• Why is it that 1 + 1 = 10 in the base 2?
In the introductory computer courses --from intermediate schools up to college and online courses-- one of the main topics to be covered is the mathematics of binary arithmetic. The binary arithmetic is a somewhat esoteric topic because in binary arithmetic everything is done with ones and ceros. The fundamental properties of binary addition are: 0 + 0 = 0, 1 + 0 = 1, and 1 + 1 = 10; why? • What is the cardinality of infinity?
Mathematics is the science of logic, however, it's full of illogical ideas. And nothing more "illogical" than the concept of infinity. Trying to put into our minds this immense concept is not easy, but some have done it. • The tablet and the Book of Sand
The tablet is a wonderful computing device. So wonderful are the tablets that you can virtually browse the almost infinite Internet with one of them; doesn't this remind you of The Book of Sand? • Foucault's pendulum and the rotation of the Earth
Some scientific apparatuses are so simple that it is almost impossible to decipher the hidden secrets they carry. The pendulum is one of them.• How heavy is a kilogram?
Yes, the question is correct; how heavy is a kilogram? Can you point or mention something of the daily life that weighs exactly one kilogram?• Why do we need imaginary numbers?
We use to take the fractions for granted, we do not question the negative numbers. Even the irrational numbers seem "reasonable" for us. However, the sole mention of "imaginary numbers" appears to be a crazy idea.• What is Soh Cah Toa?
Having problem remembering the trigonometric relations of the right triangle? Then follow the advice of old Chief Soh Cah Toa.• The lure of the spirals
Almost every geometric figure is beautiful. But some of them are hypnotic; are we thinking of the spiral?• Common mathematical symbols
Need to review the meaning of a mathematical symbol? Maybe this infographic is of some help to you.• Sets, subsets, and cardinality of sets
Georg Cantor laid the foundations of a beautiful theory called The Theory of Sets. Some sets are finite while other are infinite. Cardinality is the measure that separates one type from the other.• Tetration: the super-exponentiation
TTetration is a mind-boggling mathematical operation. The grains of sand needed to cover our entire Milky Way is easily expressed using tetration.