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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 1940 Nazi 50 Reichspfennig?
What does a number in parentheses mean?
Too many variables to really answer. The context of the number is critical. Is it an Area Code? Is it a negative number on a bank statement? Is it referencing a footnote in a book? Is it following a number such as one (1)? The meaning is entirely dependant on the context.
______________________________________________________________________ Another answer would be that if a number in parentheses is right next to another number, then you are to multiply both numbers if it's a math problem. In some graph tables, f(x) replaces y. Variables, letters that replace numbers, can also be in parentheses.
How is a function defined using sets?
If f is a relation between the sets S and Twith s Є S, t Є T, and (s, t) Є f, then f is defined as a function from S into T if, and only if, s is f-related to one specific t. If this is the case, t can be expressed as a function of s via the notation t = f(s).
See the related links for the definitions of relation and f-related as well as the definition of the special types of functions called metrics and sequences.
What is the value of a 1958 peso?
A 1958 Mexican Peso contains .0511 of an ounce of silver and may be worth up to about $2. You might also try a library for a copy of the Standard Catalog of World Coins for pictures, values and lots more interesting info.
What is the metric unit for a 5 math textbooks?
The answer depends on whether you want to measure the mass or the height of a stack of the books. Furthermore, maths textbooks come in all shapes and sizes.
How do you use algebra in dentistry?
The algebra section of the DAT is used to evaluate your ability to use numbers and show that you're capable of prblem solving.
I have one, in great condition. Depending on the serial number, it's probably worth between $100-$300.
What are the categories of algebra?
the categories of algevra is the collection of objects, arrows,replacing the unknown value with a letter.
Can two objects have the same mass but different weights?
YUPP... if you have a chicken nugget and a gold nugget, they can both have the same mass but the gold nugget is going to weigh one heck of a lot more. (my dad told me this so you betcha its right.)
What is an equation of a line that passes through the point 0 5 and has a negative slope?
If you mean a slope of -1 then it is: y = -x+5
What are the examples for Group Technology?
group technology allows for more people to be involved in a sexual position
Is area of a field a vector quantity or a scalar?
area is a vector quantity,no doubt - 100% sure read the portion of cross products from any of these:
-CONCEPT OF PHYSICS - H.C.Verma
-NCERT book
_halliday,resnick,walker
i m a student of class 11
i was also not able to understand why area is a vector quantity
but after reading d above i understood
clear your concept by reading theory then jump into questions
jai hind
hopin d above infor wil b helful 2 u
I think so. Copy and paste method could be used to prove this. But this is only my opinion.
What is meant by a subgroup generated by an element x belongs to group G?
It is a subset of the Group G which has all the properties of a Group, namely that it is a set of elements (numbers) with a binary operation (addition) that combines any two elements in the set to form a third element which is also in the set. The Group satisfies four axioms: closure, associativity, identity and invertibility.
The set of integers, Z, is a Group, with addition as the binary operation. [It is also a Ring, but that is not important here]. The set of all multiples of 7 is a subgroup of Z.
Denote the subgroup by Z7. It is a Group because:
Closure: If x and y are in Z7, then x = 7*p for some p in Z and y = 7*q for some q in Z. Then x + y = 7*p + 7*q = 7*(p+q) where p+q is in Z because Z is a Group. Therefore 7*(p+q) is in Z7.
Associativity: If x (= 7p), y (= 7q) and z (= 7r) are in 7Z, then
(x + y) + z = (7p + 7q) + 7r
since these are in Z an Z is associative, = 7p + (7q + 7r) = x + (y + z).
Identity: The additive identity is 0, since 0 + x = 0 + 7p = 7p since 0 is the additive identity in Z.
Invertibility: If x = 7a is in Z7 then 7*(-a) is also in 7Z. If 7*(-a) is denoted by -x, then x + (-x) = 7a + 7*(-a) = 0 and so -x is the additive inverse of x.
But there are elements of Z, for example, 2 which are not in Z7 so Z7 it is a proper subset of Z.
Rules for matrix multiplication?
Suppose A is a pxq matrix and B is an rxs matrix.
Then C = AxBis defined only if q = r: that is the number of columns in A is the same as the number of rows in B. The result is then a pxs matrix.
Suppose the element in the wth row and xth column of A is awx.
Similarly, let the element in the yth row and zth column of B is byz.
Then the element in the ith row and jth column of C is
ai1b1j + ai2b2j + ... + aiqbqj where i = 1, 2, ..., p and j = 1, 2, ..., q.
There are further rules for matrix multiplication.
It is not commutative: in fact B*A may not even exist.
It is associative. Provided they exist, A*(B*C) = (A*B)*C
It is distributive over addition: Provided they exist, A*(B+C) = A*B + A*C
and (B*C)*D = B*C + B*D.
What is the value of a Benelli M3 Super 90?
For a point of reference the current Blue Book Of Gun Values - 28th Edition lists the Benelli M3 with the following values: NRA condition -$price
100% - $1,100
98% - $865
95% - $750
90% - $675
80% - $575
70% - $475
60% - $375
Premiums would be added for ghost ring sights, folding stock, or Model 200 Laser Sight System. I see these selling NIB for around $1,100-$1,300. You might want to check out the popular auction/classfied websites to see what real world prices are like for the M3. Hope this helps! I just found a 95% with ghost ring sights for $895
A set is a group of objects that has a well defined criterion for inclusion within the group.
For example: The set of Yankee baseball players on the 2010 roster.
This set would include Derek Jeter but not Mike Lowell ( on the hated Red Sox).
It would also not include Joe DiMaggio or Yogi Berra because they were on earlier Yankee squads.
A set can be defined by either a rule as the example above or by listing each of its members for example { Jeter, Texeira, Posada, Sabathia, Pettite, Cano, Alex Rodriquez, ..}
The number of elements that belong to a set is not a defining factor of the set but when a set has an infinite number of elements then the rules of behavior for that set are slightly different. Look up Georg Cantor for more information on infinite sets.
randomness like i know what this is dont ask me oh wait it is letters
What is 0 equals 81x squared-25?
Turn it around for my convenience.
81X^2 - 25 = 0
add 25 to each side
81X^2 = 25
divide both sides by 81
X^2 = 25/81
take square root both sides
X = sqrt(25/81
express as
X = sqrt(25)/sqrt(81)
do it
X = 5/9
----------------check in original equation
81(5/9)^2 - 25 = 0
81(25/81) - 25 = 0
25 - 25 = 0
0 = 0
checks
What values do Buddhists have?
they believe that suffering is caused by wants and when we stop wanting we will stop suffering.also they believe that the goal of life is to be free of pain of suffering
How are bacteria used to treat people with diabetes?
bacteria itself is not the treatment.
we use the bacteria to produce insulin, we do so by inserting the gene into their plasmids and trigger them to produce the insulin.
the insulin is extracted and used.
What are four Boolean operators?
Depends on the computer language, the Boolean operators may have different looks, but all the basic ones should be in place:
- Equality (Equals(), ==, IsTrue, IsFalse), to compare 2 boolean values
- Not (~, !, .NOT. ), negation or compliment. That is, !True True
- And (&, &&, .AND.), the intersection.
- Or (|, , .OR.), the union
