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.

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  1. V

    Relation between temperature and refractive index

    whats the relationship between the temperature of water and its refractive index?
  2. B

    MATLAB MATLAB newbie: how to index a string array?

    I'm a Matlab newbie. I have an array of strings, for example: header = {'Fred', 'Tom'} When I do: header(1) I get 'Fred' I want to be able to change elements--for example: header(1) = 'Jill' But I get this error: ? Conversion to cell from char is not possible. I would be...
  3. A

    Need refractive index for Radio wave propagation model

    I am modelling a radio wave propagation simulator for a Wifi at 2.4 Ghz. I know that the refracted index of glass for light is around 1.5, how do I translate this to a 2.4 Ghz radio wave. And what about other materials, such as concrete, brick wall etc. Thanks.
  4. T

    Dispersion Relations and Refractive INdex

    Homework Statement The conductivity of a plasma is defined as \sigma = i\frac{Ne^{2}}{m\omega} where N is the electron density. a) Prove the refractive index is: n = \sqrt{1- (\frac{\omega}{\omega_{p}})^{2}} with \omega_{p} = \sqrt{\frac{Ne^{2}}{m\epsilon_{0}}} b) Show the Attenuation...
  5. S

    Calculating string given index in Cartesian Set

    Hello all, I'm new, so please go easy on me if this is a silly question. If I have a source set of characters, say: "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789!\"#$%&'()*+,-./:;<=>?@[\\]^_`{|}~ " And I compute the Cartesian product of this source set (sort of). This gives...
  6. W

    Light through a medium with variable refraction index

    Homework Statement This is from hand and finch. We proved in the previous problem that (using euler lagrange equation): x=\int_0^y\frac{dy}{\sqrt{\left(\frac{n[y]}{n_0}\right)-1}} where n_0 is the refractive index at y=0 and x=0. The ray enters horizontally. As an actual computation...
  7. H

    Clement Desmorme's experiment for Adiabatic Index gamma

    Homework Statement Basically the experiment itself can be found in here: http://www.ce.tuiasi.ro/romana/publicatii/cursuri/radinschi_fizica/Lab2%20engleza.pdf or here: http://blog.cencophysics.com/2010/02/clement-desormes-experiment/ The experiment and all the necessary calculations...
  8. naima

    A question about index notation

    Could you please tell me what means B_{[ij} B'_{kl]} where B and B' are bivectors I found it in http://arxiv.org/abs/hep-th/0311162" look at lemma 2.4 thanks
  9. M

    Refractive Index at Critical Angle: Find the Solution

    Homework Statement a ray of light traveling through glass is incident at the interface with air at an angle of 30 deg to the normal. if the ray is refracted at the critical angle, what is the refractive index of the glass? Homework Equations none The Attempt at a Solution sin...
  10. P

    DSB-AM Modulation Index for Multitone Signals

    Homework Statement A carrier wave has an rms voltage of 10V. It is modulated by a signal having compenents of frequencies f1 and f2 and the rms voltage of the modulated carrier rises to 11.5V. If the modulation index due to one of the components is 60%, calculate the modulation index for...
  11. M

    Refractive index equation help

    Refractive index is defined as n = speed of light in a vacuum / speed of light in medium Since both speed of light in a vacuum and speed of light in medium are real number, refractive index also has to be real. But we know that in general refractive index is complex. So what actually is...
  12. S

    EM Theory: Refractive index of water

    Homework Statement Problem: Sea water has k = 80 in the low frequency limit. Yet its refractive index is around 1.34. Explain the discrepancy Homework Equations For a non magnetic dielectric medium, the absolute refractive index in the low frequency range, is given by : n = √k...
  13. Y

    How to denote tetrad in Abstract Index Notation ?

    I like Penrose's Abstract Index Notation very much. I am familiar with using Abstract Index Notation to denote Coordinate Basis. But when I try to denote tetrad with Abstract Index Notation, I meet problems. How to denote tetrad in Abstract Index Notation?
  14. N

    Index of Refraction: Find Coating & Thickness for 600nm Wavelength

    I'm stuck on a homework problem. It states the wavelength is 600 nm and the glass lens has an index of refraction of 1.40. Find the index of refraction for the coating and the required thickness. I've googled around, but I'm not sure what equations I should be using. I got 1.183 for the...
  15. M

    Refractive index of materials at rf frequencies to make a smaller wire antenna

    I would like to ask a few questions. Does a table of refractive indices of materials at rf frequencies (say for TV) exists? Is there a way for me to estimate it for some materials? Are the refractive indices of these materials higher? Will those materials have low absorption losses at these...
  16. A

    Index of Refraction, Snell's Law, and Brewster's Angle

    Homework Statement This was for a lab experiment, and I'm still not sure how this all fits together. We were supposed to use snell's law to find the index of refraction for the lab bench. We measured from the top of the bench to our eye level, and to the center of the bright spot seen...
  17. E

    What Refraction Index Makes an Object Appear at Infinity in a Crystal Sphere?

    Homework Statement Let’s say you have a transparent crystal sphere, on the far side you cast colored glass. By choosing the right refraction index, the image of glass corn would appear located at infinity (when you look from the other not colored side). Suggest a refraction index...
  18. U

    Index of Refraction Homework: Investigating Snell's Law

    Homework Statement In a lab we did, we verified Snell's Law of Refraction by measuring the index of refraction for water. We filled a plastic half-circle with water and drew a line normal to the flat side. We measured an angle 30 degrees from the normal line (called the incident ray). We...
  19. S

    Finding the index of refraction

    Homework Statement I'm not sure if this can be answered without the picture but I can't get it posted. The problem gives theta(incident) and theta(r). It's a basic refraction through a transparent plastic piece. It askes for the index of regraction of this material. Homework Equations...
  20. R

    How can I obtain a unique solution for my index finger modeling problem?

    I am trying to build an index finger model but come to a problem, which I can not get over, on abduction/adduction movement at metacarpophalangeal(MCP) joint. Model description: My model is used to predict fingertip isometric force generation. There are 3 joints considered. There is two DoF...
  21. S

    Reflection of light with known refractive index.

    This is for my 1st year undergrad course but it feels quite basic and not worthy of the 'Advanced Physics' section. Yet there's one thing I'm confused about - I have the answer, just something I don't understand. Homework Statement Light falls normally on a glass surface. What fraction of the...
  22. T

    Optics, involving index of refraction

    Homework Statement At what distance below the surface of a lake will a fish have a 180 degree field view above the water surface (if the fish is looking up toward the surface of the lake) ? -Assume the index of refraction for water to be 1.33 and that of air to be 1.00 Homework...
  23. L

    Finding Brewster's Law - Relation between Io and Refractive Index n

    Homework Statement Using your knowledge of perpendicularity between the reflected and refracted rays at the polarising angle, find brewster's law, a relation between Io (the angle to the normal) and the refractive index n. The relation consists of no other variable or physical constant No...
  24. K

    Variations in Refractive Index of atmosphere with altitude ?

    Variations in Refractive Index of atmosphere with altitude ?? The queries i have are related to refraction of light. 1. How does the refractive index of air vary with the altitude ? If possible explain the reason for change. 2. Does the amplitude of a wave change during refraction?
  25. O

    Solve Index of Refraction Homework Statement

    Homework Statement Index of refraction of air is being treated as 1, index of refraction for water is 1.33. W is given as 6.1 cm, the problem is to find H. Homework Equations By Snell's Law, n1sin\Theta1=n2sin\Theta2. We can also use at least one of the trigonometric equations...
  26. R

    MATLAB Index Out of Bounds Error - Troubleshooting in MATLAB

    I'm working on a piece of code to help me generate plots. Right now I'm focusing on the calculation stuff. Here's what I need to do. For each RPMline, calculate the Mach number (M0) for mdotf=.1,.2,.3,.4,.5,.6,.7 I read values of Tt4_Tt2_ratio, pi_c, eff_c, mdotcorr2 from the Excel sheet...
  27. P

    Infinite index set in product topology

    Homework Statement Let Y := \prod_{i \in I} X_i Now assume U_i \subset X_i to be open. If we take i to be infinite, \prod_{i \in I} X_i cannot be open. Why? Homework Equations The Attempt at a Solution I can't quite get my head around how to approach this problem. A...
  28. D

    What is the meaning of the term ''refractive index of a medium''?

    My answer is: it is the relationship between the angle of incidence and the angle of refraction. Is it correct? If not, what should be the correct answer?
  29. D

    MATLAB: expressing a double index equation as a matrix

    Just an urgent doubt, I am new to matlab. So imagine an equation that has two indexes, and that can be expressed as a matrix, how can I do something like this in Matlab? using a for cycle?
  30. T

    Vector Calculus: Index Notation

    Homework Statement [PLAIN]http://img585.imageshack.us/img585/526/indexnotation.jpg The Attempt at a Solution How do I proceed?
  31. D

    Writing w^2 in Index Notation for Derivation with del X u

    Homework Statement I need to write w^2 in suffix notation for a derivation I am doing, where w = del X u Homework Equations (del X u) = w The Attempt at a Solution I think it is Eijk(d^2uk/dxj) where d is the partial derivative, E is the epsilon operator and ijk are suffix's...
  32. Saladsamurai

    Vector Identity Using Index Notation

    Homework Statement I am supposed to verify that \nabla\cdot(\mathbf{u}\times\mathbf{v}) = \mathbf{v}\cdot\nabla\times\mathbf{u} - \mathbf{u}\cdot\nabla\times\mathbf{v}\qquad(1)[/itex] I want to use index notation (and I think I am supposed to, though it does not say to explicitly) to...
  33. B

    How does refractive index matching make a solid disappear in a liquid?

    I'm just wondering how it works exactly? How can a solid submersed in a liquid somewhat "disappear". I've tried googling it with no luck and I'm super intrigued by this whole concept. PS: the more clear and simple you can explain it, the better.. I tend to get confused easily by things like this.
  34. C

    Solving for Index of Refraction Using x, d, and θ

    Homework Statement Find the index of refraction n of the rectangle using x, d, and θ. http://img338.imageshack.us/img338/6079/snellslaw.jpg Homework Equations n1*sin(θ1)=n2*sin(θ2) The Attempt at a Solution Is it possible to solve this problem given the relevant data? What I...
  35. G

    Index Notation Help: Understanding Swapping Symbols in AxB=-BxA

    Homework Statement I was following along with a proof of AxB=-Bxa it went along the lines of; Let; C=AxB=Ciei D=BxA=Diei for i=1,2,3 and we know Ci=eijkAjBk Di=eijkBjAk we can manipulate B and A to give Bj=BsDeltasj Bk=AmDeltamk so we find; Di=eijkDeltasjDeltamkBsAm =...
  36. A

    Finite simple group with prime index subgroup

    Homework Statement If G is a finite simple group and H is a subgroup of prime index p Then 1. p is the largest prime divisor of \left|G\right| (the order of G) 2. p2 doesn't divide \left|G\right| I think I have this proved, but want to confirm my reasoning is sound. this problem is...
  37. atomqwerty

    Optics - index of refraction and phase lag

    Homework Statement A light beam of wavelenght 500nm travels from A to B in vacuum. (AB = 10mm) If we put a glass sheet with n=1.5 and 1mm thick, calculate how change the number of periods. Calculate the phase lag too. Homework Equations k0 = 2Pi/λ (vacuum) k= k0·n The Attempt...
  38. M

    Radius divided or multiplied by refractive index?

    First of all, sorry for bad english. Second of all sorry if such thread is already created, but I really need fast help.Homework Statement There's a lamp in the bottom of the lake. If you watch the lamp from the surface(out of the water) and your eyesight is crossed with the lake, you can see...
  39. C

    Writing Critical and Reduced Temperatures Using Range Index in MathCAD

    Hello everyone, I want to write in mathcad some critical temperatures and reduced temperatures using a range index (like in the document I've attached) and i can't figure how to do it (i'm new in mathcad) Is it possible to write those in this way? Thank you and sorry if i put the question...
  40. bcrowell

    Measuring g with an index card and a pin

    Ca. 1996 a colleague bragged to me about an undergraduate lab he'd worked out where they did a high-precision measurement of g (I think he claimed 3 sig figs) using an index card, a pin, and a stopwatch. He didn't tell me any details. I've long since lost contact with him, but I was thinking...
  41. N

    Phase velocity: Using the real or modulus of complex index of refraction?

    Hi When we have a complex index of refraction, the real part determines the phase-change of the incoming wave and the complex part attenuates the wave. When we e.g. want to find the phase velocity using v = c/n, when should we use the real part of n or the modulus of n? Niles.
  42. J

    Help understanding Refractive Index

    I get that the light changes speed as it enters a material with different densities, however I do not understand why a change in speed would cause a change in direction. For instance if I'm in a car and am going 55mph but slow down to 45mph I'm still going the same direction. It seems the only...
  43. L

    Solving Basic Index Dilemma Maths Problem

    I just can't see what's going wrong here \nabla^2 p . (x-y) = p^2 where p,x,y are all 4 vectors. so it's obvious from looking at it but i decided to try and show it \partial_i \partial_i (p_j r_j) where i used r to denote x-y = \partial_i \left( \left( \partial_i p_j \right) r_j + p_j...
  44. R

    Is the Refractive Index Constant Despite Rising Extinction Coefficient?

    is it possible the refractive index remains constant while its extinction co-efficient rises as function of frequency? if yes when does this typical arise? i imagine that this can happen at the absorption edge of transmission spectra of a semiconductor but i don't find any explanation to this.
  45. J

    Snells Law and refractive index

    Snells law states that refractive index = (speed in medium 1)/(speed in medium 2) alternativley 1 μ2 = sin i / sin r Why therefore does Snells law also equal: μ1 * sin(angle-1) = μ2 * sin(angle-2) and for a critical angle μ1 sin C = μ2 sin 90 thanks
  46. B

    What is an Index Set? Exploring Definition and Examples

    Can someone give me a precise definition of what an index set is? I have never seen it defined. Thanks!
  47. R

    Solving Complex Analysis Problem: Calculating Index of a Curve

    Homework Statement This is complex analysis by the way. Here's the problem statement:http://i.imgur.com/wegWj.png" I'm doing part b, but some information from part a is carried over. The Attempt at a Solution My problem is that I don't know if I'm being asked to show it via direct...
  48. L

    Index of a critical point in a vecor field

    Homework Statement This is from Henle's Combinatorial Introduction to Topology, section 9 question 2d). Here's the phase portrait: http://img69.imageshack.us/img69/70/phasepor.jpg Find the index of the point in the center of that picture.The Attempt at a Solution I used the fact that index =...
  49. A

    What is the relationship between refractive index and pressure in gases?

    Dependence of refractive index on pressure Homework Statement Show that, in a gas (for which the refractive index is close to 1), the refractive index depends on the pressure as n_r = 1+ K\times p, and find the value of K. Homework Equations n_r = 1+ K\times p Clausius-Mossotti...
  50. A

    Does Refractive Index of a Gas Change with Pressure?

    Dependence of refractive index on pressure Homework Statement Show that, in a gas (for which the refractive index is close to 1), the refractive index depends on the pressure as n_r = 1+ K\times p, and find the value of K. Homework Equations n_r = 1+ K\times p Clausius-Mossotti...
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