Mathematics

The modern discipline of geometry is affecting virtually every branch of mathematics , and is in a period of great progress. Many old problems are being solved using techniques from the area (notably Perelman's resolution of the Poincaré conjecture) and new directions are being pioneered. An important theme in this area has been the development and use of sophisticated techniques from the theory of PDEs to study natural equations that arise in geometry. The Atiyah-Singer index theorem from the 1960s connects the theory of linear PDEs to topology and geometry. The development of tools for nonlinear PDEs in geometry has been slower but has led to many of the most dramatic developments in mathematics including Donaldson's breakthroughs in the theory of four-manifolds using the Yang-Mills equations of high-energy physics. The study of lower dimensional manifolds (dimensions four or less) has particular significance to theoretical physics and has many applications. Floer homology is...

How to play multiplication games of math for kids? Have fun learning math games online with a great range of interactive activities and practice problems that will help improve multiplication skills. Solve a number of puzzles, win logic games and finish many kind of problems arithmetic problem all feature a healthy dose of multiplication. The games are great for parents and teacher looking for educational math resources will help the student with solving math problem online. Multiplication game 1 Multiplication game 2 Multiplication game 3 Multiplication game 4

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In the calculation of mathematical comparison that part of Algebra calculation, to compare one calculation and want to calculate other different amoun should be understood the phylosophy of calculation in order make use easier to formulated. The mathematical language can make the problem similar with other problem, so make it is easier to calculate other similar problem. There are two formula guideline for comparison calculation, Proportional Comparison and Inversely Comparison. Proportional comparison use formula: A 1  x B 1 = A 2  x B 2   and Inversely comparison use formula:       A 1 : A 2 = B 1 : B 2 Even the formula seem can be made same each other but on using it looklike differnt. For example, formula on using electric current  W (watt)  = V(volt) x I (ampere) so the comparison of V 1 x I 1 = V 2 x I 2   so can be said that the formula is proportional comparison. On the ot...

The story of mathematic teacher sometimes make me feel amused because if you are already study of mathematical calculation you will said how come. When the teacher already given the Math class then there are any conversation between student and teacher, their conversation like this: Teacher: "Ali can you calculate the sum of 5 + 5" Ali:        "5 + 5 sir? it's must be 8 sir!" Teacher: "No Ali you are wrong it is 10" Ali:        "OK, Sir but I still don't understand." Teacher: "OK, you can try again Ali, how about what the sum of 7 + 8?" Ali:         "7 + 8 must be 13 Sir!" Teacher: "Wrong again Ali, 7 + 8 equal with 15 Ali!" The teacher don't understand what's wrong with Ali why he still don't understand the calculation. Then the teacher ask again to Ali, because He look like confusing. Teacher: "Ali, What are you thinking about?" Al...

A simple formula from pythagoras is calculatef of each side on right triangle as follows: C 2 = A 2 + B 2 Where : C = the incline side length A and B = other triangle side length. For Example calculation can see on picture below: For your excercise please do the following problem: Calculate the length of the hypotenuse if the lenght elbow side 6 and 8? Calculate the length of one side of the elbow if the length of the hypotenuse = 10 and the other 4?

There are many mathematics for bussiness and each other have different calculation method, On the example below I have applied the calculation for my own business and it's really applicable and simple to calculate. My business fresh water fish farming called as "Gurame" fish in Indonesia. The calculation of  Gurame fish farming  really depend on the space to conserve you have, more wide you have fishpond more higher you have income. And not depend on the fish size because each size have different price. My calculation is income per fishpond. Whatever you have fish size your income will same per square meter of fishpond you have. Let see my simple calculation: Age (m) Fish per 25 m2 Price/Ea Fish Per M2 Total Value  1 12500 200 500 2500000  2 6250 400 250 2500000  3 3125 900 125 2812500  4 1875 1500 75 2812500  5 1250 2250 50 2812500  6 750 3500 30 2625000  7 625 4200 25 2625000  8 500 5500 20 2625000 ...