Elements Definition and 1000 Threads

Let X = \{1,2,\cdots, p\} with p prime, and Y = \{1,2,\cdots,t,i_1,i_2,\cdots,i_{p - t}\} with 1\leq t\leq p - 1 and i_j\not\in X for 1\leq j\leq p - t. Supose that a and b are both p-rotation in X and Y, respectively. Whether or not p don't divide the order of ab?

I just went down to see my three-week old grand-niece. I have three grand-nephews on my side of the family and at least two on my wife's, she's not sure. This newly discovered particle has the following TOE: There are 4 elements, mommy, daddy, food, and sleep. Then there is the quintessential...

*This isn't actually coursework but i was under the assumption that questions go to this forum* Homework Statement Hi, for while I've been under the impression that spectral lines of all the elements can be calculated. I did some research and found that there is a simple equation (Rydberg...

Homework Statement Find the inverse for each element in the group {1, 9, 16, 22, 29, 53, 74, 79, 81}, which is under modulo91 Homework Equations The Attempt at a Solution From notes (again): 1 = 1 9 = 81 16 = 74 22 = 29 53 = 79 How were these numbers found? Sorry for so...

How do I go about showing A_4 \not\cong S_4 So far the only argument I've been able to come up with is that the order of the elements of the two groups differ. Is this sufficient to conclude the two groups aren't isomorphic - it just doesn't seem that rigorous to me.

Whats the best method for this? Just removing electrons, how long will the ionized state last, and can I do it in a makeshift kind of way with household/cheap parts?

hi all, here's an interesting problem I've been working on in MATLAB. any help would be appreciated. i have four column vectors of length ~11000 (table1): in1 in2 out1 out2 11 4 101 47 1 8 111 9 38 1 1 39 ... i also have a matrix with dimensions 111x111 (matrix1): c1 c2...

Homework Statement There is no real problem, so I'll just make up a arbitrary one. A series RLC circuit with a voltage source x(t), but say there is a resistor in parallel with the capacitor, followed by an inductor in parallel with that resistor. Just assume all the values of the inductors...

I'm thinking about getting this book. I'm a physics major, and I think the only analysis course I'm required to take later as a prerequisite for graduate courses is Introduction to Complex Analysis. So far, I've taken Cal I-III and Linear Algebra. Differential Equations will probably be in the...

Hello I have a question if anyone know the answer I appreiatete it, the question is that when doing FEM for a frame in just 4 elements is more correct to solve it by using stiffness matrix and spread sheets or by using ProE is more correct answer can be found, please can you explain it for me...

Folks, this is my first thread in this forum. I'm writing my PhD about HTR-Fuel Elements. I'm not quite sure if anyone in this forum knows about this sort of fuel which is totally different to "normal" fuel. Anyway, I'm looking for informations about research in the US (or global) what...

the asymptotic lower bound for sorting n elements is n*log(n). what about sorting a set of n elements when you know that they only take on k distinct values? does n*log(k) sound right?

"Let f is a polynomial from k[x,y], where k is a field. Suppose that x appears in f with positive degree. We view f as an element of k(y)[x], that is polynomial in x whose coefficients are rational functions of y." I think I am missing something...why do we need rational functions here? can't...

http://img525.imageshack.us/img525/2290/84419342em1.th.gif in case A: S has a bigger electonegative energy then Ca so it will "take" 2 electrons from Ca inorder to be a complete gas like (Ar) so i know why there is +2 on Ca and -2 on S . Ca has after perfect gas 4S^2 S...

This is from Hartle's GR book, in one of the first chapters it talks about diff geom, nothing too advanced, but I am learning on my own. Homework Statement It's part E I have trouble with. Read e. and skip to last para if you want. Consider this coordinate transformation: x=uv ...

I have been having a very difficult time grasping the concept of voltage drops across resistive elements. In a series configuration...How is it that the greater the value of the resistor, the greater the voltage drop across that resistor? Why does voltage distribute itself that way, in...

FEM -- mesh generator, transition elements Hello, I would like to implement 2D mesh generator. Mesh should consists of triangle and rectangle elements and those triangle elements will play a role of transition elements. The example of such mesh is here: http://pkow.pl/transition_element.jpg...

Hi! In my work I use the WE theorem to evaluate matrix elements. F being the total spin and m the projection onto the z-axis, I am using: <JIFm|r_(-q)|J'IF'm'>=(-1)^(F'+m'-m)<Fm1q|F'm'>sqrt(2F+1)sixj(F, F', 1:J',J,I)<J'||r||J> I have a problem with the (-1)^ part which I suspect to be...

for those of you who've done it, how long does it take to read it? all 13 books.

Homework Statement A circuit contains only two of the three elements L,C ,R. When connected to a 120 V , 60 HZ ac generator, the current of 6.4 A lags the voltage by 30o. What are the two elements and their values? Homework Equations The Attempt at a...

state whether the following statements are ture or false. give reason for that, 1. any finite group has an even number of elements. 2. there exists a field containing exactly 4 elements. 3. the dimension of a finite dimensional vector space is dividible by the dimension of any subspace.

Homework Statement Compute the direct sum Z_12 (+) U(10) Z_24 is the group Z under addition modulo 12 U(10) is the group Z under multiplication modulo 10 The Attempt at a Solution I have computed direct sums of Z_n groups before: For example: Z_2 (+) Z_3 =...

I want to make a heated steering wheel for my car using hand warmers from a snowmobile. The power source is 12 VDC and the resistance is 10.0 ohms using 25 watts on the low setting and 19.6 ohms using 35 watts on high. That is for one handwarmer, I figure I will need about 20 of them. Will...

[b] Show that any group of even order has at least an element of order 2 Homework Equations [b]3. I know that the order of a groups tells you how many elements the group consist, but just randomly assuming that it has at least an order of 2 is what I can't really understand. For example...

If a question asks me to prove something about the elements of a set, say {0,1,a,b}, then is it assumed that all elements are distinct? Because I am attempting a proof, but the only way to prove the proposition is if all elements are distinct. However, it doesn't say in the original question...

We did a chemistry experiment were we burned different metal chlorides on the bunsen to observe the different flame colors produced. Anyhow I'm writing up the report but there's one thing I'm not sure about. I can't make any mistakes because I made the mistake of displaying way too much...

I'm looking to show that: Order (ab(a^-1)) = Order b So far... Let x be order of ab(a^-1), so we have: e = (ab(a^-1)^x) = (a^x)(b^x)(a^(x-1)) = (a^x)(b^x)((a^-1)^x) so by associativity we have... = (a^x)((a^-1)^x)(b^x) = (((a)(a^-1))^x)(b^x) = (e^x)(b^x) = b^x Hence...

Homework Statement I need to find a group with twelve elements that is noncommutative. Homework Equations The Attempt at a Solution I was considering a group G of the integers (-5,-4,-3,-2-,-1,0,1,2,3,4,5) with respect to subtraction. Subtraction is associative/noncommutative...

Homework Statement I am an amateur researching elementary particles; on tabulating atoms the elements, atoms of the highlighted elements in the diagram below formed one group (of two possible groups); I should like to know if there is anything unique to the highlighted elements...

Homework Statement Let G be a group and let g be an element G such that |g| = mn, where gcd(m, n) = 1. Show that there are unique elements a, b in G such that g = ab = ba and |a| = m and |b| = n. The attempt at a solution Since gcd(m, n) = 1, there are integers s and t such that ms + nt =...

I'm having a difficult time figuring out how to find length and area elements for Gauss's, Ampere's, and Biot-Savart Laws! Can someone please help explain! This applies to symmetrical, non-symmetrical, and infinite objects! I'm not asking what is the area of a sphere but, say with an infinite...

I am trying to debug a SUPG FEM code for flow problems (based on Brooks Hughes 1982) and have a question about the Lumped Mass Matrix. My understanding of the Lumped Mass Matrix is that for any given element the mass of that element is simply distributed evenly over the number of nodes. In...

Homework Statement (From an exercise-section in a chapter on Lagrange's theorem:) Let G be a finite abelian group and let m be the least common multiple of the order of its elements. Prove that G contains an element of order m. The Attempt at a Solution We have x^m = e for all x in G. By...

Given a group, it seems everything (all properties) about the group can be determined by how elements multiply with each other. Correct? For example, everything about the group could be read off from the multiplication table.

Hi, I am looking for a certain operation that makes a 1 tensor from a 2 tensor by filtering out only the diagonal elements. For instance, (f1g1 f1g2 f1g3) (f2g1 f2g2 f2g3) (f3g1 f3g2 f3g3) becomes (f1g1) (f2g2) (f3g3) after a certain...

Abelian group w/ 1000 elements? My guess is... Z mod 100 under addition. I am new to algebra though...any thoughts? Also, what about multiplication?

Got a question about fissionable (as opposed to fissile) elements. I vaguely remember the minimum A number for (theoretically) fissionable elements is somewhere in the vicinity of 153 to 156. But I don't recall the exact figure, neither google nor ask.com have been of help and I'd like...

Lets say i have some number 'N' of numbers - in a particular order. I then remove some fraction 'F' of those numbers. I want to know the probability of there being (some number) 'Y' consecutive initial-numbers remaining. Any ideas? Would it just be F^Y ?

I'm quite confused what order of elements consists of. I understand that the order of an element g in a group G is the smallest positive integer n such that g^n = e. And I also understand that to find the order of a group element g, you compute the sequence of products g, g^2, g^3,… until you...

Homework Statement The dihedral group D2n has elements e, x, x2, ..., xn-1, y, xy, x2y, ..., xn-1y and relations xn=e, y2=e (where e is identity) and yx=xn-1y (a) Show that D2n={ elements listed above} i.e. show that these elements are distinct (b) Show that xy=yxn-1 (c) Is there an...

Potassium reacts with Chlorine to produce the ionic solid potassium chloride (KCl). Which elements would you predict would react with Iodine in a similar type of reaction? I know that K has a +1 charge and Cl has a -1 charge. Iodine has a -1 charge and all the elements in column 1A have a...

How can I assign polarities for electric elements , say resistors.. You can explain on this circuit

Why there are much more metallic elements in the world than the non-metalllic one? We can see on the periodic table most of the elements are metallic but why? is there any relevance to the electronic configuration? I can't find any helpful web-site to solve this problem.Please give me some...

Homework Statement I desperately need help, cause I cannot find anything about hermite cubic elements and I need to make fortran program who solves this equation with hermite cubic elements: please explain to me how to solve this equation need answer fast for semestral signature...

Where could I find the spectra of most elements on line? I would expecially the He 2 spectrum, the Be and the B ones. Where could I find it?

I'm trying to figure out how to prove the following... If a, b \in G where G is a group, then the order of bab^{-1} equals the order of a. I'm rather stumped because the group is not necessarily abelian and it seems like it would have to be in order to directly show that you can rearrange...

Does anyone knows some good finite elements routines in 2D?

is there a better way to chart elements? surely chemicals characteristics don't behave by atomic number

I was looking at the values for the Van der Waals radius on various elements in wikipedia and noticed that Molybdenum does not have one. I searched a bit and found this site http://www.webelements.com/periodicity/van_der_waals_radius/ which lists the elements that have a Van der Waals...

A general question. A unit element is one that has it's multiplicative inverse in the ring. An element p is prime if whenever p=ab then either a or b is a unit element. Can a prime be a unit element? The answer is, i think, no but thus far I've been unable to find a contradiction.