Elements Definition and 984 Threads

Hi i need a little help i was given group (Z3 x Z3,+) and i should find order of every elements so the elements are {(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),(2,0),(2,1),( 2,2)} and the order of every element is (0,0) has order 1 (0,1)*3=(0(mod 3),3(mod 3)) = (0,0) order 3 (0,2)*3=(0(mod...

By choosing among the following five options, what is the main source in the universe for the origin of the elements : silicon, lithium, bismuth, nickel and uranium? Primordial nucleosynthesis – fusion in core of low-mass stars – fusion in core of high-mass stars – slow neutron capture in...

By choosing among the following five options, what is the main source in the universe for the origin of the elements : silicon, lithium, bismuth, nickel and uranium? Primordial nucleosynthesis – fusion in core of low-mass stars – fusion in core of high-mass stars – slow neutron capture in...

I have an array of 3 known elements.I know that 2 elements of them have the sum of 100 and I need to find the location of the two elements which have this sum ex. A[3] 5 25 75 the solution for this prob. is second & third location Thanks,

I'm looking for a Real Analysis book to start with, besides Spivak. On Amazon, one of the reviewers said it was good as a subsequent book for learning Functional Analysis/Lebesque Integration, while another said it was a good introduction to Real Analysis. For those of you that have read it...

Homework Statement Prove that for a finite group A, the order of any element in A divides the order of A. Homework Equations The order of an element a of a group A is the smallest positive interger n such that an = 1. The Attempt at a Solution Well, I know that the order of a...

Sample space of rolling a 6 sided die I've just had my first tutorial for an introductory probability class taught by the Econometrics department and I'm having trouble understanding why my solution is wrong. The tutor didn't write up complete solutions(just pictures to help visualise the...

Alright so, I decided to read some Euclid's Elements for my own personal gain (became interested while reading Stewart's Precal, and I think it might help with Calculus) and I'm stuck on proposition 7, mainly because I really want to understand the reasoning behind it and I just can't seem to...

Hi. The proof that I'm working is in the title. The Defition of "same number as" is given as follows: (1) Two sets S and T are said to have the same nuber of elements if each element of S can be paired with precisely one element of T in such a way that every element of T is paired with precisely...

I have one main program where I have calculated some array, say A(i,j) If I want ot use the values in subroutine, and calculate some more values and give back the result to main program, how my syntax should be? I tried this way. Its not working. program a...

Can there be repeated elements within a group?

Proposition: If every element of G/H has finite order, and every element of H has finite order, then every element of G has finite order. Proof: Let G be a group with normal subgroup H. Suppose that every element of G/H has finite order and that every element of H has finite order. We wish to...

Hi, I haven't taken any set theory course during my studies and this is a query of mine, though to many of you that are familiar with this subject might seem naive. Any suggestions would be useful. Many thanks

Is it necessary to know the proofs of all the propositions in Euclid's elements? Or one can directly jump to euclidean and precollege geometry, of course he/she will have knowledge of propositions( just the statements and all that) but not the proofs. Reply Quickly.

Homework Statement How many elements are in the set below? {1,2,{3},{4,5},6,{{7}8}} Homework Equations The Attempt at a Solution I heared that the best way is to take of the {} each time. But can somebody tell me the real rules for how to find solutions for this question...

Prove ord(a) = ord (bab-1). Attempt at the proof. Proof: Let G be a group and let a,b ε G. (=>) Suppose ord(a)=n. That is, an=e. We wish to that the ord(bab-1)=n. If we take an=e and multiply on the left by b and on the right by b-1 then, we have, (1) an=e...

Can't you take a proton out of a mercury atom for example so the atomic number can change from 80 to 79 so it can become a gold atom?

Homework Statement I have a matrix that contains zeros but it may contain also ones. For example: ID=[1 0 0 0; 0 0 0 0; 1 0 1 1] I'm trying to replace all the ones by zeros and all the zeros by elements of an array EA going...

Hello again! Let's say that i am calculating every element of a 100X300 table by using equation A I use two for loops (i m doing this in matlab) for i=1:100 for j=1:300 element(i,j)=... (it is the equation A) end end equation A involves the neighboring elements What...

Homework Statement Let V be a vector space and v, w two elements of V. If v+w=O, show that w=-v Homework Equations The Attempt at a Solution This is my attempt: 1. v+w=O 2. v+(-v)=O 3. v+w=v+(-v). Subtracting v from both sides yields: 4. w=-v The solution...

The greatest lower bound and least upper bound of two elements a, b in a lattice do not have to be unique, do they? It could be the case that two equivalent or non-comparable glb or lub exist, right?

is it possible to make a venn diagram wherein the elements are infinite elements? ex. V = { is the set of all odd numbers) W = { 5, 15, 25, 45, 55,...} thanks a lot

Why aren't mixed ratios allowed in Euclid's "Elements"? Why did Euclid forbid the comparing of different kinds of magnitudes? And was it the same for numbers? Or were ratios specifically meant for magnitudes (lines, planes, solids) What are the consequences of comparing 2 different kinds of...

did the heavier elements come from different galaxys? I am a gcse student who is in a bit of a debate with my teacher :)

So Arsenic is poisonous to Oxygen based life forms (Humans). What would be poisonous to a Sulfur based life form (if they exsisted)?

I have to describle the elements of the quotient ring $$\frac{\mathbb{Z}[x]}{2\mathbb{Z}[x]+x^2\mathbb{Z}[x]}$$ do I use the division algorithm to write any element as $$f(x)=(x^2+2)q(x)+r(x)$$ where $\operatorname{deg}(r(x))<2$ so the elements of the ring are the linear polynomials over...

When chracterizing the definition of unique factorization domain ring, the Hungerford's text, for example, states that UFD1 any nonzero nonunit element x is written as x=c_1. . .c_n. Does this mean any nonzero nonunit element is always written as a product of finitely many irreducible...

Algorithm for finding best (or combinations of) "non-overlapping" matrix elements. I'm looking for the best general way to find the "best" combination for a list of non-overlapping matrix elements. For example, given the matrix AE BE CE DE AF BF CF DF AG BG CG DG AH BH CH DH...

I am baffled at the answers to the following HW quesitons compared with what I thought I knew about the topic. Hoping I can get my misunderstandings cleared up. Question 1 How many lines are expected on a detector plate of a Stern-Gerlach experiment if a beam of a) potassium atoms b)...

Hello again everyone, Physics Noob is back again. I had a question about solar formation that has me stumped. If you hadn't read my previous post, I am a newcomer and hobbist of physics so don't expect me to know everything or equations on physics. Again, I may come off sounding like an...

Hi, Homework Statement Show that for every x in (Z/ 7161 Z)*, the order of x divides 30. Homework Equations (Z/ 7161 Z)* is the group of units of Z/ 7161 Z. The Attempt at a Solution I factorised 7161: 7161 = 3 * 7 * 11 * 31 I used the Chinese remainder theorem to show that (Z/...

Hi, I somewhat know the basics about black holes. Tell me if I'm wrong. --A black hole is formed when a supermassive star (one of many theories of the formation of black holes) burns out due to exhausted fusion reactions. It can no longer support its own mass and the core collapses in on...

"The Set of all elements X" ? What does this mean? I know it's really simple but I don't understand what it means. In set builder notation when I'm describing a particular set I know for example: {10,11,12,13,14,15} is {x |x is a whole number greater than 9 less than 16} and is read "the set...

let A={z|z^6=√3 + i} B=(z|Im(z)>0} and C={z|Re(z)>0} find A∩B∩C the part previous to this qn asks me to find the roots of z^6 and I've already down that. but i have no idea how to proceed with this, so do i draw my unit ciorcle with the hexagon and then follow to see what regions satisfies with...

we are currently learning about radioactivity and i have become curious of how these heavier elements came to Earth in the first place? From what i understand, the lighter elements are formed by fusion in stars, but even so, how could these lighter elements reach us when the stars are so far...

Hello. I have a question about ionization energy: Two hypothetical elements in the 2nd or 3rd period have the following ionization energies: Element X First: 800 kJ/mol Second: 2500 kJ/mol Third: 3900 kJ/mol Fourth: 23000 kJ/mol Element Y First: 700 kJ/mol Second: 2200 kJ/mol...

Hello, I have been very obsessed with a board game called Hex lately. I am trying to calculate the number of completed states (all positions filled in) on a 3x3 board where a certain player wins, given that some positions are already filled. I have attached a diagram illustrating what I am...

If super nova is responsible for all elements on earth, including the ones that humans were made from, why aren't all elements found on every planet?

[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...

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 [FONT=MathJax_Math]

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...