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Calculating the Fibonacci Sequence Is there a formula that can be used to calculate the nth Fibonacci number? For example, if we want to know the 100th Fibonacci number, do we have to count one by one? The answer to the first question is, "Yes, but ..." The answer to thesecond question is, "No." Now for the explanations! Sorry they areso long. The standard formula for the Fibonacci numbers is due to a Frenchmathematician named Binet. If F(n) represents the nth Fibonacci number, then: F(n) = (a^n - b^n)/(a - b) where a and b are the two roots of the quadratic equation x^2-x-1 =
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submitted by pirate1_from_jee (596 m) on 7 Jun 2007 11:08:06 IST (0 comments 55 views)
SIDE BENCH REAGENTS Ammonium acetate.Dissolve 231 g of the salt in 1 liter of water. (3M) Ammonium carbonate.The commercial salt is a mixture of bicarbonate and carbamate. Dissolve 192 g of the salt in a mixture of 140ml conc. ammonia solution and water to make up 1 liter of solution. (2M) Ammonium chloridedissolve 169 g of the salt in 1 liter of solution (3M). Ammonium nitratedissolve 80 g of the salt in 1 liter of water. (1M) Ammonium oxalatedissolve 71 g of the crystaline salt in 1 liter of water.(0.5M) Ammonium sulphatedissolve 132 g of the salt in 1 liter of water.(1M) Ammonium sulphideuse the yellow commercial product Ammonium thiocyanateDissolve38 g of
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submitted by pirate1_from_jee (596 m) on 7 Jun 2007 10:57:13 IST (0 comments 87 views)
Integration methods The following differential equation is going to be solved. (6.3) This differential equation is transformed into an algorithm-dependent finite difference equation by quantizing and replacing (6.4) by the following equation. (6.5) There are several linear single- and multi-step numerical integration methods available, each having advantages and disadvantages concerning aspects of stability and accuracy. Integration methods can also be classified into implicit and explicit methods. Explicit methods are inexpensive per step but limited in stability and therefore not used in the field of circuit simulation to obtain
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submitted by Ninjastorm (42 m) on 6 Jun 2007 01:37:55 IST (8 comments 205 views)
Hello friends, Attention tenth passed students. Here i got a cool idea or tip for your future education. After passing tenth , you can do the diploma course which is of 3 years duration.There are several branches to choose from : CSE,ELT,ELE,MECH,CIVIL,CHEM,etc... After passing diploma , you can get direct admission to the second year of btech programs through lateral entry! Thus for completing btech you will take only 3 years , i year saved. Besides that, in the, First Year: Basic subjects such as english,maths,applied science,engineering graphics (these are common to all branches) Second Year: Subjects related your branch of study T
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submitted by ckmr (369 m) on 5 Jun 2007 21:05:23 IST (13 comments 149 views)
hii friends... So, are you people all gathered to crack JEE .. ?? Well, as JEE is closing in I am sure many so you are tensed , some are nervous , some want to know how to score better .. and the list shall never end. Many of you keep asking me on my nudge-book ... well it is hard to reply there, so i have decided to post this article. Now, let me first all tell you as I always tell, do not think big of JEE. This is the mistake that many many people do and this """ BIGGG """ image of JEE kills people. Just take it easy, like any other exam it is also a exam where you are tested a bit more rigrously and the competition is a bit tough and thats it ..
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submitted by a4asd (310 m) on 6 Jun 2007 20:48:21 IST (1 comments 84 views)
NINE STEPS TO ACHIEVE YOUR GOAL 1. START WITH THE END IN MIND: The best way to set your goal is to visualize the end result you will achieve with your goal. Once your goal is achieved, what will you have? If your goal is to write a book, then you should end up with a professional looking book in your hand. If your goal is to make Rs 5,00,000 a year, then you will have that amount in sales at the end of the year. 2. BE SPECIFIC: Don't say 'I want to make more money in 2007.' Always make your goals specific. 'I want to make Rs 500,000 in sales from my Web site by December 31, 2007.' T
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submitted by a4asd (310 m) on 6 Jun 2007 20:57:55 IST (1 comments 84 views)
ROTATIONAL DYNAMICS FOR RIGID BODIES : Our strategy for solving problems in rotational dynamics is very similar for solving problems that involve Newton's SECOND LAW. IDENTIFY THE RELEVANT CONCEPTS: The equation z = Iz is useful whenever torques act on a rigid body - that is, whenever forces act on a rigid body in such a way as to change the state of the body's rotation. In some cases you may be able to use an energy approach. However, if the target variable is a force, a torque, an acceleration, angular acceleration, or an elapsed time, the approach using z = Iz is almost always the most efficient one. SET UP THE PROBLEM
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submitted by vasanth (2310 m) on 6 Jun 2007 22:37:57 IST (3 comments 282 views)
Doing Well in Calculus ยท Develop an effective and time-efficient homework/study strategy for, not only your calculus class, but other classes as well. This will help you become a more confident, successful, and well-rounded student. It will lead to a healthier balance between work time and leisure time. Spend at least two to four hours on each homework assignment. This affords you extra time to work on challenging homework problems and helps you organize your thoughts, questions, and ideas. The more time you spend on homework, the more likely you are to articulate clear, concise questions to your classmates and t
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submitted by pirate1_from_jee (596 m) on 6 Jun 2007 23:36:54 IST (1 comments 111 views)
1. Acetoacetic-Ester CondensationClaisen Condensation The Claisen Condensation between esters containing ?-hydrogens, promoted by a base such as sodium ethoxide, affords ?-ketoesters. The driving force is the formation of the stabilized anion of the ?-keto ester. If two different esters are used, an essentially statistical mixture of all four products is generally obtained, and the preparation does not have high synthetic utility. However, if one of the ester partners has enolizable ?-hydrogens and the other does not (e.g., aromatic esters or carbonates), the mixed reaction (or crossed Claisen) can be synthetically useful. If ketones or nitriles are used as the
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submitted by pirate1_from_jee (596 m) on 6 Jun 2007 23:24:02 IST (0 comments 92 views)
The man who wandered naked like a beast without any shelter eating uncooked flesh thousands of years ago , is today living in a palatial building , wearing polyster clothes , tasting thousands of varieties of dishes . The man who had to trek the wild wild lands bare footed in stone age , is now travelling at speeds of thousands of kilometres in supersonic planes . He could land on the moon , look far into the galaxies of stars and examine deep into the atom . His vision and understanding of this universe is expanding day by day and his life is becoming comfortable Since the beginning , man had been living through wonders of nature-sunrise , suns
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submitted by dimpy (4 m) on 6 Jun 2007 21:58:22 IST (2 comments 40 views)
Temperal Balance Keep your cool during the paper. If you feel you are getting flustered, close your eyes for some time to regain your composure and concentration. Keep yourself in a cheerful and positive mood. If you feel tension rising during the paper, take deep breaths to release tension. Do not get demotivated or overexcited on seeing the question paper. Keep your balance. Demotivation will make even easy questions appear tough and overconfidence will make you commit silly mistakes. Do not get depressed by tough questions. Instead remind yourself that these questions are tough for every aspirant. Do not get emotionally attached to any question
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submitted by a4asd (310 m) on 6 Jun 2007 21:01:26 IST (1 comments 410 views)
Look at the image below. The Question: How many black dots can you find in the image? Note that the image is static (i.e. it is not changing); i am not fooling you!
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submitted by Urva (187 m) on 6 Jun 2007 12:58:38 IST (3 comments 110 views)
friends, we all know tomorrow is the judgement day. the day when u may or may not begin writing ur name with the word iit.but dont need to worry because bits is there ,aieee is there ,dce is there. lekin at the corner of ur heart u admit to urself that agar iit hota to baat kuch aur hi hoti.every one of us wants to be called an iitian. its like a dream for us to be a iitian.but for many it is not. we all know it is one of the biggest battle in the world. in fact there is a huge demand of iitians in the world market.
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submitted by DONRAJA (39 m) on 29 May 2007 10:13:09 IST (11 comments 281 views)
Consider the figures below. Both triangular figures have been built up from the same four parts. The parts with the same color have exactly the same shape and size! They are only moved around, which resulted in an appearing area in the lower figure, marked with a question mark ('?'). The Question: Where does the '?' hole come from?
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submitted by Urva (187 m) on 4 Jun 2007 17:05:58 IST (6 comments 87 views)
Some Essential Books!!! PHYSICS Concepts in Physics: HC Verma Problems in General Physics: I.E. Irodov Physics Part I and II : Resnick and Halliday the Arihant series is cool!! TMH is gud 4 problems go 4 certain University level books too University Physics : Sears and Zemansky is good CHEMISTRY R C Mukherjee is a must hav Krishna's IIT chem is a gud option Dinesh's Objective ques is gud Universuty Chemistry : Bruce H.Mahan (Addison - Wesley) University Chemistry by CNR Rao(Macmillan)... essential 4 good rank Physical Chemistry : Glasstone and Lewis
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submitted by anjansarkar.1 (10 m) on 5 Jun 2007 22:21:45 IST (1 comments 127 views)
X-RAYS X-rays are a type of electromagnetic radiation with wavelengths of around 10-10 meters. When medical X-rays are being produced, a thin metallic sheet is placed between the emitter and the target, effectively filtering out the lower energy (soft) X-rays. This is often placed close to the window of the X-ray tube. The resultant X-ray is said to be hard. Soft X-rays overlap the range of extreme ultraviolet. The frequency of hard X-rays is higher than that of soft X-rays, and the wavelength is shorter. Hard X-rays overlap the range of "long"-wavelength (lower energy) gamma rays, however the distinction between the two terms depends on the source of the
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submitted by akshaybansal (312 m) on 5 Jun 2007 21:43:42 IST (0 comments 93 views)
AIEEE Colleges and Institutes : Institutions Branch Codes Total Seats Remarks A. National Institute of Technology Allahabad CIV CSE ELE ELN ITY MEC PIE 452 Bhopal ARC CIV CSE ELE ECE ITY MEC 442 Cailcut ARC CIV CSE EEE ECE MEC PRO 372 Durgapur CHE CIV CSE ELE ECE ITY MEC MET 429 Hamirpur ARC CIV CSE ELE ECE MEC 240 Jaipur ARC CHE CIV COE ELE ECE ITY MEC MET 460 Jalandhar CBE CIV CSE ECE IND ICE LTE MEC TEX 345 Jamshedpur CIV CSE ELE ELN MEC MEM PEM 302 Kurukshetra CIV COE ELE ECE MEC 327 Nagpur ARC CIV CSE ELE ECE MEC MET MIN 355 Patna ARC CIV CSE ELE ECE ITY MEC 380 Rourkela CER CHE CIV CSE EIE ELE MEC MET MIN 352 Silchar CIV CSE ELE ETE MEC 220
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