FactzHub

Let's start with a game. Think of a positive number (say n). If it is even then replace it with it's half (n/2). If it's odd then replace it with three times of itself plus one (3n+1). for e.g., let's take 15. since its odd, so it becomes 15*3+1 i.e., 46 now 46 changes to 46/2 i.e., 23 agin 23 changes to 23*3+1 i.e., 70 continuing this we get a sereis.... 15,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1.....---> so this continues. You would be thinking, this is not hard.....Beacause it's not the problem. The problem is that if you start with any of the positive number eventually it ends up with 1. Try with some numbers like 11 - 11,34,17,52,26,13,40,20,10,5,16,8,4,2,1 7 - 7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1 13 - 13,40,20,10,5,16,8,4,2,1 This problem drives mathematicians crazy because there don't seems to be any clear pattern. There are certain amazing numbers like 8192 that collapse down to 1 very quickly i.e in only 13 step...

Hey, there's no problem in this universe which had no solution. The need is to just nicely analyse the problem and approach to the solution in the right way. The "Putnam competion" is one of the toughest exam based on maths problems. It is a six hour long test and have just 12 questions each of 10 marks. It's difficulty level could be understood by seeing the median marks of student appearing in this test that is 1 or 2 out of 120. hence it is a pretty hard test. The hardness level of problem goes on incresing as you go from question 1 to 6. It means the sixth question is the hardest. Here I am going to share a problem which came in a while back in this exam and it was the sixth problem. Q. If you choose four random points on a sphere, and consider a tetrahedron with those points as its vertices, what is the probability that the centre of the sphere is inside the tetrahedron? You should try this question once yourself. And if you got stuck on it, then here...

This is a new technique in feild of science. It will help to detect and identifu=y the hidden objects around the corners. It uses a laser which strickes on the adjacent wall and reflects back to hit the object and again reflects backs from objects and after some further reflections reaches some of the scattered laser light. A special camera detects the time difference between all the scattered reflected particles and accordingly sends data to the computer. The computers algorithm retreives the data and constructs a 3-D image of object. Here's a video, this will wxplain you everything.  Thank you.

I’ll give you the short, and mildly incorrect, answer first: Silver is the brightest metal. Silver has been revered for thousands of years for its brightness. It is used to make the finest mirrors, though it must be covered with glass because it tarnishes quickly in the presence of oxygen. For a slightly longer answer… By “brightest,” you’re likely asking which metal reflects the most visible light. This is measured scientifically through a property called  Reflectance . Reflectance measures the effectiveness of a material of reflecting radiant energy. As you might know, radiant energy exists on a broad spectrum, only a tiiiiiiiiny portion of which is visible. This area, between about 390 nanometers and 700–750 nm, is known as the  visible spectrum . I bring this up because the Reflectance of a material depends upon the wavelength of the energy it’s reflecting. By looking at this chart on the Reflenctance of Gold (Au), Silver (Ag) and Aluminum (Al), you...

Well!! Im from India. Let me tell you some of the unknown facts about India. Algebra, trigonometry, zero, integral and differential calculas were orginally from India. Chess was orginated in India. Indians invented shampoo. Flush toilets using water are found in several houses of the cities of Mohenjodaro and Harappa from the 3rd millennium B.C Crescograph, a device for measuring growth in plants was invented by an Indian. Kabaddi was orginated in India. Rulers were first used by the Indus Valley Civilization prior to 1500 BCE. Snakes and ladders was orginated in India. Fibonacci numbers, quadratic formulas and decimal system were invented in India. Catract surgery was first performed in India. The discovery of lunar water is attributed to the Chandrayaan mission by India. Ayurveda and Siddha are ancient and traditional systems of medicine originated in India.

You will never look at a deck of cards the same way after reading this. How many ways can a deck of cards be arranged? Any mathematician will tell you that it’s a simple calculation - the answer is  52 ! But how big is this number  really ? 52 Factorial  has found a creative way to visualize this number. I have simplified it for better readability. Set a timer so that it would take  52 ! 52 !  seconds for it to reach 0. Choose any spot on the equator. You have to walk around the Earth along the equator. But there’s a the catch — you can only take one step every billion years. (Did I leave the stove on?) After you complete one journey around the equator and reach the point where you started, remove one drop of water from the Pacific Ocean. (No peeking at the timer!) Now repeat the whole process — walk around the Earth at one billion years per step, removing one drop of water from the Pacific Ocean every time you circle the globe. Con...

Aerogel  Aerogels are the world's lightest solid materials, composed of up to 99.98% air by volume.  Despite the name, aerogels are solid, rigid, and dry materials that do not resemble a gel in their physical properties: the name comes from the fact that they are made  from  gels. Pressing softly on an aerogel typically does not leave even a minor mark; pressing more firmly will leave a permanent depression. Pressing extremely firmly will cause a catastrophic breakdown in the sparse structure, causing it to shatter like glass (a property known as  friability ), although more modern variations do not suffer from this. Despite the fact that it is prone to shattering, it is very strong structurally. Its impressive load bearing abilities are due to the  dendritic  microstructure, in which  spherical  particles of average size (2–5  nm ) are fused together into clusters. These clusters form a three-dimensional highly  porous  ...

This is a place where I will post things which will help you at some moment of your life. Some of the things might appear obvious to you but it would be helpful for others in some way. So please visit this blog again and again......  : )