Your Attitude is your Altitude
Apple Inc.
“Here's to the crazy ones. The misfits. The rebels. The troublemakers. The round pegs in the square holes. The ones who see things differently. They're not fond of rules. And they have no respect for the status quo. You can quote them, disagree with them, glorify or vilify them. About the only thing you can't do is ignore them. Because they change things. They push the human race forward. And while some may see them as the crazy ones, we see genius. Because the people who are crazy enough to think they can change the world, are the ones who do.”
Think different.
Your time is limited, so don't waste it living someone else's life. Don't be trapped by dogma - which is living with the results of other people's thinking. Don't let the noise of others' opinions drown out your own inner voice. And most important, have the courage to follow your heart and intuition.
The Exponential Signal
The exponential signal is the breeze among signals that appeals us most. It is everlasting, but bounded. That means it is an energy signal.
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It is the natural response of a Linear Time Invariant System, which again is the most beautiful system to look at. Possessing a transfer function and obeying superposition, this system is like a straight forward person. Eigen functions ( Natural responses) ofLTI systems are complex exponential signals. Complex exponential s are the most general exponential s of the form e(σ+jω)t . If the real part is absent, it is an everlasting periodic signal of constant amplitude. Two such signals, the positive rotating and negative rotating combine to form the real everlasting sinusoidal signal which is called the harmonic signal, true to the harmony such signals generate in our hearts. Sum of such sinusoids of many harmonics build up all musical tones, all repetitive signals. So the music in our lives has the roots at the exponential signal.
With a real part which is negative also combined, the sinusoid is exponentially decayed, reducing to 36.8% of it’s initial value in one time constant, given by 1/σ in the above equation, emphasizing again the fact that σ is negative. Obviously, if σ is positive, the signal grows without bounds, and so is useless from our point of view. Unbounded outputs from a system which have bounded inputs applied to them makes the system unstable and hence useless.
If we plot the poles of the transfer function of an LTI system, in the complex ‘s’ plane, we get all the information about the natural, exponential responses of the LTI system. The damped harmonic frequencies of such systems and the rate at which they diminish are known. The inverse of the x- coordinate distance to the pole is the time constant of that frequency or ‘mode’.
The Laplace Transform and the Fourier Transform tools help us to understand the modes of the system, hence enabling us to determine what tunes or exponential modes are natural to the system.
By
Professor P. Dinakaran
A mind without fear.....
Where knowledge is free
Where the world has not been broken up into fragments
By narrow domestic walls
Where words come out from the depth of truth
Where tireless striving stretches its arms towards perfection
Where the clear stream of reason has not lost its way
Into the dreary desert sand of dead habit
Where the mind is led forward by thee
Into ever-widening thought and action
Into that heaven of freedom, my Father, let my country awake.
NEVER NEVER NEVER GIVE UP.....!!!
Regardless of what other people think, if you have an idea that you truly believe in, don’t give up on it just because they tell you to. People are slow to accept change and new ideas can often seem stupid or unreasonable. However, if it weren’t for the people who took the first leaps and continued working to make their ideas happen, we wouldn’t be able to enjoy the many luxuries that we have today. Here are 4 never give up stories to help you keep going and to help you pursue your dreams, goals and ideas.
Howard Schultz and Starbucks
Raking in $13.2 billion last year in revenues, Starbucks has become a household name here in North America, and around the world internationally. Who is the man behind it all? Howard Schultz. In the 1980′s, Schultz noticed the coffee bar trend in Europe and wanted to bring the idea to North America. However, the concept was so bizarre at the time that people could not perceive the idea of serving coffee in paper cups over the counter, when they could just brew it themselves at home. Coffee business at the time primarily dealt with roasting coffee to sell for home brewing. In order to bring his new idea to life, he needed $1.6 million. Schultz met with numerous potential investors, but was shut down 242 times before someone gave him a shot. Without his persistence, self-confidence and the strong belief he had in his own ideas, there would be no tall, no venti and no grande, today.
Walt Disney
Fired from one of his earliest jobs working for a newspaper for lacking creativity and having no good ideas, Walt Disney’s empire did not come easy. Disney faced ridicule, rejection and bankruptcy before he managed to create all of the childhood characters that we grew to love. He took chances and believed in himself and his work. He never gave up on Mickey Mouse and he never gave up on Disneyland. When he first proposed his idea for a new theme park, the city of Anaheim rejected his idea because they felt the concept was cheap and that it would only attract people of a low social status. What about now? Last year, The Walt Disney Company raked in $42.2 billion in revenue.
Thomas Edison and the Light Bulb
Teachers often said that Edison was too stupid to learn anything. In fact, he was fired from his first two jobs because his bosses felt he was unproductive. Throughout his life, his peers believed that he would never amount to much. When he first tried to invent the light bulb, he actually failed 1,000 times. However, he didn’t count them as failures. Through motivation and dedication, he was able to invent the light bulb with 1,000 steps.
Winston Churchill and Becoming the Prime Minister of Great Britain
Like Edison, Churchill had difficulties as a child during his school years. After deciding to become a politician, he was defeated in every single election for public office, until he became Prime Minister at the age of 62. What does Churchill have to say about failure? “Never give in–never, never, never, never, in nothing great or small, large or petty, never give in except to convictions of honor and good sense. Never yield to force; never yield to the apparently overwhelming might of the enemy.”
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