• How Does Distance Education Works?
Distance education has many names: online learning, online education, remote learning, and eLearning. The distance learning revolution is taking us by surprise. Almost every secondary school, or college, or university, is requiring their students and online course to prepare them for future online degrees and online careers.• GemaSolar: Solar energy day and night
GemaSolar is a unique power generation plant in the world for its particular technology. It consists of thousands of mirrors that concentrate sunlight onto a small area at the top of a tower of 140 m. The collected heat is transferred into the heat transfer cabin and used to generate steam which makes this one of a kind plant to generate electricity even when the sun does not shine.• What are radians and steradians?
The concept of radian measure -as opposed to the degree of an angle- is normally credited to Roger Cotes in 1714. Radian is a natural measure for angles because it is a measure based of the radius of of a unit circles, as many other trigonometric functions are.
Some seemingly simple concepts need strong mathematical justification in order to belong to the foundations of mathematics; the concept of ordered pair is one of them. Ordered pairs are needed when we graph mathematical functions to see the visual behavior of them. Plotting graphs in the Cartesian coordinate system is used and needed in almost every branch of science. What are ordered pairs, and is its relation with the theory of sets?• Human proportions: The Vitruvian man
The human body is not only a marvelous machine, it is also a marvelous example of geometrical anatomical proportions. There are many ways in which human measures are surprisingly the same, or a integer multiples of one to another. Why is it that we can be framed into a square, as Leonardo da Vinci, and the ancient Roman architect Vitruvius showed through some historically famous drawings?• You don't need to remember passwords!
Remembering passwords is a great deal of mental work for almost everybody. Passwords must be different from one account to the other; the password you use for an Email account should not be the same for a bank account. So, how can we keep in mind the different passwords? The answer is really simple; unexpectedly simple!
The Cartesian coordinate system is a marvelous tool for plotting equations. The graph we obtain tell us a lot about the behavior of the function being graphed. The simplest equation we can graph is the equation of the straight line, but since it can assume many orientations, we call it a family of straight lines.
Small numbers are easy to read; for example, 456 is easily spelled as: four hundred and fifty-six. But confusion arises when we have billions, trillion, quadrillions, etc. Some numbers are so big that they don't have names at all, but only exclamation expressions. A Googol! is an exclamation expression for a big, big number. But what number is this and what is its relation with Google, the all familiar name of the search engine giant? • 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.
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.
Having problem remembering the trigonometric relations of the right triangle? Then follow the advice of old Chief Soh Cah Toa.
Almost every geometric figure is beautiful. But some of them are hypnotic; are we thinking of the spiral?
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
Tetration is a mind-boggling mathematical operation. The grains of sand needed to cover our entire Milky Way is easily expressed using tetration.