Information Definition and 999 Threads

Information can be thought of as the resolution of uncertainty; it answers the question of "What an entity is" and thus defines both its essence and the nature of its characteristics. The concept of information has different meanings in different contexts. Thus the concept becomes synonymous to notions of constraint, communication, control, data, form, education, knowledge, meaning, understanding, mental stimuli, pattern, perception, proposition, representation, and entropy.
Information is associated with data. The difference is that information resolves uncertainty. Data can represent redundant symbols, but approaches information through optimal data compression.
Information can be transmitted in time, via data storage, and space, via communication and telecommunication. Information is expressed either as the content of a message or through direct or indirect observation. That which is perceived can be construed as a message in its own right, and in that sense, information is always conveyed as the content of a message.
Information can be encoded into various forms for transmission and interpretation (for example, information may be encoded into a sequence of signs, or transmitted via a signal). It can also be encrypted for safe storage and communication.
The uncertainty of an event is measured by its probability of occurrence. Uncertainty is inversely proportional to the probability of occurrence. Information theory takes advantage of this fact by concluding that more uncertain events require more information to resolve their uncertainty. The bit is a typical unit of information. It is 'that which reduces uncertainty by half'. Other units such as the nat may be used. For example, the information encoded in one "fair" coin flip is log2(2/1) = 1 bit, and in two fair coin flips is log2(4/1) = 2 bits. A 2011 Science article estimated that 97% of technologically stored information was already in digital bits in 2007, and that the year 2002 was the beginning of the digital age for information storage (with digital storage capacity bypassing analog for the first time).

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  1. J

    Faster than light information travel

    Faster than light information travel aparatus Ok, so I am not a physics pro, but I find it very interesting. And I just finished reading about Bell's theorem and I have a question. As I understand it, the laws are like this for entangled photons: 1. If you measure the polarization of photon 1...
  2. B

    Why won't this information sending work?

    A large number of particles are entangled and then sent out as a stream in opposite directions to two far away points. At one point, a sender attempts to transmit a binary string bit by bit : for a 1 bit he measures the position of N (fixed constant) particles, to a high precision. For a 0 bit...
  3. LarryS

    How To COUNT Information in Black Hole?

    I have not read any formal (mathematical) explanations of black hole thermodynamics, only popular literature on that subject. I have read that the total amount of information, and therefore its entropy, that a black hole can contain is proportional to the area of its event horizon (measured...
  4. S

    Fluid Dynamics - Extracting Information from Instantaneous Snapshot

    I have questions about how fluid dynamics may be used in general, particularly flow visualisation and extraction of flow parameters. I currently use a DNS code to propagate a wake near the fluid surface (fixed), from which I extract snapshots of the surface velocity field at particular...
  5. B

    Peak deconvolution - How much information can I get from these peaks?

    I need some help understanding how much information I can pull out of this data. I have a sample made up of two materials. Materials A and material B. Then I took a picture of the sample. The two materials mix quite well, but not perfectly, so on my image I can see that some areas are mostly...
  6. D

    Questions about information in QM

    Several questions. 1. Do different observers (with the same knowledge) in different inertial frames agree on the number of states of some specific system? 2. The same question for the different accelerated frames; 3. The most difficult one Say, Alice observes some system X with N particles...
  7. Z

    Information Theory- DMS question- Binomial dist?

    Homework Statement Let X1, . . . ,Xn be a message from a memoryless source, where Xi are in A. Show that, as n →∞, the proportion of messages in the typical set converges to zero, unless Xi is uniform on A. Homework Equations The Attempt at a Solution Confused, possibly because...
  8. B

    Is information lost if a particle is annhilated by it's antiparticle

    If a particle (let's call it Z) is happily minding it's own business, and a particle-antiparticle pair spawns in it's vicinity (let's call them particle A and B, created from 'zero point' energy), and it just so happens that the antiparticle (let's say B) collides with particle Z before it is...
  9. C

    Best ways in solving cubic equations without information on roots

    Homework Statement Learning to solve cubic equations without the knowledge of any roots, and the easiest way I found out so far is still time-consuming Homework Equations The equation and attempt is shown in the image below, tell me if its unclear :shy: The Attempt at a Solution...
  10. D

    Does the Bekenstein bound apply to gravitational waves as well?

    Here: http://en.wikipedia.org/wiki/Holographic_principle I read: "Entropy, if considered as information (see information entropy), is measured in bits. The total quantity of bits is related to the total degrees of freedom of matter/energy" Bold is mine. Here is my question. I believe that...
  11. M

    Problems with minimal information

    An object dropped from the top of a cliff takes 1.80 s to hit the water below. What is the height of the cliff? I do not know of any equation that would work as only one piece of information has been given I could not even begin my calculations as I lacked information. Is it...
  12. P

    Kinematics problem, is it possible to solve with given information?

    Homework Statement A missile is launched from a silo 50m deep. After 20 seconds the engine stops, there is a 10 second period where the rocket is coasting straight up. At the end of this period, the rocket is 8000m above the ground. a) What is initial acceleration of rocket? b) What is...
  13. C

    Books (or any information material) about the nervous system?

    I appear to have a very specific need, I require some sort of a book that covers the human nervous system from a to z, I need to know everything about it, what it's made of, what each part's function are, how the nerves behave at each particular sections of the body, the calculations that are...
  14. N

    Physics Switching Career from Information Technology to Physics (National Labs) after 40

    Dear All, I have read many threads on second careers including the excellent blog by ZapperZ "So you want to be a physicist" and then reaching out to you all for guidance. First, a brief introduction on myself: Industry Experience:  I am a US Citizen based out of the Northern NJ/ NY...
  15. F

    INFORMATION TECHNOLOGY vs OPERATIONAL MANGEMENT

    Hi there everyone! I am posting after on this forum after quite a while... I am about to make a very important decision regarding my academic career but i am puzzled on which degree would be more beneficial like the title suggests i have the option of "m.sc IT"(mostly concerned with...
  16. A

    Maximum Information transferrable in Radio Waves

    I wondered if people could clear up some misconceptions I have about radio waves. 1) If I have a 800 MHz wave, does this mean 800 Mbits per second can be transferred in theory? Could I not change the amplitude of this wave every 0.00000000125 of a second, So when a receiver is reading it...
  17. P

    Fluid mechanics - is there enough information for this problem?

    Attached the problem. The TA for my class makes up all the damn homework problems, but she has a habit of leaving out important information on every single homework assignment. Sorry for the rant, just had to vent a bit. Unless they want all this in variables, I don't see a way to get a # for...
  18. Darth Frodo

    Where I can find information on the Wireless Networking abilities of my laptop

    Hi guys, I need to do a project for college Does anyone know where I can find information on the Wireless Networking abilities of my laptop? Can some be found in the control panel? Can I find some online? Any help would be greatly appreciated. Thanks!
  19. sweet springs

    Does BH Event Horizon Reveal Information on Mass, Angular Momentum, and Charge?

    Hi. Metric and electromagnetic field outside BH are determined by mass, angular momentum and charge of BH. Does this imply that information of the values of the three parameters come from BH through event horizon? Is it possible? Regards.
  20. A

    Can Police Catch the Speeding Motorist?

    How would I solve this? 2 police officers are standing on a road. A motorist comes at 108km/hr(30m/s) The police take 2 s to assess the situation. Then their patrol car accelerates at 2.5m/s^2 for 15s after the 2s and then continues at uniform speed. How far from the observation point does...
  21. B

    Transmitting Information faster than light?

    Hi everybody. I have always wondered something and have not been able to get an answer. Let us suppose we have a 300.000 km long straight rod. It is of graphene, or any very tough material, of absoulte stiffness, without any displacement or absorption between its molecules. Parallel to the rod...
  22. H

    Can the Holographic Principle Solve the Mystery of Black Hole Information Loss?

    I am trying to get my head round this problem but not having studied it I need some help.
  23. 0

    Pulling information out of a black hole

    Can somebody help me out here. The gravity of a black hole is so strong that nothing can escape it, not even light. If that's the case, why can't another black hole of larger mass be used to extract information from the first black hole? Sort of like how a Siphon works. I imagine some sort...
  24. M

    Teachers giving as little information as possible

    Hello, I am wondering, from a pedagogical point of view, would professors give as little information to the student's. What I mean is, what is the point of deriving a bunch of equations during lecture, and then giving problems not related to a derivation of an equation on the test. I mean...
  25. J

    Mathematica Mathematica: Problem Computing Fisher Information of pdf

    Hello, I'm trying to calculate Fisher information (and eventually the Cramer-Rao lower bound) for this particular pdf with Mathematica: \text{pte}[t,\Theta ] = \frac{P_{\text{ec}}}{\tau _d-\tau _r}\left[e^{\frac{-(t-\Theta )}{\tau _d}}-e^{\frac{-(t-\Theta )}{\tau _r}}\right]...
  26. M

    How can I find reliable sources of information on the LHC and its experiments?

    I'm sorry that this is probably in the wrong place, but I couldn't find a place to post where I am allowed to start threads which was relevant. I'm hopefully starting a degree in particle physics next year, I'm currently in my last year of high school. Myself and one other student at my...
  27. O

    How Do You Wind a Balun for a 500MHz FM Transmitter?

    please i need urgent help please -- Balun information i not not understand how to wound a balum and also the function of a can someone please explain this circuit it is suppose to be a 500m FM transmitter can it perform this function.
  28. D

    Extracting information from Particle Data Group

    In Particle Data Group booklet, many refined determinations of the masses and decay widths processes are collected and listed in a fabulous way. But it is still (at least for me) to find the sources of these Data, I mean from which experiments, FOCUS, or BELLE..., are taken? is there other...
  29. Q

    Schools Universities with PHD programs in Quantum Information Theory

    I will finish my Master studies in theoretical physics next year, and I want to do a PHD in Quantum Information (my main interest). I want to apply to universities in the UK and Germany (right now I restrict myself to these two countries). What are the universities you know of, that have Quantum...
  30. atyy

    Entropy, Relative entropy, Mutual information

    The Bekenstein-Hawking entropy is expected to be, and has been shown to be in some cases, derived from counting states. However, entropy is not defined for continuous probability densities, and so I have heard it said that relative entropy (of which the mutual information is a form) is more...
  31. X

    Why does the which path information collapse the wave function?

    I don't know if I got this right, but as far as I know, if you are able to deduce through which slit the particle went through, it behaves classically, if you have no way of deducing through which slit the particle went through, it behaves in a quantum way (interference pattern). Now, I don't...
  32. T

    A thought experiment (excuse me if I have wrong information, i'm new)

    So, let's think of a world where all the decisions are made by probability, e.g. flipping a coin, and quantum physics was never discovered. Now, let's say they use a device, a contained version of the double slit experiment, except that the particles are supposed to land in one of two...
  33. W

    Fisher Information Matrix: Equivalent Expressions

    I don't understand the following step regarding the (i,j)^{th} element of the Fisher Information Matrix, \textbf{J}: J_{ij}\triangleq\mathcal{E}\left\{ \frac{\partial}{\partial\theta_{i}}L_{\textbf{x}}(\textbf{θ})\frac{\partial}{\partial\theta_{j}} L_{\mathbf{x}}(\textbf{θ})\right\} \\...
  34. N

    Mathematica Mathematica: Extracting histogram information

    Hi I have a histogram of some numbers following a PDF, such as Histogram[RandomReal[1, 100]] What I want is to extract the information contained in this histogram in a list, i.e. get a list of the bin value (e.g. the average value it represents) and the number of entries in it. Is using...
  35. V

    Programs Please give me a brief information of these undergraduate degrees

    (1)CSE(computer science and engineering) (2)ECE(electronics and communication engineering) (3)EEE(electrical and electronics engineering) (4) EE(electrical engineering) (5) SE(software engineering) (6) IT(information technology) what is basic thing that is different in all these trades...
  36. R

    What does the lost information in the wavefunction mean?

    The wavefunction is defined on the domain of complex numbers. To find the probability of discovering a particle in a certain region, the amplitude of the wavefunction is integrated over that region. The problem is that you have an infinite set of complex numbers mapping to a single amplitude...
  37. R

    Information about current transformer

    hello friends...i am facing difficulties in understanding the difference between live type and deadtpe current transformer...and also the advantage of live type over dead type?
  38. S

    Why can information not be transmitted via phase velocity?

    why can information not be transmitted via phase velocity (of a matter wave)? can we not change the phase at will?
  39. F

    Complex numbers from unitarity from information conservation?

    I doing some reading on why the wave-function is complex. From what I can tell, it's due to its evolution by unitary operators. But unitary operators seem to have something to do with information conservation. So I wonder if these idea have been developed somewhere in a concise fashion that...
  40. N

    Information on photo-dissociation and co2

    Hi, I have been reading up on photo-dissociation of CO2 and I all I can find is wiki and a couple other sources. I was wondering if anyone knew of any good sources of information on photo-dissociation of co2. Like on what wavelengths of EM are best and the energy needed to cause the breaking of...
  41. B

    Quantum Information: Why |<φ|exp(iα)|ψ>|^2 Differs

    Why is |<{\phi}|exp(i{\alpha}|{\psi}>|^2 for any alpha not dependent on choice of alpha, but |<phi | exp(i\alpha) \psi >|^2 is dependent on choice of alpha. Also, is there a list somewhere for how to type this garbage on physics forums; I'm used to using TeX maker for writing math, but I always...
  42. J

    Conservation of Information Law

    Is there a conservation of information law? I am particularly interested in the arguments (speculative and experimentally based) that may support a conservation of information law, but need to know the arguments on both sides.
  43. B

    Interesting WWII Public INformation Leaflet

    Here's a leaflet which was distributed over Germany and Poland, apparently during the year 1944 (as it refers to the drop tanks which would have been regular equipment aboard the P-51 Mustang long-range escort fighters then being fielded by the 8th Air Force), by the National Socialist...
  44. C

    Information field giving rise to quantum mechanics.

    "Information field" giving rise to quantum mechanics. Hello. I stumbled upon a video on youtube where quantum entanglement is discussed (). A woman quotes Einstein: "There is no place in this new kind of physics for the field and matter, for the field is the only reality." What did Einstein...
  45. Z

    How can electric potential contain so much information?

    Question is pretty simple and arose when doing one of the usual integrals to find the electric field. This one concerned the field above the middle of a uniform line distribution of charge. If you wish to calculate the field you must take in mind that the horizontal components cancel. However if...
  46. J

    Information on Mechanical Engineering

    Homework Statement Hello i am majoring in engineering and i would like to know from the mouth of an engineer what you guys do all day, what is the average work day like? is it all calculations and math or is it hands on building things? Homework Equations The Attempt at a Solution
  47. E

    Information on Teller–Ulam hydrogen bomb design

    Hi there, I have a question about the Teller–Ulam hydrogen bomb design. This will be a long post , but I hope someone can answer it for me. When the first bombs were created, uranium device was simple enough to to figure out. Two sub critical masses of u-235 joined at... I...
  48. G

    Death and conservation of information

    Hi, it's quite long time I didn't post so let me start by saying that I'm not religious, not even a deist. Let me also say that I'm just a layman intersted in science without any real knowledge of theoretical physics. I'm putting this question from a purely scientific standpoint, without any...
  49. F

    Programs Changing from Computer Science major to Information Technology?

    I am currently a student at USF majoring in Computer Science. I am almost positive that I will be switching to Information Technology after this semester. This is primarily because I do not want a job in software development anymore. I still have 43 credits left to complete the CS program. I...
  50. S

    Any information on an old physics textbook?

    Hi everyone, I apologize if I've placed this in the wrong section. I don't know if anyone will be able to help me with this, but after an exhaustive search of the net, I can't seem to find my answer. There is a university physics textbook that my local public library once had in circulation...
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