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. Biker

    Turning the refraction formula into reflection: Negative index

    In refraction of spherical surfaces, We derived the formula to be: ## u_2 L^{'} = u_1 L + (u_2 - u_1) R## Where ##L^{'}## is the reciprocal of the distance of the image. ##L## is the reciprocal of the distance of the object. ##u_2## is the refractive index of the medium that the light ray is...
  2. quasarLie

    I Relation between the Point Spread Function (PSF) and the Morphological Index

    Hi, I want to know the relation between the point spread function (PSF) and the morphological index (Sharp, Sround, Ground). what does the PSF represent? and what is it's importance in the detection of astrophysical objects (quasars, galaxies)? Thanks
  3. Ella98

    UV-Vis spectroscopy: Changes in refractive index

    I wanted to know how do you control for changes in refractive index when you get the UV-Vis spectrum of an aqueous solution in a double beam spectrometer? Is that something the equipment does automatically? Or something I have to do? Also, how do these changes in refractive index occur? Thanks...
  4. binbagsss

    Energy-momentum tensor perfect fluid raise index

    Homework Statement This should be pretty simple and I guess I am doing something stupid? ##T_{bv}=(p+\rho)U_bU_v-\rho g_{bv}## compute ##T^u_v##: ##T^0_0=\rho, T^i_i=-p##Homework Equations ##U^u=\delta^t_u## ##g_{uv}## is the FRW metric,in particular ##g_{tt}=1## ##g^{bu}T_{bv}=T^u_v## ##...
  5. P

    Is the index of refraction constant for a given medium?

    If we have a medium (say, glass) with an index of refraction, n=1.33, the speed of light in it will be c/1.33. However, blue light travels slower in glass than does red light. Since c is constant and the speed of light is changing, doesn't that mean that the index of refraction will vary based...
  6. B

    Refractive Index of Coaxial Cable

    Anyone know the refractive index of a standard coaxial cable and have a traceable source?
  7. B

    Subgroup of Index ##n## for every ##n \in \Bbb{N}##.

    Homework Statement A nonzero free abelian group has a subgroup of index ##n## for every positive integer ##n## Homework EquationsThe Attempt at a Solution If ##F## is a nonzero free abelian group, then ##F## is isomorphic to the direct sum ##G= \sum_{i \in I} \Bbb{Z}##, where ##I \neq...
  8. Richie Smash

    How to find unknown refractive index to solve for theta

    Homework Statement Hello, I will post a picture below. An optical device consists of two glass blocks of different indices of refraction, arranged as shown in the picture. The refractive index from air to medium 1 is 1.2, and the refractive index from medium 1 to medium 2 is 1.25 If light is...
  9. Gene Naden

    I Contravariant first index, covariant on second, Vice versa?

    I am working through a derivation of the Dirac matrix transformation properties. I have a tensor for the Lorentz transformation that is covariant on the first index and contravariant on the second index. For the derivation, I need vice versa, i.e. covariant on the second index and contravariant...
  10. H

    I Identification of index of Bragg peaks for NaCl

    In my x-ray crystallography data for a single crystal of NaCl using x-rays generated by Cu k alpha (154 pm), there are three peaks identified at angles of 14.155, 31.475 and 53.5 degrees. According to http://www.nada.kth.se/~fabo02/solid/xray.pdf, these peaks must correspond to only even values...
  11. H

    I How to index single crystal Bragg peaks

    I am able to find methods on how to index Bragg peaks for powder diffraction, and was wondering if the method is the same for single cubic crystals of NaCl? I have tried and cannot get the expected sequence of allowed reflections for cubic lattices (h^2 + k^2 + l^2= 3, 4, 8, 11, 12, 16, 19...
  12. heavystray

    B Temperature based on colour index using Planck's law

    Hi, I'm trying to find temperature of stars using the stars' B-V magnitude by using the Planck law. However i do not know how to solve for T (assume other quantities are all given and determined first). Any idea how to do so? I already tried to do it but reach a dead end. Here I attached the...
  13. Pushoam

    Refractive Index: Homework Answers

    Homework Statement Homework EquationsThe Attempt at a Solution I think that ## \frac { \sin \theta } {\sin \theta ' } = \frac { n_2} { n_1} ## I am taking the dielectric constant as 1 as the potential is 0 i.e. the medium is air.. So, ##n_1 = 1## For the 2nd medium, The dielectric...
  14. C

    Phase/group refractive index and reflection

    Let's consider a simlified ionosphere. It is a cold plasma without magnetic field and without electron-neutral collisions. The refractive index for radio waves is nf=sqrt(1-(w/wp)^2) (w is the frequency of the radiwave, wp the plasma frequency). It easy to demonstrate that the group refraction...
  15. W

    Calculating Index of Refraction with Wavelength

    Homework Statement A beam of white light goes from air into water at an incident angle of 75 deg. What is the critical angle that the violet (410 nm) parts of the light is refracted? Homework Equations n1sin(θ1)=n2sin(θ2) n=c/v c=λf The Attempt at a Solution So sure, I get that the answer is...
  16. Erenjaeger

    Finding Index for 0Hz on RF Spectrum

    Homework Statement Find the index corresponding to 0Hz on my RF spectrum vs frequency garph Homework Equations using np.argmax or np.argmin [/B]The Attempt at a Solution np.argmin just gives the proof that the lowest value in frequency array plotted on x-axis is 0, but now i need to find the...
  17. 1

    B Index numbers vs. Quantity in a group

    "Quantity in a group" If you have 6 apples and you subtract 4, then you have 2 apples left "in the group". "Quantity in an Indexed group" I'm a computer programmer - I manipulate arrays of data (a.k.a. matrix) In a math formula format: x1, x2, x3... xn (as a side note - in a computer format...
  18. S

    I Index Gymnastics: Matrix Representations & Rank-2 Tensor Components

    I'm trying to get the hang of index gymnastics, but I think I'm confused about the relationship between rank-2 tensor components and their matrix representations. So in Hartle's book Gravity, there's Example 20.7 on p. 428. We're given the following metric: ##g_{AB} = \begin{bmatrix} F & 1 \\...
  19. V

    How would you calculate the refractive index?

    Homework Statement A plano-convex lens has a focal length f= 0.2 m. The radius of curvature of the convex side of the lens has been determined to be 0.07 m and the radius of curvature of the flat side is assumed to be infinite. Calculate the refractive index of the lens. Homework Equations 1/f...
  20. T

    Constant thickness lens varying refractive index

    Homework Statement Homework EquationsThe Attempt at a Solution my initial approach was to just imagine the light rays leaving the focal point and emerging parrallel but then the result had no dependence on thickness how to tackle this problem how does the thickness even factor in
  21. T

    What is the relationship between critical angle and negative refractive index?

    Homework Statement [/B] Homework Equations Snell's Law: n1sin(i)=n2sin(r) Critical angle=sininverse(n1/n2) [**only works when n2>n1] If a light beam is incident at an interface of 2 mediums(with r.i n1 and n2) at an angle greater than the critical angle,the interface acts as a...
  22. hideelo

    I Index (killing form ?) in a reducible representation

    In Chapter 70 of Srednicki's QFT he discusses what he calls the index of a representation T(R) defined by Tr(TaR TbR) = T(R)δab I think other places call this a killing form, but I may be mistaken. In any case he discusses reducible representations R = R1⊕R2. He then states (eqn 70.11) that...
  23. R

    Refractive index as a function of the concentration of a sugar solution

    We recently performed an experiment with the idea to find refractive index of medium (water) as a function of wavelength of light. We then added some sugar to see how the refractive index changes with concentration of sugar solution. We got the following graphs. Are the relationships actually...
  24. T

    Dependence of index of refraction on frequency

    ok so recently i was doing dispersion of light and all of sudden something that i always took for granted came across the fact that blue light refracts more than red light then i recalled snells law and realized that it had no terms with the quantity of frequency in it (n sin θ = c) then i...
  25. S

    I Experimental bound on the scalar spectral index

    Based on the paper by Visinelli (https://arxiv.org/abs/1605.06449), He stated in page 6 that the scalar spectral index as given by the Planck 2013 data (https://arxiv.org/abs/1303.5076) is, ##n_s = 0.9655 \pm 0.0062~~## (##68\%## C.L.) but when I looked into the Planck 2013 paper, I did not...
  26. S

    Exploring the Relationship between Concentration & Refractive Index

    < Mentor Note -- two threads merged and new user reminded not to multiple-post threads at the PF > i'm experimenting about refractive index and i can't figure out the relationship between concentration of the solution and Refractive index. What i found about this is that RI is connected to...
  27. J

    A GR index gymnastics -- Have I misunderstood something or typo?

    Hello there, I am learning GR and in the cosmology chapter, we are using the metric $$ ds^2 = - dt^2 + a^2(t) \left[ \frac{dr^2}{1 - \kappa r^2} + r^2 d \Omega \right]. $$ Suppose now that ##U^\mu = (1,0,0,0)## and the energy momentum tensor is $$ T_{\mu \nu} = (\rho + p)U_\mu U_\nu + p g_{\mu...
  28. T

    I Constructing Index: Combining Financial Time Series

    Hello, I'm facing a problem in a project that I'm not being able to solve. I have two different timeseries, and I want to construct an index that represents the two of them, each of variable weights (so I could choose 50% weight for each, or other combination). These are financial time...
  29. H

    A Meaning of Slot-Naming Index Notation (tensor conversion)

    I'm studying the component representation of tensor algebra alone. There is a exercise question but I cannot solve it, cannot deduce answer from the text. (text is concise, I think it assumes a bit of familiarity with the knowledge) (a) Convert the following expressions and equations into...
  30. 2

    How does an index of refraction affect the EM field?

    Hello. Say I have some refraction index n in a homogeneous material. Say I also have equations for the EM field (E and B vectors). Is it true to say that all that changes is the wavelength \lambda \to \frac{\lambda_0}{n} and consequently the wave vector k \to k_0 n ? Is it enough to account...
  31. 2

    I Plasma self-focusing index of refraction < 1?

    Hi. After reading about self-focusing in plasmas I came across the relative index of refraction that a light wave experiences during the interaction with plasma. Namely n = \sqrt{1-\frac{{\omega_p}^2}{{\omega}^2}} where \omega_p is the plasma frequency and \omega is the light (for example laser)...
  32. pallab

    The dielectric constant of water is 80, but refractive index

    The dielectric constant of water is 80, however its refractive index is 1 ·33 invalidating the expression n*n=ε. why?
  33. F

    I Index Notation for Lorentz Transformation

    The Lorentz transformation matrix may be written in index form as Λμ ν. The transpose may be written (ΛT)μ ν=Λν μ. I want to apply this to convert the defining relation for a Lorentz transformation η=ΛTηΛ into index form. We have ηρσ=(ΛT)ρ μημνΛν σ The next step to obtain the correct...
  34. sturn

    Index of Refraction: Range of Values?

    as far as i know, when plugged in, SLM 's change index of refraction to accommodate the phase changes happening to the input (light). Is there a range for the possible values of the index of refraction?
  35. simonbour

    I Estimating UVA & UVB from UVI index

    Hi all, I am interested in estimating the amount of UVA and UVB from the UVI index for parctical purposes. I have found 2 research papers that shed some light on the matter (see [1][2]). Let us define first UVB as the solar irradiance integral in the range 280-315mm and UVA as the solar...
  36. P

    A Basic program -- missing array index?

    If someone can help me with this I'd be grateful. I've asked this question on other forums, gotten lots of views but no answer. It's no big deal but maybe someone has a solution. I've have a program written in BASIC. I did not write the program and I have no way to contact the original...
  37. C

    Path of light in a medium with increasing refractive index

    Homework Statement A medium has a refractive index, ##n(y)=n_0 \sqrt{1+y/a}## which increases along y. Assume ##n_0## and ##a## are constants and always positive. If a light beam enters horizontally along y, through (0,0), find the curve the path of the light ray takes. Homework Equations ##F...
  38. Kara386

    I Exploring Tensor Products: Index Notation

    We've been learning about tensor products. In particular, we've been looking at index notation for the tensor products of matrices like these: ## \left( \begin{array}{cc} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array} \right)## And ## \left( \begin{array}{cc} b_{11} & b_{12} \\ b_{21} & b_{22}...
  39. B

    Index of Intersection of Subgroups with Finite Index

    Homework Statement Suppose that ##H## and ##K## are subgroups of finite index in the (possibly infinite) group ##G## with ##|G : H|m## and ##|G:K|=n##. Prove that ##lcm(m,n) \le |G : H \cap K | < mn##. Homework EquationsThe Attempt at a Solution I was able to get the upper bound on ##|G : H...
  40. G

    Electronically Change Material Refractive Index

    Hi, How do I electronically change material refractive index? Is Kerr effect the right way? Is there any good material that have Kerr effect, that can be used in modern gadgets? Is there any gadget/device that use this kind of material? Thanks:) Regards, Grheee
  41. G

    I A good reference sheet/manual about Einstein index notation?

    I'm not used to Einstein notation and I'm struggling a bit with the more complex examples of it. I got the general gist of it and can follow the basic cases but get sometimes a bit lost when there are a lot of indexes and calculus is involved. All primers I've found online for now only give the...
  42. L

    I Computing the Weingarten Map L by raising an index

    Hello, I have to prove that the Weingarten Map L for the unit sphere is + or - the identity "by computing the Lik in a coordinate patch and raising an index". S^2 : x(Φ,θ)=(sinΦcosθ, sinΦsinθ, cosΦ) I have computed the first (g) and the second (Λ) fundamental forms and I have found : L=g-1Λ=...
  43. Alvis

    Prove n1<N<n2 for effective index N....

    Homework Statement Prove for effective index N that n1<N<n2. Homework Equations [/B] N=n1sin(theta) TIR is theta>thetacritical snells law-n1sin(theta)=n2sin(theta2)The Attempt at a Solution I know why N is strictly less than n1 since sin(theta) goes from 0 to 1 and if its at 1 theta has to...
  44. mattyboson12

    Material selection based on either U1 or U2 merit index

    Homework Statement Choose a component based on either U1 or U2 merit index and select what you believe to be the optimum material. Homework Equations U1=(σ)^2/E (Energy density) U2=(σ)^2/(Eρ) (specific energy density) The Attempt at a Solution I was going to use a spring damper from a...
  45. A

    MHB Index of Positivity in Quadratic Form: $f(X) = \sum^{n}_{i=1} x_{2}^{i}$

    I am working on this problem: Show that the index of positivity is $n$ for this quadratic form: $$f: \mathbb R^n \rightarrow \mathbb R, \ f(X) = \sum^{n}_{i=1} x_{2}^{i} + \frac{1}{n} \sum_{i \neq j}x_ix_j.$$ Here is a solution I got from other sources: Since the index of quadratic form is the...
  46. K

    Determining the the index of refraction

    Homework Statement I must determine the refractive index of the adhesive tape. Tools I can have is: laser, tape, carton, scissors etc. I don't know how to do it. Homework Equations n=c/v n=sin alfa/sin betaThe Attempt at a Solution I tried a lot of configurations to observe something but...
  47. S

    I Normalizer of a subgroup of prime index

    Hello! Can anyone help me with this problem? If H is a subgroup of prime index in a finite group G, show that either N(H)=G or N(H) = H. Thank you!
  48. sounouhid

    Thin film refractive index determination

    Hi every one , I want to find the refractive index of a thin film using it's reflectance and transmittance spectrum is there a way to do that ? thank you for advance
  49. binbagsss

    I Index Notation, Covector Transform Matrix Rep

    Just a couple of quick questions on index notation, may be because of the way I'm thinking as matrix representation: 1) ##V^{u}B_{kl}=B_{kl}V^{u}## , i.e. you are free to switch the order of objects, I had no idea you could do this, and don't really understand for two reasons...
  50. I

    Proving that three closed orbits must contain a fixed point

    A smooth vector field on the phase plane is known to have exactly three closed orbit. Two of the cycles, C1 and C2 lie inside the third cycle C3. However C1 does not lie inside C2, nor vice-versa. What is the configuration of the orbits? Show that there must be at least one fixed point bounded...
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