I'm just wondering
im going into 2nd year. ..I'm taking Analysis I, Differential Equations Calc III ,Probability all in the same semester and then Abstract Alg I , Linear Alg II , calc IV in 2nd semester
Just wondering what I can expect for the differnet years...how much more intense it is
I was aware that this theory can be solved exactly and is trivial, i.e. there is no dynamics. I was also convinced that this result is due to 't Hooft. Could you confirm this view and put out some relevant refs about?
Thanks beforehand.
Jon
Homework Statement
Determine the inverse of the exponential regression equation that you foun in the first bullet.
Homework Equations
y=ab^x
The Attempt at a Solution
in the first bullet i got the equation
y= (8.7166)(0.93240)^x
then i found using logs that x = -5...
I would like the perspective of either a physicist or a mathemtician. Please indicate which you are before posting.
When learning mathematics, is it better to follow a strictly rigorous approach? By this I mean such things as being exposed to Calculus via Spivak, Complex variables by...
Ok, I have a few questions here, so hopefully everyone will help me find an answer to these.
1. Firstly, I have just finished my second semester of calculus 2, and am now in the process of teaching myself a semesters worth of multi variable/ intro vector calculus, however, I noticed that we...
We know what is twin paradox is, and also why it is not a paradox, but my question is, "if we can not define absolute motion, how can we decide that the twin which went to space will age less, and not the home one?"
That is to say that, when peter at home sees paul's clock moving slow (in...
Homework Statement
I need to find the temperature coefficient of resistivity \alpha for silicon at the temperature of T=300 Kelvin. I am supposed to assume that \tau, the mean time between collisions of charge carriers, is independent of temperature.
Homework Equations
Temperature...
Hi,
One can describe a pure qubit in two ways (onto the bloch-sphere): 1.) one take a (\alpha,\beta) , where \alpha,\beta are complex numbers and \left|\alpha\right|^{2}+\left|\beta\right|^{2}=1. 2.) with a real 3-dimensional unit vector.
Bob wants that Alice generate one million random...
I don't have any problems dealing with mechanical calculations(I think), but yet I have some conceptual problems with mixed state(= statistical mixture?) and pure state in QM.
- pure state : |Φ> = 1/sqrt2 ( |↑> + |↓> )
- mixed state : ρ = 1/2 ( |↑><↑| + |↑><↑| )
What is the difference...
helo this is a homework problem i got in math 30 pure
i got an answer but i would like to know how to get it by using a formula?
The exercise gose like this:
Initially, a pendulum swings through an arc of 2feet. On each successive swing,the length of the arc is 0.9 of the previous length...
Homework Statement
For any Pure Substance, use the relation (1) to show that for a Van der Waals gas, over a range of conditions where c_{v} is effectively constant, that equation (2) gives equations (3) and (4)Homework Equations
(1) ~ Tds = du + pdv
(2) ~ c_{v}dT + T \frac{\partial...
Homework Statement
I'm wondering if the bessel functions are pure real. What I really want to know is that if the bessel funtions are J and Y (i.e. first and second kinds), and the Hankel functions are
H_1=J+iY and H_2=J-iY, then can we say that
H_1=H_{2}^{*} where the * denotes complex...
Hello,
suppose we have a sinusoidal AC source connected to only a pure inductor of self inductance L ( no resistance at all ) ..then emf induced in the inductor is L * dI/dt and is equal and opposite to the applied emf. but if the induced emf opposes the applied emf , then how can there be a...
Can anyone help me find compression test data for pure titanium? I need the stresses from 2% to 10% strain. If you can't get the actual data, a graph would be fine as well. Thanks.
As someone who's interested in the history/ideas of mathematics I'm attracted towards the pure track but I'm also attracted to the job prospects of applied math.
Are my impressions wrong? Can one find employment with either concentration, or is the applied track superior in that regard?
Dear Alls,
I need your advice regarding my experiment in producing the High Voltage Zero Current, Pure Electrostatic device.
The Input Power/Voltage: 5 Watt/220 Volt
The Output Voltage shall be 20.000 Volt
The Output Current shall be 0 Micro Ampere.
Please assist me in step by step...
Let's say you're getting 80-90 in the lowest class for math in high school Is there anyway for you to get into Math pure?
Oh and another question, let's say a person who got a lower grade then you in Math got into Math pure. Can schools really do that?
I always get the impression that pure maths is more superior meaning harder, grander than applied maths and that the smart people on average go into pure maths. Is this a misconception?
Also rarely is it that applied mathematicians switch into pure maths but the vice versa is plentiful.
I do...
Hi.
I have to write a paper (about 20-25 pages) and I'm likely going to choose the topic 'The Unreasonable Effectiveness of Pure Mathematics' as was suggested by one my prof's (of course, I'm familiar with Eugene Wigner's article). I was curious if anyone could point me towards more modern...
Hi,
Lately I've been having second thoughts about whether I want to pursue a career in engineering or a career in math and physics and end up doing research. So here are three questions which i'd like being answered :)
1. Let's say I get a B.Sc in Mathematics and Physics, will I then be...
Homework Statement
Consider a nebula of pure hydrogen which is completely ionized and in steady-state (# ionizations/sec = # recombinations/sec) at a constant temperature and density. Suppose the source of the ionizing radiation suddenly “turns off”. Find and graph the electron density as a...
Hello,
I just read about the the ten most beautiful experiments of all times.
The top winner was the double slit diffraction by electrons experience carried out by Claus Jönsson .
This electron diffraction experiment, I think, has been chosen as remarquable because it stages the...
Homework Statement
Hello:
The question is this: To show that a simple shear is equivalent to a pure shear if tan(\alpha)=k-1/k.
Homework Equations
The simple shear is given by (ytan(\alpha),0) and the pure shear is (x(k-1), y(1/k-1))
The Attempt at a Solution
I thought...
Hey.
I am going to apply to university for next year very soon. At the moment my plan is to apply for a bachelor of engineering (chemical). I was just thinking though, i really like maths, so id like to do a double degree--the engineering, as well as a BSc majoring in pure math (maybe applied...
when we say that in pure rolling the speed of the point of contact is 0 do we really mean it's just absolutely 0 or is it negligible.this may seem strange...
but if it's 0 then why does that point ever move.if it ever moves then it's speed is no more 0 ...
For the last several months I've been trying to locate sulfur in bulk so I can try out something called sulfur casting (lost-wax casting using liquid sulfur instead of molten metal). All I've been able to find is five pound bags of something called soil or garden sulfur at nurseries and home...
I have recently switched from Eng Phys to Math and Phys (double honours) with minor in Comp Sc. to start in the next semester, my 2nd year. I can imagine how anyone could mention that I threw most of my chances for a normal, based on employement life. What can I say? I just couldn't help it:-p...
Results just came in. I did 2 pure maths, metric spaces 51% & algebra 59%, Partial differential equations 79% and 2 advanced theoretical physics, QM 71% & Stat mech 74% all at the third year level. The scores are exam scores.
I like pure maths but find them hard. I usually have trouble doing...
In the crystallization process after gravity filtration is carried out, a mixture of ice and water is sometimes used as a bath instead of just ice. I know that the ice/water bath can be used to cool the filtrate to around 0 C while just crushed ice or an ice-salt bath may cool the filtrate to...
How would you compare applied and pure mathematics? Is one more difficult than the other? What is the general difference? What do you think is the most interesting field of those two? Can someone who is bad at using applied math, be more capable of pure math and vice versa?
("Theoretical"...
Which undergraduate pure maths subject do people find the most challenging?
I thought I might just list the three major areas, analysis, algebra, topology.
Homework Statement
Prove that for every k >= 2 there exists a number with precisely k divisors.
I know the solution, but don't fully understand it, here it is;
Consider any prime p. Let n = p^(k-1). An integer divides n if and only if it has the form p^i where 0<= i <= (k-1). There...
I want to know how one purchases pure elements. Like Caesium or Neon or Chlorine.
Do you need license to purchase some elements? Or do you need to be affiliated to some sort of organization?
Where is a site that has prices for the elements?
Just curious how one gets a hold of these...
Hello everyone,
I'm an EE undergraduate and I'm specializing in Signals and Systems. I'm also minoring in pure math.
So, in the fall I have to begin a 3-quarter sequence in one of the following math subjects:
Abstract Algebra
Real Analysis
Probability
Each of these subjects...
Opinions on this "Pure Math/Finance" Program
I know that most people on these boards are more familiar with physics and engineering-type programs, but who knows...
http://www.math.uwaterloo.ca/PM_Dept/Undergrad/Academic/Plans/pm_finance.shtml"
Does this program seem like one that'll have...
Suppose a solid disk of radius R is given an angular speed about an axis through its center and then lowered to a horizontal surface and released, the coefficient of friction between disk and surface is u. What is the distance traveled before pure rolling occurs?
Conservation of Momentum...
For those of you who don't know, "Formulas and Theorems" is basically a compilation of thousands of math theorems, 6000+ formulas, with a summary of their proofs, covering most of what was known in the late 18th century.
What I'm looking for is a comprehensive reference book with worked...
Can you give me a nonselfish reason to study pure mathematics? How does one justify spending an entire life pushing around symbols and definitions which may have no connection to the physical world? I enjoy doing math, but I also enjoy playing chess and minesweeper, and even if someone were to...
I know Berkeley has a slight edge in the "prestige" factor, but is this edge well-earned? Is there a significant difference in the quality of instruction and opportunities for research at these two institutions, particularly in the pure math department? Is there much difference in the...
Is it true in general that if someone who does not show any talent in maths during school (i.e. performs average in maths competitions and tests) will not succeed in pure maths research if that person chooses to do so? Hence that person is not likely to become a professor if he/she chooses to be...
Homework Statement
Hey everyone. I was practicing some problems, and I came across one that seems pretty simple, yet I am having difficulty proving the answer. The question asks us to show that a state of pure shear causes no volume change in linear elastic deformation. I have a very good...
I am interested to know everyones thought's about the role of computers in pure mathematics.
What is the distinction between computer science and mathematics?
"Computer science is no more about computers then astronomy is about telescopes."
How would one acquire an isotopically pure sample of an element? Are some available for direct purchase, or would it have to be done in-house with some sort of large centrifuge apparatus? (Im thinking about transition metals, not actinides)
pure math in astronomy-astrophysics.Suggestions needed
Hello,
I am an undergraduate student of mathematics, and I'm interested in
astrophysics-in a level of watching documentaries (no scientific knowledge).
I want to have graduate studies, I like the idea of astronomy-astrophysics
(even...
The gold nucleus has an atomic mass of 197 with 79 protons and 118N and 79 electrons.
The top quark has about the same mass, but no internal structure. It's just a particle with pure mass.
Why would a structure of pure mass and nothing internal decay?