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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.

###### 1,600 Questions

6 feet means how many inches?

1 foot = 12 inches

So

6 feet = 6 x 12 = 72 inches.

What are nearly level area that has been eroded called?

A nearly level area that has been eroded is called a peneplain. It is a landform characterized by extensive, low-relief surfaces that result from prolonged erosion and weathering processes.

What is the median of the set of numbers 1 4 9 15 25 36?

First of all , place the numbers in rank order. Already done in this case.

1,4,9,15,25,36

Since there are an even number of terms, we take the absolute middle two terms, '9' and '15'.

Add together and divide by '2'

Hence ( 9 + 15) / 2 = 24/2 = 12

12 is the median.

What is the formula for exponential growth?

It can vary , but it is something along the lines of

G(t) = Ae^(xt)

Where

'G' is growth at time 't'

'A' is a constnt

'e' is the exponential 2.7818....

'x' is the variable factor

't' is the time.

e^(xt) is the exponential raised to the power of 'variable factor multiplied to time'.

What is 10 to the fith power?

It is: 105 = 100,000

Who developed the modern portfolio theory?

The modern portfolio theory was developed by Harry Markowitz in 1952. His work revolutionized the field of finance by introducing the concept of diversification and the importance of balancing risk and return in investment portfolios.

What is the time when it is half past noon?

12:30 pm (Latin ; post meridian ; After noon).

or 1230 hours (military etc).

Casually 'lunch time'.

On the Analogue Clock, the small finger/hand is half way between '12' & '1' and the large finger/hand is pointing directly at '6'.

Is a negation another term for axiom?

No, a negation is not another term for an axiom. A negation is the logical operation that expresses "not" in a statement, while an axiom is a self-evident or universally accepted truth that serves as a starting point for reasoning in a mathematical system or a logical argument.

What is laboratory method?

Laboratory method refers to a systematic approach used to conduct scientific experiments and investigations in controlled environments such as laboratories. This method involves following a set of procedures, utilizing specialized equipment and tools, and recording data to analyze and draw conclusions based on the results obtained. It is widely used in various scientific fields to study and understand phenomena under controlled conditions.

Derivation of an expression for eigenvalues of an electron in three-dimensional potential well?

The eigenvalues of an electron in a three-dimensional potential well can be derived by solving the Schrödinger equation for the system. This involves expressing the Laplacian operator in spherical coordinates, applying boundary conditions at the boundaries of the well, and solving the resulting differential equation. The eigenvalues correspond to the energy levels of the electron in the potential well.

How do you solve 5x plus 3x?

There is NO solution, because there is NO equals sign.

However, 5x + 3x add to 8x (simplified)

Remember in Algebra

5x means '5' multiplied to 'x' and '3' multiplied to 'x'.

The multiplication sign is never shown in algebra.

What is a way to remember volume units?

One way to remember volume units is to remember the acronym "GQT", which stands for Gallon, Quart, Pint. This order represents the hierarchy of common volume units in the US customary system.

What is electric field vector in plane polarised light?

In plane polarized light, the electric field vector oscillates in a single plane as the light propagates. This means that the electric field vector points in the direction of polarization and does not change orientation during propagation.

What is the value of obsidian?

The price of obsidian varies with type and rarity. Obsidian is sought out by mineral collectors who want to display and enjoy it. It is also bought up by those who want to fashion it into jewelry and other objects. Obsidian, or volcanic glass, has a range of values that depend on the piece being sold or the chunk or object assessed for value. The curious person might start by looking on eBay to see some examples of the specimens for sale, and also some of the many, many pieces of jewelry made from it. It can also be fashioned into book ends, chess pieces, and just about anything else that other minerals can be made into. And the prices or "value" of these things will vary as broadly as the item being looked at. Just as you would expect. An example: Rainbow Obsidian is one of the most beautiful varieties of obsidian, but it is still not expensive. Retail values of Rainbow Obsidian generally won't go over the \$40-50 per pound range..... Unless... Obsidian is volcanic glass. Little white flecks of ash or streaks of impurities are fairly common. I once owned a 26 pound Rainbow Obsidian Sphere. It was rare because of its size and the absence of ash. The retail value of that piece could be two to three times the normal rate because of its rarity.

How many kiloseconds in a second?

kilo means 1000 so one kiloseconds is 1000 seconds then 1 second is 0.001 kiloseconds

What are axioms?

axioms are statements which cannot be proved.but these statements are accepted universally.we know that any line can be drawn joining any two points.this does not have a proof

Logarithmic growth formula?

The formula for logarithmic growth is ( y = a \cdot \log(x) + b ), where ( y ) is the output, ( a ) is a growth factor, ( x ) is the input, and ( b ) is a constant. The logarithmic function grows slowly at first but then accelerates as the input increases, often used to model growth that levels off over time.

What is an example of a primary group?

Which is an example of a primary group? C. A close, long-lasting friendship

How to find Msc-maths 1st year old questions papers?

You can try contacting your university or college's examination office to request old question papers for MSc Mathematics 1st year. You can also check online repositories, academic forums, or student groups where previous year's question papers might be shared. Additionally, some universities have online databases or archives where you can access past question papers.

Is using AssemblyLoad a static reference or dynamic reference?

Using AssemblyLoad is a dynamic reference. It allows you to dynamically load assemblies at runtime based on certain conditions or criteria rather than having a fixed/static reference in the code at compile time.

What is a mull set?

'Mull Set' . I think you mean 'NULL SET'.

This means a set with no elements, or an empty set.

Was Godfather 1 better than Godfather 2?

Godfather 1 was an epic film, and Godfather 2 was more like a continuation.

What does the variable I stand for in algebra?