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. 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...
  2. U

    General Relativity - Index Notation

    Homework Statement (a) Find matrix element ##M_{ij}## (b) Show that ##x^j## is an eigenvector of ##M_{ij}## (c) Show any vector orthogonal to ##x^j## is also an eigenvector of ##M_{ij}## Homework EquationsThe Attempt at a Solution Part(a) [/B] \frac{\partial^2 \Phi}{\partial x^i x^j} =...
  3. S

    Relation between refractive index and density of material

    Hello all, I had clarified that refractive index of material such as(aluminium, copper, lead, teflon)changes with the temperature. the refractive index change even for this temperature range: -196 to 25°C ? I need to know like any law which gives a direct relationship between 1)the density and...
  4. S

    Does the Refractive Index of Materials Change with Temperature and Wavelength?

    Hello all, I want to know that refractive index of materials like cooper, zinc, aluminium, teflon, PMMA varies with the application of heat from room to 100°C and for negative temperatures 77k to 300k. thanks in advance.
  5. B

    Finding uncertainty for index of refraction

    Homework Statement 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 ◦ calculate the index of refraction n...
  6. N

    Light intensity and index of refraction

    Hi. Will the amplitude of Poynting's vector change if the electromagnetic wave goes from one medium to another? Shouldn't the amplitude remain constant due to conservation of energy? I.e. the photon-density and velocity will change, but their total intensity remains the same. I could always do...
  7. binbagsss

    Index notation tensors quick question

    My text has: ##\frac{\partial x^{a}}{\partial x^{p}}V^{p}-\frac{\partial x^{a}}{\partial x^{r}}V^{r}+\frac{\partial x^{a}}{\partial x^{p}}T^{p}_{qr}V^{r}+\frac{\partial x^{a}}{\partial x^{p}}\frac{\partial }{\partial x^{q}}V^{p}=\frac{\partial x^{a}}{\partial...
  8. U

    Faraday Tensor and Index Notation

    Homework Statement (a) Find faraday tensor in terms of ##\vec E## and ## \vec B ##. (b) Obtain two of maxwell equations using the field relation. Obtain the other two maxwell equations using 4-potentials. (c) Find top row of stress-energy tensor. Show how the b=0 component relates to j...
  9. M

    Shouldn't the index of refraction change?

    Shouldn't the index of refraction change due to the random Brownian motion. I watched a video recently that explained why light slowed down in different mediums and said that it was due to the fact that the light ray has to bounce off several particles before it leaves the medium its in.(Note...
  10. A

    Strange Miller Index Notation [00.1]

    Do someone knows what this dot "." means? I just know this notation [001]. Thank u Abigale
  11. M

    Matlab - Index exceeds matrix dimensions when writing .txt

    Homework Statement Index exceeds matrix dimensions Homework EquationsThe Attempt at a Solution I am trying to output into a text file something like this: Name ID scE ccE scC ccC Fake Subject 1 1 3 4 5 2 Fake...
  12. jfizzix

    Why no transparent materials with large refractive index?

    I know that the refractive index is determined by a material's dielectric constant and magnetic permeability. It's also true that we can treat the refractive index as a complex function with the imaginary part giving you an absorption spectrum. You can then get the index of refraction from...
  13. R

    Deciding Miller Index when building a transistor?

    In obtaining the materials to build a transistor, should one choose wafers of the same Miller indexes? Will the lattice structure affect the interaction between two wafers?
  14. M

    Center of a group with finite index

    Homework Statement Let ##G## be a group such that its center ##Z(G)## has finite index. Prove that every conjugacy class has finite elements. Homework EquationsThe Attempt at a Solution I know that ##[G:Z(G)]<\infty##. If I consider the action on ##G## on itself by conjugation, each...
  15. O

    Einsteins field equations us what type of index notation?

    I know that the metric tensor itself utilizes Einstein summation notation but the field equations have a tensor form so the μ and ν symbols represent tensor information. I'm trying to wrap my head around how Einstein used summation notation to simplify the above field equations but it seems...
  16. C

    Classical index of refraction theory

    Is there such a thing as a classical theory for the index of refraction? I.e. are there expressions for the index of refraction ##n## in terms of other parameters like charge density? If so, a reference would be much appreciated.
  17. A

    [College Physics II: Waves/Optics] Index of Refraction

    Homework Statement A solid glass cube with edge length of 10.0 mm and index of refraction n=1.75 has a small, dark spot dead center of the cube. Find the minimum radius of black paper circles that could be pasted at the center of each cube face to prevent the center spot from being seen, no...
  18. D

    Vector identity proof using index notation

    Homework Statement I am trying to prove $$\vec{\nabla}(\vec{a}.\vec{b}) = (\vec{a}.\vec{\nabla})\vec{b} + (\vec{b}.\vec{\nabla})\vec{a} + \vec{b}\times\vec{\nabla}\times\vec{a} + \vec{a}\times\vec{\nabla}\times\vec{b}.$$ I can go from RHS to LHS by writng...
  19. S

    MHB Index Notation Proof: Proving $\nabla\cdot\left(\phi\textbf{u}\right)$

    Hi Everyone! I'm looking to prove $\nabla\cdot\left(\phi\textbf{u}\right)=\phi\nabla\cdot\textbf{u} + \textbf{u}\cdot\nabla\phi$ in index notation where u is a vector and phi is a scalar field. I'm unsure how to represent phi in index notation. For instance, is the first line like...
  20. D

    Is refractive index on each side of the parallelepiped the same?

    Refractive index on each side of a rectangular cube parallelepiped: n1, n2, n3 Is this correct: n1=n2=n3? http://image.bayimg.com/01c243801d8868097dbe98fb599b0d6aa9fb2e7d.jpg
  21. P

    The complex refractive index vs. permittivity

    I have a process of thought and would like to run past some other minds to point out if I am incorrect in my thinking. I am looking into conductivity in high frequencies and a lot of papers I am looking up list a complex refractive index. They list something as in nAg = 0.1453 + j11.3587...
  22. bcrowell

    Notational clash in index notation?

    Classical Theory of Particles and Fields, by Boris Kosyakov, has the following in appendix A: (I don't own a copy of the book. This came to my attention through this physics.SE question, and it turned out that this part of the book is accessible through Amazon's peephole.) This completely...
  23. L

    Group Index dependence on refractive index

    In Ng (the group index for a range of wavelengths), there is an index of refraction n used, but if the medium is dispersive, meaning n is a function of wavelength λ, which n is used? Is it some kind of an average? Or does n not change much over this range of wavelengths? if it doesn't change...
  24. S

    Calculating n^2 for Free Electrons with Friction Interactions

    Homework Statement The index of refraction is given by n^2 = (N q / ε m) (1 / (ω0^2 - ω^2 + iγω)) Where N is the electron density, q is the charge of an electron, ε is the permittivity of free space, m is the mass of an electron, ω0 is the resonant frequency, ω is the incident frequency...
  25. H

    Modeling index of refraction of dilute gases

    I'm interested in predicting the index of refraction of atmospheric air and several nonpolar gases at room temperature for pressures of 1 atm - 0 atm. I'm not really sure where to get started. I have found the relation n=\sqrt{1+\frac{3AP}{RT}} but I don't really get where it comes from. Well...
  26. Math Amateur

    MHB Ordered Index Sets for Direct Sums & Products of Modules: Explained by B&K

    I am reading An Introduction to Rings and Modules With K-Theory in View by A.J. Berrick and M.E. Keating (B&K). In Chapter2: Direct Sums and Short Exact Sequences in Sections 2.1.14 and 2.1.15 B&K deal with ordered index sets in the context of direct sums and products of modules. Although it...
  27. A

    Optimizing Refractive Index for Bright and Even Side Glow in Solid Core Object

    Hi All, I'm trying to create something which has a solid, cylindrical, non-reflective core (assume the core is made out of a black rubber similar to that of a car tyre for instance and 20m in length, but only 1cm in diameter), which has a translucent or transparent plastic layer (or several...
  28. D

    Measuring refractive index of water

    Does anyone know any good experimental techniques of measuring refractive index of water?
  29. N

    Calculating a Fixed Weight Price Index

    Homework Statement 2. Homework Equations I used Lespayres equation, which is (Price of item in a year X Price of quantity of base item year)/(Price of item in base year X Price of quantity of base item year) 3. The Attempt at a Solution [/B] I was marked wrong, so I'm not sure what to do...
  30. spareine

    Exploring the Refractive Index of Asphalt: Polarization and Brewster's Angle

    Asphalt in roads sometimes appears very black through polarizing glasses. I imagine it is possible to measure the angle of reflection with the highest degree of polarization, θ (Brewster's angle), for asphalt. For transparent materials, the refractive index is related to θ, n = tan θ. Is the...
  31. B

    Help with Index Notation: εlmn detA = εijkAilAjmAkn

    Homework Statement Show: εlmn detA = εijkAilAjmAkn Homework Equations not sure The Attempt at a Solution I'm really not sure where to begin. I understand index notation (at least I think I do). Can anyone help me get started? I think that once I have the first step, I'll be...
  32. R

    Is Light Traveling Faster Than c in Materials with Index of Refraction Below 1?

    Hi, there. I don't understand how the light travel in the medium which has the index of refaction below one from the following topic: http://en.wikipedia.org/wiki/Total_external_reflection “For X-rays, however, all materials have indices of refraction slightly below 1. ” I did some...
  33. M

    Light's Refractive Index & Phase Change: Explained

    Consider a plane beam of light is falling normally on a material with thickness (d) and refractive index (n), the light partially transmits and partially reflects the light, so the light transmitting the light travels a distance (2nd) coming out of the material have a phase change of ∏ always...
  34. J

    Effective refractive index when two transparent medium are joined in s

    Dear All, If two layers of thickness d1 and d2 stacked on each other and having their absolute refractive index n1 and n2 . Can we find effective refractive index of the combination with this data? Thanks in advance. Jayesh.
  35. M

    How to calculate refractive index from reflectance values

    Greetings. how to calculate the refractive index, extinction coefficient, absorption coefficient values from the reflectance data. And also suggest me how to measure the transparency of glass. Is there any relation between transparency and refractive index Thanks in advance
  36. B

    Laser to determine effect of sucrose concentration on refractive index

    Hi! I want to conduct an experiment to investigate the effect of sucrose concentration on refractive index using a laser pointer however I would like to complicate this experiment as this is just a simple how x affects y experiment. It may also seem to straight forward as obviously higher...
  37. K

    Refractive Index by Pressure/Temperature

    The refractive index of H2 = 1.0001594 under the following conditions : P = 101325 Pa T = 273.15 K I cannot find any source for the refractive index of gases under any other conditions 3 Questions : a. What is the pressure gradient for the refractive index? b. What is...
  38. R

    What Is the Valence Molecular Connectivity Index of a 3rd Order Cluster?

    Dear All, I would like to know about (question related to computational chemistry): what is valence molecular connectivity index of 3rd order cluster. Please provide an example? Thanks for your help. Regards, Rajini.
  39. S

    MHB Index Refraction Yell Light Sodium Lamp Liquid 1.92E8m/s

    The Speed of yellow light( from a sodium lamp) in a certain liquid is measured to be 1.92E8 m/s. What is the index of refraction of this liquid for the light?
  40. gfd43tg

    Creating a Word Index (matlab)

    Homework Statement I am working on Problem #2 in the attached PDF Homework Equations The Attempt at a Solution When I run this right now, I get an error in my first conditional for if the word is not in the index. How do I say that the word does not exist in the index? Any other...
  41. J

    Refractive Index - Lens question

    Homework Statement A double concave lens has equal radii of curvature of 15.1 cm. An object placed 14.2 cm from the lens forms a virtual image 5.0 cm from the lens. What is the index of refraction of the lens material? A. 1.98 B. 1.9 C. 1.84 D. 2.06 Homework Equations 1/f = (n – 1 ) (1/R1...
  42. C

    Index gymnastics of electromagnetism quantities

    This bothers me, and the question is simple: If am working with a non-minkowski metric g, when raising or lowering indexes of electromagnetism quantities, for example the electromagnetic tensor F, or the vector potential A, should I use my curved spacetime metric g or the minkowski metric n?
  43. K

    Mathematica How to define functions with integer index in mathematica

    There is a vector ##v_i(t)## (i=1,2,3). How to define the three functions in Mathematica? What about ##t_{ij}(t,\vec{x})##? I am trying to solve my vector and tensor equtions with Mathematica. Analytical solution would be perfect but numerical solution would also be fine. Actually I am not...
  44. M

    Focal length of a sphere with refractive index gradient

    Homework Statement We take a sphere (1mm) which has a parabolically changing refractive index, which is given in a function. Homework Equations Depending on the gradient of the refractive in the sphere, how does it correlates with the focal length. The Attempt at a Solution I...
  45. gfd43tg

    Index notation matlab for 2D array

    Homework Statement Homework Equations The Attempt at a Solution Hello, I am having some confusion over the notation used in matlab. I don't really know what they mean A = [1:3; 4:6; 7:9] A = 1 2 3 4 5 6 7 8 9 A(1:2, 1:2) ans = 1 2...
  46. S

    Discover the Gas with the Lowest Adiabatic Index at Room Temperature

    Hello, to the best of your knowledge, what is 1) the gas with the lowest adiabatic index ##\gamma=\frac{c_p}{c_v}## at room temperature 2) a very common, non-flammable, non-toxic gas with the lowest adiabatic index at room temperature Many thanks
  47. S

    MHB What Does the -1 Index Mean in the Abbreviation km h^-1?

    I'm looking at a question that refers to kilometres per hour and uses the abbreviation\(km h^-1\) It looks like a -1 index -could someone [point out to me what this means (I'm only just starting to get back into maths!). Thanks
  48. P

    Find Refractive Index of Liquid for Observer with Velocity

    hello i have this question " a liquid has refractive index (n). find the refractive index of this liquid for an observer if the liquid have a velocity (v) to this observer " i have my solution in an attachment please look at it and tell me if it is the right solution thank you...
  49. S

    Disadvantagês of Stêp Indêx Fibêr

    Hello experts! I wonder if there are any disadvantagês of Stêp Indêx Fibêr? I searched for my knowledge but only found advantagês. Thank you all.
  50. T

    Index Notation & Dirac Notation

    Quantum Mechanics using Index notation. Is it possible to do it? I really don't get the Dirac Notation, and every-time I encounter it, I either avoid the subject, or consult someone who can read it. There doesn't seem to be any worthy explanation about it, and whenever I ask what is the Hilbert...
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