An analysis of pascals triangle in mathematics

June 17,

An analysis of pascals triangle in mathematics

I miss you terribly. The time has come to put ourselves in an orbit around Io, which is where Discovery is. We don't have enough fuel to slow ourselves down, so we are about to use a technique called aerobraking. The theory is, we will enter the outer layer of Jupiter's atmosphere using what is called a "ballute" for a shield.

The atmosphere will slow us down, and Jupiter's gravity will grab hold of us and slingshot us around behind the dark side. If all goes well, we'll wind up in a gentle orbit around Io.

An analysis of pascals triangle in mathematics

It's dynamite on paper. Of course the people who came up with the numbers on the paper aren't here. Since no one has ever done this before, everyone up here is as scared as I am.

The difference is, they're busy. I have nothing to do but wait for it to happen. I hope this is all worth it. Magnetohydrodynamic Aerobraking There is some current research into magneto-hydrodynamic force fields as heat shields.

The advantage is you do not have to replace a physical burnt-out heat shield like the Space Shuttle requiredsince it is composed of renewable force fields instead of matter. Disadvantages include the fact that they require electrical power, and that they only work at large velocities.

However the latter drawback is not as bad as it seeems. A MHD heat shield can reduce the spacecraft's velocity to the point where a ceramic heat shield can manage the rest of the landing.

And ceramic shields do not have to be replaced after each landing.

Finding Sequences

You can read more about it here. The research I am referring to is focused on exploiting Magneto-hydrodynamic forces to manipulate weakly-ionized plasmas caused by hypersonic flight in rarefied flows—ie using magnets to shove around the hot flamey stuff caused by slamming into the thin air above us at crazy-high speeds.

This may be yet another niche technology that while somewhat interesting, ends up not being all that useful. But it looks at least possible that this may become a game changing technology in many space transportation fields.

Some Background on MHD Aerobraking and Thermal Protection The basic concept behind MHD Thermal Protection is that during hypersonic flight, above about Mach 12, the shockwave formed in front of a blunt-bodied vehicle reaches a high enough temperature to form a weakly ionized plasma that is conductive enough to be manipulated by strong magnetic fields.There was a great mathematician in India who lived in the 10th century CE, He was Bhaskaracharya.

He wrote several pioneering treatises (in Sanskrit) on Vedic mathematics. Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation.

Parameters: Level of difficulty of equations to solve and type of problem. In physics, a wave is a disturbance that transfers energy through matter or space, with little or no associated mass transport.

Interactivate: Activities

Waves consist of oscillations or vibrations of a physical medium or a field, around relatively fixed the perspective of mathematics, waves, as functions of time and space, are a class of signals.. There are two main types of waves: mechanical and. Pascal's Triangle. Alright, so maybe you don't like formulas.

There's yet another way to find the binomial coefficients. Have you ever heard of Pascal's triangle?This is the array of numbers. Words in science are often used in different ways from ordinary English.

An analysis of pascals triangle in mathematics

Completely different meanings even occur in different branches of physiology, e.g. for the word "accommodation". Pascal's Triangle. One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).

To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.

Pascal's Triangle -- from Wolfram MathWorld