Math Homework Help

U.S. scientists, taking a tip from Star Trek, have used nanotechnology to create a theoretical optical “cloaking” device that can make objects invisible.
The Purdue University engineers, following mathematical guidelines devised by British physicists, created the theoretical device that can render objects invisible by guiding light around anything placed inside the “cloak.”
The design uses an array of tiny needles radiating outward from a central spoke. The device would bend light around the object being cloaked. Background objects would be visible, but not the object surrounded by the cylindrical array of nano-needles, said Vladimir Shalaev, a professor of electrical and computer engineering.
The design does, however, have a major limitation: It works only for any single wavelength, and not for the entire frequency range of the visible spectrum, Shalaev said.
“But this is a first design step toward creating an optical cloaking device that might work for all wavelengths of visible light,” he said.
The research is detailed in a paper appearing this month in the journal Nature Photonics.

Copyright 2007 by United Press International. All Rights Reserved.

Ref: science daily

Can you find the biggest number you can make with three 3s?

Before we try to understand the concept of meaningful learning, it will be better here to know what learning stands for. according to R.S Wood worth “an activity may be called learning in so far it develops the individual in any way good or bad and makes his environment and experiences different from what it would otherwise have been”.

Learning can produce both good and bad developments in the learner. But the learner, hie parents, his teachers and the society in general want the process of learning to lead to good results and healthy outcomes.
Meaningful learning is therefore that learning which is oriented towards good experiences and outcomes. In it there is no place for meaningless and harmful experiences. It must ensure positive results. It is constructive, productive, purposeful and progressive in nature.

Meaningful learning in mathematics can consist of the mathematical experiences of the following nature;-

1. Which are helpful in mental, emotional and social development.
2. which have utilitarian, practical and behavioral values.
3. Which are useful in learning higher and advanced aspects of the subject.
4. Which are helpful in the proper learning of other subjects and activities of the curriculum.
5. Which stimulate and maintain interest in the subject.

Applied mathematics is the application of pure mathematics in the service of a given purpose. It has some direct or practical application to objects and happenings in the material world. It plays a great role in the development of various subjects. Every discovery in science owes much to applied mathematics. Principles of applied mathematics have been useful in the investigation of such phenomenon as heat , sound, light, optics,navigation and astronomy. applied mathematics is a part of mathematics definitely related to or suggested by some tangible situations, though not always intended for practical use. It is the connecting link between pure mathematics on one side, physical, biological, social sciences and technology on the other.

Pure mathematics involves systematic and deductive reasoning. It treats only theories and principles without regard to their application to concrete things. It is developed on an abstract, self contained basis without any regard to any possible kind of practical applications that may follow. It consists of all those assertions as that if such and such proposition is true of anything,such and such another proportion is true of that thing.

The notion of limit is one of the most basic and powerful concepts in all of mathematics. Differentiation and Integration, which comprise the core of study in calculus, are both products of the limit. The concept of limit is the foundation stone of calculus and as such is the basis of all that follows it. It is extremely important that you get a good understanding of the notion of limit of a function if you have a desire to fully understand calculus at the entry level.

You can find some basic results on limits here

I met a girl some days before when I was walking through a park with my children. My children and she became friends and started playing together. I decided to talk to her and during the conversation I asked her age. The smart girl replied, Two days back I was ten years old, and next year I shall be 13. If you know what is taday, you will be able to figure out my age!!!

It took some time for me to calculate her age. What about you?

Solution
The date on which I met the girl was 1st January 2007. The girl’s birthday was on 31st December 1995. So The girl was 11 years old on the date I met her.

Today I have launched a new math help website.

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I will add some basic math topics later.

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