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. D

    Matrix notation for Lorentz transformations

    I'm having some confusion with index notation and how it works with contravariance/covariance. (v_{new})^i=\frac{\partial (x_{new})^i}{\partial (x_{old})^j}(v_{old})^j (v_{new})^i=J^i_{\ j}(v_{old})^j (v_{new})_i=\frac{\partial (x_{old})^j}{\partial (x_{new})^i}(v_{old})_j...
  2. O

    Refractive index of a 1M sorbitol solution

    I would like to find the refractive index of a 1M sorbitol solution. Is there any resource out there that lists refractive indexes? Is there any way to calculate this? Thank you
  3. Rococo

    On the index notation used in Lorentz transformations

    I understand how contravariant 4-vectors transform under a Lorentz transformation, that is: ##x'^μ= \Lambda^\mu~_\nu x^\nu## [1] and how covariant 4-vectors transform: ##x'_\mu=(\lambda^{-1})^\nu~_\mu x_\nu##. [2] Now, I have come across the following relations...
  4. B

    Index of refraction Thin Films

    Homework Statement The diagram shows light incident from above on a film of thickness d. Each of the three materials in the figure can be chosen to be air, with index of refraction n=1.00, water, with index n=1.33, or glass, with index n=1.50. Under which of the following conditions will the...
  5. J

    What does it mean if the capability index is .08

    What does it mean if the capability index is .08 and how can you increase the numerical value?
  6. C

    Cartesian product of index family of sets

    Cartesian product of indexed family of sets The definition of a Cartesian product of an indexed family of sets (X_i)_{i\in I} is \Pi_{i\in I}X_i=\left\{f:I \rightarrow \bigcup_{i \in I} \right\} So if I understand correctly, it's a function that maps every index i to an element f(i) such...
  7. N

    Understanding Index Notation and Tensor Operations in Vector Calculus

    Homework Statement Hi I have a vector v. According to my book, the following is valid: \frac{1}{2}\nabla v^2-v\cdot \nabla v = v\times \nabla \times v I disagree with this, because the first term on the LHS I can write as (partial differentiation) \frac{1}{2}\partial_i v_jv_j =...
  8. M

    Data for metal oxides on complex refractive index in the infrared

    I want to use the ray tracing software ZEMAX to calculate reflection and absorption using thin metal oxide coatings on for example plastic materials. For this I need is the real and imaginary part of the refractive index in the wavelength region 1-10 micrometer for the metal oxides ZnO, ITO...
  9. E

    Calculating what latitude aurora is visible using KP Index

    Is there a formula to calculate at what latitude you are able to see the aurora, given some value like K-index? From the NOAA website on space weather, they have some global maps with lines showing where on Earth its most likely to see the aurora, what I'm wondering is how they calculated this.
  10. K

    Comp Sci Solving Heapsort in Java: Understanding Index Values

    Homework Statement Develop a Heapsort algorithm using java Homework Equations The Attempt at a Solution I have been trying to implement HeapSort in java. Unfortunately I am running into errors. I am printing out the index values and they go up then down and the code does not sort properly. Can...
  11. N

    Index Notation for Rank-2 Tensor with Summation

    Homework Statement I have the following rank-2 tensor T = \nabla \cdot \sum_{i}{c_ic_ic_i} I would like to write this using index notation. According to my book it becomes T_{ab} = \partial_y \sum_{i}{c_{ia}c_{ib}c_{iy}} Question: The change \nabla \rightarrow \partial_y and c_i...
  12. binbagsss

    Quick question, index notation, alternating tensor.

    Q) I am using index notation to show that ε^{0123}=-1 given that ε_{0123}=1. The soluton is: ε^{0123}=g^{00}g^{11}g^{22}g^{33}ε_{0123}=-ε_{0123} where g_{\alpha\beta} is the metric tensor. I am struggling to understand the last equality. Many thanks for any assistance.
  13. binbagsss

    Index notation/ Tensors, basic algebra questions.

    Ok I have T_{ij}=μS_{ij} + λ δ_{ij}δS_{kk}. I am working in R^3. (I am after S in terms of T) . I multiply by δ_{ij} to attain: δ_{ij}T_{ij}=δ_{ij}μS_{ij} + δ_{ij} λ δ_{ij}δT_{kk} => T_{jj}=δ_{jj}λS_{kk}+μS_{jj} * My question is , for the LH term of * I choose T_{jj} rathen than T_{ii}. I...
  14. binbagsss

    Quick question, index notation, alternating tensor.

    Q) I am using index notation to show that ε^{0123}=-1 given that ε_{0123}=1. The soluton is: ε^{0123}=g^{00}g^{11}g^{22}g^{33}ε_{0123}=-ε_{0123} where g_{\alpha\beta} is the metric tensor. I am struggling to understand the last equality. Many thanks for any assistance.
  15. V

    Determining index of refraction and wavelength of a visible spectrum?

    Homework Statement You decide to become a forensic pathologist because you enjoy working with dead people-they don't talk back-more than with the living. In one murder investigation, you find an unknown liquid in the victim's stomach. To identify this liquid, you pour a known amount of it onto...
  16. R

    Calculation: Time for a spring index plunger to release

    Hi, I need to calculate the time for an index plunger to fully release. Can anyone help. The basic setup is simple. It pretty much identical to a collapsible loft ladder. Within a sliding mechanism, we have a fixed plate and a sliding plate. A plunger is housed within the fixed plate. This...
  17. G

    Why does carbon nanotube index determine whether it is metallic?

    We briefly got an intro to carbon nanotubes in our nanomaterials class, and the professor only briefly introduced carbon nanotubes and the ways to describe the different types of tubes via their indices. Why is it that if the indices of the carbon nanotube have the property such that n-m =...
  18. O

    Refractive index- will it travel back along the same way?

    Refractive index----- will it travel back along the same way? From the picture http://en.wikipedia.org/wiki/File:RefractionReflextion.svg If I travel a light ray from n2 to n1 , I think the light ray will travel in the opposite direction shown in the first picture. But what about the...
  19. P

    Modified Bessel function with imaginary index is purely real?

    I'm trying to decide if the modified Bessel function K_{i \beta}(x) is purely real when \beta and x are purely real. I think that is ought to be. My reasoning is the following: \left (K_{i \beta}(x)\right)^* = K_{-i \beta}(x) = \frac{\pi}{2} \frac{I_{i \beta}(x) - I_{-i \beta}(x)}{\sin(-i...
  20. adjacent

    What factors affect the refractive index of a medium?

    Refractive index depends on the speed of light traveling through that medium.It also depends on the wave length of light.If refractive index of water is 1.33,then for which wavelength is this?
  21. A

    Relationship between the refractive index and absorption

    Hello, I was wondering is there a relation between the refractive index of the material and the amount of light the material absorbs (e.g. the higher n means higher absorption)? If so what is then a relation between the intensity of the light and the refractive index? p.s. I am trying to...
  22. S

    Can You Master Basic Index Notation in a Weekend?

    A week or two ago we went through index notation in class, however I didn't understand it when the lecturer was going through it thus I need to go through it now. I have this weekend to go through it along with other material. Is it possible to go over basic index notation in this short period...
  23. H

    Refractive Index: Why is it Same in Vacuum for All Lightwaves?

    refractive index of vacuum is 1 so from this law: n=c/u,we see that u of any light will be equal with c=3*10^8. When two lights(Red(r),Blue(b)) run into the water,red will run faster because refractive index for this lightwave is less than refractive index of blue. So we see that...
  24. U

    Fluctuating Refractive Index and Light Perception

    Homework Statement A narrow beam of light passes through a slab obliquely and is then received by an eye. The index of refraction of the material in the slab fluctuates slowly with time. How will it appear to the eye? Homework Equations The Attempt at a Solution Let a point object be kept at...
  25. Y

    Schwarzschild metric in terms of refractive index

    This is a spin off from another thread: First there are a couple of mathpages http://mathpages.com/rr/s8-04/8-04.htm and http://mathpages.com/rr/s8-03/8-03.htm that discuss the refractive index model and highlights the differences. The first obvious objection is that the 'medium' must have...
  26. R

    Exploring the Factors Affecting Melt Flow Rate of Thermoplastics

    Other than molecular weight, what are the factors which affect the melt flow rate of thermoplastic?
  27. E

    Conditions for Index Size in A_5 and S_5 Centralizers

    For any element x \in A_5, we have that [A_5:C_{A_5}(x)]=\begin{cases} [S_5:C_{S_5}(x)], & \text{condition 1} \\ \frac{1}{2}[S_5:C_{S_5}(x)], & \text{condition 2} \end{cases} Basically I want to know what the conditions are. Note that C is the centralizer.
  28. M

    Find index of refraction of a sphere given the beam path

    Homework Statement A beam of parallel light rays from a laser is incident on a solid transparent sphere of index of refraction n1 (see figure). (a) If a point image is produced at the back of the sphere, what is the index of refraction of the sphere? (b)What index of refraction, if any, will...
  29. B

    Index notation of matrix tranpose

    Zee writes in Einstein Gravity in a nutshell page 186 "let us define the transpose by ##(\Lambda^T)_\sigma^\mu = \Lambda_\sigma^\mu##" and even emphasizes the position of the indexes. Yes, they are not exchanged! This must be a typo, right?
  30. Greg Bernhardt

    Insights Physics Forums Crackpot Index - Comments

    This is primarily for fun, but given our experiences here at PF, it could be an excellent crackpot detector tool! Next time you read a post that sounds a bit off, refer to this index. It was compiled by PF staff and science advisors. The higher the point value, the greater the chance it's...
  31. A

    Finding index of refraction

    Homework Statement Consider a special crystal sphere, where light from a distant object is focused by the front surface of the sphere exactly onto the opposite side of the sphere. What is the index of refraction of the sphere? Assume the sphere is in air. Homework Equations (n'/l') -...
  32. WannabeNewton

    Index gymnastics-Maxwell's equations

    Homework Statement Let ##X^{ab}## be an antisymmetric tensor such that ##\nabla^{(a}X^{b)c} = 0##. Show that if ##R_{ab} = 0##, then ##F_{ab} = R_{abcd}X^{cd}## satisfies Maxwell's equations ##\nabla^a F_{ab} = 0, \nabla_{[a}F_{bc]} = 0## where ##R_{abcd}## is the Riemann curvature tensor and...
  33. S

    Relation between refractive index and model equation

    Fact: The refractive index depends on the medium. Also, in general, to study the pulse propagation in a medium, there is a governing model equation (e.g. Non linear Schrodinger equation). My question is: Will there be any relation between the model equation and the refractive index? Why...
  34. S

    How does optical density relate to mass density and refractive index?

    Hello I am preparing a lesson on refraction and I've come across a confusing point. In a book I have read, it was said that the optical density of a material is proportional to the refractive index. That is, the greater the optical density, the greater the refractive index. I have however...
  35. B

    Index of refraction and density

    Hi, Is it possible that the medium of lesser density has larger index of refraction? If yes, please give me some examples. Thanks in advance.
  36. Saitama

    Optics - Find the refractive index

    Homework Statement An object is located at a distance R from a sphere of radius R. The final image is formed at the same distance R on the other side of the sphere. Calculate the refractive index of the material of the sphere.Homework Equations Since we are dealing with refraction at spherical...
  37. M

    Very specific question about index notation

    I am reading through this text http://www.ita.uni-heidelberg.de/~dullemond/lectures/tensor/tensor.pdf and am having a bit of trouble with one of the arguments that is put in index notation. Specifically, equation (3.3). I was wondering if anyone could have a look at it and clear up a...
  38. Z

    Gold's index of refraction in micro-onde

    Are there someones know about gold's index of refraction in micro-onde, for exemple in frequency 10GHz? Or a book in which I may find the value. Thanks a lot.
  39. K

    Relating absorbance wavelengths and refractive index

    Dear All, thank you for your attention. I am a Biologist and I was wondering if it is possible to translate absorbance λ values into a refractive index value? I found out about the sellmeier equation however it appears to require coefficients that have to be experimentally determined...
  40. S

    Smallest curvature radius in gradient index optics

    Hello, would someone know what is the smallest radius of curvature achievable with current gradient index optics (GRIN) technology? I mean, how much could one "curve" a ray of light? Many thanks! :smile:
  41. N

    Dependence of refractive index

    Why does light slow down in glass?Can anybody explain why speed of light is slow in glass than in vacuum?
  42. Markus Hanke

    Tensor Index Notation Question

    I am just wondering, is there a difference in meaning/definition between the indices of a tensor being right on top of each other A_{\mu }^{\nu } and being "spaced" as in A{^{\nu }}_{\mu } I seem to remember that I once read that there is indeed a difference, but I can't remember what it...
  43. S

    Graded Index Fiber's Optimal Grade Profile Parameter P = 2

    This was something I was thinking about yesterday regarding graded index optical fibers. So since most graded index fibers adhere to the power-law function for its refractive index profile of the core shown below: n^2 (r)=n_1^2 [1-2(\frac{r}{a})^p ∆], r≤a, where ∆...
  44. S

    Wave aspect of light( index of refraction)

    hello if the fish is swiming below the water, and we need to catch it, we will spear the fish above, below or at the fish? if we will use laser light, thn above, below or at the fish?
  45. M

    Using Index Theory to show a system has no closed orbits

    Homework Statement I'm doing a course in nonlinear dynamics using Strogatz. One of the exercises in the book is "Using index theory show that the system has no closed orbits" Homework Equations \dot{x} = x(4-y-x^{2}) , \dot{y} = y(x-1) The Attempt at a Solution Turns out there...
  46. K

    Why is the index of refraction dependent on the dielectric constant

    and frequency? Could someone point me in a direction where this is explained in depth? I understand polarization and the dielectric constant as I've taken E&M 1
  47. H

    Modulation Index Dilemma - DSB-LC AM Modulation

    Homework Statement A given DSB-LC AM transmitter develops an unmodulated power output of 1kW across a 50 ohm resistive load. When a sinusoidal test tone of 5V is applied to the input of the modulator, it is found that the spectral line for each sideband carrier in the magnitude spectrum is...
  48. L

    Series soln to d.e. - Index of summation after differentiation

    Homework Statement I am confused about what happens to the index of summation when I differentiate a series term by term. Let me show you two examples from my diff eq book (boyce and diprima) which are the primary source of my confusion: Homework Equations From page 268: The function f is...
  49. R

    Index of Refraction Concept - Extremely Confusing

    I have just a few more questions regarding index of refractions and reflections... 8. A fly is 10 cm above the surface of a pond. How high above the water does the fly appear to a fish directly below (nair = 1, nwater = 1.333)? (A) 10 cm (B) 7.5 cm (C) 13.3 cm (D) 12.5 cm (E) fish cannot see...
  50. R

    Stressed about Physics Exam Help with refractive index concept

    7. The figure shows the path of a portion of a ray of light as it passes through three different materials. What can be concluded concerning the refractive indices of these three materials. (A) n1 < n2 < n3 (B) n1 > n2 > n3 (C) n3 < n1 < n2 (D) n2 = n1 > n3 (E) n1 = n2 < n3 The...
Back
Top