Self Definition and 561 Threads

Homework Statement Find an operator T on F^2 such that <T(v),v> is greater than or equal to 0 for all v in F^2, but T is not self-adjoint Homework Equations The Attempt at a Solution I am trying to to find examples where <T(v),v>=0 where the operator is not 0

I study physics and i find math very interesting. I'm using Michael Spivak's "Calculus" and i think it's really good book. Spivak's book is great sample of book that i desire - it's for mathematicians, not for physicist, but you can understand it even if your not a mathematician. And it...

I am resuming my education after a two year break (due to a career change). I am a little confused as to how to handle my current situation regarding math. When I left school two years ago, I was ready for calculus having completed college algebra and trigonometry. Since then, my algebra...

I've noticed that I learn at an exponentially greater rate my own way than I do by attending lectures in university is this the same for everyone? I'm in a first year course and besides the labs which are compulsory my subjects are biology, chemistry, physics and maths and I have a big book for...

I'm looking to find a cheap and short intro to the minimum knowledge of Classical Mechanics(Hamilton/Lagrange formulations) you need to know to understand properly Quantum Mechanics. Any recommendations? I'm not worried about it being too rigorous or in depth since I will take a full class in...

Hi everyone, I remember reading there is a theoretical argument that said its absolutely impossible for systems of charged particles (plasma) to cobble together without external field. But I don't remember the name of the theorem. Can anyone name it? Or even better point me to some nice...

I've 2 more classes to go to finish my degree in applied math with a minor in physics. I am retired so will have plenty of time to devote to the study of quantum mechanics. I want to start building the necessary library now. I could use some good solid suggestions. I have an older copy of...

URGENT!: Self and mutual inductance Homework Statement 1http://img20.imageshack.us/img20/8531/asdasdasv.png a) Calculate L1, L2 and M for the coils in the following toroid (using thin toroid condition), the induced EMF in the second coil and the polarity. N1 = 500 N2 = 200 I1 = (20 +...

Making Self resonating coils for wireless electricity transfer ! How to do @@ Dear Friends , I would like to make the wireless electricity project as done by MIT team.i am bit confused about how to make the two different coils resonate at the same frequency ?? Please help me... Thanks...

What is the most effective way to learn physics material without the aid of a formal course? Trying to (only) read material really thoroughly and take notes takes a huge amount of concentration, and doesn't seem to have been very effective for me. I think it would be amazing to meet someone...

I'm a chemistry major and recently discovered that I would love to go to grad school for physical chemistry (specifically computational chemistry and biophysical chemistry). Unfortunately I'm in my third year of college and don't have many free classes left. I started teaching myself math...

Is there self reference in Nature? Foundations of The Quantum Logic

I was trying to self study Linear Algebra and I had a copy of Hoffman and Kunze. I found it a bit dry. I searched for some alternatives and I like these: 1) Applied Linear Algebra and Matrix Analysis - Thomas S. Shores (Springer Undergrad math series)...

Cliffs: - ChE & Math double major, currently a junior. - Just got offered a project in ChE department that starts after Thanksgiving. - Project could turn into head start on Thesis, letting me get a masters only a year after my B.S. - Told to learn Sturm-Liouville => Separation of...

Hi Guys, :smile: In case of an Induction Generator (IG) connected to grid, the rotor runs at super synchronous (above synchronous) speed exhibiting -ve slip. This is possible since the grid frequency is fixed at say, 50Hz. However, in case of a Self Excited Induction Generator (SEIG), it...

I would be grateful for some help/tips/with this question. Let (V,<,>) be a complex inner product space with an orthonormal basis {v1,v2,...vn}. Let L:V------>V be a linear operator. Explain what is meant by saying that L is self-adjoint. Let A=a_ij be the matrix representing L with respect...

Hello all, i need one suggestion for shielding of a gamma source. I have a gamma source with initial activity of 50 mCi=1.85X10^9Bq. What thickness of lead needed to protect myself! I used the formula I(x)=I exp(-kx). I=50mCi; k=37.6 cm^2/g (linear attenuation for 122 keV) and x the thickness...

Can anyone explain the following (the capitalized text)? "The ions of the quenching gas reach the cathode before the principal gas ions. When they reach near the cathode, THEY CAPTURE ELECTRONS (secondary?) AND BECOME NEUTRAL MOLECULES. FOLLOWING NEUTRALIZATION, THE EXCESS ENERGY OF THE...

i am having a doubt that when we find a expression for mutual inductance we say that flux change in primary coil induces emf in secondary coil. but why change in flux doesn't induce any current in primary coil also.

http://i27.tinypic.com/23r02mg.jpg I CANT UNDERSTAND FROM WHERE THEY GET THE FORMULA IN THE SOLUTION

http://i26.tinypic.com/250tkyh.jpg the formula for magnetic field is like they show but its not divided by l like they did i can't see a reason why they present it that way ??

M_{12}=\frac{N_2\phi _{12}}{I_1} i need to remmeber it but i can't see the logic of the formula ??

My situation is that I taught myself Calculus 1, 2 and some 3 over the last year, and the better part of Freshman physics for majors, mechanics and EM. I bought 4 texts to learn from: Halliday, Tipler, Giancoli, and Young and Freedman. And I just started learning Diff. Eq. & Linear Algebra...

I have an application which would work very nicely with a rack-and-pinion. The problem is: the environment is inherently very dirty, and covering it isn't an option. Using the usual arrangement would cause it to quickly seize. Does anyone know of a self cleaning rack-and-pinion design?

Suppose U is a finite-dimensional real vector space and T ∈ L(U). Prove that U has a basis consisting of eigenvectors of T if and only if there is an inner product on U that makes T into a self-adjoint operator. The question is, what exactly do they mean by "makes T into a self adjoint...

Homework Statement Suppose V is a complex inner-product space and T ∈ L(V) is a normal operator such that T9 = T8. Prove that T is self-adjoint and T2 = T.Homework Equations The Attempt at a Solution Consider T9=T8. Now "factor out" T7 on both sides to get T7T2 =TT7. Now we represent T as a...

Homework Statement Prove that there does not exist a self-adjoint operator T ∈ L(R3) such that T(1, 2, 3) = (0, 0, 0) and T(2, 5, 7) = (2, 5, 7). Homework Equations The Attempt at a Solution I'm having trouble seeing that there is an actual operator, self adjoint or not, that can do...

Homework Statement Suppose P ∈ L(V) is such that P2 = P. Prove that P is an orthogonal projection if and only if P is self-adjoint.Homework Equations The Attempt at a Solution Let v be a vector in V. Let w be a vector in W and u be a vector in U and let U and W be subspaces of V where dim W+dim...

Homework Statement Prove or give a counterexample: the product of any two selfadjoint operators on a finite-dimensional inner-product space is self-adjoint.Homework Equations The Attempt at a Solution I'd say that if we let a diagonal matrix represent T (after all, its transpose representing...

I've been trying to start teaching myself Calculus recently out of interest and the amount of useful info on PF is awesome but I can't seem to find a good way to actually start it off. As far as books are concerned, it seems that Stewart's is the standard but supposedly it's too watered down...

How does CMBR differ from ether (SR self study -- Question from W. Rindler) Hello everyone First of all, apologies for a previous post which was against forum rules. I was unaware that I had violated the rules by posting a link to a paper that wasn't from a proper peer-reviewed scientific...

what does self consistent solution mean in for example Kohn-sham equations?

Well the question goes like this.. An Inductor is connected to a battery through a switch. Why the induced emf in the inductor is much larger when switch is opened as compared to when the switch is closed.

Hello, I'm about to be a high school senior next year, and I want to study Calculus on my own. I have a strong base in mathematics, and I'm self motivated. I am currently learning the basics of calculus from a book called "The Complete Idiot's Guide to Calculus", and I'll be done with it in a...

I'm a second year Indian medical student, and I've been interested in physics all my life, but didn't pursue a career because a) I'm a little slow in math and b) come on, I'm Indian, I have to be a doctor. I want to go into radiology, specifically nuclear medicine...

Hello all, Let me first say, "Hello PF." This is what I'm trying to decide: I'd like to spend this summer by self studying a range of topics. The problem is, I really don't know what I should study as I honestly have no clue what I want to do in college, etc. I started working through two...

How, or why is it we can assert individually "I exist"? Descartes considered this problem wasn't answerable or perhaps didn't understand it like we (think we) do now. Can an individual assert "I am, therefore, I think"? Who asserts thought, in that case, or where do thoughts occur and why? We...

Hey guys, As a hobby I've decided to pick up EE and I've been reading quite a bit and I'm interested in building some basic circuits and determining the SRF in some coils that I've wound. I have found that you can calculate SRF using this formula: ......(1/5) ...29.85 x (H/D) F =...

Can anyone explain this "self healing" mystery. Can anyone think of any type of failure mode in an electronic component that could account for the following weird case of my self healing LCD monitor. ---------------------------------------- I've got this LCD monitor that's got a weird...

Recently, I seem to have been stricken by a learning bug. I have just been craving knowledge of all sorts. I currently am not in college, and it has been several years since I took a math class. I had Intro to Astronomy last semester, and that was pretty decent. However, I currently am wanting...

Hey, I am currently planning on majoring in chemistry, but I am obsessed with physics as well. The school I plan on going to only offers physics as a minor degree, and I can think of many more practical things that I would want to do with chemistry than physics. Still, I like physics more, just...

I want to read all your theories on the self/personal identity, and what makes it. I think all properties of the self are corporeal. Possible points to discuss: -Subjectivity -Continuity -Memory Post away! (Perhaps this belongs in the Philosophy Forum)Some interesting reads on this topic...

ok, so i have a physics project. we were assigned to use a mouse trap tied to the axle by a string to propel a homemade car of sorts. but he says we can use and propulsion system as long as it doesn't use combustion or electricity. i don't want to use a mouse trap and I'm looking for other...

ok, so i have a physics project. we were assigned to use a mouse trap tied to the axle by a string to propel a homemade car of sorts. but he says we can use and propulsion system as long as it doesn't use combustion or electricity. i don't want to use a mouse trap and I'm looking for other...

I would like to know the best way to go about learning Quantum Physics. I have read a little here and there over the years, and it is a subject that greatly interests me. I have never had the motivation until recently to put some effort into learn more about it. If anyone out there can give me a...

Open question, respond with your style.

Ok, so I've been obsessed with the wackyness of quantum mechanics for years and I can't tell you how much i want to learn the math and the equations like the dirac notation and the shroedinger equation, spin and angular momentum...all of it. As a senior in high school I am going to start...

can electron energy levels just be considered the self capacitance of an atom?

Homework Statement Give a definition of (self) inductance. Suppose a battery, which supplies a constant EMF ϵ_0 is connected to a circuit of resistance R and inductance L at t = 0. Find an expression for the current as a function of time. Homework Equations V = IR V =...

with a strong foundation in algebra (1&2), would i be able to get a calculus book, read through it and begin to understand the concepts? ill be in precalculus this spring, but the curriculum at my institution isn't that complex. some trig and algebraic gymnastics. i was actually able to do my...