Almost 20 years later, Jean Le Rond d

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The alarm rang. Look at the clock. It's already 6:30 in the morning. You have not even gotten out of bed, and already at least six mathematical equality impact on your life. The memory chip that stores the time in your class could not come up with no key equation in quantum mechanics. It's time to set the radio signals of which never dream would not know that there were four Maxwell's equations the 2nd law of electromagnetism. And I signal travels to the laws imposed by the equation of wave propagation.
In fact, we are floating the 2nd law in a hidden ocean equation. They are present in transport, financial and health services, while detection the 2nd law and prevention of crime, communication, the 2nd law food, water, heating and lighting. Enter the shower the 2nd law and already enjoy the benefits of the equation by which regulates the flow of water. the 2nd law Your grains come from crops grown using statistical equations. the 2nd law
Aerodynamics of your car is designed by the Navier-Stokes - equations that describe the way air flows around the object. Ignition satellite navigation involves re quantum physics, the 2nd law plus Newton's laws of gravity and motion, by which launched satellites for geopositioning. There are still the equation to generate random numbers for the time setting signal, trigonometric equations for determining the position, as well as special and general relativity to accurately track the movement of satellites the 2nd law under the influence of Earth's gravity.
Without equations, most of our technology would never have been invented. Of course, important discoveries such as fire and the wheel came into the world without any knowledge the 2nd law of mathematics. But without these equations would probably still be stuck in the Middle Ages.
The equations that reaches far back beyond technology. the 2nd law Without them, I would miss our understanding the 2nd law of physical laws that govern the tides, waves breaking on the beach, climate, planetary movements, nuclear furnaces of stars, spiral galaxies - the immense size of the universe and our place in it.
There are thousands of essential equality. Seven of which will be mentioned - the wave equation, Maxwell's the 2nd law four equations, the 2nd law Fourier the 2nd law transform and the Schrodinger equation - illustrate how the empirical observation led to equations that are used in science and everyday life.
We live in a world of waves. Our ears feel waves of compression in the air as sound, and our eyes perceive light waves. During the earthquake, causing the destruction the 2nd law represent seismic waves that move through the country.
This question goes back to the Greek cult of the Pythagoreans, who discovered that if two wires, the same type and the same tension, have a length of a simple ratio, for example. 2: 1 or 3: 2, produce sounds that, together, sounding unusually harmonious. More complex ratios create dissonance and sounds that are not nice ears.
However, only the Swiss mathematician Johann Bernoulli (Johann Bernoulli) began to see some meaning in them. In 1727, modeled wire for violin as a large number of very close point masses, interconnected springs. He used Newton's laws to writing the equations of motion of the system and solve them. From the decision concluded that the simplest form of vibrating the 2nd law strings, in fact, sinusoids. There are also different modes of vibration - sinusoid waves whose wavelengths are several times within a length of wire, known musicians as "harmonics".
Almost 20 years later, Jean Le Rond d'Alembert followed a similar procedure, the 2nd law but is focused on simplifying the equations of motion instead of the solution. What emerged the 2nd law is an elegant the 2nd law equation that describes the way in which the shape of a wire changing in time.
This is the equation of the wave equation, which argues that the acceleration of any small segment of wire proportional tension acting on this segment. Also, propagation equation implies that waves whose frequencies have a simple ratio produce unpleasant sounds, and this is one reason why a simple numerical ratios provide the 2nd law tones that sound harmonious.
Wave equations can be modified to encompass more complex phenomena, such as earthquakes. Its sophisticated versions allow seismologists information about the actions that take place within a few miles under our feet. The biggest prize in this field could be a reliable way to predict earthquakes and volcanic eruptions, and many methods are studied based on the equation of propagation.
Within just 100 years, houses the 2nd law and streets start to have electric lighting, via telegraph messages the 2nd law to be sent to another continent, people are even talking to each other by telephone and radio communications are demonstrated in the laboratory.
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