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Hello All, Few days back I had posted a blog here about Vedic Maths (speed mathematics). Being a instructor of this course I would like to aware U all about this ancient concepts of mathematics. Many members in this group might be already knowing it but still m posting new forum to aware those who still practice the 'traditional school methods'. Visit my blog & let me know Ur views. http://blog.chess.com/amitprabhale/vedic-mathematics-speed-arithmetic

: We start with DEFINITIONS.Nothing; nothing is exactly that, nothing. No time, no space, no rates of change, no quantum flux, no probabilities, no anything. Nothing may be a point or infinite, but not a space because we would have jumped right over 1 and 2 dimensional nothings. Nothing can not create anything. If it exist, it can not then not exist. Nothing can not change with respect to anything.Time; (small t ), a one dimensional parameter used in math and physics that extends to infinity and beyond in both directions. Time is continuous. It's value is determined by the differences between two time events. It has no rates of change with respect to any other varable. No rate of change of the rates and it's rate is 1 with respect to itself at all times. It is not a particle and has no energy. Time can not have started or stopped or it would not be continuous at that point or the next. All other varables have 1st, 2nd, 3rd, etc. rates of change with respect to time. Point; points are considered to be continuous. Points may be different from each other or may be the same. Points in 0,1,2,3 or 4 dimensional space are all different. There are no points next to the one in a 0 dimensional space. And only two next to any in a 1 dimensional space. In a cube we may add an finite number of line segments or planes, each full of points (1D, 2D), and the cube is still empty. But we can not add one more 3 dimensional point. We may pour an infinite number of points into a cube and they all end up at the same point (all 3D). For points to fill the cube they NEED a line segment. That segment is the distance between one point and any reference point. Without the three dimensional line segement with each point, we can not fill the space. So points in a any space, except zero, do not exist without a line segment. BOTH are needed.Space; space is undefined. It may be finite, infinite, here before timed started, start from nothing, curved, able to double, move matter or not, full of universes, create matter with negitive energy, limit speed, even multiple spaces, etc. etc. Space is completely undefined. These are not my definitions for nothing, time, points or space. They are what I assume other people will understand if I use these words. You may change them any way you like. I assume the first three "things" do not exist, and space has no listed properties from above. Now my definitions. We will use a general rule to help us stay on track as we start. Nature is simple. If we must make a choice between options, we will chose the simplest and continue. Since we assume nothing, time and points do not exist and space is a question, as defined above, what does exist ? If these have a property in common, that property must be wrong. One property is that they are all continuous. If length and time are not continuous then all the math in the physics we now know is wrong, some good approximations, but wrong. If nothing does not exist, what can the next "bigger" thing to nothing be ? Assume nothing can accumulate something, Time(T), which is not passing, or unused time. A nothing which can accumulate unused time and the amount of that accumulation is zero, is pretty close to nothing. No TIME is passing in terms of small t (time). We will call this nothing a Zero dimensional degree of freedom universe or Zu. A place where unused Time accumulations and keeps getting bigger and bigger. In terms of places we already know , think of it as the place where borrow energy comes from and returns to and is always here. TIME (T) is discrete. Here are two examples to help understand discrete Time. One: consider a movie. Here each frame has stopped time. Nothing is in motion, yet the movie seems real. If we use a high speed camera, we can study things we would never see without one. Now think of a super high speed camera. Here each frame has captured a photon. The photon is moving the lenght of the frame, Plancks lenght, 1.6x10**-35 m between each frame. The time between frames is Plancks time, 5.4x10**-44 s. This is nature, this is how Time ticks and photons move when the photon stands still in each frame. If we take frames 10 times faster, the photon will not move for 9 of them and then "jump" to the next frame. This is why C exist and is the value C. C is not a maximum velocity, it is for real photons. Two: assume time is continuous. Construct a small unit of time, a tenth of a nanosecond, (10**-10 sec.). Now fill the universe with zeros and place all behind the zero in the exponent. This is a "FLICK". What must happen in a flick. Every particle must move "properly". To do that each particle must be paired with all others in the universe and each must "fit" all the laws of nature.. That is a very little amount of time to do that and it must be done very many times per second. One may say nature does that. Take all the zeros in the exponent and copy them in place of the zero in the base, this is a "small flick". Now nature must figure out how each pair moves again, and if there are multiuniverses, how all those pairs move too. All that in LESS TIME AND MORE TIMES PER SECOND. One may still say nature can do that. Next step, double all the zeros. Inflation doubles space 100 times, we are only doubling zeros, much easier. Double 100 times, that is a "VERY SMALL FLICK. The problem is much worse, and we haven't even started doubling zeros. If one assumes nature does not use time to figure out how a particle moves then one would know the outcome of the Big Bang before it even started. The result of this logic is that particles do not see into the furture, they ONLY KNOW NOW. Bye, bye Quantum Mechanics. The second mode of time is used time, a Tidom. A tidom is a preon which builds elementary particles. All elementary particles are built from three tidoms and only tidoms, even mass and space, all exist within Zu. Mass is a form of energy, energy is a form of time. A tidom is time, changing over a distance, momentum. Momentum is more fundamental than time or distance, one does not exist with out the other. Think of time at point P=A and T=1, it then jumps, changes to P=B at T=2 and back again to P=A at T=3; this is a tidom. It is a time cycle. The length (L) is the distance between A and B. The time passed is the difference between T=1 and 2 or 2 and 3. The time did not move between A and B, and there are no values of time between T=1 and 2 or 2 and 3. The length L is discrete, it is not subdivided. There are no values of x within L. The length was in 1 dimension and time is a property of that length. Nature is simple, tidoms are simple.A second look at a Tidom: If a POINT does not exist, what is the next "bigger" thing that does exist. This will build the universe and every thing in it. It is a preon, that which builds all elementary particles. Start with a point, in math, (x,y,z,t) as used in Special Relativity. However we see that If two references are moving the value of time (t) is determined from the dimension in motion, which implies that if x, the property, t for y,z and x are not independent of each other. So the point we will start with is (x,y,z) with times (tx,ty and tz), or three independent times. Now we need something " bigger". If the value of x in a point is a single value, then to be bigger we need x to be a line segment, (Lx) with its own time (tx). This is a TIdom. a time degree of freedom. The tidom is the line segment with its own time. Both the line segment and time are discrete. (L,T)x. For now, Planck's length and time. We CAN NOT have one without the other. We saw that points need a line segment. Time and Length are two different properties of the same thing, of a Tidom, both are always together. We need to start again at 3 diferent places. When Time first started, because we need to know what was here before any Big Bang (BB). When Time started at this BB, because it will help to understand first particles. What are the properties of a Tidom, because they build particles which then build systems of particles which we see. These 3 are related and thus necessary to each other, we will cover a little of each first. Hopefully ending with a followup explanation later. Start with small t, time in both directions. At some time in the past there was no Time in Zu. There was a Zu. Now unused Time starts to accumulate. No Time is passing so this period of Time is zero, but not necessarly from its point of view. And the amount of unused Time accumulated may be very different from the amount of time (t) that passes. On the far side of this start time; using t, only Time could have existed. This cycle of unused Time starting and ending with zero unused time could have repeated may times. But none of the cycles are infinite, because if one can not get from here back an infinite time, then time from there can not get here. There is a reason for Time starting, so that Time can stop. Remember if time is the only thing in this universe and you think, than time thinks. That's as much as I can say at this time about the start of Time. We now have unused Time accumulating in Zu. The unused Time is one of two modes of Time, the other is used Time or virbating Time, or Time that changes values. As unused Time accumulates, it reaches an amount which will change states to the other mode, used Time, or virbating Time. This creates a particle in Zu. When all the accumulated Time changes modes, the unsued accumulated amount is zero and the virbrating Time is now a particle in Zu. The first Big Bang was very small compared to ours. At some time later all the vibrating Time will stop vibrating and all that stopped Time is now unsued Time in Zu again. It is still later, more unused Time is in Zu than at the time of the first Bang, because there was another period of unsued Time accumulating, some of the used Time was "lost" to make Time tick, but the total is more and we have a second bigger BB. The physics between the two Bangs is different. The reason is that we started with nothing, added the start of Time and the reason for doing that. If you have nothing, add Time, the only reason possibility is to stop time. To do that all vibrating Time most return as unused Time and in Zu. However that does not stop Time, it only keeps it from changing. To have no Time you need to use up both modes of Time completely. Since the first BB did not do this, the laws of physics change. The evolution of the laws is like any evolution. The laws optimize over some parameter, in this case , each or both R and C. The optimization is to have ALL amounts of Time used up at the same moment. We see a universe that keep going longer and longer as we have BB after BB, each lasting longer. while Time vibrates it uses itself up, that Time is not conserved, it's gone. The Time in our universe is all from previous unused time that accumulated. All the time our universe existed , the current time was accumulating in Zu. Thus the particles must use more time than is accumulating for it all to be used up at one moment. Real Photons are a clear and easy example of this. Now lets jump to Tidoms and start physics.

I need help on S1 with regression lines. Can someone explain them to me?

I've learned before that integrals such as int(sec^4)xdx or (sec^2)x(tan^2)xdx have solutions that, while not completely obvious, can be solved with a number of u substitutions and/or integration by parts. But how about integrals of trigonometric functions raised to arbitrarily large exponents, like (sec^18)x(cot^5)xdx?

Today is Srinivasa Ramanujan's 123rd birthday. Let us wish him. He was one of the unforgettable mathematician, who served for number theory. Let us remember him on this day.

Is there a trick to factoring the quadratic: ax(to the power of four) + bx³ + cx² + dx + e My actual problem is: z^4 + 2z^3 - 4z^2 - 2z + 3. All help appreaciated! :)

Are there integers a,n such that 15a = 1 + 651n? If so, specify them. Same question for integers b,m such that 16b = 1 + 651m.

A machine processing pizzas in a factory puts the following ingredients on top of the pizza in this order. canadanian bacon to every 8th pizza, pieces of pineapple on every 9th pizza, and green pepers to every 12th pizza. Since it was turned on at the beginning of the week, the machine has processed 100,000 pizzas. (1)How many pizzas have all the toppings? (2)How many pizzas have the toppings of canadanion bacon and green pepers without pineapple pieces? Very basic, solve and post. first person to solve (WITH EQUESTION) will get a fun trofhy of his or her choice.

Pretend you have a regular 52 card deck. you flip a card if it isn't an ace go on. flip another card if it isn't a 2 then keep going. you keep doing this A-K 4 times. What is the probability of completion before starting? i'll give a great student trophy for the first to give me the exact answer.

I don't know if it is just me missing something really obvious or not, but how do I derive 960? Can someone please explain how we get 960? Thank you.

A lion takes 5 hours to eat 1 sheep. A leopard takes 6 hours to eat 1 sheep. A cheetah takes 7 hours to eat 1 sheep. Assuming that the lion, leopard and the cheetah were friends, how much time would it take to eat 1 sheep.

Once there was a club of mathmaticians who used secret codes to identify their members and let them into the club.. the procedure was this... Any one who wanted to enter into the club had to tap the door , then the door keeper inside the club would tell them a NUMBER and the person outside the club had to answer a NUMBER. If the answer was correct the keeper would open the door. A boy was very desperate to get in to the club so he planned to watch the people entering the club standing out side it. As he was standing ,two men got into the club . . the conversation was this..... Man1 taps the door.. Question: 6 Answer : 3 he was let inside... Man2 taps the door.. Question: 12 Answer : 6 he was also let inside... the boy thought he has figured it out and taps the door.... Question: 10 Answer : 5 THE BOY WAS NOT ALLOWED INSIDE....! WHERE DID THE BOY GO WRONG ...? can you break the code and help the poor little boy...? PS: 10 points to the one who solves this first..

Find the fifth term in the innocent looking sequence: 1,4,9,16, besides 25. List your sequence generally. "I'm not that innocent."

A bag contains 3 white caps and 2 black caps .. A teacher asks three students to stand behind one another.. suppose 'B' stands behind 'A' , and 'C' stands behind 'B'.... the teacher asks the students to pick a cap randomly from the bag and put it on their head ( the students don't know which cap they are picking) and announces a prize to the one who tells which coloured cap they are wearing... now 'C' and 'B' don't know which coloured caps they are having and they don't answer to the Teachers question .... but 'A' answers it and wins the prize....? which cap did "A" had...?

Which among the following statements is TRUE....? 1) 1 of these statements is NOT TRUE.. 2) 2 of these statements are NOT TRUE.. 3) 3 of these statements are NOT TRUE.. 4) 4 of these statements are NOT TRUE.. 5) 5 of these statements are NOT TRUE.. 6) 6 of these statements are NOT TRUE.. 7) 7 of these statements are NOT TRUE.. 8) 8 of these statements are NOT TRUE.. 9) 9 of these statements are NOT TRUE.. 10) 10 of these statements are NOT TRUE..

We have a chess board (64 squares) and 21 triominos (63 squares, the triominos has the "I" shape). It is possible to cover the chess board with all the triominos, meaning only one square will be uncovered. Prove that this square is always one of the red squares: EDIT: Just to make things clear, these are triominos: http://upload.wikimedia.org/wikipedia/commons/2/22/Trominoes.svg The shape we are using is the left one.

A cubic object 3"X3"X3 is painted blue on the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1"X1"X1, how many 1" do have any painted surfaces.? 15 points.

A farmer bought some mules at Rs.50 each, sheep at Rs.40 each,goats at Rs.25 each, and pigs at rs.10 each. The average price of the animals per head worked to Rs.30. How many animals of each kind did he buy?? NOTE-Rs is nothing but Indian currency. Get 15 points.!!

Thanks for having me! First of all, for those interested, there is another serious (but fun!) math group you can join with cool pics, great forum discussion, weekly movies, vote chess, and team matches: http://www.chess.com/groups/home/the-emperors-newest-minds Now for my math questions (I do not yet know the answer to these!): 1. What is the difference between the monad and galaxy of a hyperreal number? 2. How do I determine the monad and galaxy of a given hyperreal number or 0?

Using substitution solve the following simultaneous equation: 20x - 40y = 0 x + y = 13.5 You must show all your working.