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. F

    Why converting time to index in pandas dataframe?

    Hello, When dealing with a dataframe with two columns, X and T where T is time, the time column is often converted to be the index of the dataframe itself (which by default is 0,1,2,3,...). What is the advantage of doing that? I know how to implement that but I am not sure what the main benefit...
  2. W

    LaTeX Entering a caret within a Latexed expression: Ends up mangled...

    Hi, Trying to Latex in an estimator y^ together with an index, y_i . The latter is obvious as ##y_i##, but I can't get the estimator ^ without mangling it all. Any ideas?
  3. Rymazon

    I Outer layer refractive index - total internal refection on waveguide

    I am interested in experimenting with AR lenses and one of the main technologies is a waveguide. They rely on total internal reflection, which needs light to go from a higher to lower refractive index medium. I am reading that current AR lenses use an outer layer with a lower refractive index to...
  4. orangephysik

    Glass prism and its refractive index

    Hi, I've attached the photo of the diagram, a photo of my drawings on the diagram. for a): Since the prism is an equalateral triangle, all angles inside the prism is 60°. This means the angle adjacent to α is 180° - 60° = 120°, which means the last angle is 180° - 24.5° - 120° = 35.5°. The...
  5. .Scott

    I Why is Cherenkov radiation blue? And what about refractive index?

    I got this question from my son last night. If you Google "Why is Cherenkov radiation blue", you get this: Somewhat more substantial is the Wiki article on the Frank-Tamm formula. That formula ties the Cherenkov radiation wavelengths to the transmission characteristics at any specified...
  6. Ranku

    I Density parameter and curvature index

    For Ω=1, κ=0. Does the value of κ simply follow from the value of Ω, or can its value have an independent existence? So if Ω>1, does κ have to be 1?
  7. S

    I Consistent matrix index notation when dealing with change of basis

    Until now in my studies - matrices were indexed like ##M_{ij}##, where ##i## represents row number and ##j## is the column number. But now I'm studying vectors, dual vectors, contra- and co-variance, change of basis matrices, tensors, etc. - and things are a bit trickier. Let's say I choose to...
  8. Vanilla Gorilla

    B Beginner Einstein Notation Question On Summation In Regards To Index

    So, I have recently been trying to learn how to work with tensors. In doing this, I have come across Einstein Notation. Below is my question. $$(a_i x_i)_{e}= (\sum_{i=1}^3 a_i x_i)_r=(a_1 x_1+a_2 x_2+a_3 x_3)_r$$; note that the following expression is in three dimensions, and I use the...
  9. brotherbobby

    Evaluating several powers of ##x## from a given equation

    Problem statement : If ##\boldsymbol{\displaystyle x^{\displaystyle 2x^{\displaystyle 6}}=3}##, evaluate ##\boldsymbol{\left(x^{\displaystyle x^{\displaystyle x^{\displaystyle 6}}}\right)^{\displaystyle\sqrt 3} = ?}##. Attempt : I copy and paste my attempt using Autodesk...
  10. shivajikobardan

    MHB Why did we remove multiple document types within an index in ElasticSearch?

    The answer is this-: Because we can't declare a field of different data types within a same index in different document types. Say there's an index called "college". Then there are document types called "student" "teacher" "administration" "staff". What problem would occur if we allow this...
  11. shivajikobardan

    Comp Sci Creating index vs adding document to index differences

    These are the steps of indexing in Lucene given in our syllabus-: The first step says that it is creating an index whereas the last step says that it's adding document to index. What's the difference between these two? Can I get an example. Here's what I think it should happen-: 1) Collect...
  12. bbbl67

    I Do materials have a refractive index for radio waves?

    It's been stated that the index of refraction of materials varies with frequency throughout the EM spectrum. What are the index of refraction for various materials in the radio frequency?
  13. N

    Lens Calculations using Refractive Index

    Answer: I already found the answer for Sin theta 2 like the pic below But, I am still not sure about how to derive delta here. Can anyone show me they way? thank you
  14. Eclair_de_XII

    Fortran How do I create a pointer to an element of an array with a variable index?

    program main implicit none real,dimension(3),target::x=[0,4,5] real,pointer::y call point_to_biggest(x,y) !print *,y ! For testing purposes; to be unmuted only when y points to something contains subroutine point_to_biggest(array,ptr) implicit none...
  15. M

    A Wald's Abstract Index Notation: Explaining T^{acde}_b

    In the second paragraph on page 25 of Wald's General Relativity he rewrites T^{acde}_b as g_{bf}g^{dh} g^{ej}T^{afc}_{hj} . Can anyone explain this? I am confused by the explantion given in the book. Especially puzzling is that the inverse of g seems to be applied twice, which I can't make sese...
  16. Milsomonk

    I Index Gymnastics: Tensor Product of 4-Vectors & Tensors

    Hi all, I'm pretty rusty on my index gymnastics, I'm wondering if someone can explain to me the correct way to take the tensor product of a general 4-vector ## g^{\mu} ## and a tensor ## P^{/mu\ /nu} ## in Minkowski space. The part that is troubling me is the fact that both have a ## \mu ## as...
  17. shivajikobardan

    Comp Sci Troubleshooting Index Error 7 in Decoding

    Source of my knowledge-: Encoding-: Decoding-: Other references-: Question-: There is no entry for index 7 in the dictionary while decoding, how do I fix this issue?
  18. shivajikobardan

    MHB LZW decoding-:There is no entry for index 7 in the dictionary while decoding, how do I fix this issue?

  19. C

    I Manipulation of 2nd, 3rd & 4th order tensor using Index notation

    If I have an equation, let's say, $$\mathbf{A} = \mathbf{B} + \mathbf{C}^{Transpose} \cdot \left( \mathbf{D}^{-1} \mathbf{C} \right),$$ 1.) How would I write using index notation? Here A is a 4th rank tensor B is a 4th rank tensor C is a 3rd rank tensor D is a 2nd rank tensor I wrote it as...
  20. jaumzaum

    I Refractive index vs Temperature

    I was studying radio waves phenomenons and found this on Wikipedia: "Tropospheric ducting is a type of radio propagation that tends to happen during periods of stable, anticyclonic weather. In this propagation method, when the signal encounters a rise in temperature in the atmosphere instead of...
  21. R

    Calculating the mechanical index of applied ultrasound

    On the surface, the equation is simply the peak rarefractional pressure divided by the root of the applied frequency: ##MI = \frac{P_{ra}}{\sqrt{f}}## But the pressure is reduced/derated by an attenuation factor/coefficient that is dependent on depth and frequency e.g. ##0.3 \ dB / (cm \cdot...
  22. T

    A Reflectivity with gradient in refractive index

    Hey all. Was wondering if anyone knew how I would go about determining the amount of reflectance that occurs when there is a gradual change in the refractive index. For example, if I have a material in air whose refractive index begins at e_r=1 (i.e. it matches the refractive index of the air)...
  23. mcas

    Estimate the following quantities from a graph of the refractive index of NaCl

    a) I managed to obtain some results that are roughly around what is given in the answers. Because \varepsilon_{st} and \varepsilon_{\infty} are values of \varepsilon_{1}, I used this approximation: n\approx \frac{1}{\sqrt{2}} (\varepsilon_{1}+\sqrt{\varepsilon_{1}^2})^{1/2} -> \varepsilon_{1} =...
  24. LCSphysicist

    Problem involving interference and medium with index n

    > A diffraction grating, ruled with 300 lines per mm, is illuminated with a white light source at normal incidence. (ii) Water (of refractive index 1.33) now fills the whole space between the grating and the screen? What is the angular separation, in the first-order spectrum, between the 400 nm...
  25. Ranku

    I Curvature Index in Flat Universe with Cosmological Constant?

    Is the curvature index κ necessarily zero in a flat universe with cosmological constant?
  26. A

    I Index and bound shift in converting a sum into integral

    Considering the below equality (or equivalency), could someone please explain how the bounds and indices are shifted? $$\sum_{i=2}^{k}(h_i/f_{i-1})=\int_{1}^{k}(h(i)/f(i))di$$
  27. O

    I Need some help with trace calculation in an index theorem

    I hate to create a thread for a step in a calculation, by I don't know what else to do. I'm having a lot of trouble reproducing E. Weinberg's index calculation (found here https://inspirehep.net/literature/7539) that gives the dimension of the moduli space generated by BPS solutions in the...
  28. D

    Refractive index less than one

    Hello fellow users, I've been given the Lorentz model to calculate the refraction index of a dielectric, the formula in its simplest way states that: ##n^2(\omega) = 1 + \frac {\omega^2_p} {\omega^2_0 - \omega^2}## Where ##\omega_p## is the plasma frequency and ##\omega_0## is the resonance...
  29. J

    Lens with different refraction index on each side

    So I am not really familiar with lens questions when there's 2 different refraction indexes. I tried using n1/p+n2/q=-(n2-n1)/R but it doesn't seem to work. p would be the actual location of the fly and q would be the virtual location, what the fish sees if I am understanding correctly. n1...
  30. L

    Material index formulas for optical clarity and Ashby charts

    Hello:) i need some help trying to find some formulas that i can retrive the material index from at the end of simplification to use with an ashby chart to select materials. here is an example of deflection equation from a sphere used for a spherical cap and what material index we used to find...
  31. Mayan Fung

    I Refractive index of a medium in relativistic motion

    I once naively think that the speed of light is also a constant in a medium in all inertial frames which is not the case. I tried to derive the result yet there is a discrepancy from the results I read in some articles. For example, from [Link to unpublished paper redacted by the Mentors], the...
  32. S

    A Index notation and partial derivative

    Hi all, I am having some problems expanding an equation with index notation. The equation is the following: $$\frac {\partial{u_i}} {dx_j}\frac {\partial{u_i}} {dx_j} $$ I considering if summation index is done over i=1,2,3 and then over j=1,2,3 or ifit does not apply. Any hint on this would...
  33. GrimGuy

    A Help with 2nd Order Ricci: Indexes in GR

    In my studies trying to get the Ricci tensor of 2° order i stuck in this expression: ##h_{\mu}^{\ \sigma},_{\lambda}h_{\sigma}^{\ \lambda},_{\nu}=h_{\mu \lambda},^{\sigma}h_{\sigma}^{\ \lambda},_{\nu}## So, to complete my calculations those quantities should be the same, but i don't understand...
  34. Condereal

    A How to optimize a parameter that is the index of a summation?

    Hi everyone! So, the problem I'm having has more to do with "how to pose the problem to solve it in some software as Matlab or similar". I have experimentally measured values ##\varepsilon_{exp}^i## with ##i=1,\cdots,6##, that is, I have 6 detectors. Then, I know (from a Monte Carlo...
  35. S

    Plot with linspace: display x-tick values not index

    I want my graph to display the tick values along the x-axis, instead of the index number. Because I use linspace, my data goes from 0 to 1, but my index ranges from 1 to 1000. My plot labels the x-axis from 1 to 1000, by default. I want to change the default (or just program it) to display 0 to...
  36. chwala

    Solve for x in this index notation problem

    ok, by direct substitution i know that either ##x=2## or ##x=4## but i would like to prove this analytically, would it be correct saying, ##xln 2= 2ln x## ##xln_{2}2=2 ln_{2}x## ##x=2 ln_{2}x## ##\frac {1}{2}=\frac { ln_{2}x}{x}## ##ln_{2}x^{1/x}##=##\frac {1}{2}## →##2^{1/2}##=##x^{1/x}##...
  37. P

    Suspended particles and the index of refraction

    Do suspended sub-micron sized particles influence the index of refraction of a liquid?
  38. L

    What is the refraction index of liver?

    Ok, so i finished my lab for physics 2 today. It was on reflection, refraction, Snells law etc. During my study, i looked up the refraction index of glass via this link: https://en.wikipedia.org/wiki/List_of_refractive_indices i noticed it had refraction indexes for a number of things that do...
  39. E

    B Can someone please explain Feynman's index notation?

    I found some parts of Vol II, Chapter 25 basically unreadable, because I can't figure out his notation. AFAICT he's using a (+,-,-,-) metric, but these equations don't really make any sense: The first one is fine, and so is the second so long as we switch out ##a_{\mu} b_{\mu}## for ##a_{\mu}...
  40. S

    A Why does equation 35.21 have an extra minus sign?

    Eq35.17 and 35.18 is obtained,but the result of Eq35.21 I obtained has an extra minus sign,I don't know what's wrong of my calculation,so I hope some people much more smarter can figure it out.Thanks.
  41. H

    MHB Double summation: inner index = function of outer index

    Here N, a, and b are integer constants. M is also an integer but changes for every value of x, which makes the index of the second summation dependent on the first. The problem is the relationship M(x) is analytically difficult to define. Is there a way to solve/simplify this expression?
  42. Data Base Erased

    I Beginner question about tensor index manipulation

    For instance, using the vector ##A^\alpha e_\alpha##: ##g_{\mu \nu} e^\mu \otimes e^\nu (A^\alpha e_\alpha) = g_{\mu \nu} (e^\mu, A^\alpha e_\alpha) e^\nu ## ##g_{\mu \nu} e^\mu \otimes e^\nu (A^\alpha e_\alpha) = A^\alpha g_{\mu \nu} \delta_\alpha^\mu e^\nu = A^\mu g_{\mu \nu} e^\nu = A_\nu...
  43. Another

    Kramers-Kronig relation for refractive index

    I don't understand why sometime for paper : Kramers-Kronig relations and sum rules of negative refractive index media for paper : A Differential Form of the Kramers-Kronig Relation for Determining a Lorentz-Type of Refractive Index* for paper : Comparison Among Several Numerical...
  44. A

    Which symbol is more relevant for refractive index: μ or n?

    both "mew"(sorry i couldn't get the symbol on on my keyboard so I'm writing it😊) and n are used for depicting refractive index i want to know which is more relevant and is there any reason for it or which symbol should be used in what cases.
  45. A

    Light speed and refractive index

    Refractive index of a medium is defined as : n = c / v; v is speed of light in medium. I believe n is never measured directly as here is no way to directly verify c / v. So what I guess is that all refractive index values are experimentally measured using n = sin α₁ / sin α₂. But then there is...
  46. S

    Effect of index funds on stock markets

    The article https://www.bloomberg.com/news/features/2020-01-09/the-hidden-dangers-of-the-great-index-fund-takeover points out that 3 large index funds hold significant voting power in many US corporations and discusses possible effects ("dangers") that can arise from this. Another question...