What is Index: Definition and 828 Discussions

Indian Institute of Management Lucknow (abbreviated IIM Lucknow or IIM-L) is a public business school in Lucknow, Uttar Pradesh, India. It was established in 1984 as the fourth Indian Institute of Management (IIM) by the Government of India. IIM Lucknow offers post-graduate diploma, fellowship and executive programs in management. It is recognised as an "Institution of Excellence" by India's Ministry of Human Resource Development. IIM Lucknow also serves as the mentor institution for the newly established IIM Jammu, IIM Rohtak and IIM Kashipur. It also served as a mentor institute to IIM Sirmaur till 2018.The institute is on a 200-acre site in the northern outskirts of Lucknow. It also has a second campus on a 20-acre site at Noida exclusively for one year full-time MBA program (IPMX), Two-year PGP for working executive and executive education. The admission for the two-year PGP and fellowship programmes is done through Common Admission Test (CAT), while GMAT score is used for International Programme in Management for Executives, a one-year full-time residential programme equivalent to an MBA program, while admission to the Two-year PGP for working executive program is done based on GMAT score or a competitive written examination conducted by IIM Lucknow. The shortlisted candidates based on GMAT or the written examination go through the Writing Ability Test and Personal Interview (WAT & PI) to get final selection. The programs are accredited by the global accreditation body AMBA and AACSB. The institute has tie-ups with 24 leading B-schools across the world for student exchange. A number of b-competitions, cultural and sports events are organised by various clubs, academic interest groups and committees throughout the year.

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  1. G

    Just some help with index notation

    Homework Statement hey just wondering if anyone could show the the working for the index notation in the attachment it would be greatfully appreciated. thanks. the answer is there I am just looking for the working. Homework Equations The Attempt at a Solution
  2. T

    Abstract Algebra - Subgroups of index 2 in R*

    Homework Statement I am having trouble understanding how I would go about finding all subgroups of index 2 in R*, the multiplicative group of nonzero real numbers. Any hints will be greatly appreciated. Homework Equations The Attempt at a Solution
  3. W

    Index of refraction for vegetable oil

    A glass rod seems to disappear when it is placed in vegetable oil. Based on this observation, predict the index of refraction for vegetable oil.
  4. T

    Spinor index notation craziness

    I'm differentiating with respect to Grassman variables, and I'm getting something very inconsistent: Suppose \xi and \chi are two-component, left-handed, grassman-valued spinors. Now, I take derivatives with of the product, \xi^a \chi_a, respect to \xi two different ways, and denote their...
  5. A

    Levi-Civita Tensor: Index Interchange Identity

    Does the following identity hold?: \epsilon_{ijk} a_j b_k = -\epsilon_{ijk} a_k b_j
  6. J

    Index of refraction and speed of light.

    Oh btw, this is not a homework question! just got it somewhere. Light travels in a medium of n=1.2 at c1. what is its speed in a medium of n=1.6? a)1.3c1 b)0.67c1 c)2c1 d)1.7c1 e)0.55c1 my solution: using n=c/v, 1.2 = c/c1. also, 1.6=c/c2. c2= c/1.6. but c=1.2c1 So, c2=(1.2/1.6)...
  7. J

    Refractive index snell's law help

    refractive index... snell's law... help! Hi, im having a LOT of trouble with what seems like a basic question. i have been stressing over this for nearly 3 hours now. can anyone help me out? here it is: Light propagating from water into air is incident on the water surface at the angle of...
  8. S

    Exploring Different Methods for Measuring Refractive Index

    I am currently undergoing advanced higher physics and my investigation is on measuring refractive index. I have conducted 3 experiments so far: the standard ray lamp experiment from higher and two different versions of the apparent depth method. However, these experiments have been simple and...
  9. F

    Index notation for vector id's

    Homework Statement Prove vector identity \nabla x\nabla\phi = 0 using index notation. Homework Equations \nabla x A = Ejrt\partialrAt The Attempt at a Solution I'm treating this as \nablax A, where A = del \Phi = Etpq\partialp\Phiq putting A back in the equation: =...
  10. R

    Index of refraction of an optical fiber

    Homework Statement The glass core of an optical fiber has an index of refraction 1.62. The index of refraction of the cladding is 1.47. What is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber? Homework Equations theta = sin ^-1...
  11. F

    Quick Miller Index Lattice Problem

    Homework Statement Indicate the (111) and ([11]0) ([11] has an over line, so is negative, don't know how to do on forums!) planes in a cubic lattice in a diagram, then calculate the angle between them. The Attempt at a Solution I think I have drawn this right (see attatchment), but I am...
  12. I

    Study Lie Groups: G. 't Hooft's SU(2) Index Convention

    I'm studying Lie groups using G. 't Hooft's tutorial: http://www.phys.uu.nl/~thooft/lectures/lieg.html In page 34, he introduces superscript and subscript indices starting from equation 6.27: \phi_{\alpha} \rightarrow \phi_{\alpha}' = X_{\beta}^{\alpha}\phi^{\beta} What is the...
  13. I

    Surface Energy of Miller Index Cross Sections

    ℽ = ½Nbερa ℽ = surface energy Nb = number of broken bonds ε = bond strength ρa = surface atomic density ℽ{100} = (½)( 2 / a2 )(4)(ε) ℽ{110} = ( 5 / sqrt(2) )( ε / a2 ) ℽ{111} = (2sqrt(3))( ε / a2 ) the supplemental picture shows a cube with atoms at each corner and one atom in...
  14. D

    Reflection and Refraction, much index of refraction

    Homework Statement 1. The index of refraction for water is 1.33 and that of glass is 1.50. a. What is the critical angle for a glass-water interface?b. In which medium is the light ray incident for total internal reflection?Homework Equations nisin\varthetai=nrsin\varthetarThe Attempt at a...
  15. K

    How to deal with index in the problem of thermal field?

    In the problem of harmonic oscillator, for single mode, that is, the energy H = \hbar\omega(n + 1/2) It is easy to find the average of energy by considering the density operator <H> = \frac{Tr(He^{\beta H})}{Tr(e^{\beta H})} But for multimode (assume no polarization), we have to...
  16. B

    Determining Miller Indices of High Index Planes

    Hi, can anyone explain how miller indices can be determined for high index planes? For example, why is it that (544) = (S)-[ 9(111) x (100) ] I tried to figure it out but i could no find a pattern Thx in advance
  17. S

    Interferometer, Index of refraction of a gas

    Homework Statement One of the beams of an interferometer, as seen in the figure below, passes through a small glass container containing a cavity D = 1.34 cm deep. When a gas is allowed to slowly fill the container, a total of 222 dark fringes are counted to move past a reference line. The...
  18. M

    Index of Refraction: n1 * sin(theta1) = n2 * sin(theta2)

    Homework Statement A beam of light is emitted 8.0 cm below the surface of an unknown liquid. The light beam is angled in a way that it strikes the surface 7.0 cm from the point directly above the light source. The light beam is totally internally reflected. What is the index of refraction of...
  19. J

    Refraction index vs. wavelength?

    How does the refraction index vary with wavelength? For example, if you take light that initially has just one wavelength and disperse it through a prism and calculate the different indices for each wavelength. I'm guessing they'll be different... Is it linear? exponential? etc.
  20. E

    Subgroups of Relatively Prime Index

    Homework Statement Let H and K be subgroups of G of finite index such that [G:H] and [G:K] are relatively prime. Prove that G = HK. The attempt at a solution All I know is that [G:H intersect K] = [G:H] [G:K]. What would be nice is if [G:HK] = [G:H] [G:K] / [G:H intersect K], for then I...
  21. L

    How Can I Type and Format Index Cards in Microsoft Word?

    Hey guys, Sorry i coudln't find an appropriate forum for this topic, but I need to make index cards for some vocab words. It is much easier/quicker/neater if i were to type them on paper then cut them out like index cards. I only have the new word, i think its microsoft word 2008, and i can't...
  22. M

    Dyadic Product and Index of Refraction

    Dear readers, In my recent study of dyadic products I found out that physical quantities expressend as 2nd rank tensors can also be expressed as a dyadic product of two vectors. Similarly 2nd rank tensor fields can be expressed as pointwise dyadic products of two vector fields. One such...
  23. S

    Making negative refraction with positive index material

    I was thinking about and I think it might be possible, but before I do anything stupid, anything have an opinion about this?
  24. S

    Question- abstract index notation

    How does abstract index notation work? What do the the indices represent? I know the Lorentz transformation tensor in arbitrary direction, so if you want to use a specific tensor in an example, that would be a good one.
  25. J

    Simple Index of Refraction Question - chart

    Homework Statement what is the minimum value that the index of refraction can have? Homework Equations n1sin\Thetai = n2sin\Thetar The Attempt at a Solution my choices are: A - between 0 and 1 B - +1 C - -1 D - 0 all listed values in my given chart are...
  26. M

    Finding index of refraction using wavelength and 2 angles?

    Finding index of refraction using wavelength and 2 angles?? I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...
  27. Helios

    Gravitational index of refraction

    Suppose an experimenter firstly is entirely ignorant of general relativity and non-euclidean space. He finds (say) a point-source gravitational field. He fires light beams about and notices the deflection. He concludes that there's a not-equals-one index of refraction n about the source point...
  28. D

    Normal Subgroup of Prime Index: Properties

    Show that if H is a normal subgroup of G of prime index p, then for all subgroups K of G, either (i) K is a subgroup of H, or (ii) G = HK and |K : K intersect H| = p.
  29. F

    Prove G=HK When G, H, K are Finite Subgroups of G

    Homework Statement Let G be a group and let H,K be subgroups of G. Assume that G is finite and that the indices |G:H| and |G:K| are relatively prime. Show that G=HK. Hint: Show that |G:H(intersect)K| is divisible by both |G:H| and |G:K| and then use the counting principle for |HK|.The Attempt...
  30. P

    Calculating Curl With Index Notation

    Hi, does anyone know a link showing how to calculate curl with a Levi-Civita tensor. I can't figure it out but I am sure if I could see an actual example would be able to work out what is going on. Thanks.
  31. M

    Finding refractive index of liquid with no parallax principle

    In physics class we did an experiment where we dropped a metal pin in a beaker of water, covered half the beaker with a mirror and clamped another metal pin above the beaker. We had to find the refractive index of the water by measuring the apparent depth of the submerged pin and dividing it...
  32. C

    Miller Index Problem - Is it (102) or (112)?

    Can somebody tell me what is the miller index for the tilted plane? Is it (102) or (112)? Nothing seems to fit... I wonder if we can even describe it with miller index? Please download the picture here in pdf format: http://www.megaupload.com/?d=F8J344BH Thanks!
  33. N

    Why Refractive Index Varies with Wavelength of Light

    Homework Statement We learn from school that when we shine white light through a prism, dispersion occurs. This is because the light of varying wavelengths are refracted to a different extent due to how refractive index varies with the wavelength of light. So why does refractive index vary...
  34. D

    [x-ray physics] refractive index

    There doesn't seem to be any difference between n = (1-\delta) - i\beta (the refractive index in the x-ray regime, where 1-\delta is the real part and \beta is the the absorption index) and n^{\ast} = n - ik (the complex refractive index, where n is the refractive index and k is the...
  35. S

    Finding Index of Refraction (n) Using θi and θr

    1. In an experiment to find the index of refraction, n, of a block of glass, the angle of incidence, θi, and angle of refraction, θr, were measured a number of times as follows: θi: 10° 20° 30° 40° 50° θr: 7.0° 13.5° 20.0° 25.5° 31.0° Given that the relationship between n, θi and θr is...
  36. L

    What is the ideal refractive index difference for achieving invisibility?

    I was wondering how close 2 refractive Indexes have to be in order to be not visible? I currently have a glass fiber at 1.521 and am researching resin systems to match and so far have 2 - one at 1.506 and the other at 1.4736. I know which one is better (1.506), but is it close enough to...
  37. G

    Index of Refraction & Frequency: Clarifying the Relationship

    I was wondering if someone can clarify the relationship between index of refraction and frequency. I know that when light is entering into a high index of refraction (say air to glass) that the index is increasing, light bends towards the normal, the speed decreases, and wavelength becomes...
  38. E

    Find index of refraction of the prism for 2 wavelengths

    Homework Statement Homework Equations Snell's Law: na*sin(theta of a) = nb*sin(theta of b) wavelength = index of refraction / n n = c / v The Attempt at a Solution The only information given in the problem is the 2 angles of refraction and of course n of air is 1, I do not understand how to...
  39. M

    Transforming Index to Matrix Form for Amateurs

    Hi everybody! I have a question concerning tensors and hope you could help me :) http://www.rzuser.uni-heidelberg.de/~mbernha3/tensoren.pdf I would like you to look at expressions 13 and 16 :) I hope you won't be bothered by the fact the file is in German. I'm was wandering how these...
  40. I

    Relative Permittivity and Refractive Index

    in relating the index of refraction to the relative permittivity (dielectric constant/function). it is known that n = \sqrt{\epsilon_r} for optical frequencies (i.e. \mu_r=1. now this website http://hyperphysics.phy-astr.gsu.edu/Hbase/tables/diel.html#c1 gives the relative permittivity of...
  41. F

    News American Human Development Index report released

    http://www.measureofamerica.org/ & WOW is there some appalling stuff about the so-called "world's only superpower," if anyone cares. Here are some tidbits that stood out for the British media...
  42. P

    Index of Refraction in a prism

    Homework Statement The light incident on a 45 degree prism undergoes total internal relfection at point P. What can you conclude about the index of refraction in the prism? (Determine either a minimum or maximum) This is a right triangle, with the two other angles being 45 degrees and...
  43. berkeman

    Medical Using Ankle Brachial Index to evaluate Cardiovascular Risk

    I saw this pretty interesting article today: more... http://www.medicalnewstoday.com/articles/114271.php Here is more info on how to obtain the ABI: more... http://www.guideline.gov/summary/summary.aspx?ss=15&doc_id=5393&nbr=3696#s22 I'm pretty good at taking my own brachial...
  44. Z

    How to understand the refractive index of metals

    for an example, polycrystalline silver, its index is n=0.135 and k =3.999 at the wavelength of 633nm, what does the nk mean, is that telling us the wavelength in the silver equals 633/0.135 nm ? and how to calculate the refractive angle in the metal? Give a good explanation, please.
  45. E

    Refractive index of Martian atmosphere near surface

    Hi folks, Does anyone have a good reference for the refractive index of the near surface Martian atmosphere? (Or alternatively, the means to estimate it from readily available data!) I'm struggling to think of an equation for which I've got enough of the variables to be of use, (for...
  46. A

    Exploring the Formation of Rainbows - Measuring Refractive Index

    Homework Statement The diagrams below illustrate the formation of a rainbow. Figure 1 shows the general arrangement and Figure 2 shows the path of a ray through a raindrop with the centre of the raindrop is labelled O. Figure 1: Figure 2: a.) Where the ray enters the raindrop in...
  47. morrobay

    Index of refraction = sqrt dielectric constant

    Can someone explain in terms of electric fields how the index of refraction squared = the dielectric constant of the material ?
  48. wolram

    Crackpot Index & Leading-Edge Research: Applying It?

    And applying it to leading edge? research http://physicsbuzz.physicscentral.com/2006/10/string-theory-loop-quantum-gravity-and.html May be this is some what tongue in cheek? or are these theories open to crackpottery.
  49. 3

    Refractive index and speed of light

    Homework Statement A slab of glass has a refractive index of 1.3. What will be the speed of light in this glass? Homework Equations The Attempt at a Solution \frac{sin i}{sin r}=1.3 ?
  50. A

    Finding the Index of Refraction from Pressure & Temp

    For Snell's law n2sin(theta2)=n1sin(theta1), I know that air has an index of refraction of approximately 1. But how do I find the actual value for the index of refraction if I know the temperature jump and pressure? I know that from what I am given, I can find the densities of the air, but then...
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