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Abstract Algebra
Have you ever wondered what would happen if you redefined some of the basic rules of algebra so that concepts you took for granted, like AB = BA, no longer apply? Abstract algebra does just that through the study of the properties that define algebraic structures. Post all questions about fields, rings, group theory, vector spaces, and the axioms that define them into this category.
1,849 Questions
What is the value of a 1904 half centavo?
The value of a 1904 half centavo coin varies by the coins condition. As of 2014 this coin in mint condition is valued around 22.00.
Can a group contain its operation as an element?
Yes, as shown by this example:
S={*}
G=(S,*)
*:S X S-->S
*(*,*)=*
However, I could not find any nontrivial examples.
Whats the solution to 2x--9-3 equals 2 4x-6-3?
2x + 6 = 8x -18. (Poorly written, but I believe this is what you're looking for)
x = 4
What is the value of an expression2log10 5 log10 4?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".
There are no operator symbols before 5, before log 10 and before 4.
What is the value of a Taurus PT99?
Book values as of 2002:
NIB Exc V.G. Good Fair Poor
525 425 325 250 150 100 Present values slightly higher
What is linear combination in matrices?
If X1, X2 , ... , Xn are matrices of the same dimensions and a1, a2, ... an are constants, then
Y = a1*X1 + a2*X2 + ... + an,*Xn is a linear combination of the X matrices.
What is the value of a 1940 quarter?
You didn't provide any information on the coin's condition or mint mark. Here are some typical values for 1940 quarters from Philadelphia (no mint mark), Denver (D), and San Francisco (S). "Good" condition means fairly heavy wear but all wording and major details visible, "Fine" can be interpreted as light to moderate wear, and "Extremely Fine" means the coin has essentially no wear.
Regardless of mint mark, a 1940 quarter would be worth around $3 in Good condition and maybe $6 in Fine condition. In XF, a Philadelphia issue would retail for about $10, a 1940-S would be about $15 and a 1940-D would be about $30.
What are the five axioms in real numbers?
The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are:
- Zero is a natural number.
- Every natural number has a successor in the natural numbers.
- Zero is not the successor of any natural number.
- If the successor of two natural numbers is the same, then the two original numbers are the same.
- If a set contains zero and the successor of every number is in the set, then the set contains the natural numbers.
Closed sets and open sets,
or
finite and infinite sets.
What is the value of 12.5 X 107?
It is 1337.5
You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.
What is the equation of a line in general form with a slope of -2 and a y-intercept of 8?
Use the slope intercept form equation, y=mx+b. Plug in -2 for m and 8 for b.
Final equation: y=-2x+8
Can matrices of the same dimension be multiplied?
No. The number of columns of the first matrix needs to be the same as the number of rows of the second.
So, matrices can only be multiplied is their dimensions are k*l and l*m. If the matrices are of the same dimension then the number of rows are the same so that k = l, and the number of columns are the same so that l = m. And therefore both matrices are l*l square matrices.
Is null matrix a scalar matrix?
No. A scalar matrix can not be a zero matrix
Just a note on separate Qs & As here. I'd stumbled on this group because as I can't understand matrices, I wasn't looking deliberately, but it looks as if another questioner has also asked the same, albeit with the words reversed, and gained a "Yes" and explanation.
Why is MgCl2 a variable in PCR?
Mg2+ complexes with the single stranded DNA that is to be amplified, and becomes the substrate of DNA polymerase. In other words, it helps in the binding of primer (and the subsequent target DNA) to the template DNA. Different volume of Mg2+ exert different complex-forming capabilities, and thus affects the end product of PCR.
What is the value of 1978 dollar?
In general none of the Eisenhower dollars regardless of date or mintmark struck for general circulation contain any silver or have more than face value. Only proof and uncirculated collectors coins sold from the Mint have premiums
What is the value of a 1965 dime?
That's a normal circulation coin struck in cupronickel. It's only worth face value. ANACS has validated the existence of a few 1965 and 1966 dimes struck on leftover silver blanks, similar to the way a few 1943 cents were struck on bronze planchets. These coins weigh 2.5 gm while standard copper-nickel ones weigh 2.27 gm. Auction sales of have been up to 20,000 dollars.
What is value of a 1915 double barrel 410?
Some people claim a .410 double is worth up to $500, but it would have to be like new with the original $15 price tag still attached. More likely to bring about half that much if still functional and not too badly worn. That 1915 is most likely a patent date and the gun could have been made in the 1950's or even later.
Er.. I'm not Einstein ;-) but I'll try and put you on the right track... The term "magnetic vector" refers to the amplitude and direction of the magnetic field associated with an electromagnetic wave. Hope this helps!
How do you select seventh highest value?
SINCE THE QUESTION IS NOT SPECIFIC TO FIND 7TH HIGHEST SALARY OF AN EMPLOYEE OR ANYTHING ELSE,LET ME GIVE YOU THE SOLUTION FOR 7TH MAX SAL FROM A EMP TABLE. SELECT * FROM EMP E
WHERE 7=(SELECT COUNT(DISTINCT SAL) FROM EMP F WHERE E.SAL<=F.SAL);
