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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 can you infer about a set of data based on its mean or average number?
By itself, very little, apart from the fact that it is somewhere in the middle of the spread of data. For example, the mean of the data set comprising {1, 1, 1, 1, 1, 1, 1, 1, 2, 9990} is 1000. Also, the mean of the set {1000, 1000} is also 1000. The sets are hardly similar, though.
What steps are involved in making a valid conclusion?
Scientists use the data from an experiment to evaluate the hypothesis and draw a valid conclusion.
The history of algebra can be traced all the way back to the Ancient Babylonians. The term algebra is first found in a book written by Mohammed ibn Musa al-Khwarizmi.
Is their any formula in calculating animal growth rate?
There are formulae based on regression analyses but they vary between species and, for species that reproduce sexually, the formulae will very often differ between genders.
How do you find the equation of the axis of symmetry of y equals 2x plus 2 plus 4x plus 2?
y = 2x + 2 + 4x+ 2 = 6x + 4
This is NOT a symmetric function and so there is no axis of symmetry.
Good work ! Did you have a question you wanted to ask ?
What is the value of a 1928 quarter?
Assuming the coin is circulated, the 1928 Standing Liberty quarter is a common date coin of the series. For an accurate assessment of value the coin needs to be seen and graded. Most coins have seen heavy use and show a lot of wear. In general retail values for low grade coins are $8.00-$15.00, better grade are $20.00-$35.00 and coins showing almost no wear in the AU grades, run from $50.00-$95.00. Values are a market average and only for coins in collectible condition, coins that are bent, corroded, scratched, used as jewelry or have been cleaned have far less value if any to a collector or dealer.
What does the computer-based Uniform CPA Examination emphasize?
information technology and general business knowledge and reflects a broader approach to testing candidates' understanding of auditing concepts. Also, there is increased testing of skills in areas such as research and analysis.
What is the value of a 1784 coin?
That's not enough information to go on. Please post a new question with the coin's denomination, country of origin, and condition. If possible include any wording on the coin such as mottoes, etc.
A vector space is an algebraic structure with two binary operations, + and *, that satisfy the following axioms:
1) Associativity: a + ( b + c ) = ( a + b ) + c
2) Commutativity: a + b = b + a
3) Addition identity: a + 0 = a
4) Additive inverse: a + a-1 = 0
5) Scalar distributivity with respect to vector addition: c*(a + b) = c*a + c*b
6) Scalar distributivity with respect to field addition: (c + d)*a = c*a + d*a
7) Compatibility: c*(d*a) = (c*d)*a
8) Scalar multiplicative identity: 1*a = a
For the above axioms a, b, 0, Є Vand 1, c, d Є F where V is a set of vectors over the field F. Most of the time F = R or C, which are the sets of real and complex numbers, respectively.
How do you find the average spread?
Average speed is the total distance traveled divided by the elapsed time.
A car that travels 60 miles in one hour, stops for one hour and travels 60 miles for another hour, has an average speed of 120 miles / 3 hours, which is 40 mph.
28 square root of 6 is approximately 68.59. Plug 28 back to the root will be V4704.
How many seconds are in 130000 years?
Since the Georgian Calender repeats itself over 400 years, and the rules to the Georgian calender state that there is a leap year once every 4 years, but not one that is divisible by 100 unless also divisible by 400, there is 146,097 days every 400 years. There are exactly 325 cycles of 400 years in 130000 years, so we have 47,481,525 days. Each day is 86,400 seconds long, so multiplying the previous two figures give 4,102,403,760,000 seconds.
Remember this figure is before taking into account of leap seconds.
Scanning mode in which beam is scanning selected areas only; after scanning of selected area is completed beam is turned off and moved to another area to be scanned. It is also called Raster Scan Method.
A mapping consists of two sets and a rule for assigning to each element in the first set one or more elements in the second set. We say that A is mapped to B and write this as m: A→B.
When was the modern portfolio theory developed?
. Harry Markowitz established the foundation of modern portfolio theory in 1952.
Can you give an example that shows that division is not a commutative property?
Commutative property in division Indeed I have the answer. One example would be: 8 divided by 4 = 2 is different from 4 divided by 8 = 0.5 This means that if you alter the order of the dividends, the result of the operation will change. That is why division is not a commutative property. not ha ha ha
What is the value of a 1821 coin?
More information is needed. Please post a new question giving the coin's denomination, condition, and if it's not a U.S. coin, the country that it's from.
