equations: Most exponential equations do not solve neatly; in solving these more-complicated equations, you will need to use logarithms.

Solving Exponential Equations by Using Logarithms

For instance: If this equation had asked me to "Solve 2 = 32 ", it would have been easy, because I could have converted the 32 to 2 5 , set the exponents equal, and solved for " = 5 ". But 30 is not a power of 2 , so I can't set powers equal to each other. I need some other method of getting at the , because I can't solve with the equation with the variable floating up there above the 2 ; I need it back down on the ground where it belongs. When dealing with equations, I can do whatever I like to the equation, as long as I do the same thing to both sides.

In this case, the variable has been put in the exponent. B ( ) = · b ( ) How to Make a Khan Academy Video. Tool: Wacom Pad in Teaching. IB International Baccalaureate Mathematics - Standard Level Syllabus. Sitemap of CALCULUS PAST PAPERS UBC-SFU-UVic-UNBC. Communicating with the Mothership Scene from Close Encounters of the Third Kind Movie (1977. Plants 'do maths' to control overnight food supplies. Plants have a built-in capacity to do maths, which helps them regulate food reserves at night, research suggests.

Plants 'do maths' to control overnight food supplies

UK scientists say they were "amazed" to find an example of such a sophisticated arithmetic calculation in biology. Mathematical models show that the amount of starch consumed overnight is calculated by division in a process involving leaf chemicals, a John Innes Centre team reports in e-Life journal. Birds may use similar methods to preserve fat levels during migration. The scientists studied the plant Arabidopsis, which is regarded as a model plant for experiments. 'Astonished' Overnight, when the plant cannot use energy from sunlight to convert carbon dioxide into sugars and starch, it must regulate its starch reserves to ensure they last until dawn.

Graphing Calculator- Free online tool graph functions, finds intersections, table of values. Implicit equations, pan, zoom, & export as image. Graphing Calculator. Combinations and Permutations Calculator. Find out how many different ways you can choose items.

Combinations and Permutations Calculator

For an in-depth explanation of the formulas please visit Combinations and Permutations. Note: The old version is here. For an in-depth explanation please visit Combinations and Permutations. Power Users! You can now add "Rules" that will reduce the List: The "has" rule which says that certain items must be included (for the entry to be included). Example: has 2,a,b,c means that an entry must have at least two of the letters a, b and c.

The "no" rule which means that some items from the list must not occur together. Introduction to Logarithms. A REVIEW OF LOGARITHMS. Many students in high school and in college have a difficult time with logarithms.


In many cases, they memorize the rules without fully understanding them, and they sometimes even manage to squeak by a course. Why waste their time on these archaic entities; they are never going to see them again. Wrong! Just when the student breathes a sigh of relief to be done with logarithms, they encounter them again in another course. They are now in trouble because the second encounter with logarithms is at a more sophisticated level. Since logarithms are exponents, we will review exponential functions before we review logarithms and logarithmic functions.

History of Logarithms: Logarithms were invented independently by John Napier, a Scotsman, and by Joost Burgi, a Swiss. The invention of the common system of logarithms is due to the combined effort of Napier and Henry Briggs in 1624. Logarithms are useful in many fields from finance to astronomy. Shortcuts means 5 + 5+ 5. Prairie South Video Server.

Math Expressions.


OLE. CURRICULUM. COMPETITIONS. Memorable Math With Ms. Napolitano - Welcome. Precalculus 20 - Unit 6.3 - Adding and Subtracting Rational Expressions - Prairie South Video Server. IB HL Mathematics - May 2011 - Paper 2, TZ1, Qu. 6. 2. Remainder and Factor Theorems. Guidelines.