Elements Definition and 1000 Threads

[b]1. Homework Statement [/b Some elements having exceptional electronic configuration have 2 shells having e not completely filled. Like Rh has configuration 4s2 4p6 4d8 5s2 now when we study how atoms combine we consider only the outermost shell because it is the only one not filled...

Anyone have a list of man made (replicated) elements?

#include <iostream> using namespace std; int a; int main() { cin >> a; int c [a]; for (int i = 1;i!=a+1;i++) { c [i] = i; } for (int i = 1;i!=a+1;i++) { cout << c [i] << endl; } return 0; } This compiles and does exactly what it's supposed to. But wait...

Homework Statement You are a pilot on an F-16, waiting on a still aircraft carrier. You must fly to another aircraft carrier 1450 at 45* from your position, moving at 56 km/h due east. The wind is blowing from the south (To the north) at 72 km/h. Calculate the heading and air speed needed to...

Hi all, New to the forum - first post. I've wondered for a while how all the elements were able to be created given the timeline of the universe. If the solar system is ~5billion years old and the universe is 14 billion years old that means that all of the elements of the solar system...

f:R->S is a homomorphism of rings,such that kernel of f has 4 elements and the image of f has 16.How many elements has R? 16=|Im ( f )|=|R/ker f|=|R|/|ker f|=|R|/4=>|R|=4*16=64

Something similar to this came up in a lecture but it wasn't explained very well. From wikipedia it seems that our sun is made up of 74.9% Hydrogen and 23.8% Helium. The final 1.3% is made up of heavier elements such as oxygen, carbon, neon, and iron. If the the entire solar system condensed...

So I have a UT130 Temperature Controller turning on and off a heater element through a SSR relay to maintain the temperature of water at a constant temperature. But the problem is that the temperature will still fluctuate making the relay go on and off continuously. I need the water to stay at...

Homework Statement Let R be a ring with multiplicative identity. Let u \in R be a unit and let a1, ..., ak be nilpotent elements that commute with each other and with u. To show: u + a1 + ... + ak is a unit. The Attempt at a Solution Need to show that u'(u + a1 + ... + ak)=1 for some u'...

Dear all, I'm facing a problem in performing incomplete Cholesky decomposition of sparse matrices. I use the algorithm which avoids talking square roots, given in here: http://en.wikipedia.org/wiki/Cholesky_decomposition and apply it to sparse matrices by just skipping the zeros ( no...

Homework Statement 1_R=identity in the ring R. /=...not equal Having some issues with this any help will be great: Let R be a ring with identity, such that x^2 = 1_R for all 0_R /= x ,where x belongs to R. How many elements are in R? Homework Equations The Attempt at a Solution...

I'm working on an online EECS course, and to be frank some of it is going straight over my head - but at the same time parts of it are far below my current knowledge, so I want to work and stick with it. The speaker is working through proving current and voltage - to arrive at Kirchoff's...

Is there a name for the concept of trying to find the minimum number of elements from one set of integers that will sum to all elements in another set? Like, for example, with the Pythagorean Theorem, this would be to find the minimum number of elements from the set of all squared integers that...

Homework Statement I'm trying to figure out how to insert elements into a 2-3 tree, based on the tree shown in this image: http://imageshack.us/photo/my-images/851/btreeexercise.gif/ The two elements I need to insert at 197 and 52. 2. The attempt at a solution I'm fairly confident...

1_R=identity in the ring R. /=...not equal Having some issues with this any help will be great: Let R be a ring with identity, such that x_2 = 1_R for all 0_R /= x ,where x belongs to R. How many elements are in R? Thanks

Hello everyone, I'm having some trouble, that I was hoping someone here could assist me with. I do hope that I have started the topic in an appropriate subforum - please redirect me otherwise. Specifically, I'm having a hard time understanding the matrix elements of the density matrix...

Lead AN 82 and gold AN 79 are fairly close to one an other on the Periodic Table - so maybe the alchemists of the middle ages were on to something. In fact it was already done: There are reports that Glenn Seaborg, 1951 Nobel Laureate in Chemistry, succeeded in transmuting a minute quantity of...

say you are multiplying integers from 1 to 1000 and you want to count the number of "unique" elements. How would you do that? Is there a closed form expression for that? counting the unique or non-unique elements is the same since we know the total number of elements and can get the unique or...

As an exercise in cosmology-fiction (I actually got curious about this from an actual cosmology textbook problem), taking into account the stellar nuclear reactions that involve the fusion of hydrogen into helium, what would (roughly) be the proportion (in mass) between Hydrogen and He-4 in a...

Homework Statement Let x and y be irrational numbers such that x-y is also irrational. Let A={x+r|r is in Q} and B={y+r|r is in Q} Prove that the sets A and B have no elements in common. Homework Equations The Attempt at a Solution Since x and y are in A and B, then...

Homework Statement G is an abelian group with H the subgroup of elements of G with finite order. Prove that every non-identity element in G/H has infinite order. Homework Equations The Attempt at a Solution Suppose gH in G/H has order n. Then (gH)n = gnH so gn is in H. Then there is some m > 0...

The group in question is U100, the group of units modulo 100, which, correct me if I'm wrong, is equal to {3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, 99}. How many elements are there of...

How are rare Earth elements and minerals extracted from nuclear waste? And I know that some people are saying that there is a low supply of rare Earth elements needed in high tech manufacturing, could that shortage be solved by extracting these rare elements from nuclear waste?

Hi, ive been studying formation of solar system and couldn't find an explanation for why the sun didn't absorb heavy elements from early solar system? why they remained around the sun and formed planets and not get absorbed to the centre? thanks in advance

Homework Statement Find the product of each reaction Homework Equations Butanal (http://www.chemspider.com/Chemical-Structure.256.html?rid=e530204e-5d67-41a8-88e9-fc8e0ffcf41b), reacted first with bromobenzene...

Can a group, G, have repeating elements? And if so does the order of G include these repeated elements? Thanks!

I search for an 'elementary' proof of this, where results about structure of abelian groups are not used. I've tried a standard way of proving this, but hit a wall. I'm mainly interested if my work on a proof can be expanded to a full solution. Homework Statement Let G be an abelian group...

Say we have a matrix P with eigenvalues \lambda_1, \cdots, \lambda_n (possibly some are the same) and P can be diagonalized, then we can always say that the element on the a'th row and b'th column of P^n is equal to P^n(a,b) = \sum_{i = 1}^n \alpha_i \lambda_i^n with \alpha_i independent of n...

Homework Statement http://img267.imageshack.us/img267/8924/screenshot20120118at121.png The Attempt at a SolutionWe have that X = A + B. To show that X is unique, let two such sums be denoted by X1 X2 such that X1 ≠ X2. We write, X1 = A + B X2 = A + B The equations imply, X1 - A - B = 0 X2...

I have a quick question. I've been trying to search for an answer, but I'm probably looking in the wrong places. Is it valid to have negative off-diagonal elements in a density matrix? Thanks!

I'm working with universal enveloping algebras, specifically U(sl(2)). Does anybody know of a nice way of determining what the group like elements are. Of course, one could go a direct route and compare the coproduct Δ(v), v\in U(sl(2)), directly with the desired outcome v\otimesv, but the...

I have a piece of code which near its end needs to do the following task: Given a vector V=(log(A),log(B),log(C)) that has been previously generated[I've used 'log' as opposed to ln here because the 'log' function in MATLAB is the natural logarithm], I need to find sum(A,B,C). NOT...

Homework Statement https://photos-1.dropbox.com/pi/xl/rLbkcUie-3Lbcrb5YgTa73zJKs4agFowWz6uGFoBq7s/38240/1324436400/1241536/ the image seems to be broken, so here is a link http://db.tt/fMwm8TrL I recently picked up a future textbook of mine for something to do over the holidays...

Is it possible to extract the diagonal elements of a matrix into a vector?? Is it possible to extract the diagonal elements of a matrix into a vector USING ONLY MATRIX MULTIPLICATION? So no element by element multiplication, and no diag commands. (This will eventually be implemented in...

Homework Statement How many elements of order 4 are in S6? (symmetric group with order 6) Homework Equations The Attempt at a Solution So, the different forms of elements with order 4 in S6 are (abcd)(ef), (abcd) from there I am sunk on how to calculate. I know there are...

Homework Statement Prove that if a,b,c are elements of a field. than a+b = a+c implies b=c Homework Equations a + (-a) = 0 0 + a = a The Attempt at a Solution The solution i found is: a+b = a+c a+b+(-a) = a+c+(-a) 0+b = 0+c b=c what I'm not...

Homework Statement What subgroup is generated by the fixed-point-free permutations? Homework Equations The Attempt at a Solution I know that the elements that have no fixed points are the ones whose cycle type adds up to n (i.e. all the numbers in {1,...,n} have to be used). I don't know what...

I would very much like some help to the following problem. Homework Statement Using mathematical induction, prove that a finite set A of n elements has n(n-1)/2 subsets of two elements. The Attempt at a Solution * Base step n=2: 2(2-1)/2= 1 subset of two elements. * Inductive step: assuming...

HI I don't understand why cadium or other elements have different zeeman effect because of their electron configiration thanks

If a group G is non abelian and a and b in G have orders |a|= n and |b|= m, is there a correlation we can draw between m and n and |ab|?

Q: Given a fraction A/B when does there exist a finite group G and an automorphism f s.t. exactly A/B elements of G are mapped to their own inverses (f(a) = a-1? If so how can we find the group? Does anything change if we allow infinite groups? I have a friend who was preparing for an intro...

Homework Statement It seems to me that every element of Z_45 has order 1, 3, 5, 9, 15, or 45. It seems impossible to have an element of order 2 by Lagrange's Theorem. Is there another way of looking at this problem?

WTS, is that such set is a subgroup. I need to show closure under group operation and inverse. I can do the inverse which is usually the hardest part, but I'm stuck on the grp op. So let a in K and b in K, both have finite distinct conjugates. Their conjugates are in the group too. WTS...

well, I'm thinking to answer the question in a generalized way. I want to find all the elements of Sn that satisfy the equation xn=e. well, if m|n and xm=e then xn=e, hence, if we raise x (which is of order m and m divides n) to the exponent n we'll have xn=e. so the answer will be this: S={all...

So in describing the elements of M2(Z) that have multiplicative inverses, the answer that I keep coming back to is that the only ones are those with determinants of +/- 1, because the determinant would have to be able to divide all elements. I think I've conifrmed this scouring the web, but...

Consider a matrix A(i,j) What I want to do example: A= [1 2 3; 4 5 6; 7 8 9] I want to to display 1 2 3 4 5 6 7 8 9 I will then save it to a file; I know how to do that. But how do I get MATLAB to display the individual elements sequentially? Thank you. *edit* Nevermind figured it out...

Homework Statement Given a set of n elements one after another (1,2,...n) Find the minimum n for which there are about 1000 subsets such that every two subsets will have at least 2 elements not in common Homework Equations The Attempt at a Solution I did this problem for 1 element...

Russell's paradox concerns itself with the set S=\{x|x\notin x\}\;\;\;S\in S ? but it is supposedly solved in ZFC theory. Now, what about the set U=\{y|y\in y\}\;\;\;U\in U ? Is U an element of itself?

Do tuples exist which aren't elements of a cartesian product of sets? Can you just write an ordered list of elements which does not necessarily have to be defined in sets? (or does every tuple need to be defined through sets in order for it to rigourously exist in mathematics?)

This is the quantum part for solving wavefunctions of mulit-electron atoms that need to be approximated by the variation method. Specifically we are supposed to differentiate this equation using the quotient rule : E(c1,c2) = [(c1^2*H11 + 2c1c2H12 + c2^2*H22) / (c1^2*S11 + 2c1c2*S12 +...