I dreamed I rode a tricycle last night Large and painted blue without a bell Then I met my doctor,what a sight
He told me he had lately seen the light And wished to be a monk inside a cell I dreamed I rode a tricycle last night
Ted Hughes had gone out fishing for a pike The army in my head was doing drill Then I met my doctor,what a sight
I see the almond blossom, what delight My sister thinks I’ve left her in my Will I dreamed I rode a tricycle last night
Yet I am weary with my oversight I am rarely mad enough to kill Unless I met a doctor out on strike
Because of such a strike I lost my sight The Eye emergency was left too late They say that if I sue I’ll feel a chill Surgeons with knives on my window sill
Everyone wants to be normal But nobody knows what it is It must be ouside of us Or we’d feel what it was So is it that we are all God?
Why do we want to be normal Instead of being ourself? We want acceptance For sure and not by chance Not to mention we all want more wealth
Maybe there is nobody normal The median, the mean or the mode We all need to deviate From eternal love and hate See here what the Greek Gods still owed
This topic will take your mind off Brexit and help you regain a sense of awe and wonder.This cartoon has an equation on it.But some numbers are never found as the answer to such an equation.And that can be proved.And some of the proofs are quite easy.
Hermite might not have succeeded nowadays as passing exams was not easy for him.I suspect he was a person who preferred to spend his time on his own interests in Mathematics and to neglect his wider studies
I have referred in some of my Stan stories to the number “e”.Hermite was the first to prove that e is not an algebraic number.
It may surprise many people that there are different kinds of numbers ,beginning with the integers 1.2.3…… and the rational numbers [fractions like 1/2 4/5 89/54 etc.]
The Babylonians discovered the ratio of the circumference of a circle to its diameter was fixed regardless of the size of the circle.We call it pi.It is not an integer nor a raional number.The number of integers is infinite.
“The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 1900–1680 BC) indicates a value of 3.125 for pi, which is a closer approximation.” [from link below]
They used 3 as an approximation and in the Hebrew Bible 400 BCE the Temple was made using 3 as an approximation. Archimedes got closer.But. like e, pi cannot be expressed as a fraction.
Some other numbers like the square root of 2 are irrational [ that is,not fractions[ but they are algebraic.As in x squared =2
Relating to Solomon’s temple.They used pi =3.It is in the Hebrew Bible
Real numbers are all numbers from integers to the transcendental and they are uncountably infinite
Pi and e are called transcendental numbers.We don’t know many other
Yet
“The set of transcendental numbers is uncountably infinite. Since the polynomials with rational coefficients are countable, and since each such polynomial has a finite number ofzeroes, the algebraic numbers must also be countable. However, Cantor’s diagonal argument proves that the real numbers (and therefore also the complex numbers) are uncountable. Since the real numbers are the union of algebraic and transcendental numbers, they cannot both be countable. This makes the transcendental numbers uncountably infinfte
Quote from article below {Euler is usually credited with this]
:In 1706 a little-known mathematics teacher named William Jones first used a symbol to represent the platonic concept of pi, an ideal that in numerical terms can be approached, but never reached.
William Jones, mathematician from Wales, 1740
The history of the constant ratio of the circumference to the diameter of any circle is as old as man’s desire to measure; whereas the symbol for this ratio known today as π (pi) dates from the early 18th century. Before this the ratio had been awkwardly referred to in medieval Latin as: quantitas in quam cum multiflicetur diameter, proveniet circumferencia (the quantity which, when the diameter is multiplied by it, yields the circumference).
How my heart sings 