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Can someone give me an example of another field of study that uses the calculus of variation and has an ...?

  • Can someone give me an example of another field of study that uses the calculus of variation and has an impact on society. can you suggest how the use of the finding may be further developed (in an area that is not necessary mathematical, eg, consumers, products, industries) to benefit the community?

  • Answer:

    do you mean other than statistics? sociology Statistics is the first to come to mind. But given the right information, calculus is used in all fields; ie: You can take a look at how human growth will be over time and how it may impact societies and natural raw resources. This is one common use and you could use it to find out how things are changing over time like eating habbits and migration habits in the ocean as temp. increases and at what speed, which will have profound effects on fishing communities and so fourth. In turn the fishing comminities will have to find work elsewhere and the fish availiability on the market could change for that society, effecting an export which is vital to communities and countries. you could also look at production levels of something being produced, like hydrogen as an alternative fuel and see how it will effect society. You could use calc. to examin the production of hydrogen and the cganging of the production levels due to different techniques, and see how cost effective vs how it impacts society to produce. eg, is it worth more money to produce something expensive with huge amounts of energy to have a more desireable effect on our environment and health? To what extent does this effect auto makers to change and the cost of modification knowing they have to be a viable company to sustain jobs...etc i hope this helps you

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caluculus answers questions in terms of optimizations or minimums. Therefore, if you can define a problem into numbers with a given set of independent variables, you can use calculus to solve for optimizations or maximums. a lot of consumer products use calculus to dtermine the shape of the container so that the volume is a maximum, but the amount of material is at a minimum. Use less material, use less money.

Terrence P

The development and use of calculus has had wide reaching effects on nearly all areas of modern living. It underlies nearly all of the sciences, especially physics. Virtually all modern developments such as building techniques, aviation, and other technologies make fundamental use of calculus. Many algebraic formulas now used for ballistics, heating and cooling, and other practical sciences were worked out through the use of calculus. In a handbook, an algebraic formula based on calculus methods may be applied without knowing its origins. The success of calculus has been extended over time to differential equations, vector calculus, calculus of variations, complex analysis, and differential topology.

ings

Optics. Snell's Law falls under the umbrella of calculus of physics. It defines the angle of refraction of materials that transmit light. Optics has some impact on microbiology since many observations are made via microscope (though most research is done via chemical tests). Microbiolgy has a direct impact on medicine, industrial chemistry, food sciences (microscopes are used to determine if foods such as ketchup meet FDA requirements for consumption), etc. Optics are also used in photography and cinematography. The impact of those field on society is pretty obviouis. Afterall, Hollywood makes heavy use of it. It's not just limited to real cameras. Doing angle of refraction calculations is necessary for proper lighting effects in computer graphics (though they usually used simplified versions of Snell's law for that)

Joe J

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