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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
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What strategies can you use to solve a linear equation such as?
One useful strategy is having started a question to complete it.
How is Boolean algebra related to computer language?
Its main utility is in representing the truth value statements, rather than the numeric quantities of ordinary algebra. It is used in the binary system in digital computers. The only truth values, true and false can be represented by the binary digits 1 and 0. The fundamental operators (Boolean logic) are "and,' "or," and "not." Thirteen other operators can be made up using a combination of these operators.
For a point (x,y), y is the ordinate.
So let's suppose you have a point (3,4)
The 3 will be three spaces to the right of (0,0) on the x axis.
And the y will be four spaces above that.
In this example, the ordinate is 4.
What is the value of a 1902 dime?
Assuming the coin is circulated and has no mintmark, the 1902 Barber dime is very common. For an accurate assessment of value the coin needs to be seen and graded. Most coins show a lot of wear. In general retail values for low grade coins are $2.00-$3.00, better grade are $6.00-$22.00 and coins showing almost no wear run from $60.00-$91.00. Values are a market average and only for coins in collectible condition, coins that are bent, corroded, scratched, used as jewelery or have been cleaned have far less value if any to a collector or dealer
Is zero matrix a scalar matrix?
Yes.
Let M be an arbitrary square matrix and Z be a zero matrix of the same dimension.
Then Z*M = Z = 0*M = 0 => Z = 0.
Z is a scalar matrix with lamda = 0.
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 had already attracted the answer "No" to the same question, albeit with the words reversed.
What is the difference between algebra and Boolean algebra?
Algebra is a very broad topic covering all sorts of things, including Boolean algebra. Boolean algebra in itself is the study of a variable called "Boolean." This variable can only take two values: true and false. See 'related links' for more information.
In a mathematical equation, the expressions on either or both sides of the equality sign (=) may involve one or more symbols standing for unknown quantities: the "variables." A standard method of solving an equation is by transforming it into another that has the same set of solutions. When all occurrences of a variable appear on just one side of the equality, that variable has been "isolated." Some people might apply a stricter criterion in which one side of the equation must consist only of that variable.
For example, in the equation
x + 3 = 2x + 1
there is one variable "x" but it is not isolated. It can be isolated by subtracting x+1 from both sides to produce the equivalent equation
(x + 3) - (x + 1) = (2x + 1) - (x + 1)
Rules of arithmetic permit the left hand side to be rewritten as "2" and the right hand side to be rewritten as "x", giving
2 = x.
Now x is an isolated variable.
See the Wikipedia article on "Elementary algebra" for details.
The term "isolated variable" is also used in statistics in many slightly different ways. It appears to be used by investigators to refer to an experiment in which exactly one of many factors under experimental control is varied to determine its effect on the experimental outcome. This factor is called the "isolated variable."
Another related meaning is in a multiple regression context where, as part of the analysis, all but one of the explanatory variables is left out: the remaining one is the "isolated variable." See Walter et al., "Creatinine clearance versus serum creatinine as a risk factor in cardiac surgery," BMC Surgery 2003, 3:4 at http://www.biomedcentral.com/1471-2482/3/4 for an example.
Yet another related meaning is that a statistical variable 'X' is "isolated" when there is no direct causal relationship between 'X' and any of the other variables in the statistical model. For an example of this usage, see the "final review questions" page for the "Quantitative Research in Public Administration" course at NC State University at http://www2.chass.ncsu.edu/garson/PA765/ch15qanda.htm.
What is the value of a 10 gauge Supergoose?
The Marlin Model 5510 "The Original Super Goose" is a 10 GA, 34" barrel, bolt action shotgun. It has a 2 round magazine. I own two of them purchased in the 2007 and believe me, this is an enormous shotgun and kicks like a mule. Both of mine are in very good to excellent condition. The value is $350-$450. It is interesting that they are not particularly rare or expensive yet you won't find too many for sale. I watch web postings (gunbroker, auctionarms, gunsamerica, etc.) regularly and rarely are there more than 2-3 for sale. My biggest caution for a buyer is to make sure the magazine is in good condition. The 10 GA mags are very rare. If you don't want such a massive beast, consider the Marlin Model 55 in 12 GA. It is the baby brother of the Super goose, has a 36" barrel, is a little lighter and won't break your shoulder when you shoot it.
What is the parent function of the graph y equals -3x10?
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".
As stated, the question refers to y = -3*10 = -30.
That is a single point on the Cartesian plane.
What are the application of vectors in real life situation?
Anything that's moving involves vectors in some way. My favorite example is if you're walking in a given direction, and someone is approaching you perpendicularly, and you slightly speed up or slow down to avoid colliding with them.
Will any 4 points on a graph produce a Cubic equation?
Any 4 points in the Cartesian plane determine a unique equation that is of degree at most three (i.e., a "cubic" equation). It is, of course, possible that the 4 points actually lie on a degree two ("quadratic"), a degree one ("linear"), or a degree zero ("constant") equation. However, if the 4 points do not lie on a constant, linear, or quadratic curve, then they will like on a unique cubic curve.
In general, N points will determine a unique curve of degree at most (N-1).
This all depends on the type of field you are referring to. Homomorphism in general is math-structural map between two alike structures, such that:
g(xy) = g(x)g(y)
The theory of numbers is based on the property of sets of different kinds of numbers.
Philosophy
Values are an individual's guiding principles or morals.
Ethic value denotes something's degree of importance, with the aim of determining what action or life is best to do or live, or at least attempt to describe the value of different actions. It may be described as treating actions themselves as abstract objects, putting value to them. It deals with right conduct and good life, in the sense that a relatively valuable action may be regarded as ethically "good" (adjective sense), and an action of low, or at least relatively low, value may be regarded as "bad".
What makes an action valuable may in turn depend on the ethic values of the objects it increases, decreases or alters. An object with "ethic value" may be termed an "ethic or philosophic good" (noun sense).
Mathematics
Values are numbers, usually numerical representation of observed data.
Values are the "rules" you have set for yourself. Values define who you are as a person.
A 1957 quarter is worth about $3.75 in top circulated condition. Uncirculated quarters are worth up to $14 and proof specimens are $8.
Is there a difference between the 6th and 7th edition of Gilbert's Elements of Modern Algebra books?
Yes, question numbers and theorems do not align. However, I believe the content is the same.
What are constants and how are they are different from varibles?
Constants are numerical values which are fixed but which may or may not be known. Variables are also numerical but may take a range of values.
If a variable appears in an equation or inequality), it may be possible to solve the equation to ascertain the value of the variable.
Eigenvalues of an operator are the only experimentally measurable quantities?
Is an axiom of Quantum Mechanics. The implications are extremely subtle and mathematical, so I recommend reading the quantum books by Shankar or Griffiths. Both should be available at any technical or university library.
What is the difference between simple algebra from advanced algebra?
advanced algebra is hard simple algabra is easy
