Mathematics Web Site Fun

http://www.theproblemsite.com/news/

Coding the Letters in English Alphabets According to Sherif Monem

a 110
b 111
c 112
d 113
e 114

f 220
g 221
h 222
i  223
j  224

k 330
l  331
m 332
n  333
o  334

p 440
q 441
r 442
s  443
t 444

u 550
v 551
w 552
x  553
y  554

z  555

220223333443222

finish

///////////////////////

more advance

a 110
b 111
c 112
d 113
e 114

f 115
g 116
h 117
i  118
j 119

k 330
l  331
m 332
n  333
o  334

p 335
q 336
r 337
s 338
t 339

z  555

///

alternative

k 225
l  226
m 227
n  228
o  229

///////////

k 445
l  446
m 447
n  333
o  334

///
u 445
v 446
w 447
x  448
y  449

Seven Words mnemonics Representing the Rainbow Colors by Sherif Monem

Roy Oscar Yells Grizzly Bear In Van  by Sherif Monem


Roy Oliver Yells Grizzly Bear In Van  by Sherif Monem


Roy Oiler Yells Grizzly Bear In Van  by Sherif Monem

Seven Words mnemonics Representing the Rainbow Colors Sherif Monem

Venezuela

Roy Oscar Grammar Book In Vault.

Roy Oscar Green Bucks In Vault.

Seven Words mnemonics Representing the Rainbow Colors by Sherif Monem

Roy Oscar Yells Grizzly Bear In Van  by Sherif Monem


Roy Oliver Yells Grizzly Bear In Van  by Sherif Monem


Roy Oiler Yells Grizzly Bear In Van  by Sherif Monem

Seven Words mnemonics Representing the Rainbow Colors Sherif Monem

Venezuela

Roy Oscar Grammar Book In Vault.

Roy Oscar Green Bucks In Vault.

Seven Words mnemonics Representing the Rainbow Colors by Sherif Monem

Coding System Using Rainbow Colors as Basic

Coding Using Rainbow Colors

Red 1
Orange 2
Yellow 3
Green 4
Blue 5
Indigo 6
Violet 7

John was in hurry.

O = 2

I = 6

R = 4

John = = 2

was = = 0

in = 6

hurry = = 1 + 1 + 3 = 5


John was in hurry. =  = 2065

Another Example

Mr. President Barack Obama

What is the number?

1767

George Washington = = 1012

Abraham Lincoln = = 68

Note one can select the value assigned to every color in  reverse such that Violet =1 and Red =7

One can use A B C D E F system of any length needed.

Coding using complement of ten

The coding is

1 is 9
2 is 8
3 is 7
4 is 6

5 =5
0 = 0

2016 = = 8093

Coding using complement of ten

Rainbow Colors mnemonics Sherif Monem

Red

Orange

Yellow

Green

Blue

Indigo

Violet

//

Roy Of Yorkshire Got Beautiful Ivory Vase

Roy

Oliver

Yesterday

Got

Beautiful

Ivory

Vase

Roy Oliver Yesterday  Ghastly Broke Ivory Vase

Roy of Yorkshire Ghastly Became Invisible Vampire

by Sherif Monem

Green Blue

Grocery Bag

Great Britain

Guest Book

Great Book

Great Beauty

Grammar Book

Red  Orange Yellow

Roy of York

y

Red  Orange Run Over ///////////////// Rooster  Roll Yellow     Green Yellow Grape Blue Indigo Violet Broke Ivory Vase Roy of York Ghastly Broke Ivory Vase ///////////////////// Richard Of York Gave Battle In Vain Vanity Voice In vanity glamorous beauty  young glamorous beauty Became Invisible Vampire Roy of Yorkshire Ghastly Became Invisible Vampire Roy Oliver Yelled Grisly Bear in Vienna Roy Oliver Yelled Grisly Bear in Villa Roy Oliver Yelled Grisly Bear in Varanda  ........................ Vinegar

Numerical Encryption System and Keys1-2-3 by Sherif Monem

Numerical Encryption System 1-2-3 Sherif Monem

The encryption system is based on 1, 2 and 3.
0 =  000
1 =  100
2 =  010
3 =  001
4 =  101
5 =  011
6 =  002
7 =  102
8 =` 012
9 =  003

Example 627 = 002010102

.........................................................

Also one can write directly 10,11,12,13 and 14 using 3 numerals instead of 6 numerals.

10 = (103)
11 = (013)
12 = (113)
13 = (023)
14 = (123)

..
The encryption system is based on 1, 2 and 3. using Binary Scheme for every numeral

Every number will occupy 6 spaces.

Accordingly:


0 =  000 :  000000
1 =  100 :  010000
2 =  010 :  000100
3 =  001 :  000001
4 =  101 :  010001
5 =  011 :  000101
6 =  002 :  000010
7 =  102 :  010010
8 =` 012 :  000110
9 =  003 :  000011

Example 627 = 002010102 into binary: 000010000100 010010

Try yourself  793 into binary ... 18 digits of 0s and 1s.

Keys for Encryption

The numerical system is based on

First postion is 1

Second position is 2

Third position is 3

This will be labeled as key one.

Other keys can be devised.

1-2-3 key 1

2-3-1 key 2

3-1-2 key 3

1-3-2 key 4

2-3-1 key 5

3-2-1 key 5

Specify the key one gets different data stream.

...

Size and Master Key

Master key is arrangement of sets of numbers in none sequential way. The size is how many gtoups

An example:

355  724  534  753  812  436

Master key 1

1  2  3  size 3


355  724  534  753  812  436


Key 2

231 size 3

724  534 355 812  436 753

 Note each of these 6 numbers are written in a code.

Numeral 10 Based System and no Zero included Sherif Monem

1 2 3 4 5 7 8 9 Ω

120 = 1 1 Ω

130 – 1 2 Ω

125 = 125

200 = 1 9 Ω

210 = 1 Ω Ω

220 = 2 1 Ω

1000 = 9 9 Ω

1001 =  9 Ω 1

2000 = 1 9 9 Ω

9000 = 8 9 9 Ω

10000 = 9 9 9 Ω

The Approximation of Value of PI Mathematical Sherif Monem

PI =  3 +  0.14  15   92  65

PI = 3 + 1/7 or  22/7 .... An improvement upon this formula is

PI = 21.99/7

PI =  3 + 1/( 7 + (1/16) )

PI =  3 + 1/(7  + (1000/15997))  =  3 + 0.14 15  92  68

PI                                                =  3 + 0.14 15  92  65

.........................


PI =  3 +  0.14  15   92  65

PI = 3 + 1/7

PI =  3 + 1/( 7 + (1/16) )               =   3 +   0.14 15  92  92

PI =  3 + 1/(7  + (1000/15997))  =  3 + 0.14 15  92  68

PI                                                =  3 + 0.14 15  92  65  Tables

PI  = 3 + 1/(7  + (1001/16012))  =  3 + 0.14 15  92  60

PI  = 3 + 1/(7  + (1001/16013))  =  3 + 0.14 15  92  68

Literature

PI = 355/113                                =  3 + 0.14 15  92 92

 PI =  3 + 1/( 7 + (1/16) )                                         =  3 + 0.14 15  92 92

pi = 3 + 1 /7.07                             =  3 + 0.14 14  42 72

PI = 3 + 1/7                                   = 3 + 0.14  28  57 14

PI                                                =  3 + 0.14 15  92  65  Tables

SHERIF MONEM NEW NUMERICAL SYSTEM BASED ON 1 TO 10 zero included

SHERIF MONEM NEW NUMERICAL SYSTEM BASED ON 1 TO 10 INSTEAD OF ZERO TO 9

STANDARD NUMERICAL SYMBOLS system 1

0 1 2 3 4 5 6 7 8 9

Devised new numerical system

1 2 3 4 5 6 7   8 9 ∏

Where ∏ = our 10 in our current system

note  ∏ denotes numerical ten system

Accordingly,

1 2 3 4 5 6 7 8  9  ∏ 11 12 13 14 15 16 17 18 19 1∏ 21 22 2324 25 26 27 28 29 2∏ 31 32 33 34 35

36 37 38 39 .3∏ 41 42 43 44 ....

11 … 11

10 ....   ∏

20 ..   1∏

30 … 2∏

40 ..   3∏

50 ..   4∏

..

..

90 ..    8∏

100 ..  9∏

101…  ∏1

102 … ∏2

103 … ∏3

110 ..  ∏∏

111… 111

120 ..  11∏

121… 121

130 .. 12∏

140..  13∏

150 …14∏

..

190 … 18∏

200…  19∏

210 … 1∏∏

220 … 21∏

230 … 22∏

300 … 29∏

…

1000 .. 99∏

1010 … 9∏∏

...

10000   999∏    4 digits instead of 5 digits sparing one digit.

Exercise

20,000 = ?

1999∏

````````````````````````````````

Monday, April 29, 2013

Numerical 10 Based System no Zero is included

1 2 3 4 5 7 8 9 Ω

0 can be used for 0 only but not otherwise.

120 = 1 1 Ω

130 – 1 2 Ω

125 = 125

200 = 1 9 Ω

210 = 1 Ω Ω

220 = 2 1 Ω

1000 = 9 9 Ω

1001 =  9 Ω 1

2000 = 1 9 9 Ω

9000 = 8 9 9 Ω

10000 = 9 9 9 Ω

Numerical 10 Based System Zero is included 

11 …  11

10 ....   ∏

20 ..     20

30 …   30

40 ..     40

50 ..     50

..

..

90 ..      90

100 ..   ∏0

101…  ∏1

102 … ∏2

103 … ∏3

110 ..  ∏∏

111… 111

120 ..  120

121… 121

130 .. 130

140..  140

150 …150

..

190 … 190

200…  200

210 … 20∏

220 … 220

230 … 230
...
...

300 … 300

…

1000 ..   ∏00

1010 … ∏0∏

...
10000   ∏000    4 digits instead of 5 digits sparing one digit.

Exercise

20,000 = ?

 

Scientific Calculator on Line

http://www.calculator.net/scientific-calculator.html

Scientific Calculator

This is an online javascript scientific calculator. You can click the buttons and calculate just like a real calculator.

Approximate PI Evaluation by Dividing by Five Sherif Monem

PI =3 + 0707/5  = 3.1414 instead of 3.1415

Another approach



PI = 3 + .5658 /4 = 3.14145

 3 + .1414598 = 3 + .77299 / 5

tangent approach

2 + 2*tan( 29.7146)= 3.1414554

 

The constant π is represented in this mosaic outside the Mathematics Building at the Technical University of Berlin.





PI = 3 + .5658 /4 = 3.14145

NEW NUMERICAL SYSTEM BASED on One to Ten Instead of the 0 to 9 by SHERIF MONEM

SHERIF MONEM NEW NUMERICAL SYSTEM BASED ON 1 TO 10 INSTEAD OF ZERO TO 9

STANDARD NUMERICAL SYMBOLS system 1

0 1 2 3 4 5 6 7 8 9

Devised new numerical system

1 2 3 4 5 6 7   8 9 ∏

Where ∏ = our 10 in our current system

note  ∏ denotes numerical ten system

Accordingly,

1 2 3 4 5 6 7 8  9  ∏ 11 12 13 14 15 16 17 18 19 1∏ 21 22 2324 25 26 27 28 29 2∏ 31 32 33 34 35

36 37 38 39 .3∏ 41 42 43 44 ....

11 … 11

10 ....   ∏

20 ..   1∏

30 … 2∏

40 ..   3∏

50 ..   4∏

..

..

90 ..    8∏

100 ..  9∏

101…  ∏1

102 … ∏2

103 … ∏3

110 ..  ∏∏

111… 111

120 ..  11∏

121… 121

130 .. 12∏

140..  13∏

150 …14∏

..

190 … 18∏

200…  19∏

210 … 1∏∏

220 … 21∏

230 … 22∏

300 … 29∏

…

1000 .. 99∏

1010 … 9∏∏

...

10000   999∏    4 digits instead of 5 digits sparing one digit.

Exercise

20,000 = ?

1999∏

````````````````````````````````

Monday, April 29, 2013

Numerical 10 Based System no Zero is included

1 2 3 4 5 7 8 9 Ω

0 can be used for 0 only but not otherwise.

120 = 1 1 Ω

130 – 1 2 Ω

125 = 125

200 = 1 9 Ω

210 = 1 Ω Ω

220 = 2 1 Ω

1000 = 9 9 Ω

1001 =  9 Ω 1

2000 = 1 9 9 Ω

9000 = 8 9 9 Ω

10000 = 9 9 9 Ω

Counting of Numbers Using Base Three no zero used by Sherif Monem

Sunday, March 24, 2013

Counting Base Three by Sherif Monem

1    1
2    2
3    3
4   11 = 1 +3
5   12 = 2+3
6   13 = 3+3
7   21 = 6+1
8   22 = 6+2
9   23 = 6+3
10 31 = 9+1
11 32 = 9+2
12 33 =9 +3
13 111 = 9+3+1
...
...

17 = 122

PI Approximation Adding Three Numbers Sherif Monem

 

The constant π is represented in this mosaic outside the Mathematics Building at the Technical University of Berlin.
PI = pi=3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825

 http://www.math.utah.edu/~pa/math/pi.html

My formulation

With the first 4 digits correct is to add

the three numbers

A = 1.111111111....
B = 1.010101010...
C = 1.020202020...

Add these three numbers

PI approx =  3.141  four digits exact

PI approx =  3.1414  the fifth digit is 4 instead of 5. an error of 1 in 10,000 which is equivalent in error of
0.01%
Not bad



///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

Edit Article

How to Calculate Pi

Four Methods:Calculate Pi Using the Measurements of a CircleCalculate Pi Using an Infinite SeriesCalculate Pi Using Buffon's Needle ProblemArcsine Function/Inverse Sine FunctionQuestions and Answers

Pi (π) is one of the most important and fascinating numbers in mathematics. Roughly 3.14, it is a constant that is used to calculate the circumference of a circle from that circle's radius or diameter. It is also an irrational number, which means that it can be calculated to an infinite number of decimal places without ever slipping into a repeating pattern. This makes it difficult, but not impossible, to calculate precisely.

Method 1

Calculate Pi Using the Measurements of a Circle

1. 
   1
   Make sure you are using a perfect circle. This method won't work with ellipses, ovals or anything but a real circle. A circle is defined as all the points on a plane that are an equal distance from a single center point. The lids of jars are good household objects to use for this exercise.You should be able to calculate pi roughly because in order to get exact results of pi, you will need to have a very thin lead(or whatever you are using). Even the sharpest pencil graphite could be huge to have exact results.
2. 
   2
   Measure the circumference of a circle as accurately as you can. The circumference is the length that goes around the entire edge of the circle. Since the circumference is round, it can be difficult to measure (that's why pi is so important).
   

   • Lay a string over the circle as closely as you can. Mark the string off where it circles back around, and then measure the string length with a ruler.
3. 
   3
   Measure the diameter of the circle. The diameter runs from one side of the circle to the other through the circle's center point.
4. 
   4
   Use the formula. The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus pi equals a circle's circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.^[1]
5. 
   5
   For more accurate results, repeat this process with several different circles, and then average the results. Your measurements might not be perfect on any given circle, but over time they should average out to a pretty accurate calculation of pi.

Method 2

Calculate Pi Using an Infinite Series

1. 
   1
   Use the Gregory-Leibniz series. Mathematicians have found several different mathematical series that, if carried out infinitely, will accurately calculate pi to a great number of decimal places. Some of these are so complex they require supercomputers to process them. One of the simplest, however, is the Gregory-Leibniz series. Though not very efficient, it will get closer and closer to pi with every iteration, accurately producing pi to five decimal places with 500,000 iterations.^[2] Here is the formula to apply.
   

   • π = (4/1) - (4/3) + (4/5) - (4/7) + (4/9) - (4/11) + (4/13) - (4/15) ...
   • Take 4 and subtract 4 divided by 3. Then add 4 divided by 5. Then subtract 4 divided by 7. Continue alternating between adding and subtracting fractions with a numerator of 4 and a denominator of each subsequent odd number. The more times you do this, the closer you will get to pi.
2. 
   2
   Try the Nilakantha series. This is another infinite series to calculate pi that is fairly easy to understand. While somewhat more complicated, it converges on pi much quicker than the Leibniz formula.
   

   • π = 3 + 4/(2*3*4) - 4/(4*5*6) + 4/(6*7*8) - 4/(8*9*10) + 4/(10*11*12) - 4/(12*13*14) ...
   • For this formula, take three and start alternating between adding and subtracting fractions with numerators of 4 and denominators that are the product of three consecutive integers which increase with every new iteration. Each subsequent fraction begins its set of integers with the highest one used in the previous fraction. Carry this out even a few times and the results get fairly close to pi.

Method 3

Calculate Pi Using Buffon's Needle Problem

1. 1
   Try this experiment to calculate pi by throwing hotdogs. Pi, it turns out, also has a place in an interesting thought experiment called Buffon's Needle Problem, which seeks to determine the likelihood that randomly tossed uniform elongated objects will land either between or crossing a series of parallel lines on the floor. It turns out that if the distance between the lines is the same as the length of the tossed objects, the number of times the objects land across the lines out of a large number of throws can be used to calculate pi. Check out the above WikiHow article link for a fun breakdown of this experiment using thrown food.
   

   • Scientists and mathematicians have not figured out a way to calculate pi exactly, since they have not been able to find a material so thin that it will work to find exact calculations.^[3]
     

Method 4

Arcsine Function/Inverse Sine Function

1. 1
   Pick any number between -1 and 1. This is because the Arcsin function is undefined for arguments greater than 1 or less than -1.
2. 2
   Plug your number into the following formula, and the result will be roughly equal to pi.
   

   • pi = 2 * (Arcsin(sqrt(1 - x^2)) + abs(Arcsin(x))).
     • Arcsin refers to the inverse sine in radians
     • Sqrt is is short for square root
     • Abs is short for absolute value
     • x^2 refers to an exponent, in this case, x squared.
     
     
     ///
      http://www.wikihow.com/Calculate-Pi
     
     http://math.stackexchange.com/questions/1189820/calculating-pi-manually