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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 mathematical symbol that means 'less than'?

It is a chevron with its point facing to the left or a letter V on its side with the point of the V to the left. 1 < 2

What is the importance of algebra in today's world?

Ø Algebra is used in companies to figure out their annual budget which involves their annual expenditure. It, along with statistics is also used to predict their annual turnover.

Ø Even various stores use algebra to predict the demand of a particular product and place their orders likewise. Algebra is also used in preparing the bills of the customers in the case of the purchase multiple number of the same object.

Ø Algebra is used in schools by the teachers to prepare the annual reports of the children. Also, it can be used during examination to predict the usage of supplementary sheets, therefore helping in finding out the required number. It can be used to figure out the pass percentage for a test.

Ø It also has individual applications in the form of calculation of annual taxable income, payable income tax and bank interest and instalment loans.

Ø While reading the temperature in a thermometer, we can use this simple formula for converting °Celsius temperature into °Fahrenheit.

Degrees in Celsius (9/5) + 32 = Degrees in Fahrenheit

Ø During the construction of buildings algebra can be used to formulate the various measurements of the building in a proper ratio.

Ø In chemistry, algebra can be used to calculate the quantity of a substance required in an experiment. Also, it is used to calculate the quantity of various substances formed in an experiment.

Ø Unconsciously we are using algebra in every day life like when we go shopping and compare the pricing of the various products according to their quantity.

Ø It may be used by a person while hosting a party to calculate the total consumption of food according to the average one person consumption.

Ø It may be used when you estimate the distance from point A to point B by the time and speed of your travel or when you estimate the average speed at which you need to move to reach your destination in a particular time frame.

Ø Algebraic expressions and equations serve as models for interpreting and making inferences about data. Algebraic reasoning and symbolic notations also serve as the basis for the design and use of computer-spreadsheet models.

Ø Algebra is also used in various disciplines of physics like mechanics, electronics and acoustics.

For instance, in SONARs algebra is used to calculate the distance of the sea bed from the surface.

It is also used in astronomy in calculating the distances of planets, stars etc. from us.

Most people don't believe algebra is used very often, but we use it every day in different applications, sometimes without even knowing it!

also algebra can help you if you are a sales man

VALUE DIME 1902?

You need to know its condition and mint mark. Check a site such as the one below for a range of values.

What is the value of a cooey 64B serial number CA075071?

aprox 275.00 to 300.00

Try 1/2 of that. A pristine one might fetch $200 to $225. Most $100 to $150 depending upon which magazine it has (plastic or steel) The plastic magazines used on the early models are very difficult to find and if you do find one, there is a good chance it will be cracked and worn and the gun will not cycle properly.

What is boolean algebra?

Boolean algebra differs in a major way from ordinary algebra in that boolean constants and variable are allowed to have only two possible values 0 or 1. A Boolean variable is a quantity that may at different times be equal to either 0 or 1.

Boolean algebra is used to express the effects that various digital circuits have on logic inputs, and to manipulate logic variable for the purpose of determination of the best method for performing a given circuit function.

Because of possibility of only two variables boolean algebra is relatively easy to work with as compared to ordinary algebra. It have only 3 basic operations:

1. Logical Addition- OR

2. Logical Multiplication- AND

3. Logical Complimentation- NOT

In what order are nobility in England ranked?

The Sovereign

Sons of the Sovereign

Grandsons of the Sovereign

Brothers of the Sovereign

Nephews of the Sovereign

Uncles of the Sovereign

Younger princes of royal blood Archbishop of Canterbury

Lord Chancellor

Archbishop of York, Archbishop of Armagh, Archbishop of Dublin

President of Council

Lord Privy Seal

Lord Great Chamberlain

The Earl Marshall

Lord Steward of Household

Dukes

.....if a Marquis:

Lord Great Chamberlain

Lord High Constable

Earl Marshall

Lord Steward of Household

Lord Chamberlain of Household

Marquises

Eldest sons of Dukes

.....if an Earl:

Lord Great Chamberlain

Lord High Constable

Earl Marshall

Lord Steward of Household

Lord Chamberlain of Household

Earls

Eldest sons of Marquises

Younger sons of Dukes

.....if a Count:

Lord Great Chamberlain

Lord High Constable

Lord Steward of Household

Lord Chamberlain of Household

Viscounts

Eldest sons of Earls

Younger sons of Marquises

Bishop of London, Bishop of Durham, Bishop of Wincester

English Bishops, by date of consecration

Bishop of Meath

Irish Bishops, by date of consecration

.....if a Baron:

Lord Great Chamberlain

Lord High Constable

Lord Steward of Household

Lord Chamberlain of Household

Barons

Speaker of the House of Commons

Commissioners of the Great Seal

Treasurer of the Household

Comptroller of the Household

Master of the Horse

Vice Chamberlain of the Household

Secretary of State, if below the rank of Baron

Eldest sons of Viscounts

Younger sons of Earls

Eldest sons of Barons

Knights of the Garter

Privy Councillors, in order of appointment

Chancellor of the Garter

Chancellor of the Exchequer

Chancellor of Duchy of Lancaster

Chief Justice of Queen's Council

Master of the Rolls

Chief Justice of the Common Pleas

Chief Baron of Exchequer

Vice-Chancellors, in order of appointment

Puisne Judges of the Queen's Bench

Puisne Justices of Common Pleas

Puisne Barons of the Exchequer

Commissioners of Bankruptcy

Younger sons of Viscounts

Younger sons of Barons

Baronets of England, Scotland, Great Britain, Ireland

Knights of the Thistle

Knights of St. Patrick

Knights Grand Cross of the Bath

Knights Commanders of the Bath, St. Michael, and St. George

Knights Bachelors

Companions of the Bath, St. Michael, and St. George

Eldest sons of younger sons of peers

Eldest sons of Baronets

Eldest sons of Knights Grand Cross of the Bath

Eldest sons of Knights Grand Cross of St. Michael, and St. George

Eldest sons of Knights Commanders of the Bath, St. Michael, and St. George

Eldest sons of Knights Bachelors

Younger sons of younger sons of Peers

Younger sons of Baronets

Esquires of the Sovereign's Body

Gentlemen of the Privy Chamber

Esquires of the Bath

Esquires by appointments or office

Younger sons of Knights

General and Flag Officers

Colonels in the Army, Captains in the Navy

Gentlemen entitled to bear arms. taken from http://www.phouka.com/misc/odd/nobility.html

Why was algebra created?

It was invented to systematically solve complicated logic/math problems.

Value of 1948 dime?

The 1948 Roosevelt dime is very common. Most are only valued for the silver about $2.00.

What are some 16 Filipino values?

Some Filipino Values:

  • hospitality
  • industriousness or industry
  • religiosity
  • close family ties

utang na loob

pakikisama

close family ties

1916 quarter value?

Two types of US quarters with the same date were struck in 1916. A Barber quarter and a Standing Liberty quarter. The values are very different. In the lowest collectible grade, a Barber quarter is $10.00. A Standing Liberty is $2,800.00. Post new question with type of coin.

What is the value of a Deerfield 4x32 scope mod 21006?

The value of a Deerfield 4x32 scope model 21006 can vary depending on its condition and market demand. Generally, these scopes can range from $50 to $150 in the used market. It is recommended to check online marketplaces or firearm forums to get a more accurate estimate of its current value.

What is the value of 25 rimfire ammunition?

$200.00 per rd. I paided &180.00 per rd. 2 yrs. ago. I know it was insane. but enjoyed shooting it. first time in 85 yrs. I haven't shopped for any .25 rimfire, but have purchased .30 teatfire ammunition that has not been manufactured since 1870 for only $10 per round and think I over-paid. Some specialty ammunition manufacturers will occassionally produce a run of .25 rimfire, so it should be available at larger gun shows for no more than a couple dollars per round. Original ammunition 60 - 70 years old should be hard to find, but available.

M1 carbine value?

It depends when it was made, if it has all original parts, if it was ever restored, and if it was beat up.

Value of a 1942 dime?

1942 is a very common year so if the coin shows any wear at all the value is about $3.00 just for the silver.