Twenty Trees

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Mathematics

##Prime Number##. A Prime Number is a number that is only divisible by 1 and itself. 1, 2, 3, 5, 7, 11, 13, 17, 19.

##Mersenne Prime##. A ##Mersenne Prime## is a ##prime number## that is one less than a power of two.

##Real Numbers## is the set of all numbers.

##Irrational Number##. An Irrational Number is a number that cannot be expressed as a Fraction. Examples of Irrational Numbers are the square root of two, ##PI##, ##Euler's Number## and the ##Golden Ratio##.

##e##. Euler's Number is 2.718254. It is usually written as 'e'. It is an ##Irrational Number##.

!##Euler's Number is the number to which compounding, as in compount interest, converges.

!##For example, if interest is paid at 100% then after one year £1 becomes £2.

!##If the interest is charged at 50% twice then the interest will be ( 1 * 1.5 ) * 1.5 = 1.52 = 2.25

!##If the interest is charged at 25% four times then the interest will be ( ( ( ( 1 * 1.25 ) * 1.25 ) * 1.25 ) * 1.25 )= 1.254 = 2.44

!##If the interest is charged at 8.33% twelve times then the interest will be 1.0833 ^ 12 = 2.612

!##If the interest is charged at 4.2% twenty-four times year then the interest will be ( 1.04224 ) = 2.67

!##If the interest is charged at 0.1% one thousand times then the interest will be ( 1.001 ^ 1000 ) = 2.72

!##If the interest is charged at an infinite number of times then the interest will be ( 1.00/∞ ) = 2.718254... which is Euler's number.

!##Euler's Number is the sum of the infinite series ( 1 / n! ) ie 1 + 1 + 1/2 + 1/6 + 1/24 + 1/120 + 1/720 + 1/5040 .... = 2.718281828.

Logarithms

Geometry

Heraldry

Armorials

Arms is short for Armorials. Arms are borne by an Armiger. An Armiger is entitled to bear Arms. Such a person is said to be armigerous. The terms Blazon and Escutcheon also used. The expression Coat of Arms is specific to a coat; a tabard, or jupon, on which a Armiger's Armorials are shown. Coat of Arms is frequently used instead of Arms.

Abbot to Eyre

England Royalty

Fane to Grosvenor

Hanover to Normandy

Oldenburg to Russell

Sackville to Zouche