Different sets square and triangle

Reference no: EM13522844

To give an alternative definition of ordered pairs, choose two different sets *square* and *triangle* (these appear as actual squares and triangles in the text). For example, *square* = { }, *triangle* = {{ }}. Define

(a,b) = {{a,*square*}, {b,*triangle*}}.

State and prove an analogue of Theorem 1.2 -- (a,b) = (a',b') if and only if a = a' and b = b' -- for this notion of ordered pairs.

--------------------

I'm utterly lost...

Reference no: EM13522844

Questions Cloud

Find the direction and magnitude of the electric force : Four small charged bodies of equal charges Q=-1nC are placed at four vertices of a rectangle with sides a=4cm and b=2cm. Determine the direction and magnitude of the electric force

Concept of an ethical commonwealth : Socrates refers to the idea that we should “know ourselves.” What does this mean? How do we pursue self-knowledge? What does Kant mean by his concept of an "ethical commonwealth" According to Kant, what is our relation to the moral law?

Expalin ionization techniques can introduce multiple charges : "Soft" ionization techniques can introduce multiple charges onto a molecule to produce multiply-charged species. Show a possible spectrum for an 1800 Da peptide protonated by chemical ionizatoin with up to 4 charges. Be sure to label the axes and ..

Explain the non growing inner heart wood of the tree : A sample of the growing outer wood of a giant sequoia tree gave 1.417 times as many radioactive disintegrations of 14 c 6 as the non growing inner heart wood of the tree. if the half life of 14 c 6 is 5770 years, how old is the tree

Different sets square and triangle : To give an alternative definition of ordered pairs, choose two different sets *square* and *triangle* (these appear as actual squares and triangles in the text). For example, *square* = { }, *triangle* = {{ }}. Define

How close was she to the wall when she received the echo : Bats use echolocation to determine their distance from objects they cannot easily see in the dark. how close was she to the wall when she received the echo

Explain the variability of human behavior : Explain whether there are other theories besides nature and nurture that might explain the variability of human behavior. what exactly does davidson mean when he says that meaning is autonomous?

Find how many years would it take to pay off the debt : At the time of this book's printing, the U.S. national debt is about $10 trillion. If payments were made at the rate of $2 000 per second, how many years would it take to pay off the debt, assuming no interest were charged

Calculate the density of the unknown liquid : A piece of metal weighs 53.6 N in air, 35.0 N in water, and 42.2 N in an unknown metal. What is the density of the unknown liquid

User Account

All Pages