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. M

    Does anyone know a crystal with refractive index of water?

    When I was a little kid, I met a gemologist who showed me a cool trick with a ring he'd bought for his wife. When he submerged it in water, the crystal disappeared! As I now know, this crystal had an index of refraction of 1.33. Anyone know what this crystal is and/or how I can get my...
  2. F

    Conceptual Index of Refraction Question.

    We have the index of refraction formula of n = \frac{c}{v} which essential states how much of a factor light travels faster in a vacuum than in this medium. Why don't they just have it as n=\frac{v}{c} so it states fractionally how much slower light travels in the medium than the speed of...
  3. N

    Commutator-like notation, index notation

    Homework Statement There are some equations in the notes on field theory I am reading with notation I have never come across before. Someone told me it was a way of ensuring that the expression was anti-symmetric. I can't find it used the same anywhere else but no explanation is provided...
  4. O

    Index of Refraction, reflection diminishment

    Homework Statement A glass lens is coated on one side with a thin film of magnesium floride (MgF2) to reduce reflection from the lens surface. The index of refraction of MgF2 is 1.38; that of the glass is 1.50. Assume that the light is perpendicular to the lens surface and that the thickness...
  5. P

    Relationship between Refractive index and Inpedance

    as described in the title, what's the relationship between these 2 quantities in a given material? ty
  6. J

    List of index notation properties ?

    list of index notation properties ?? Is there a list of index notation properties somewhere on the web ?? I'm just looking for a pdf file that I can reference while manipulating tensors using index notation (and summation convention). I'm not looking for proofs at all, just a quick...
  7. N

    What is the minimum refractive index for total internal reflection at point P?

    A ray of light strikes a square glass block at an angle of 45 degrees and enters the glass. If this block is surrounded by air (n=1), what is the minimum value of the refractive index of the glass if the total internal reflection occurs at point P. (see attached diagram) I'm really lost on...
  8. S

    Soap film having index of refraction

    What is the minimum (non-zero) thickness of a soap film having index of refraction 1.46, with air on both sides, that transmits virtually 100% of 500 nm light incident along the normal? a. 345 nm. b. 86 nm. c. Any thickness transmits 100%. d. 172 nm. I used...
  9. S

    Finding Concentration Using Index of Refraction

    Homework Statement Is there any way to calculate a solution's concentration (mass percentage - that is, the percentage of the solute mass to the solution mass) just by knowing its index of refraction? If it helps, the solute is NaCl, so I know the molar mass of the solute. I also have the...
  10. T

    Index of refraction in an air bubble

    [SOLVED] Index of refraction Homework Statement An air bubble inside an 9.00 cm-diameter plastic ball is 2.90 cm from the surface. As you look at the ball with the bubble turned toward you, how far beneath the surface does the bubble appear to be? Homework Equations n_1/s + n_2/s' =...
  11. T

    Goldfish bowl index of refraction

    Homework Statement To a fish in an aquarium, the 4.30 mm-thick walls appear to be only 3.10 mm thick. What is the index of refraction of the walls? Homework Equations m=-s'/s n_1/s + n_2 / s' = (n_2-n_1)/R m: magnification s: object distance s': image distance The Attempt at a...
  12. O

    Rewrite in index notation

    w=∇×u Is this correct? w_i=ε_ijk ∂/(∂x_j ) u_k w and u are the vectors C=(x∙y)z Is this correct? C_i= ∑_i〖(x_i y_j)∙z_i 〗 C, x, y, z are vectors A^T∙A ∙x=A^T∙b Is this correct...
  13. V

    Proving Relationship: Epsilon-Delta Decomposition for Tensors

    Homework Statement Prove the following relationship: \epsilonpqi\epsilonpqj = 2\deltaij Homework Equations The Attempt at a Solution All I have so far is the decomposition using the epsilon-delta \epsilonpqi\epsilonpqj = \epsilonqip\epsilonpqj \epsilonqip\epsilonpqj =...
  14. W

    Finding Thickness of glass knowing OPD and refractive index.

    Homework Statement A beam of light is split into two coherent beams of intensity I which are in phase. The two beams are sent through different paths and superimposed at the same spot on a screen. A path difference is to be achieved by inserting a glass window of refractive index of 1.7 in the...
  15. V

    Question on Elementary Index Notation

    I have a question regarding the attached file. How do you get those indicies when you multiply the kronecker deltas with A, B, and C? For instance, C - subscript m remains the same on the left side of the expression, but then becomes C subscript i on the right side. How does this logically...
  16. T

    Constance of speed of light and refraction index question

    I'm new to the forum, so, hi =D Special theory of relativity tell us that the speed of light is the same, independently of the reference frame. But we know that, while light travels through some materials (with refraction index larger than one), it speeds slows down. These two "things"...
  17. A

    Are 'power', 'index' and 'exponent' exact synonyms

    Can you please help me sort out my terminology? Are 'power', 'index' and 'exponent' exact synonyms, even thogh they tend to be used in different contexts? If a^x gives 'exponential growth' is the growth described by x^a also properly called 'exponential'? If not, what is it called...
  18. J

    Is it possible to solve this problem without their index of refraction

    Light strikes the surface of a transparent material at an angle of incidence of 30. If the refracted angle in the transparent material is 20, what is the speed of light in the material? Is it possible to solve this problem without their index of refraction? If possible, how?
  19. E

    Why Lowering Index on Components Affects Physical Variables

    Hi everyone! I am trying to self- study GR and I am (very slowly) working through Schutz at the moment ( not the clearest at times for a " first course" text). Anyway I have noticed that several times when working with components of physical variables e.g. momentum/ energy, the 'up' index in say...
  20. W

    Understanding Index Notation: Multiplying Vectors & Tensors

    I have a general question about index notation. For an arbitrary quantity, a, "a" denotes a scalar quantity. "a_i" denotes a vector. "a_ij" denotes a 2nd-order tensor. So, if I have something like "a_i*e_ij*b_j" Would this be like multiplying an nx1 vector, an mxm matrix, and an Lx1 vector...
  21. K

    P-type substrate of having Miller index of (100) and (111)

    what is the obvios differences between p-type substrate of having Miller index of (100) and (111), beside (111) plane have higher atom density?
  22. S

    Index of refraction of the prism

    Homework Statement 5) A beam of monochromatic light enters an equilateral triangular prism at an angle of incidence of 30.0º. If the index of refraction of the prism is 1.53, at what angle with respect to the surface of the prism does the beam emerge from the other side of the prism...
  23. D

    MATLAB Troubleshooting MATLAB Index Out of Bounds Error: Tips and Solutions

    Dear forummers, I'm trying to solve a problem that is displayed in MATLAB below:- ? Attempted to access x(2); index out of bounds because numel(x)=1. Error in ==> fit_fun at 5 Fit_fun_val= x(1)^2 + x(2)^2 + x(3)^2; Error in ==> jack_immune at 47...
  24. S

    Shifting the Summation Index in Zeta Function Convergence Proof?

    Can anyone explain this property of shifting the index on the summation notation? I'm reading a book and came across this which has confused me. I don't see how these are equal: \sum_{k=1}^n \frac{1}{k(k+1)} = \frac{1}{2} + \sum_{k=2}^{n+1} \frac{1}{k(k-1)} It's part of an explanation that...
  25. S

    MATLAB Simulating 100-Day Experiments with an Index Case

    Hello, Here is my scenario: I am trying to run a code a 100 times, so I use a for loop statement i=1:100. The 1 to 100 stands for 1 to 100 days. Now I want to see how much randomness my results give and so I want to simulate this whole 100 days thing twice. So I think my code would look...
  26. F

    Light and Index of Refraction.

    Homework Statement A helium-neon laser beam has a wavelength in air of 633 nm. It takes 1.38 ns for the light to travel through 30 cm of an unknown liquid. What is the wavelength of the laser beam in the liquid?Homework Equations n=c/v d=rtThe Attempt at a Solution So, I'm having difficulty...
  27. Rasalhague

    Vector Analysis: Introduction to Tensor Notation and Index Conventions

    In Introduction to Vector Analysis, § 1.16 Tensor notation, Davis and Snider introduce index notation and the Einstein summation convention, Kronecker's delta and the Levi-Civita symbol. They present the following equation, on which they base some proofs of vector algebra identities...
  28. Rasalhague

    Index Conventions in Linear Algebra & Apps: David Griffel

    In Linear Algebra and its Applications, David Griffel writes, "The components of covectors are often denoted by superscripts, rather than subscripts." This differs from the usual convention, doesn't it? Unless I've completely misunderstood the concept (quite possible!), the introductory texts...
  29. V

    Transparency and refractive index

    I am trying to understand the relation between transparency and refraction index. Searched this forum so found and read some topics too. As I undertand, transparency is related with atomic structure and phonons. This is ok. If light beam (or say photons) faraway from phonons (and atoms), they...
  30. P

    How does the refractive index change with the wavelength of light?

    can some one tell me how the refractive index changes with the wave length of the light?
  31. L

    In prism, is angle of deviation related with the refractive index of prism?

    Optics, prism and angle of deviation 1. Angle of incidence, emergence and deviation are respectively 30, 60 and 45 degree. 2. 3. I think that it is irrespective of the refractive index.
  32. W

    Building Materials Refractive Index?

    Building Materials Refractive Index?? Hi all, does anybody know the refractive indices of these materials (used in houses)? - Wall bricks - Wood (used in doors) - Glass - Plastic - Concrete (in ceiling and floor) and any other common materials :) thanks in advance
  33. P

    Reduce light scattering by index matching

    in order to reduce unwanted light scattering from a sample, a trick often used is to immerse it in a higher refractive index liquid . This is called index matching. Could anyone elaborate how it reduces unwanted scattering? regards pilo440
  34. R

    Can a Negative Refraction Index Enable Invisibility Cloaks?

    I am sure this topic has been discussed a million times so how can once more hurt? I am only just being introduced to physics at school and a question came to mind when I was thinking about a game called "Crysis" in which the main character can become invisible. 'Cloaking' or 'invisibillity'...
  35. G

    Tensor Index Exercises: Find Extra Resources Here

    Dear all, I'm reading the GR book by Ray D'Inverno. I would like to do some additional exercises about tensors. I can get the Schaum Outline on tensors. Is there any other book or online resource where I can find additional exercises to get more familiar with tensor manipulations? Thanks...
  36. R

    Summation convention and index placement

    Hey all, The way I was taught GR, the summation convention applies on terms where an index is repeated strictly with one covariant, one contravariant. But reading through a translation of Einstein's GR foundations paper just now it looks like the index placement doesn't matter (I've seen it...
  37. M

    Snell's Law - figuring out index of refraction

    Snell's Law -- figuring out index of refraction Homework Statement A light ray enters a rectangular block of plastic at an angle of θ1 = 45.0° and emerges at an angle of θ2 = 79.0°, as shown in Figure P35.71. (the image is of light entering the block from the west, and exiting from the...
  38. R

    Solve Visible Wavelengths in Reflected Light from Soap Film w/ n=1.90

    Homework Statement A soap film has an index of refraction n = 1.90. The film is viewed in reflected light. (a) At a spot where the film thickness is 910.0 nm, which visible wavelengths are missing in the reflected light? (Give the three wavelengths which correspond to the lowest such m...
  39. T

    Vector identities in index notation

    Homework Statement Prove using index notation that, the x denoting a cross-product. (del x f del g)=del f x del g Homework Equations The Attempt at a Solution dif etc. denote partial derivatives. RHS=eijkdjfdkg LHS-I'm not even quite sure how to write it in index...
  40. H

    Two Occurrences of Same Index in Index Notation?

    Question In index notation, can you have more than two occurances of the same index in the same term? Let me provide and example: Let's say I have a two index tensor, M{\alpha \beta}, and I contract it with itself: M_{\alpha \beta} M^{\alpha \beta} Then let's say I wish to operate on...
  41. O

    Technology Index: Quantifying Technological Level Across Time

    Say that you want to create an index, to quantify technological level of humanity at any time. This index puts a value on the level of today as good as the level of technological advancement year 1662 or 400 BC. It can be used in predictions of the future and so on.. What factors; quantities...
  42. I

    Index of refraction for violet light

    Homework Statement The index of refraction for violet light in silica flint glass is 1.65 and for red light is 1.62.What is the angle of deviation for the red ray passing through a prism of apex angle 59.7 degrees. If the angle of incidence is 47.4 degrees. Homework Equations nglass...
  43. C

    Troubleshooting an Index Error in Homework Equations

    Homework Statement for i=1: max (size(z)), if real (z(i))>0, z(i)=-2; end end for i=2: max (size(p)), if real (p(i))>0, p(i)=-2; end end Homework Equations why there is always error.. it said that ? Attempted to access z(1); index out of...
  44. F

    Water Quality Index equation and math help

    Water Quality Index equation and math help! Hi there, I am an arts student who, due to signing up for classes very late in the semester, has been stuck with an environmental sciences course. This course was just fine until I got our final assignment, which is a Water Quality Index lab. The...
  45. I

    How can I create a statistical index for my hobby?

    Hi, I'm new to this. I've always wished to create an index, for hobby and all. Not the kind of index in lengthy books, but the statistical kind, like a happiness index - http://www.google.com/search?hl=en&q=happiness+index&btnG=Google+Search Those kinds; I don't know if they have a...
  46. A

    Index notation is driving me CRAZY

    I've already posted a couple of index notation questions on here and I've gotten very helpful responses. So I thought I'd try my lucky again, though I'm a little more stumped on this question than I was on the others... Let \vec{x} be the position vector and \vec{r} the radial unit vector. In...
  47. A

    Another index notation question hopefully pretty easy

    How do I make sense of the index notation expression r_j r_i p_j ? What I really *want* it to be is \vec{r} (\vec{r} \cdot \vec{p}) And it turns into this, as long as I can commute the r_i[/tex] and r_j...right? (By the way, here \vec{r} is just the position vector and...
  48. A

    Question about what index notation is telling me

    I'm trying to simplify the expression (\hat{r} \times \vec{\nabla}) \times \hat{r}, where \hat{r} is the radial unit vector, using index notation. I think I'm right to write this as: ((\hat{r} \times \vec{\nabla}) \times \hat{r})_i =...
  49. R

    Calculating Color temperature and Color Rendering Index

    Hi, I've been a lurker here for a while but I finally have a question. I was wondering if there is a simple formula to calculate the Color Rendering Index(CRI) and Correlated Color Temperature(CCT) of a white light source.. To do this I would also need (I think) to make a some points on a...
  50. 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
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