CHAPTER 1
In modern world of technological advancement, there are a lot of applications that are used every day. For example, an airplane relies on Bernoulli’s Principle to generate lift on its wings. Rare cars employ the velocity and pressure dynamics specified by Bernoulli’s Principle to keep their rare wheels on the ground, even while zooming off at high speed. It is successfully employed in mechanism like the carburetor and the atomizer.

The study focuses on Bernoulli’s Theorem in Fluid Application. A fluid is any substance which when acted upon by a shear force, however small, cause a continuous or unlimited deformation, but at a rate proportional to the applied force. As a matter of fact, if a fluid is moving horizontally along a streamline, the increase in speed can be explained due the fluid that moves from a region of high pressure to a lower pressure region and so with the inverse condition with the decrease in speed.

Bernoulli’s Principle complies with the principle of conservation of energy. In a steady Flow, at all points of the streamline of a flowing fluid is the sum of all forms of mechanical energy along a streamline. It was first derived by the Swiss Mathematician Daniel Bernoulli; the theorem states that when a fluid flows from one place to another without friction, its total energy (kinetic+ potential+ pressure) remains constant.

Many of schools, academies or universities cannot provide their student an equipment which can help them in understanding fluid dynamics. They don’t have a “hands on” environment which can develop their knowledge and theoretical concepts.

Our Bernoulli’s Apparatus which is an instructional material purposes will provide for those interested viewer and learners a demonstration of related Bernoulli’s Theorem takes into effect.
Our research topic is available in any related articles or references. We have uncounted number of books and internet site shows a situation of more innovative projects.

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The Bernoulli brothers were two outstanding mathematicians of the late 17th century and early 18th century. They were born in Basel, Switzerland and both graduated from Basel University. The elder brother, Jacob was offered a job as a professor at the university and Johann asked him to teach him mathematics. Their rivalry was born soon after and it is hard to tell whether or not it contributed to their success or not. They established an early correspondence...

...Exposition of a New Theory on the Measurement of Risk
Daniel Bernoulli
Econometrica, Vol. 22, No. 1. (Jan., 1954), pp. 23-36.
Stable URL:
http://links.jstor.org/sici?sici=0012-9682%28195401%2922%3A1%3C23%3AEOANTO%3E2.0.CO%3B2-X
Econometrica is currently published by The Econometric Society.
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at
http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of...

...The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many contributions to mathematics although some of them may have actually been the work of his students.
The Pythagorean Theorem is...

...Historical Account:
Pythagoras, the namesake and supposed discoverer of the Pythagorean Theorem, was born on the Greek island of Samos in the early in the late 6th century. Not much is known about his early years of life, however, we do know that Pythagoras traveled through Egypt in the attempt to learn more about mathematics.
Besides his famous theorem, Pythagoras gained fame for founding a group, the Brotherhood of Pythagoreans, which was dedicated solely...

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Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two...

...Binomial, Bernoulli and Poisson Distributions
The Binomial, Bernoulli and Poisson distributions are discrete probability distributions in which the values that might be observed are restricted to being within a pre-defined list of possible values. This list has either a finite number of members, or at most is countable.
* Binomial distribution
In many cases, it is appropriate to summarize a group of independent observations by the number of observations...

...theoremsThe Sylow Theorems
Here is my version of the proof of the Sylow theorems. It is the result of
taking the proof in Gallian and trying to make it as digestible as possible. In
particular, I tried to break the long proof into bite-sized pieces. The main
goal here is to convey an overview of how the ingredients fit together, so I'll
skip lightly over some of the details.
The prerequisites are basically all of the group theory that came before the...

...BINOMIAL THEOREM :
AKSHAY MISHRA
XI A , K V 2 , GWALIOR
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power (x + y)n into a sum involving terms of the form axbyc, where the coefficient of each term is a positive integer, and the sum of the exponents of x and y in each term is n. For example: The coefficients appearing in the binomial...