Patterns Definition and 197 Threads

So a friend of mine baked some cookies, then noticed some patterns on the baking pan. The person asked me what caused these patterns, or even if they are just random... any ideas? http://imageshack.us/photo/my-images/94/34124410150294532442373.jpg/

Homework Statement A beam of monochromatic light is incident on a single slit of width 0.560 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.32 mm. Calculate the wavelength of the...

Hello, this is my first visit to PF. I have a question that I can tell isn't very difficult, but I can't seem get my head around it, maybe i just need to review my text and make an attempt tomorrow. Homework Statement Consider the point P in the following diagram. Analyze this diagram to show...

Please Help me out with this one. Can all patterns in 2D or 3D, have an equivalent equation in polynomial?

Figure 3 of the below shows 1 blob. http://www.fsc.ufsc.br/~lucio/2003-07WalbornF.pdf Other illustrations show 2 blobs...i.e. one for each slit. When does 1 blob happen and when does two blobs happen?

Hi all, Im new here so please be gentle. Whilst in the pub last night a game was started with spinning a coin. We got to the point where we could all spin the coin with our hands in a circle around the salt shaker, about 3cm diameter. We then moved on to the pint glass and achieved that...

How do you determine burst error patterns so for example B15(4)? I do not understand the method at all

Hi, I did this video using mathematica. https://www.youtube.com/watch?v=FFxrHTfWegk It shows different patterns formed by Maurer Roses, see description on youtube. Does somebody know any application of this?

Homework Statement See figure attached. Homework Equations The Attempt at a Solution Not too sure how to do this one. I tried thinking about what it was doing before the air was replaced with the liquid. With air, The first reflection would have no phase shift (glass...

I play racquetball quite a bit as a hobby and competitively. One thing that I have noticed, and has baffled me for some time, is that on the sidewalls of a racquetball court, the ball's angle of incidence does not equal it's angle of reflection. It instead tends to (after repeated bounces)...

great article http://plus.maths.org/content/music-primes

so I just introduced myself to the concept of integration by parts a few days ago, and today for practice I decided to try to redo one of the examples given in a youtube video without the assistance of youtube. That problem was int. (x^2)(e^x) dx, for which the answer is (e^x)(x^2 -2x + 2). So...

I was wondering, after reading a few posts on various things related to 'The clockworks of the solar system' such as angular velocity and orbital periods,in a 3-dimensional sense, are planets orbital paths all over, or are they flat on one plane, varying in only 2 dimensions? i imagine it...

so my project is on reaction diffusion equations in 2d. i have been asked to reproduce known and published work to start off with and the system is the brusselator equations with diffusion terms. to put it simply my program doesn't work. now the parameter values for the equations are taken from...

Can we move atoms into any pattern we want? Thanks!

I am wondering how is it that the electrons go from one elctron shell to another because I learned that the shells only meet in the nucleus of the element so how is it possible for it to change shells without becoming a nuetralized charge?

I observed some patterns in some series involving taking the expression x^n and dividing it by n!, and looking at the remainder for each x, starting with x=0 or x=1 I was wondering if there is some kind of explanation of the patterns that seem to be present For example, looking at the...

I have read (sorry, I no longer have access to the source, which is the reason for the question (1) below) that one can find a fractal pattern if one (a) shoots an electron through a two-dimensional plane perpendicular to a homogeneous magnetic field traversing a quasicrystal so that the...

When i spin a benham top why do i see colors , Is this because of the dashed black lines , that i am now pulsing white light , so now the white light is out of phase and the red , green , yellow photons are interfering so i see colors , Is this is what is going on .

Or provide any additional information or resources about them? I'm thinking about how light would react when passing through certain substance/or geometric medium 3 concepts come to mind when considering the idea 1 the light (beam, frequency notwithstanding) enters a prism and is...

Circular Diffraction Patterns HELP! Homework Statement Homework Equations theata_1=1.22(lambda)(L)/D L distance from screen, D diameter of slit w=2.44(lambda)(L)/D The Attempt at a Solution so this is what i did not sure where i went wrong maybe at rounding off...

I,ve noticed that when I fire a rifle that my left ear feels the most damage were my right ear feels allmost no damage. How can that be when my right ear is closest to the rifle chamber? I am right-handed.

Hi Everybody! I have been wondering about wave generation from point sources, and interference. I have noticed that if several point sources are sited in a line much more than one wavelength long, a very directional interference pattern develops. The closer the sources and the longer the line...

It seems like an interaction constrains the wave and creates a diffraction pattern that spreads through space and the rings of the diffraction pattern can likewise be constrained and create their own diffraction patterns.

If i shot a red laser through the top slit and microwave laser through the bottom slit what would we expect to see in the diffraction pattern would we see a double slit pattern or a single slit pattern , how would the microwaves interfere with the red photons , Or if this is too...

Hello guys, I need desperate help. I am googling an simple experiment that can observe interference patterns ? can someone help me out please?

Homework Statement It's not a specific question. It's more of a general knowledge. As you know, an air wedge forms when two glass plates have one ends meeting each other and the other ends opening up. Here's the diagram...

why are Newton rings observed in a circuler pattern?

Homework Statement At the time of a full moon, the tides repeat with a period of about 12 hours, and the depth of water in a certain channel varies between 2 meters and 6 meters in a way that can be modeled by an equation of the form D(t) = A + Bsin(ct + d), where A is the average depth and...

Homework Statement I am to calculated the wavelength of the laser I shone through different slit patterns to create diffraction patters on a screen. For the single slit diffraction, Data: xm is the distance from the central image to the mth minimum. x1 0.008 x2 0.015 x3 0.023 x4...

I've been wondering lately why the air currents don't travel in the same direction. The Earth spins constantly and each side is given roughly equal irradiance from the sun, so why does the wind not simply follow this direction (on a macro scale) of heat input? Instead it seems to mix quite...

I'm trying to study wear patterns of tools in a manufacturing process. My plan of attack is the following: 1) pre-image the tool in the SEM 2) use the tool to machine a superabrasive material 3) remove the excess Aluminum from the tool that accumulates during the machining process using NaOH...

what are the most recognized constellations located towards the southwest sky?

What criteria is used to judge the quality of an airy disk pattern?

Does any branch of mathematics concern exclusively the dissimilarity of patterns?

If gravitational waves formed interference patterns, or just simply interfere as normal waves, couldn't that result in gravitational anomalies in absence of mass? Destructive interference could be thought of as negative gravity(dark energy), leading to expansive "forces", whilst constructive...

Hello, all. Can someone please direct me to a good source of information which explains how the threaded fasteners in a circular bolt pattern - such as used in a flanged joint - collectively "share the load", and how the stresses which arise due to tension, bending, and shear forces acting upon...

If a pattern is found between two sets of data and one is linear and the other resembles a wave, is there some type of modification to make the wave linear? (so that it is related easier to the linear data). Like a formula that when the linear data is plugged in, it will produce the wave...

Hi, I want to show that an irrational number (let's say pi) can never have an (infinitely) repeating pattern (such as 0.12347 12347 12347 ...). Is it possible to 'proof' (or just make it more acceptable, I don't need a 100% rigorous proof) this easily, without using too much complicated math...

Suppose I have a random binary number of length n>3 and another binary number of length 3 which we will call the "pattern". What are the chances that the pattern will appear in the number such that the spacing between the digits in the pattern are equal? For example, if the pattern is 101...

In Brian Greene's book 'The Fabric of the Cosmos' he introduces an experiment called the "delayed-choice quantum eraser". This was really a magnificent experiment at first sight but pretty unclear when I was done reading the results. The experiment basically goes like this: In each path that...

Hi I was wondering whether anyone could suggest ways of making nice diffraction patterns using a red laser. I work at a charitable school in Kazakhstan so am limited in terms of materials. Any suggestions would be appreciated. Thanks

In Young's double slit experiment, how come the interefernece pattern produced does not take into account single slit diffraction? Thanks

Does gravitational lensing cause diffraction patterns, such as those seen by single, double, etc slit diffraction? In other words, would x-rays from object X get bent "less" than say microwaves or infrared? Would this happen if the light was passing between binary stars only, or could it...

OK, I'm working on a homework problem and I'm a little stuck. Problem: You want to detect th efringes in he diffraction pattern produced by sunlight passing through a fine slit in the blinds covering a window. You have available a filter that blocks all wavelengths except 550nm, and you...

Currently reading over some lecture notes on Hertzian dipoles and I want to confirm my understanding on why the E-field pattern is donut shaped. 1) The Herztzian (aka. 1/2 wave ) diploe has two terminals attached to a transmission line feeder. The feeder sends RF current into the terminals...

in playing a range of frequencies through a speaker 100hz- 10khz what patterns would be found as a microphone is moved from 0degrees in front of the speaker to 90degree perpendicular to the speaker cone that cna be measured with an oscilloscope? i'd expect the high frequencies will become less...

Hello to all of you guys, Is there any of you can help me finding the relationships/patterns of table that I attach below? (file name: puzzle.pdf) (The table consist of 350 rows and 20 columns, contains of numbers 0-9). Thank's.

1. The problem A HeNe laser (wavelength = 633nm) is used to illuminate an opaque plate containing a a specified aperture. The light which passes through the aperture falls on a screen at a distance of 4 m from the aperture plate. c) The aperture is replaced by two long rectangular slits...

-------------------------------------------------------------------------------- The main aim of this question is to assess your understanding of the use of random numbers in analyzing patterns. The table below gives the number of births on each day of a week in all maternity hospitals in...