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Group Theory -- HOME [GT-HOME]Node id: 5326collectionTheory of Finite Groups
Study Material Bundle
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22-09-03 13:09:40 |
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Recommended/EM-04001 Node id: 2360pageVan de Graaff Generator
The principle of van de Graff generator is based on the property of conductors that net charge on a conductor resides on the outer surface of the conductor.
Link to the origninal article is provided below.
REF: https://csbsudma.files.wordpress.com/2015/04/a-re |
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22-09-03 06:09:18 |
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[LEC/EM-10011-RECO] Conservation laws Node id: 5746pageHave you ever given thought as to why conservation laws are ferquently given by an equation of continuity?
A well known example if charge conservation. |
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22-09-03 06:09:05 |
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Testing Inclusion of a PRE and POST NOTES for a basic pageNode id: 5742page |
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22-09-02 13:09:31 |
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Testing Fonts as images. EM-QTD-09001Node id: 5741pageMathJax does not support many fonts. Can i copy the font from pdf file and paste on html pgae?
hG, ∗i 
This size is too big.
PDF should be unzoomed to 100% size before copying the font as image.
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22-09-01 07:09:53 |
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[NOTES/EM-10003]-Examples of flow of energyNode id: 5736pageEnergy stored in capacitor while it is being charged and the heat produced in a current carrying resistor are explained in terms of flow of energy as given by the Poynting theorem. |
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22-08-28 10:08:18 |
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Fraleigh :: Role of DefinitionsNode id: 5733page
These are pages reproduced from Fraleigh.
This material is a must for every student who aspires to learn Mathematics.
The author makes several other important points that students must pay attention.
An excellent text book to learn Abstract Algebra.
This has been uploaded as supplementary reading resource for course Mechanics-I (2019),
now running at Chennai Mathematical Research Institute.
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22-08-27 23:08:49 |
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Proofs Programme :: Top-PageNode id: 750page'PROOFS' Programme:
Physics Resources Online Open and Free Source, PROOFS is a community based programme to create, share, and provide content to every one involved in teaching and learning of Physics and Mathematics. It is the policy of the author that the contents of the PROOFS Programme will remain always available for downloading freely on World Wide Web. The PROOFS Programme differs from other similar efforts in a number of ways in its objectives and as well as features. Click here to learn more about features. |
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22-08-27 23:08:21 |
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Proofs Warehouse -I Node id: 3487collection
This Warehouse is a collection of resource items for internal use and development of Proofs programme. Some of the items appearing here are being developed on experimental basis. Most of the items in this tree are likely to be moved, or removed, in future.
Still some other items appearing here will serve as supplementary resources for a course being taught at a given time. These may not remain available after the course is over.
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22-08-27 23:08:52 |
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Solutions :: Part-II -- Problem SessionsNode id: 1337pageSolutions to Selected Problems Sessions in the book have started appearing here*.
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22-08-27 10:08:26 |
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LSN/MM-17 :: Summation Convention, $\epsilon,\delta$ symbols and All That (LNK) Node id: 3390page |
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22-08-27 10:08:15 |
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2017 Statistical Mechanics - A Course Given at IIT Bhubaneswar ---- K. P.N. Murthy and A. K. KapoorNode id: 3762page Statistical Mechanics (2017) :: A Course offered by KPN Murthy at IIT Bhubaneswar.
All downloads of this course
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22-08-27 10:08:28 |
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2019-CM-I @ CMI :: All LessonsNode id: 3174curated_content |
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22-08-27 10:08:11 |
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PKG/MM-17-01 Mathematical PreliminariesNode id: 3445page |
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22-08-26 19:08:06 |
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[NOTES/EM-10001]-Overview of Electrodynamics EquationsNode id: 5731pageImportant equations of electrodynamics,the equation of continuity, the Lorentz force and the Maxwell's equations are summarized.
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$
$\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$
$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$
$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$
$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$
$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$ |
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22-08-26 19:08:47 |
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[LSN/VS-01001] Groups and FieldsNode id: 3493page |
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22-08-26 12:08:25 |
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[PSET/QM-06001] States and Dynamical VariablesNode id: 1044page |
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22-08-26 12:08:12 |
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[QUE/ME-02009] Successive RotationsNode id: 3203pageRead the following theorem of Rodrigues and Hamilton taken from Whittaker, Sec2-3.
The theorem of Rodrigues and Hamilton.Any two successive rotations about a fixed point can be compounded intoa single rotation by means of a theorem, which may be stated as follows:Successive rotations about three concurrent lines fixed in space, through twice the angles of the planes formed by them, restore a body to its original position. For let the lines be denoted by OP, OQ, OR. Draw. Op, Oq, Orperpendicular to the planes QOR, ROP, POQ respectively. Then if a body isrotated through two right angles about Oq, and afterwards through two rightangles about Or, the position of OP is on the whole unaffected, while Oq ismoved to the position occupied by its image in the line Or; the effect is therefore the same as that of a rotation round OP through twice the anglebetween the planes PR and PQ, which we may call the angle RPQ. It follows that successive rotations round OP, OQ, OR through twice the angles RPQ, PQR, QRP, respectively, are equivalent to successive rotations through two right angles about the lines Oq, Or, Or, Op, Op, Oq; but the latter rotations will clearly on the whole produce no displacement; which establishes the theorem.
Quoted from Whittaker
Now solve the following problem. Following two rotations are preformed in succession\\ (i) rotation by angle \(\alpha\) about axis \(\hat{n}\);\\ (ii) rotation by angle \(\beta\) about axis \(\hat{m}\).\\ Find the angle and axis of rotation that will produce the same result as the combined effect of above two rotations. |
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22-08-26 12:08:34 |
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LFM-CM-02 Frictional forceNode id: 3301pageQuestion: Is the frictional force a force of constraint? What is the virtual work done by frictional forces?
The principle of virtual work and D' Almebert's principle eliminate constraint forces making use of the fact that these forces do no work. What about friction? Is it a force of constraint in this sense? You find discussion of such fine details only in work of masters. See Sommerfeld \(\S\) II.8, p54.
Sommerfeld writes:
... we shall talk about the force of friction, which must be sometimes counted among the forces of reaction, sometimes among applied forces. It is a force of reaction if it occurs as static friction; applied force if it occurs as sliding or kinetic friction. Static friction is automatically eliminated by the principle of virtual work; kinetic friction must be introduced as an applied force. An external indication of this is the occurrence of the experimental constant \(\mu\) in the law of sliding friction. |
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22-08-26 12:08:49 |
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QM-1(2019) Theory for Tutorial -INode id: 3063page |
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22-08-26 12:08:34 |
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