Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [applications]

The [application] tag is meant for questions about applications of mathematical concepts and theorems to a more practical use (e.g. real world usage, less-abstract mathematics, etc.)

Mathematics often tries to abstract concepts and ideas, as it makes proofs somewhat easier. Questions in this tag are questions about the reverse process of taking abstract notions and theorems and applying them to specific cases.

1482 questions
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What are some applications of Mathematics to the medical field?

This semester I'm charged with finding a senior capstone project for next year. I've given it a lot of thought and can't seem to find any interesting ideas that are appropriate for my level of mathematics: I am a junior with A's…
MentatOfDune
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How do you estimate the flow rate of one fluid into another like the Deep Horizon Oil leak?

How have experts estimated the amount of oil that was shooting out of that pipe in the Gulf? I bet there's some neat math or physics involved here, and some interesting assumptions considering how little concrete data are available.
Michael Haren
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What is the point of isomorphism concept?

In many courses, say Linear Algebra, Group Theory, Topology, instructors often say that knowing that certaing objects are isomorphic, sometimes makes life easier because we can work with more friendly objects. Is there any example of using…
HeMan
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Apps for practicing math (all levels)

I am looking for an app that I can use to PROVIDE me with math problems for practice and to stay fresh on various subjects in mathematics. This includes all levels of math (from low grade school to differential equations, linear algebra, ect). These…
Beasted1010
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1 answer

Woodworking: How do I calculate the matching depth of a Vee Bit to a Roundover Bit?

While v-carving with a CNC router, the width of the cut is determined by depth of the Vee bit in the material. Simply stated, the deeper the bit goes, the wider the carving. I've successfully calculated the corresponding/matching depth if using a…
StevenM
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Use of the fact that $e^{i\pi}=-1$?

Yesterday, my son asked me of what use was the fact that $e^{i \pi}=-1$. I told him that he could use it to impress a girl, which is true but probably an incomplete response. So, I ask you, is there any practical application of the fact that $e^{i…
Michael Stern
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Related problems with ladder

A ladder AB of length 2a and weight w is inclined to a smooth horizontal ground(A) at an angle $\theta$ and rests against a smooth vertical wall(B). The centre of gravity G of the ladder is $\frac{3}{8}$ of the way up . The middle of the ladder,…
JOEF
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In a periodic city is there a faster way to guess where people came from?

People move through their days in a city in regular patterns. At certian times you see certian people in certian places. These patterns are periodic. So, to make this more abstract, suppose you are able to observe a small rectangular interval of the…
futurebird
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Mix two colors in LAB color space

I have two colors in LAB color space, for example: blue: 32.303, 79.197, -107.864 (hex code: #0000ff) yellow: 97.138, -21.556, 94.482 (hex code: #ffff00) I want to mix these two colors, and get the result color (hopefully some green in this…
Tamás Pap
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1 answer

Applications of equation $x^y=y^x$

So there are several ways of finding general positive solutions for the equation $x^y=y^x$. But does this equation appear anywhere in physics or other science ? Or maybe there is some practical purpose for it. Thanks in advance.
Юрій Ярош
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Mathematical Formulas for Game Battle Calculations

I am from a programming background and trying to write a game for fun. I am trying to write a battle calculator and which ever way I think about it I seem to run into trouble. Basically the scenario is this: Both the attacking force and the…
Fred
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Derivative application question

A girl of height $120 $cm is walking towards a light on the ground at a speed of $0.6$ m/s. Her shadow is being cast on a wall behind her that is $5 $m from the light. How is the size of her shadow changing when she is $1.5$ m from the light? Not…
user3063455
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rate of change of quantities

the rate of an expanding rectangle is increasing at a rate of 48 cmsq/sec. The length of the rectangle is always equal to the square of the breadth. At what rate is the length increasing at the instant when the breadth is 4.5 cm .
user83917
2
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1 answer

Is there a use for a wave made of alternating parabolas?

Messing around in Desmos, I constructed (with a lot of copy+pasting) a wave-like object made of the heads of a parabola I'd shifted, flipped, and connected together. The result closely resembles a cosine wave with equation $$y = \cos(\frac{\pi…
Nylonco
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Express numbers as the sum of two consecutive primes

Which of the following numbers can be expressed as the sum of 2 numbers consecutive primes? I) 20 II) 36 III) 52 The correct answer is II) and III) I solved it by explaining it as odd numbers: 36 = (2n + 1) + (2n + 3) 36 = 4n + 4 / n 8 = n…
Eduardot
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