(a) Prove that h(s) defined by Is an symmetric tensor. (b) Prove that h(A) defined by Is...
Question:
Is an symmetric tensor.
(b) Prove that h(A) defined by
Is an antisymmetric tensor.
(c) Find the components of the symmetric and antisymmetric parts of Š— defined in Exer. 14.
(d) Prove that if h is an antisymmetric (02) tensor.
h(,) = 0
For any vector .
(e) Find the number of independent components h(s) and h(A) have?
Transcribed Image Text:
ho(A, B) = thÃ, B) + fh(B, A)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
a Its obvious from the definition Eq 369 that the 0 2 tensor h s is symmetric Just interchange th...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Modern Physics questions
-
Find the components of the acceleration vector a in spherical coordinates.
-
Prove that, defined in Eq. (5.52), is a tensor. v
-
(a) Use Gauss's law to prove that the electric field outside any spherically symmetric charge distribution is the same as if all of the charge were concentrated into a point charge. (b) Now use...
-
Manual programming for the following picture : 3.000 2.250 1.500 .750 PART#:00002 ZEE & SLOTS (MANUAL PROGRAMMING) 5.0 REF. .500 5 1.375 3.000 2.250 TITLE: PART#: 00002 (ZEE & SLOTS) DRAWN BY:...
-
Mega-Mart, a discount store chain, wants to build a new superstore in an area in southwest Virginia near four small towns with populations between 8000 and 42,000. The coordinates (in miles) of these...
-
Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.1 defects per unit. Find the probability that a randomly selected unit will contain at least one...
-
The Wide World of Fluids article titled "Some Hurricane Facts,". Consider a category five hurricane that has a maximum wind speed of \(160 \mathrm{mph}\) at the eye wall, \(10 \mathrm{mi}\) from the...
-
In the current year, Whitaker Corporation has taxable income of $700,000 and tax preference items of $100,000. It also has $250,000 of positive AMT adjustment items and $80,000 of negative AMT...
-
What is a plan on how you intend to be successful in future semesters. The plan should be a source of motivation to do well in college, both professionally and personally. Include tips that you can...
-
Some data sets contain outliers, observations that fall well outside the overall pattern of the data. (We discuss outliers in more detail in Section 3.3.) Suppose, for instance, that you are...
-
Supply the reasoning leading from Eq. (3.23) to Eq. (3.24)? f = fa(a(; a((e e v) = (a ((v,
-
(a) Find the one-forms mapped by the metric tensor from the vectors O (1, 0, - 1, 0) O (1, 0, - 1, 0) O (-1, 0, - 1, 0) O(0, 0, 0, 1, 1). (b) Find the vectors mapped by the inverse of the metric...
-
Flip an unbiased coin five independent times. Compute the probability of (a) HHTHT. (b) THHHT. (c) HTHTH. (d) Three heads occurring in the five trials.
-
Assess the cost-effectiveness of a roof retrofit using a SIS for a Golden, CO, house that has an overall BLC of 400 W/C and roof insulated with RSI-5.9 with an exposed area of 180 m 2 . Estimate the...
-
Explain why groups play a vital role in our personal and professional lives.
-
Determine the annual electricity savings when the condensing temperature is reduced on average by 5C by an automatic controller for a 500-ton reciprocating chiller with a seasonal COP of 3.8. Assume...
-
For the same retrofit defined in Problem 11.7, (i) evaluate the cost-effectiveness of LED-integrated controls for various lifetimes ranging from 5 years to 30 years (use a 5-year increments), (ii)...
-
How would the wage rate and employment for the Escondida miners be determined in a competitive market? Workers at BHP Billitons Escondida mine in Chile, the worlds largest copper mine, have been...
-
Complete the requirements of P 610, assuming that Westgate Constructions contract with Santa Clara County does not qualify for revenue recognition over time. Data from in P 6-10 In 2024, the Westgate...
-
In a system with light damping (c < cc), the period of vibration is commonly defined as the time interval d = 2/d corresponding to two successive points where the displacement-time curve touches one...
-
In the lab frame, particles A and B move with speeds u and v along the paths shown in Figure. The angle between the trajectories is ?. What is the speed of one particle, as viewed by the other? 11 B
-
Consider the following variation of the twin paradox. A, B, and C each have a clock. In As reference frame, B flies past A with speed v to the right. When B passes A, they both set their clocks to...
-
A train with proper length L moves at speed c/2 with respect to the ground. A ball is thrown from the back to the front, at speed c/3 with respect to the train. How much time does this take, and what...
-
Assignment 1 1. Write a program to implement the following formula for a -10 and b = 4; result = (a + 2b - 4ab)^4 // ^4 means to the power of 4 (1 mark) 2. Write a program to implement result = sin...
-
I have most of it done, I just need help fixing some things. import java.util.Scanner; public class Main { private String[] database; private Scanner input; public Main() { database = new...
-
Part 2 - WeatherMonitor Suppose you observe daily temperatures and want to know how hot each day is compared to recent days. That is, you want to: keep track of daily temperature values and know for...
Study smarter with the SolutionInn App