All questions with tag [math: applications]


Are questions of convergence important in real life?

In the real life, do we ever before require to bother with merging and also what not? I am not speaking about whether recursive features and also such end, yet merging in evaluation. It feels like the finitude of deep space makes inquiries like that useless. I ask due to the fact that it usually feels like physicists and also statisticians are r...
2022-07-25 16:43:03

Mathematics applied to biology

Can any person recommend reference product on maths related to biology, specifically the research of the actions of say straightforward unicellular microorganisms or cells? Preferably the degree of intricacy need to be focused on an experienced basic. Thanks. Included: Also, I am asking yourself if there are any kind of locations of biology whe...
2022-07-25 07:27:24

Mean of a practical distribution

I have a chart with an unbalanced circulation (spooky feedback for some sensing unit). The chart is outlined as performance values versus vavelength. I have to establish the typical wavelength. Aid please, my statistics is so corroded! ยข I have actually established the mean value of the performance - the values on the y - axis, and also taken in...
2022-07-24 03:46:33

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 me) is that if $$\tau(C_n^2) = n f_n^2$$ where $f_n$ is the $n$'th Fibonacci number. What I am wondering is if there are any known applications (prac...
2022-07-19 22:12:37

Ratio of largest eigenvalue to sum of eigenvalues -- where to read about it?

Let $E_j$ be the $j$th biggest - size eigenvalue of an actual symmetrical $N \times N$ matrix $M$. I've located that the proportion $$\frac{|E_1|}{\sum_{j=1}^N{|E_j|}},$$ is an action of the "rank - one - ness" of $M$. Qualitatively, the extra comparable the columns of $M$ are per various other, the greater the proportion. In my grad...
2022-07-19 21:45:22

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 calculus. However, I need a overarching theme to base my applications off of (it has to be something that can be easily followed.) I have no issues w...
2022-07-14 01:42:39

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 production rates and body size," PNAS, say: Annualized rates of growth $G$ scale as the 3/4-power of body mass $M$ over 20 orders of magn...
2022-07-11 02:35:32

Ferris wheel question from Checkpoint book 11-14

The inquiry is from checkpoint publication 11 - 14 from area 4, phase 19, Shape, Space and also actions. Inquiry number 8 A ferris wheel, centre O, has a size of 10m and also lugs 8 just as spaced carriages for youngsters to being in. The carriages are phoned number from 1 - 8. I've question pertaining to a subquestion (c) the fastest ran...
2022-07-10 05:01:16

How can I find the volume of a solid of revolution

I am locating a bounded quantity. The inquiry claims Find the quantity of the strong gotten by revolving the area bounded by $y=x^{2}$ and also $x=y^{2}$. Revolving concerning $y=1$ I obtained an obstruct of those features which was (1,1). I attempted to make use of washing machine method after that I obtained $\pi\int_0^1[(x)^2-(\sqrt x )^...
2022-07-08 03:45:58

What are some applications of Mathematics to the medical field?

This term I'm billed with locating an elderly capstone task for next year. I've offered it a great deal of idea and also can not appear to locate any kind of intriguing suggestions that are ideal for my degree of mathematics: I am a junior with A is in: ODEs/PDEs Linear Algebra Topology Organic Chemistry 1/2 Cellular Biology Introduction...
2022-07-08 03:43:08

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 a block of size 6, using three of size 2 blocks. However, you can't mix blocks of different sizes to build a block, nor can you use a fraction of a...
2022-07-06 20:41:50

Open problems in Mathematical Tomography?

Since I really feel that Tomography can be related to a variety of scientific researches, I was questioning what the existing open troubles in Tomographic Reconstruction are. In addition, I wonder regarding just how these conjectures/open troubles could aid Tomography, as soon as they are addressed. Do they permit scientists in biomedical imagi...
2022-07-06 20:41:39

Large numbers in real world

I am a senior high school mathematics educator and also I am seeking a thorough checklist of lots which take place in real life. As an example There are $10^{14}$ cells in the body $10^{100}$ is called googol and also the name google is stemmed from this There are $6\cdot 10^{23}$ atoms/molecules in one mole So exists any kind of excelle...
2022-07-05 21:57:27

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 claim concerning injectivity and also surjectivity? This is not injective. I have conveniently find 2 components that damaged injectivity definition. As an example $(1,2)$ is various from $(1,-2)$ yet their photos is 4 in both instance...
2022-07-04 14:43:24

How to derive the share of a prize given scores

I wonder to figure out practical means of separating a reward amongst $n$ individuals in the adhering to situation: To make the instance details, we have $6$ individuals in total amount that are mosting likely to share a reward of $100$ bucks, and also allow us represent the quantity obtained by everyone $i$ as $p_i$. On top of that, everyone $...
2022-07-03 00:49:34

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 multiple of all elements in $A$. The cost of $A$ is then defined as $\frac{M}{r} \cdot n$. For example, if $A = \{25, 30, 50\}$ and $5$ i...
2022-07-02 23:34:05

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 common real world applications of this technique? This topic is presented as a worked example following the lecture on the product rule in Calculus I (...
2022-07-01 15:47:20

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 arts such as tarot reading or theory of juggling. As one digs further one may finds terms as oracle, Napier's bone, Polya urn model, Witch of Agnesi, ...
2022-07-01 15:06:32

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, it seems to me that most of the ways to do mathematics "for good" involves doing some sort of applied mathematics, which means you often h...
2022-07-01 12:32:57

What is a real world application of polynomial factoring?

The better half and also I are resting below on a Saturday evening doing some algebra research. We are factoring polynomials and also had the very same idea at the very same time: when will we utilize this? I really feel a little bit foolish due to the fact that it constantly badgered me when individuals asked that in elementary school. Nonethe...
2022-06-29 20:59:16