What is Index: Definition and 827 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.

View More On Wikipedia.org
Recent contents Top users
  1. N

    How does Band Gap and Refractive index relate to Wavelength?

    Homework Statement Nobel prize for physics for blue laser diode using Gallium Nitride with band gap of 3.4 eV and a refractive index of 2.429. Explain how these parameters determine at what wavelength a Gallium Nitride semiconductor will laser at. Homework Equations E=\frac{hc}{\lambda}...
  2. N

    Understanding Index Notation: Simplifying Tensor and Vector Equations

    Hello all, long time lurker, first time poster. I don't know if I am posting this in the proper section, but I would like to ask the following: In index notation the term σ_{ik}x_{j}n_{k} is \bf{σx}\cdot\bf{n} or \bf{xσ}\cdot\bf{n}, where ##σ## is a second order tensor and ##x,n## are vectors...
  3. Vaibhav Sahu

    Snell's law for an interface with variable refractive index

    Consider an interface along x-axis which separates two media. The medium below y = 0 is air or vacuum and light is incident from this medium onto the surface. The refractive index of the medium above y = 0 varies with x as some function of x : μ = f(x). Does the Snell's law still hold good ?? If...
  4. J

    Index of refraction from reflected light (polarised)

    Homework Statement A beam of light is reflected from the surface of some unknown liquid, and the light is examined with a linear sheet polarizer. It is found that when the central axis of the polariser (that is, the perpendicular to the plane of the sheet) is tilted down from the vertical at an...
  5. D

    QFT Index Notation: A Beginner's Guide

    Hi. I'm just starting QFT for the first time. I've just finished a course in relativity but I'm confused about the index notation I've found in QFT. Here are 2 examples yi = Σ Mij xj and yj = δij yi . These examples don't seem right after what I have learned in relativity unless the index...
  6. SrVishi

    Other Potential Thread Idea: Subject Index

    First of all, I'm sorry if this is not the right place to put this, but I thought it would be relevant to a science/math resources forum (so feel free to move this or do whatever). One idea I was considering is if there could be a thread that contained an index of important things that one...
  7. I

    Q: Refractive index in phase contrast microscopy

    If you're using a phase contrast microscope and the refractive index of the medium is equal to the refractive index of the cell, what are you able to see? I guessed that you wouldn't see anything, but apparently that's wrong. The only options are membranes, vesicles, the nucleus, pigment...
  8. P

    Two Prisms connected by a material of refractive index n

    Homework Statement The prisms have a refractive index ##n_1=1.3## at wavelength ##\lambda=300nm## and are connected by a material with refractive index ##n_2##. What is the refractive index ##n_2## so that light of wavelength ##>\lambda## follow path 2, and light at ##<\lambda## follow path 3...
  9. Mnemonic

    Law of Refraction with changing index of refraction

    Homework Statement A light ray enters the atmosphere of the Earth and descends vertically to the surface a distance h = 101.2-km below. The index of refraction where the light enters the atmosphere is n = 1.00 and it increases linearly with distance to a value of n= 1.000293 at the Earth's...
  10. H

    Proving (A_{ik}B_{kj})_{mm} = (A_{ki}B_{jk})_{mm}: Index Notation Question

    I am having trouble showing that ##(A_{ik}B_{kj})_{mm} = (A_{ki}B_{jk})_{mm}## Wouldn't the right side end up having a different outcome? Or can we assume its symmetric?
  11. H

    Index Notation, multiplying scalar, vector and tensor.

    I am confused at why ##V_{i,j}V_{j,k}A_{km,i}## the result will end up being a vector (V is a vector and A is a tensor) What are some general rules when you are multiplying a scalar, vector and tensor?
  12. D

    Index Gymnastics: 2 More Questions

    Hi. Got 2 more questions on index placements. 1 - I found the following on an exam paper and it seems wrong to me. It concerns a weak perturbation to the Minkowski metric gik = ηik + hik. It then states that to first order in hik the contravariant metric tensor is gik = ηik - ηinηkmhnk. This...
  13. H

    Index Notation, taking derivative

    Can anyone explain how to take the derivative of (Aδij),j? I know that since there is a repeating subscript I have to do the summation then take the derivative, but I am not sure how to go about that process because there are two subscripts (i and j) and that it is the Kronecker's Delta (not...
  14. J

    Index Notation Help: Solve [a,b,c]^2

    1. The problem is: ( a x b )⋅[( b x c ) x ( c x a )] = [a,b,c]^2 = [ a⋅( b x c )]^2 I am supposed to solve this using index notation... and I am having some problems. 2. Homework Equations : I guess I just don't understand the finer points of index notation. Every time I think I am getting...
  15. S

    Solve Refractive Index Homework: Order of Interference & n

    Homework Statement I have set up an experiment such that microwave is converged and beamed to a polymer slab and the reflected wave is measured. I have recorded angle of incidences from 15 to 90 degree and I found out that at 80 degrees, the output is the highest, while at 45 and 85 degrees...
  16. A

    Refractive Index: Variations & Formula Proof

    Hi 1)Does refractive index varies when we are dealing with different waves? for example the refractive index for a typical glass is 1.5 when a visible light passes through it. Does it the same for x rays? 2) there is a complex formula which describes the refractive index: n = 1- δ - iβ. how is...
  17. G

    Refractive index in the ultraviolet region

    When white light is refracted in a prism, we can see that blue color has the strongest refraction: the shorter the wavelength, the strongest the refraction. But the electromagnetic radiation with very short wavelength (X-rays) are not refracted by an amorphous solid such as glass: most part of...
  18. D

    Formula from finance: decomposition, overnight index swap

    Homework Statement Hello! Please, take a look at the picture attached. I would be grateful for the step by step explanation of the math equation; how it has been derived from f/s (1 + libor eur) - (1 + libor dol) to the one with logs? Homework EquationsThe Attempt at a Solution Thank you very...
  19. C

    Index of Refraction Measurement Uncertainty

    Hello All, I am having some issues with calculating the measurement uncertainty when there is a mismatch in the index of refraction between a fluid and an interface. If am using an unobtrusive measurement technique such as Laser Doppler Velocimetry, how would I be able to quantify the...
  20. Prof. 27

    Python DEAP Library -- List index out of range error

    Homework Statement So I'm currently modifying an example Symbolic Regression program that uses genetic programming, a type of evolutionary algorithm. I'm using the python deap library. Not sure if anyone on here is familiar with it, but I think that the error is more general to a misuse of...
  21. D

    Is Λa_b the Same as Λba in Tensor Notation?

    Index notation in GR is really confusing ! I'm confused about many things but one thing is the order of index placement , ie. is Λa b the same as Λba ? And if not what is the difference ? Thanks If anyone knows of any books or lecture notes that explain index gymnastics step by step...
  22. H

    Dependence of Radiation Absorption on Refractive Index

    I am reading the text 'thermal radiation heat transfer' by Howell et al. (2011). In it they describe normal spectral emission by an isothermal volume element dV as 4\pi \kappa_\lambda I_{\lambda b}(S)dVd\lambda where \kappa_{\lambda} is the absorption coefficient and I_{\lambda b} is the...
  23. S

    Ordinary and extraordinary refractive index

    Homework Statement From an uniaxial crystal, a 0.7 mm thick plate is cut out in a way that the optical axis is parallel to the surface. A light falls perpendicular to the surface (circular polarization) with 500 nm. After the crossing of the plate, the light has elliptical polarization and the...
  24. marcis

    Optics problem --- absorbtion index

    Hello I have an optic problem I want to calculate absorbtion index I know transmittance by 90% ;refraction index to material 1.586 ; thickness 2 mm ; power of source 21 lm
  25. J

    Raising Index of Electromagnetic Energy Momentum Tensor

    The General Relativity text I am using gives two forms of the Electromagnetic Energy Momentum Tensor: {\rm{ }}\mu _0 S_{ij} = F_{ik} F_{jk} - \frac{1}{4}\delta _{ij} F_{kl} F_{kl} \\ {\rm{ }}\mu _0 S_j^i = F^{ik} F_{jk} - \frac{1}{4}\delta _{ij} F^{kl} F_{kl} \\ I don't see how these...
  26. Samurai44

    Calculating Critical Angle: Relative vs. Absolute Refractive Index

    Greetings, Do we use Absloute refractive index when finding crtical angle ? if it was two mediums ( not vacuum or air) how would i calculate the critical angle ? I mean i get confused when I find relative refractive index because sometimes i get sine inverse greater than 1 which give no...
  27. S

    Proving (partial mu phi)^2 = dot phi^2 - (nabla phi)^2 in Index Manipulations

    Homework Statement Prove the following: ##(\partial_{\mu} \phi)^{2} = \dot{\phi}^{2} - (\nabla \phi)^{2}##. Homework Equations The Attempt at a Solution ##(\partial_{\mu} \phi)^{2}## ## = (\partial_{\mu} \phi)(\partial_{\mu} \phi)## ## = (\partial_{0} \phi)(\partial_{0} \phi) +...
  28. K

    Where does band index come from in block wave functions?

    Can you show me as explicitly as possible through equations?
  29. Robsta

    Interferometer to measure refractive index of a gas

    Homework Statement I've uploaded a diagram showing a two beam interferometer that can be used to monitor changes of refractive index in a gas cell. it is illuminated with monochromatic light of wavelength λ. The light is linearly horizontally polarised. The two polarizing beam splitters (PBS)...
  30. M

    Determining the focal length of a gradient index lens

    Homework Statement There are three subquestions in this question, all marked bold. Let's consider a gradient index lens of thickness ##d##, whose refractive index changes with the distance from the axis with the following formula $$ n(r) = n_1 + a r^2 $$. Determine the lens's focal length...
  31. binbagsss

    Raising Indices with Minkowski Metric: Solving Weak Field Approx

    I have the expression ##g_{ab}=\eta_{ab}+\epsilon h_{ab}##, The indices on ##h^{ab}## are raised with ##\eta^{ab}## to give ##g^{ab}=\eta^{ab}-\epsilon h^{ab}## I am not seeing where the minus sign comes from. So I know ##\eta^{ab}\eta_{bc}=\delta^{a}_{c}## and...
  32. J

    Help with radius of curvature and refractive index of lens

    Hi, I am a first time poster and I am completely lost with this question. Any help would be greatly appreciated Filling the space between a contact lens and the cornea is a small quantity of liquid of refractive index of 1.336. Assuming the refractive index of the lens material is 1.490 find...
  33. T

    Covariance betw scalar amplitude & spectral index in Planck?

    I am reading some of "Planck 2013 results. XXII. Constraints on inflation." The paper is full of values for various inflationary parameters under various models, with their confidence intervals. For instance, in Table 5 on page 13, the authors report that — for a model including both running of...
  34. P

    Master Index Notation: How to Ensure Accuracy in Calculations

    I'm not sure if this step on my calculation is correct or not...
  35. RaulTheUCSCSlug

    Solving index of refraction for Total Internal Reflection

    Homework Statement Homework Equations Snell's Law n1sin(theta_1)=n2sin(theta_2) Total Internal Refraction: sin(theta_c)=(n_2/n_1) lambda_n=lambda_n The Attempt at a Solution So I drew the triangle and this is what I got, and well here is just a picture so far of what I have. [/B] I've...
  36. R

    How to control the refractive index?

    How can I control the refractive index on a material, I mean on what depends the refractive index? Because I am trying to create like a controlable light diffuser mechanism. Thanks and regards.
  37. fissionary

    Polarization and refractive index

    Is there any relation between refractive index and polarization?
  38. S

    Does the refractive index law change according to the medium

    The refrative index law should be sine(i)/sine(r) but in the answer he done the opposite. I included the answer in the bottom of the question.
  39. C

    Index-Free Decomposition of Derivative Timelike Congruence

    Suppose we have a general timelike congruence of curves with tangent vector field ##V##, then the standard decomposition of the covariant derivative in index form (see e.g. Hawking and Ellis' "Large scale structure of space and time" equation 4.17) is given by $$V_{a;b} = \omega_{ab} +...
  40. AdityaDev

    Changing electric field and refractive index

    I am learning sky wave propagation and in my book, a relation between refractive index, dielectric constant and electro field strength is given. \mu=\mu_0\sqrt{1-\frac{Ne^2}{\epsilon_0m\omega^2}} Is this a form of Kerr opto-electric effect? How do you get this expression? If you think I cannot...
  41. S

    Refractive index change in Piezoelectric material

    Hello all, whether the Refractive index of piezoelectric materials (Example: Polyvinylidene fluoride-PVDF ) changes by the application of pressure, strain or force ?
  42. arpon

    Path of Light in Time-Varying Refractive Index: Straight or Curved?

    Homework Statement Suppose, light is passing through a liquid whose refractive index is time-varying. What will be the path of light ray ? Will it be a straaight line or curve ?Homework EquationsThe Attempt at a Solution I think, it will be a straight line.
  43. K

    Solving Tensor Index Manipulation Confusion

    I am making mess of the following expression.. i have following expression ## \frac{\partial{g}}{\partial{g_{\mu j}}} *g_{\nu j}=g \delta^{\mu} _{\nu} ## then I have sum over j only in the above expression. But above expression is nonzero only when ##{\mu}## is equal to ##\nu##. So we have ##...
  44. S

    What is the index of refraction of the glass in this reflection problem?

    Homework Statement Unpolarized light hits a flat glass surface, 37.5 degrees to the surface's normal. The reflected light's polarization is investigated with a polaroid. The relationship between the max and min value of intensity from the polaroid when it is rotated is 4.0. What is the index of...
  45. R

    Refractive Index change with Wavelength & Carrier Concentration

    I need to calculate the refractive index of a semiconductor material over a wavelength range (1×10-5m - 1×10-9m) and with different values of electron and hole carrier concentrations (i.e. n/p doped). I found this equation that relates those parameters: n+ik = √ [ (εm -...
  46. C

    Index of Refraction Through a Cylindrical Tube

    Hello All, I would like to start learning how to ray trace but the tracing through a tube with a thickness of t has got me stumped. If I have an n1 (outside tube), n2 (Tube), and n3 (inside tube). n1≠n2≠n3. Knowing Θ1 (the angle of incidence in relation to the normal), I can calculate Θ2 from...
  47. S

    Vessel with liquids having different refractive index

    1.Problem: A vessel is quarter filled with a liquid of refractive index A. the remaining parts of the vessel is filled with an immiscible liquid of refractive index 3A/2. The apparent depth of the vessel is 50% of the actual depth. the value of A is? 1)1 2)3/2 3)2/3 4)4/3 Solution: 1...
  48. JonnyMaddox

    Translation from vector calc. notation to index notation

    Hi, I want to translate this equation R_{\hat{n}}(\alpha)\vec{x}=\hat{n}(\hat{n}\cdot\vec{x})+\cos\left(\alpha\right)(\hat{n}\times\vec{x})\times\hat{n}+\sin\left(\alpha\right)(\hat{n}\times\vec{x}) to index notation (forget about covariant and contravariant indices). My attempt...
  49. U

    Index Notation: Understanding LHS = RHS

    I was reading my lecturer's notes on GR where I came across the geodesic equation for four-velocity. There is a line which read: Summing them up, \partial_i g_{aj} u^i u^j - \frac{1}{2} \partial_a g_{ij} u^i u^j = \frac{1}{2} u^i u^j \partial_a g_{ij} I'm trying to understand how LHS = RHS...
  50. F

    Finding the Index of Refraction in a Prism

    Homework Statement A ray of light passes through a prism, making the minimum angle of deviation. The rays enter and emerge at 37degree from the normal to the surface. What is the index of refraction of the material, if the prism angle is 50degree?[/B]Homework Equations...
Back
Top