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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
If the mint mark is D or S the dime could be worth from $2.50 to $90.00 depending on the condition. If not, then it's just worth the price of the silver unless it's in uncirculated condition.
What is the order of an element in a group?
The order of an element in a multiplicative group is the power to which it must be raised to get the identity element.
Is axiom or properties of real numbers the same?
No, they are not the same. Axioms cannot be proved, most properties can.
What is 8 tenth 4 hundredth 6 thousandth?
If you mean: 8/10+4/100+6/1000 then they = 423/500 in lowest terms or 0.846 as a decimal
What is the difference between Algebra 2 and Integrated Algebra 2?
there is no such thing as
Integrated Algebra 2 but they represent the same concept
Reflexive matrix for a given matrix?
The matrices that follow d rule of reflexivity is known as ref matrix
Inverse proportion is when one value increases, as the other decreases. For example the number of builders building a wall and the number of days it takes to build a wall are 2 quantities in inverse proportion because the more builders there are, the less time it takes to build the wall (there are more people working on it, so it will be built quickly). As the number of builders increases, the number of days to build the wall decreases. This is inverse proportion.
Field gradient refers to the rate of change of a physical field, such as an electric or magnetic field, with respect to distance in a specified direction. It quantifies how the strength or intensity of the field varies in space, which can influence the behavior of charged particles or magnetic materials. In practical applications, field gradients are crucial in technologies like magnetic resonance imaging (MRI) and particle accelerators, where precise control of fields is necessary for effective operation.
part / total
For example, if you have 20 (total) apples, and eat 5 (part) apples, then you would divide
5 (part) / 20 (total)
and you would get 25% of the total amount were eaten
What is the contribution of set theory in rdbms?
set - A collection of well defined and distinct objects. eg:emp={001,002,003,004....}
Relation - table(employee)
tuple -row(which employee)
attribute-column(details about that employee)
set theory says what all can be done with relation(table) with various operators
union ,intersection,=,!=,<> etc
What is the definition of the type of function called a sequence?
Given a set S and the set of positive integers Nwhere n Ä N, any function from N into S is called a sequence, notated as u. If u Ä S, then u is usually written as us.
See related links for more information.
What's the definition for a non-terminating decimal?
non-terminatind decimal: a decimal numeral that does not end in an infinite sequence ofzeros ( contrasted with terminating decimal).
terminating decimal: a decimal numeral in which, after a finite number of decimalplaces, all succeeding place values are 0, as 1 / 8 = 0.125 (contrasted with nonterminating decimal).
How do you prove idempotent law?
The same way you prove anything else. You need to be clear on what you have and what you want. You can prove it directly, by contradiction, or by induction. If you have an object which is idempotent (x = xx), you will need to use whatever definitions and theorems which apply to that object, according to what set it belongs to.
What is the value of 1926 quarter?
Look to the left and slightly above Miss Liberty's feet to see if there is a small S or D on the pedestal. That's the mint mark, and its presence affects the coin's value. (The M on the other pedestal is the designer's monogram.)
Worn condition - $5 with no mint mark or an S, $7 with a D
Moderate wear - $7 with no mint mark, $10 with an S, $17 with a D
Slight wear - $12 with no mint mark, $22 with an S, $35 with a D
What is the maximum number of queen a player can have in a game by one side?
I assume you mean the game of chess. The player starts out with one queen; the only way to get additional queens is to promote pawns - convert pawns into queens by taking them to the far end of the board (row 8 for white, row 1 for black). Since there are eight pawns that can be converted to queens, that makes a theoretical maximum of 9 queens, assuming standard chess rules are followed.
