ScienceDaily (2010-11-28) -- Neuroscientists have made the surprising discovery that the brain sees some faces as male when they appear in one area of a person's field of view, but female when they appear in a different location.
To find out more, follow: http://www.sciencedaily.com/releases/2010/11/101124124018.htm
Physicists from the ALICE detector team have been colliding lead nuclei together at CERN's Large Hadron Collider (LHC) in an attempt to recreate the conditions in the first few microseconds after the Big Bang. Early results have shown that the quark-gluon plasma created at these energies does not form a gas as predicted, but instead suggest that the very early universe behaved like a hot liquid.
The Large Hadron Collider enables physicists to smash together sub-atomic particles at incredibly high-energies, providing new insights into the conditions present at the beginning of the universe.
ALICE (an acronym for A Large Ion Collider Experiment) researchers have been colliding lead nuclei to generate incredibly dense sub-atomic fireballs – mini Big Bangs at temperatures of over ten million degrees.
Previous research at lower energies had suggested the hot fire balls produced in nuclei collisions behaved like a liquid, yet many still expected the quark-gluon plasma to behave like a gas at these much higher energies.
Additionally, it has been found that more sub-atomic particles are produced in the collision than some theoretical models suggested.
“Although it is very early days we are already learning more about the early Universe,” said Dr David Evans, from the University of Birmingham’s School of Physics and Astronomy, and UK lead investigator at ALICE experiment. “These first results would seem to suggest that the Universe would have behaved like a super-hot liquid immediately after the Big Bang.”
The ALICE experiment aims to study the properties of the state of matter called a quark-gluon plasma. The ALICE Collaboration comprises around 1,000 physicists and engineers from around 100 institutes in 30 countries. During collisions of lead nuclei, ALICE will record data to disk at a rate of 1.2 gigabytes (GB), equivalent to two CDs every second, and will write over two petabytes (two million GB) of data to disk. This is equivalent to more than three million CDs, or a stack of CDs without boxes several miles high!
To process this data, ALICE will need 50,000 top-of-the-range PCs, from all over the world, running 24 hours a day.
Astronomers have confirmed the first discovery of an alien planet in our Milky Way that came from another galaxy, they announced Thursday.
The Jupiter-like planet orbits a star that was born in another galaxy and later captured by our own Milky Way sometime between 6 billion and 9 billion years ago, researchers said. A side effect of the galactic cannibalism brought a faraway planet within astronomers' reach for the first time ever.
The find may also force astronomers to rethink their ideas about planet formation and survival.
According to the following pictures:
he was, indeed, right handed.
Such an easy proof!
Wormholes arise as solutions to the equations of Einstein's general theory of relativity. In fact, they crop up so readily in this context that some theorists are encouraged to think that real counterparts may eventually be found or fabricated and, perhaps, used for high-speed space travel and/or time travel. However, a known property of wormholes is that they are highly unstable and would probably collapse instantly if even the tiniest amount of matter, such as a single photon, attempted to pass through them. A possible way around this problem is the use of exotic matter to prevent the wormhole from pinching off.
Many physicists believe wormholes (a "shortcut" through space and time) exist all around us but they are smaller than atoms.
According to www.wordnetweb.princeton.edu/perl/webwn,
Klein bottle is “a closed surface with only one side; formed by passing one end of a tube through the side of the tube and joining it with the other end”
Klein bottle parametric equations:
Klein bottle Cartesian equation:
Many people find arithmetic hard to learn, but most succeed, to varying degrees, though only after a lot of practice. What makes it possible is that the basic building blocks of arithmetic, numbers, arise naturally in the world around us, when we count things, measure things, buy things, make things, use the telephone, go to the bank, check the baseball scores, etc. Numbers may be abstract — you never saw, felt, heard, or smelled the number 3 — but they are tied closely to all the concrete things in the world we live in.
Algebra is thinking logically about numbers rather than computing with numbers. In algebra you are a second step of abstraction removed from the everyday world: those x’s and y’s usually denote numbers in general, not particular numbers. In algebra you use analytic, qualitative reasoning about numbers, whereas in arithmetic you use numerical, quantitative reasoning with numbers. For example, you need to use algebraic thinking if you want to write a macro to calculate the cells in a spreadsheet like Microsoft Excel. It doesn’t matter whether the spreadsheet is for calculating scores in a sporting competition, keeping track of your finances, running a business, or figuring out the best way to equip your character in World of Warcraft, you need to think algebraically to set it up to do what you want — that means thinking about or across numbers, rather than in terms of numbers. When students start to learn algebra, they inevitably try to solve problems by arithmetical thinking. That’s a natural thing to do, given all the effort they have put into mastering arithmetic, and at first, when the algebra problems they meet are particularly simple (that’s the teacher’s classification), this approach works. In fact, the stronger a student is at arithmetic, the further they can progress in algebra using arithmetical thinking. (Many students can solve the quadratic equation x2 = 2x + 15 using basic arithmetic, using no algebra at all.) Paradoxically, or so it may seem, however, those better students may find it harder to learn algebra. Because to do algebra, for all but the most basic examples, you have to stop thinking arithmetically and learn to think algebraically.
1. Start with a long rectangle (ABCD) made of paper.
2. Give the rectangle a half twist.
3. Join the ends so that A is matched with D and B is matched with C.
This curious surface is called a Möbius Strip (pronounced UK: /ˈmɜːbiəs/ or US: /ˈmoʊbiəs/ in English, [ˈmøːbi̯ʊs] in German) or Möbius Band, named after August Ferdinand Möbius, a nineteenth century German mathematician and astronomer, who was a pioneer in the field of topology. Möbius, along with his better known contemporaries, Riemann, Lobachevsky and Bolyai, created a non-Euclidean revolution in geometry.
Möbius strips have found a number of surprising applications that exploit a remarkable property they possess: one-sidedness. Joining A to C and B to D (no half twist) would produce a simple belt-shaped loop with two sides and two edges -- impossible to travel from one side to the other without crossing an edge. But, as a result of the half twist, the Möbius Strip has only one side and one edge!
To demonstrate this, (1) start midway between the "edges" of a Möbius Strip and draw a line down its center; continue the line until you return to your starting point. Did you ever cross an edge? (2) Next, hold the edge of a Möbius Strip against the tip of a felt-tipped highlighter pen. Color the edge of the Möbius Strip by holding the highlighter still and just rotating the Mobius Strip around. Were you able to color the entire edge? (3) Now, with scissors cut the Mobius Strip along the center line that you drew. Then draw a center line around the resulting band, and cut along it. Did you predict what would happen?
Giant Möbius Strips have been used as conveyor belts (to make them last longer, since "each side" gets the same amount of wear) and as continuous-loop recording tapes (to double the playing time). In the 1960's Sandia Laboratories used Möbius Strips in the design of versatile electronic resistors. Free-style skiers have christened one of their acrobatic stunts the Möbius Flip.
The famous artist, M.C. Escher, used mathematical themes in some of his work, including a Möbius parade of ants. His flight of swans looks like it might be a Möbius Strip, but it's not. Can you see why not?
Martin Gardner wrote an amusing short story based on the Möbius Strip called "The No-sided Professor," which you can find in Fantasia Mathematica, a book edited by Clifton Fadiman.
The no-sided Professor: 
The gas molecules in the atmosphere scatter the higher-energy (high frequency) blue portion of the sunlight more than they scatter the lower-energy red portion of the sunlight (this is called Rayleigh scattering, named for the physicist Lord John Rayleigh). The Sun appears reddish-yellow and the sky surrounding the Sun is colored by the scattered blue waves.
When the Sun is lower in the horizon (near sunrise or sunset), the sunlight must travel through a greater thickness of atmosphere than it does when it is overhead, and even more light is scattered (not just blue, but also green, yellow, and orange) before the light reaches your eyes. This makes the sun look much redder.
Time is our way of keeping track of changes; changes that are constantly happening in the universe. Time arises due to the dynamic nature of the universe or one could say, dynamism of universe is possible because there is time!
In a way time must have been invented so that all things do not happen at the same moment and space was made so that all things do not happen at the same place. By time, we mean a series of changes or events that occur. Those events that happen periodically like the rising and setting of the Sun, the rotation of the Earth and revolution of the Earth around the Sun are used as references to calibrate and measure time. Our clocks are synchronized with these periodically repeating events to keep track of time.
What Does a Dimension Mean?
A dimension is a degree of freedom of a system. In simple words, it means the number of ways or directions in which change can take place in a system. Let us understand what do we mean by the dimension of our universe, our world. Imagine an ant walking on a very thin thread. The width of the thread is such that it can either move forward or backward on the thread, it cannot move sideways. That is its 'freedom of movement' is restricted to 'one dimension'. It has one degree of freedom and therefore one dimension. Similarly, an ant moving on a flat disk can move straight or sideways but not up and down, so its degrees of freedom is two. Hence it's moving on a two dimensional object.
Now imagine a flying ant like 'atom ant', it can move straight ahead or back, sideways, as well as up and down. Its degree of freedom is three, so it's moving as we all do in three space dimensions because the degree of freedom is three!
How is Time the 4th Dimension?
Now ask yourself, how would movement in all these dimensions be possible, if there was no concept of time? You will find that dynamism in space would not be possible if there was no time! When all of those ants were moving, they 'moved' in time too! So the ant on the thread had not one but two degrees of freedom! One was space and the other, time. That is, it was moving in two dimensions. Similarly in this world, we move in three space dimensions plus one 'time dimension'.
However, time as a dimension is unique and different from other space dimensions. In space dimension, you can move ahead and backwards, there is no restriction on that. However in time, you can only move in one direction. In time, you cannot move backwards, only forward! This has far reaching implications which we will discuss further, but first let us understand how Einstein's special relativity changed our perceptions of space and time.
Einstein and the Unification of Space Time
In 1905, a Swiss patent clerk, Albert Einstein put forth a theory called special relativity which dealt the fatal blow to the old established bastion of Newtonian mechanics which had the perception of an 'absolute time'. The theory revolutionized the way we see nature and the universe.
The basic postulate of special relativity is that no information can travel faster than the velocity of light in vacuum and it is constant. The second postulate is that all laws of the physical world should remain the same in any inertial reference frame. By inertial reference frame, we mean a co-ordinate system of reference moving at a constant velocity or which is stationary. Any other co-ordinate system moving with constant velocity with respect to a co-ordinate system at rest is also an inertial reference frame.
Newton's mechanics had the concept of absolute time. That is, no matter which reference frame people are using, their clocks if compared show the same time. Special relativity changed this perception. The necessity that the speed of light should be constant forces us to abandon the absoluteness of time! That is different observers in different reference frames show different times in their watches, but the laws of physics will remain the same. In fact the faster you move in space, the slower you move in time! This is often called time dilation. Time was not absolute, it became relative!
This forced the world to abandon the concept of separate ideas of space and time and a single unified concept of spacetime came into existence. Some found it in Einstein's name itself. 'Ein' means 'one' in German. Split up his name as ' EIN+ST+EIN', ST meaning space time. If you see, it literally means 'one space time'; just a lucky coincidence one would say! Time was realized as the 4th dimension.
Let us try to understand what it really means by 'time dilation'. We are all continuously moving not just in three dimensional space but in four dimensional space time. Consider a racing car moving on an absolutely straight race track at a constant velocity. It is moving in one dimension and takes some time to reach the finish line. Now consider that it's trying to reach the finish line, but on an oblique path. Its velocity is now distributed over two dimensions and therefore it's taking longer for the car to cover the same distance. Its velocity in the original one dimension has reduced.
In a similar way, all objects in the real world are moving in a four dimensional space time at a constant velocity as that of light! Sounds astounding but it's true. Only the velocity is distributed over dimensions and most of it is in the time dimension.
When the objects are at rest, they are moving only in the time dimension. Now when they start moving, their velocity increases in the three space dimensions, and therefore it slows down in the time dimension! Therefore the faster you move in three space dimensions, the slower you go in the time dimension! This causes time dilation. This is a bit difficult to understand but if you give it adequate time to sink in, it's simple.
The uniqueness of time dimension is that you can travel only forward in time, not backward. This fact has profound implications. It protects causality, that is the law of cause and effect. That is, cause should precede effect and it should not be the other way round. This irreversibility of time is inbuilt through the concept of entropy. If you study thermodynamics, you will come across the law that entropy or disorder in the universe always increases, never can it decrease. That is, a cup falling down and breaking can never be restored to the same condition, with every atom in place, as it was. For every system, disorder always increases. Entropy increase is unidirectional just as the unidirectionality of time. Thus it is no coincidence that the thermodynamically arrow of time and the arrow of time flow point in the same direction as they both preserve causality!
Creatures living in a two dimensional flat world will find it difficult to imagine what a three dimensional world would look like. Similarly, we, living in a world of three space dimensions find it impossible to imagine four dimensional spacetime! Still, through many indirect experimental tests the idea of four dimensional space time has been tested beyond doubt!
Concept of time as the fourth dimension is very subtle and elusive. I hope the time you have spent reading this article has made it a bit less mysterious now!
According to Einstein's Special Theory of Relativity, it is possible to go slower than light and faster than light, but it is impossible to go at the speed of light. Also, there is a particle called a tachyon which is supposed to go faster than light.
Tachyons are a putative class of particles which able to travel faster than the speed of light. Tachyons were first proposed by physicist Arnold Sommerfeld, and named by Gerald Feinberg. The word tachyon derives from the Greek
Tachyons appear to violate causality (the so-called causality problem), since they could be sent to the past under the assumption that the principle of special relativity is a true law of nature, thus generating a real unavoidable time paradox (Maiorino and Rodrigues 1999). Therefore, it seems unavoidable that if tachyons exist, the principle of special relativity must be false, and there exists a unique time order for all observers in the universe independent of their state of motion.
Tachyons can be assigned properties of normal matter such as spin, as well as an antiparticle (the antitachyon). And amazingly, modern presentations of tachyon theory actually allow tachyons to actually have real mass (Recami 1996).
It has been proposed that tachyons could be produced from high-energy particle collisions, and tachyon searches have been undertaken in cosmic rays. Cosmic rays hit the Earth's atmosphere with high energy (some of them with speed almost 99.99% of the speed of light) making several collisions with the molecules in the atmosphere. The particles made by this collision interact with the air, creating even more particles in a phenomenon known as a cosmic ray shower. In 1973, using a large collection of particle detectors, Philip Crough and Roger Clay identified a putative superluminal particle in an air shower, although this result has never been reproduced.
Why is Pi important?
Pi is perhaps the most important mathematical constant. It appears in various formulas throughout math and science in fields as diverse as physics, statistics, and sociology. Although pi is defined in terms of the geometry of a circle, most applications of this number do not directly involve circles.
Since ancient times, people have been fascinated by pi. This is hardly a surprise, since the circle is one of the most basic, but nevertheless fascinating, geometric figures. Pi is defined as the ratio of the circumference to the diameter of a circle. (Any circle will work, since all circles are similar.) Rounded to 10 decimal places, its value is 3.1415926536.
Part of what makes pi fascinating is that it appears in several other formulas involving circles or spheres. For instance, the area of a circle is equal to pi times the square of its radius. Further, the surface area of a sphere is equal to 4 pi times the square of its radius, and its volume is equal to 4/3 pi times the cube of its radius. In fact, the formulas for the content of all higher dimensional analogs of the sphere also involve pi.
As mentioned, pi also appears in many formulas not directly involving circles or spheres. For instance, the periods of all the trigonometric functions are either equal to pi or 2 pi. Although trig functions may be defined in terms of a circle, they are usually used in contexts not directly involving circles. Another place pi is widely used is in the normal distribution, which is commonly used in statistics, whose formula involves the square root of pi.
The computation of pi has a long and fascinating history. Some of the most elaborate mathematical methods have been used in devising various formulas for pi. By the late 19th century, its value had been computed by hand to several hundred decimal places. Since the dawn of the computer age in the mid-20th century, the number of calculated digits of pi has skyrocketed. Since 2002, its value has been known to over a trillion decimal places - enough to fill a large library!
Part of the reason some mathematicians are fascinated with calculating so many digits of pi is in order to look for patterns in its digits. So far, no obvious ones have been found. It has been conjectured that pi is a normal number, meaning that every finite pattern of digits in every base occurs infinitely often in pi with the same frequency which would be expected if the digits were random.
In 1995, an amazing formula was found for pi, which allows one to compute hexadecimal (base 16) digits of pi without having to compute any previous digits. This formula was used in 2000 to compute the quadrillionth (10^15th) hexadecimal digit of pi, which happens to be 0. Several similar formulas have since been discovered, some in other bases, but none in base 10 have yet been found.
Mr. Slxpluvs in Yahoo! Answers answers:
Pi is involved with the length of the diameter a circle and it's radius. It sounds like you're in geometry, where just about all pi does is figure out the area of a circle. Later, in calculus, pi is used to go between different types of coordinates (from the grids you're used to into a system of circles that all have the same center (concentric)). There are a lot of math problems that would be almost impossible without using pi.
This doesn't sound like something that you'd use in everyday life, but it might be important when talking to someone who does work with this sort of math. Lawyers, secretaries, scientists, doctors, electricians, plumbers, warehouse workers and many other professions have to deal with (and understand!) people who use pi in everyday work. In geometry class, it's not as important to build skills you plan to use, but to understand the language of the people who do use similar (but more complicated) skills.
Want to memorize Pi until 9th decimal place?
here’s a solution:
If you need to remember Pi, just count the letters in each word in the sentence: "May I have a large container of coffee?" If you get the coffee and say "Thank you," you get two more decimal places. [3.141592653...]
Yes, indeed. All you need is two vertical and one horizontal cuts:
