A pattern is a regularity in the world, in human-made design, or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.
Any of the senses may directly observe patterns. Conversely, abstract patterns in science, mathematics, or language may be observable only by analysis. Direct observation in practice means seeing visual patterns, which are widespread in nature and in art. Visual patterns in nature are often chaotic, rarely exactly repeating, and often involve fractals. Natural patterns include spirals, meanders, waves, foams, tilings, cracks, and those created by symmetries of rotation and reflection. Patterns have an underlying mathematical structure; indeed, mathematics can be seen as the search for regularities, and the output of any function is a mathematical pattern. Similarly in the sciences, theories explain and predict regularities in the world.
In art and architecture, decorations or visual motifs may be combined and repeated to form patterns designed to have a chosen effect on the viewer. In computer science, a software design pattern is a known solution to a class of problems in programming. In fashion, the pattern is a template used to create any number of similar garments.
In a permutation matrix (the identity matrix with rows possibly rearranged), it is easy to spot those rows which will indicate a fixed point -- the one on the diagonal -- and to spot the pairs of rows that will indicate a transposition: a pair of ones on a backward diagonal, i.e., where the...
I have previously studied special relativity, but only at an introductory level. So I decided to explore the subject more in detail later by thinking and working things out on my own, in addition to doing research online. In particular, I seem to have noticed some intriguing patterns between...
I believe I have created an integer sequence that is truly unique. I would appreciate it if someone could try to solve this.
Here is the first 89 integers of this sequence...
BBC has an interesting article on sleep patterns in pre-industrial England and Europe, and it seems natural in other animals.
https://www.bbc.com/future/article/20220107-the-lost-medieval-habit-of-biphasic-sleep
Historian Roger Ekirch "explains in his book, At Day's Close: A History of...
I have been trying to find a pattern in this sequence of numbers:
72.1, 25.2, 35.1, 58.3, 164.14, 99.8, 23.1, 51.5, 13.2
I have tried every method I can think of like finding the mean, putting them in numerical order, trying to see if the differences between each number has any correlation (It...
I've seen a printout like this at a printer at my work a couple times over the last year, and have not been able to figure out what they are used for. Does anybody know of a game or come crypto decode technique that uses such patterns?
the 1-page printout has seven of these 25x4 checkerboards...
I've been playing around with geometric optics a bit and started wondering whether it's possible to magnify both the real image and the diffraction pattern with the same lens setup.
With a single lens both become larger when the focal length is increased (as along as it stays below the object...
A 4×3 matrix which has all elements empty, now I select any two consecutive elements until all elements are selected. I assign an index number (1 to 12) to the matrix element, in one row there are only 1,2,3 elements and 3 & 4 are not consecutive.
for example, if I select index 1 & 2 of the...
Hi.
As i understand in double slit experiment photon can arrive at slits through different paths (longer and shorter) and it would still show interference pattern.
My question is - if there was some path cutting device in a way of photon (on longest path after length that photon arrive at...
I have an electronic device that sends me a signal but there is also a lot of noise.
My question is, in general, How could I identify that pattern in the data I am receiving?
So I would like to read articles or books talking about this topic.
First thing I thought was using Fourier but I was...
Following on from the recent discussion on the gap size in the metal grill covering the door of a microwave oven, I thought up a way to actually enable one to see some of the standing microwave patterns going on in a typical oven .
I bought a 20” x 20”cobalt chloride soaked cloth from Amazon...
Hey everyone - I run a music school and learning about how sound works is really helpful in talking about tone production, volume, and just understanding in general what's going on. As part of that,. I'm looking for a pattern that I could print on a drum head that would show how the head moves...
I feel like I am "exactly wrong" ; In the far field I get more variation in the same xy-space and in the near field I get less variation. I feel like the opposite would be true.
I'm trying to create a diffraction pattern by replacing the aperture with a thin cylinder with a uniform volume...
I'm still on part a.
I think that i may have the wrong equation for intensity.
I'm not sure I'm using the right numbers for the "first minimum".
I started with getting the wavelength
λ=(ax)/D
since the first minimum occurs at m = 0.5 I multiplied the distance to the first minimum by 2 to get...
If I direct a laser pointer onto a diffraction grating and place a screen beyond it, I see a diffraction pattern - a line of dots - as expected.
If I move the screen further away from the grating, the distance between the dots increases - again as expected.
If I place a camera where the screen...
The number sequence is as follows:
3x+5y; 5x; 7x-5y; 9x-10y...
I need to formulate a general term - Tn=T1+d(n-1)
In the above sequence I have no idea what.
I also think this sequence is non linear.
Please help with a solution
Thanks
Hi,
I spent some time during my PhD with the task of indexing TEM diffraction patterns, usually made with selected area diffraction. All available software I found online was either too complicated or too expensive (or both). So I decided to make my own: https://www.odpin.com
It's 100%...
I = I0[ sin (φ/2)/(φ/2)]2
Given such equation I don't understand why in sin(φ/2) are used degrees and in (φ/2) at the denominator radians. If there is any reason for it i forgot about it 😓.
Is there anyone so kind to explain to me why is like that?
Thanks in advance
Would it be possible for photons to form some sort of static structure, like a standing waveform, if space-time was curved enough?
It seems like a structure like this exists around black holes. Is there any other distortion or phenomenon that could cause this, such as a neutron star or a galaxy?
In https://www.sciencedirect.com/science/article/pii/S0378437109010401, the author claims that the interference pattern obtained in the double-slit experiment does not need a wave description of matter, and can be accounted for by the "quantized momentum transfer" from the slits to the electron...
For the colourfully-annotated compound above, why aren't the splitting patterns and integrations for the red and blue set of protons "pentet, 6 H" and "octet, 4 H", respectively?
I got into my car last night saw these patterns on the inside. Some of them just look like frost formed on some streaks from when I must have wiped it, but then there all these really intricate patterns of intersecting straight lines. There were no cracks or scratches on the interior that I...
I've read on page 107 of the pdf http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=617AE275E5CECF5F0AFD69ACBC52141B?doi=10.1.1.205.6529&rep=rep1&type=pdf that
. Thus it seems that there are three different interference patterns.
1: We do not try to detect the electron passing through the...
I've recently come across this problem:
Answer true or false. If light shines through 2 slits, will the diffraction pattern always be within the interference pattern.
I don't understand this question, however. How can the interference and diffraction pattern be separated in this situation...
Im little bit new to number patterns. Can anyone please solve this for me
11,13,17,19,23,29,31,?
This maybe pretty easy one but I am little bit confused.
Is there a technical specification for ceramic tile that tells whether each tile had a different random design versus whether there are a limited number of random-looking, but identical tiles?
In the past few months, I've seen different types of ceramic floor tile installed in several rooms of...
I was doing a thought experiment last night. Gravitational waves, being like any other type of wave would cancel each other out and create a refraction pattern of strength.
While we do not have definitive proof there is a black hole at the center of every Galaxy, we do know, through...
I couldn't come up with a satisfying explanation myself so I figured this is where I might find an answer.. I have been drinking smooth yogurt of this glass, after I drunk it I left the glass on the side and after few minutes this pattern appeared on the inside of the glass. I know it comes...
Homework Statement
PROBLEM STATEMENT:
"Represent the grid patterns in the figure with a dither matrix."
(Figure: https://www.docdroid.net/OMLUX5v/figure.pdf )
ANSWER (FROM MY BOOK):
http://www.wolframalpha.com/input/?i=%7B%7B0,2%7D,%7B3,1%7D%7D
Homework Equations...
[Moderator note: Member advised to use the provided formatting template for all homework help requests]
If each side of a tetrahedron is an equilateral triangle painted white or black, five distinct patterns are possible: all sides white, all black, just one side white, just one black, and two...
I have in the back of my head the statement that for every finite sequence of positive integers there exists a pattern (i.e., a generating formula). While this sounds reasonable, I am not sure whether it is true, and if it is true, what the source for this statement is, and how the correct...
When observing interference patterns, one will notice that the maxima from a double slit are more intense and farther apart than the maxima of a single slit. Likewise, the maxima from a diffraction grating are more intense and farther apart than maxima of a double slit. Why is this?
I...
I hope someone here can help me and jog my memory. Some time back I was reading something on this forum which struck me as being a bit strange but nevertheless interesting. I made a mental note of coming back to the topic and taking a proper look at it But the trouble is I've forgotten the...
Hello, everyone!
Let's say I have an XRD pattern which has broad reflections. I don't know what material it is (don't know what temperature and conditions it is made). How to know whether those broad reflections are from nanomaterial or amorphous material?
I am currently trying to learn pattern recognition from Pattern Classification by Duda et al. However, this books is a bit too dense for me. I keep hitting walls while trying to read the books (I understand most of the reasoning, but it just becomes too much and too abstract).
Can anybody...
In Kraus book on antenna (3ed page 203)
example 7-4.1
the difference between those antenna is (to my understanding) only the wave length.
How could they have different radiation pattern?
I was bored today so I took this diamond shaped crystal made of glas and simply put in infront of the light emitting from the sun. What I noticed was a lot of lines on the wall that were strangely colored, just like the electromagnetic spectrum. One end was blue, then progressively went to red...
Has anyone every discovered any patterns in pi such as...every 97th digit is a 3? or something similar?
I know there is no repeatable pattern of digits but is there anything that precludes other patterns such as the above?
tex
Homework Statement
The centres of two slits of width a are a distance d apart. If the fourth minimum of the interference pattern occurs at the location of the first minimum of the diffraction pattern for light, the ratio a/d is equal to:
ANS: 1/4
Homework Equations
Here are the various...
I understand that fermions are subject to the Schrödinger equation, but photons are not. I understand that interference patterns of electrons are governed by the Schrödinger equation, but with photons it is different. If I understand correctly, then what is the nature of this difference?
Points A, B and C form an isosceles triangle. A is 6 lightyears away from C, B is 6 lightyears away from C, and A and B are 1 lightyear away from each other. Oh, and C is Earth. So it's point A, point B, and a telescope on/around Earth. An astronomer on Earth observers an incredibly brief...
Lets say I have three surfaces, one with pattern A, one with pattern B and the third with A and B overlapped. Will the diffraction pattern be a simple addition of the diffraction patterns from A and B?
In a double slit experiment (say, of electrons), when putting a detector to examine the passing of electrons through one slit, the wave pattern of the electrons disappears and instead the particle pattern appears. The classical explanation is that an electron exists both as a wave and as a...
I would like to delete all lines starting with the following
- \t (tab)
- \n (newline)
- /
- (single space)
- =
I've tried `sed -n '/^\(\t\|\n\|/\| \|=\)$/d' OUTPUT.txt > test.txt` and combos of that to no avail. What am I doing wrong?