The applications tag has no wiki summary.
3
votes
3answers
149 views
Are questions of convergence important in real life?
In the real world, do we ever need to worry about convergence and what not? I am not talking about whether recursive functions and such terminate, but convergence in analysis. It seems like the ...
5
votes
3answers
74 views
Mathematics applied to biology
Can anyone suggest reference material on mathematics applied to biology, in particular the study of the behavior of say simple unicellular organisms or cells? Ideally the level of complexity should be ...
0
votes
1answer
51 views
Mean of a practical distribution
I have a graph with an asymmetrical distribution (spectral response for some sensor). The graph is plotted as efficiency values versus vavelength. I must determine the median wavelength. Help please, ...
-3
votes
0answers
97 views
Problems with scaling invariance
I am collecting problems with scaling invariance. What I mean may be explained by the following three examples in ascending order of difficulty.
1) The frequency of the string pendulum is independent ...
11
votes
0answers
125 views
Ratio of largest eigenvalue to sum of eigenvalues — where to read about it?
Let $E_j$ be the $j$th largest-magnitude eigenvalue of a real symmetric $N \times N$ matrix $M$. I've found that the ratio
$$\frac{|E_1|}{\sum_{j=1}^N{|E_j|}},$$
is a measure of the "rank-one-ness" ...
1
vote
0answers
30 views
Applications of the number of spanning trees in graphs
Let $G$ be a simple graph and denote by $\tau(G)$ the number of spanning trees of $G$.
There are many results related to $\tau(G)$ for certain types of graphs. For example one of the prettiest (to ...
0
votes
0answers
69 views
Recently discovered math with important applications? [closed]
Some examples of math discovered in the last 50 years with important applications are:
RSA public key encryption algorithm
Elliptic curve method of factoring integers
Kalman filter (used for GPS)
...
4
votes
1answer
113 views
Ideas for a Applications of Calculus Video
Note: I am not sure if this should be posted here, but, after looking through the other sites, I felt this was the best fit for the question.
For class, I have to make a video with applications of ...
0
votes
1answer
67 views
Application to draw/edit/export 2d bezier-curve over image
I am searching for an application (window preferred but linux, mac are possible too).
The application would be used to redraw a bezier-curve over an hand-drawn image.
I have multiple images with 2 ...
3
votes
1answer
72 views
Geometric reason for 3/4-power growth rate?
It seems pretty well established that organisms grow
according to a 3/4-power law.
For example,
Niklas and Enquist, in their paper
"Invariant scaling relationships for interspecific plant biomass ...
0
votes
2answers
74 views
Ferris wheel question from Checkpoint book 11-14
The question is from checkpoint book 11-14 from section 4, chapter 19, Shape, Space and measures. Question number 8
A ferris wheel, centre O, has a diameter of 10m and carries eight equally spaced ...
19
votes
13answers
683 views
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 ...
1
vote
1answer
43 views
How can I find the volume of a solid of revolution
I am finding a bounded volume. The question says
Find the volume of the solid obtained by rotating the region bounded by $y=x^{2}$ and $x=y^{2}$. Rotating about $y=1$
I got an intercept of ...
0
votes
0answers
109 views
RLC Circuit in Series with ODE's and Laplace Transforms
I have a problem with an RLC circuit problem which reads as follows:
Here is what the RLC circuit looks like:
If I could I would, but this thing thinks its spam...sweet!
The switch at S is closed at ...
0
votes
0answers
25 views
What are the fastest reliable algorithms to turn 3D-Polygons and 3D-Polyhedra into voxel cubes?
Suppose, I have a regular grid (tesselation of $\mathbb{R}^3$) of cubes. I want to see which cubes intersect my (convex, 3-4 vertices) polygons and my (convex) polyhedra.
This is needed so I can get ...
6
votes
2answers
229 views
Optimization Puzzle
You are given a large number of LEGO blocks of size 1. You can build blocks of other sizes using smaller blocks. For example, you can build a block of size 2 using two of size 1 blocks and then build ...
4
votes
1answer
129 views
Open problems in Mathematical Tomography?
Since I feel that Tomography can be applied to a wide range of sciences, I was wondering what the current open problems in Tomographic Reconstruction are.
Furthermore, I am curious as to how these ...
3
votes
0answers
72 views
Large numbers in real world
I am a high school math teacher and I am looking for a comprehensive list of large numbers which occur in real world.
For example
There are $10^{14}$ cells in the human body
$10^{100}$ is called ...
0
votes
2answers
76 views
How to prove if an infinite set is total ordered?
Given the function:
$$f:(a,b)\in\mathbb{Z}\times\mathbb{Z}\longrightarrow
ab^2\in\mathbb{Z}$$ What can you say about injectivity and
surjectivity?
This is not injective. I have easily find ...
0
votes
3answers
95 views
How to derive the share of a prize given scores
I am curious to find out reasonable ways of dividing a prize among $n$ people in the following situation:
To make the example specific, we have $6$ people in total who are going to share a prize of ...
2
votes
1answer
347 views
Real Life Optimization Problem
You are given a set $A$ of integers of size $n$ and a common divisor $r$ called the "anchor", which isn't in $A$ and isn't necessarily the greatest common divisor, either. Let $M$ be the least common ...
0
votes
0answers
21 views
issue with complex variable representation for solutions of 2d bi-harmonic equation
In complex variable representations of 2D Stokes flow (where streaming function governed by bi-harmonic equation) the following notation is sometimes employed:
$\bar{f}(\bar{z})=\overline{f(z)}$ where ...
0
votes
2answers
52 views
What are some applications of smoothing a piecewise polynomial?
What are some applications of smoothing a piecewise polynomial?
For example, I am interested in learning from you:
1) In what future areas of my math studies will this be useful?
and
2) Are there ...
13
votes
6answers
465 views
In what fields would you like to see applications of mathematics?
There are very few disciplines which mathematics has not penetrated. As a pupil finds such gem in the calculus problem of theory of rumors, he wonders if such field has application in vaudevillian ...
1
vote
0answers
91 views
Problems and conjectures that have positive practical consequences for society, once solved
This question made me think a bit about how mathematics can be used in such a way that society benefits from it.
I think there are quite a lot of good answers to the aforementioned question. Still, ...
3
votes
3answers
134 views
What is the use of remainders in polynomial division?
My class has just been taught about polynomial division, and how it can be used to see if something is a factor (although remainder theorem is quicker), if the remainder = 0.
But what is the use of ...
4
votes
2answers
268 views
Practical applications of eigenvalues/eigenvectors in computer science
What are the most important/popular applications of eigenvalues and eigenvectors in practical terms, in fields such as computer science and computer graphics?
Wikipedia does mention some but doesn't ...
1
vote
2answers
159 views
Finding volume of a cone through integration
I am trying to find the volume of a cone using integration through horizontal slicing. The cone has a base radius of 10cm and a height of 5cm.
I am assuming this means I should integrate with respect ...
5
votes
1answer
198 views
What applications of the Residue Theorem to real integration have had the biggest impact outside of pure math?
A typical undergraduate student (at least in North America) learns about integration of real-valued functions of one real variable, and learns some of its applications to science and probability, e.g. ...
26
votes
6answers
385 views
Algebraic Intuition for Homological Algebra and Applications to More Elementary Algebra
I am taking a course next term in homological algebra (using Weibel's classic text) and am having a hard time seeing some of the big picture of the idea behind homological algebra.
Now, this sort of ...
0
votes
1answer
25 views
Calculate map point in coordinates
I am creating a map application and I need help in calculation.
I am having an image of map which is say 125px in height and 250px in width, I know coordinates of all the corners, now I want to ...
1
vote
1answer
79 views
Calculating BMI (Body Mass Index)
If I'm given the following values:
Weight = 15st 9lbs
Height = 5.8 ft
If we want to calculate the BMI, would it be: 33.30?
And, in the final result we do NOT put any units, right?
Thanks.
0
votes
1answer
80 views
how to find the application of ordinary differential equation
This question may be out of the scope of this website, if so let me know and i will delete it. so I am right now taking an ODE class, which i find to be mildly interesting, though it seems to be more ...
2
votes
0answers
59 views
What important problems require one to solve large systems of polynomial equations?
What is an extremely important problem that requires one to solve large systems of polynomial equations? I've heard of a number of "general areas" where the problems crop up (robotics, coding theory, ...
2
votes
1answer
64 views
Given enough DNA samples, would it be possible to reconstruct the entire genealogy tree of humanity?
DNA samples of live individuals.
It would be more of a mesh/graph than a tree but you get what I mean. I guess we could only have access to potential graphs with varying degrees of probability. In ...
2
votes
1answer
85 views
Application of Panjer recursion scheme
I'm writing my bachelor (the argument is the Compound Poisson Process applied to insurance) and I need an example to complete it.
I need an application of Panjer recursion scheme (for example ...
1
vote
0answers
88 views
applications of topology or abstract algebra to astronomy
That is my question, there are applications of the branch of topology or abstract algebra to the astronomy? I know that there are to physics but to astronomy?
4
votes
2answers
286 views
Group theory applications along with a solved example
As I asked in previous question, I am very curious about applying Group theory. Still I have doubts about how I can apply group theory. I know about formal definitions and I can able to solve and ...
9
votes
3answers
519 views
Real-world uses of Algebraic Structures
I am a Computer science student, and in discrete mathematics, I am learning about algebraic structures. In that I am having concepts like Group,semi-Groups etc...
Previously I studied Graphs. I ...
1
vote
0answers
40 views
Is there an application for the ability to quickly calculate similar integrals?
Is there an application for, or an industry that needs repeated calculations of similar integrals?
Let me begin by explaining this a little. I began a little project, mostly for fun and learning, to ...
9
votes
1answer
340 views
Why does GPS require a minimum of 24 satellites?
From Wikipedia,
The GPS design originally called for 24 SVs, eight each in three
approximately circular orbits, but this was modified to six orbital
planes with four satellites each. [...] The ...
1
vote
3answers
168 views
Recent practical advances
I love interesting and deep mathematical results, but on the other hand I cannot object when someone says that most likely all these complicating abstract theorem will not make a change to human kind ...
1
vote
1answer
109 views
dynamic mean: measurement of randomly distributed events
Aim is to estimate an error on a stochastic event rate. I read out the event counter second-wise, every black $1$ is a counted event (new events over time, see the plot below).
During the measurement ...
2
votes
1answer
130 views
How many cpus needed to check a 100 million digit prime number efficiently?
If I had access to potentially large number of CPUs and wanted to quickly check 100 million digit numbers for primality using a map-reduce architecture, how many CPUs would be necessary? Each of the ...
0
votes
0answers
79 views
What is a padding factor called?
I am working on calculating staff raises with these few general criteria. Note that this is a very simplified example.
The raise pool is 5% of the combined salaries
The intent is to award 2% to ...
3
votes
1answer
92 views
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 ...
1
vote
1answer
82 views
communicating vessel formulas
i having trouble with this formula
$$
Z1(t) = Ze+(\sqrt{Z1-Ze}-\frac{2S0}{S1}\sqrt{2g(1+\frac{S1}{S2})}.t)²
$$
Z1 and Z2 are the heights of the vessels.
S1 and S2 are the sections of the ...
4
votes
7answers
1k views
Real world applications of prime numbers?
I am going through the problems from Project Euler and I notice a strong insistence on Primes and efficient algorithms to compute large primes efficiently.
The problems are interesting per se, but I ...
1
vote
3answers
192 views
Distance from a point to a line in vector geometry - real world applications?
In vector geometry it is a standard example how to calculate the distance between a point and a line in space. However are there any interesting real world applications of this. I.e. where one wants ...
14
votes
4answers
415 views
“Casual” mathematical facts with practical consequences
Some mathematical facts -be them approximations or not- can be described as coincidences, without any deeper meaning in themselves, but leading to relevant practical consequences. I was thinking in ...
