Dates mathematics, Chapter 1

dates mathematics

Do you like dates or mathematics? We know what dates and mathematics are, but we do not know yet how and when they could be done in one recipe? In this text I shall answer this question and, so, bringing into light one of the most beautiful work pieces in mathematics and natural sciences. The revelation came to me about one year ago when I started again to reflect on numbers that are very common in the Islamic realm. I wrote then down a few lines and left it to time. At the closure of 2016 and the beginning of 2017 I thought it was necessary to go ahead with that (idea) as it may help in my career as a scientist and academic researcher. The courage I had in this work was due to my engagement in basic research since 2000 as ESKAS-scholarship holder at the University of Basel and more recently (2015) in school mathematics for one year with my niece.

In this mathematics discovery I intuited that numbers could be ordered according to their value and, thus, could be handled mathematically with such order note rather than their true value or amount note. On doing so, elegant equations, beautiful patterns and new applications might be possible. The commencement was truly thrilling and exciting. It threw green light that everything should be all right.

1- The ordinal numbering system

The numbers in the ordinal numbering system can be written as such:

…., I9-, I8-, I7-, I6-, I5-, I4-, I3-, I2-, I1, I2, I3, I4, I5, I6, I7, I8, I9, ….

These ordinal numbers match the following numbers in the common mathematics:

…., – 8, – 7, – 6, – 5, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, ….

2- Equations to derive ordinal numbers

Ix = x – 1 ………………………………… (1); when x is positive

Ix- = – (x – 1) ………………………….. (1-1); when x is negative

Ix/y = (x/y) – 1 ………………………. (2); when x/y is positive, and x/y > 1

Ix/y- = – ((x/y) – 1) ……………………. (2-1); when x/y is negative and |x/y| > 1

3- Simple mathematical operations with ordinal whole numbers (In)

3.1: Additions and subtractions

Addition rule:

Ix + Iy = Ix+y-1 ……………… (3); when x and y are positive

Ix- + Iy- = I(x+y-1)- ……………… (3); when x and y are negative

Ix + Iy- = I(x-y+1) ………… (3-1); when x > |y| or x = |y|

Ix- + Iy = I(-x+y-1) ………… (3-2); when |x|> y

Subtraction rule:

Ix – Iy = Ix + Iy- ………………. Use either (3-1) or (3-2)

I(x-) – Iy- = Ix- + Iy ………… Use either (3-1) or (3-2)

3.2: Multiplication and division

Multiplication rule:

Ix . Iy = I(x.y) – (x+y-2) ………………. (4); when x and y are positive

Ix- . Iy- = I(-x.-y) – (x+y-2) ………………. (4-1); when x and y are negative

Ix- . Iy = I((x.y) – (x+y-2))- ………………. (4-2); when either x or y is negative

Division rule:

Iz/Ix = I(z+x-2)/x-1 ………………….. (5), when x and y are both positive or both negative

Iz-/Ix = I((z+x-2)/x-1))- ………………….. (5-1), when either x or y is negative

 

Examples:

1) I1 = 1 – 1 = 0

2) I2 = 2 – 1 = 1

3) I2- = – (2 – 1) = – 1

4) I1 + I2 = I1+2-1 = I2 = 1

5) I2 + I2- = I2-2+1 = I1 = 0

6) I3 – I2- = I3 + I2 = I3+2-1 = I4 = 3

7) I2 . I2 = I4-4+2 = I2 = 1

8) I2/I2 = I(2+2-2)/2-1 = I2/1 = I2 = 1

9) I1/I1 = I(1+1-2)/1-1 = I0/0 (not known)

10) I2/I3 = I(2+3-2)/3-1 = I3/2 = 3/2 -1 = 1/2

 

N.B. Intellectual and perpetuations rights of this material are protected property for the author. Please, in case of any questions or interest in this material refer to the author. Author’s e-mail address: elsherbinimustafa@gmail.com

Landing on self’s moon

landing on the self's moon

A wonder maybe perceived as such on the basis of its rarity rather than its fascination. For example, walking on own feet and seeing with own eyes are considered as basic provisions despite the marvelous coulisses of their occurrences. Being on board either on the land or in the air is also gradually becoming common sense though they were one day typical scenes of man’s sweet dreams. A sense of accomplishment and satisfaction, though with varying impact and extent, is always the common subjective factor of all these customary wonders. The wonder is being perceived as such as it calls an inherent ability to judge and rank and as it touches a readily ignitable complement of perception. In conclusion, the wonderful things that attract our attention and awake our interest are not only wonderful in themselves but also they need to find their labile candidates of sufficient priming and attentive perception.
In the vestibules of self there should be the greatest wonder and the sweetest triumph. A pleasant glory may be sensible with some reflection and admirable faith rather than with a fanciful wealth and tiresome sophistications. A vector of passion and altruism, a cruise of generosity and forgiveness and a trajectory of hope and optimism make a brilliant path of self’s genius profile. This would be the moon one should land on first.

Sensible incoherence

1- Who will not learn while asleep, will not learn while awake.
2- Who will not learn for the less, will not learn for the more.
3- A scientist is a priest who meditates in the lab.
4- Sin is theft.
5- Deprivation is worse than hunger.
6- Keep learning and stay young.
7- A war is not over until enemy has become a friend.
8- No escape without fine intuition and good intention.
9- A good intention is made obvious by a better means.
10- One door for bad can close 100 doors for good and the reverse is true.
11- Renovation is it.
12- Love is a mystery that haloes the good work.
13- Light is perceived rather than received.
14- Who is not burnt by fire is almost dead.
15- The sacred truth.

A white hair

Sparkling in the dark is a white hair,

Charming with brightness here and there,

Like a note of honor and shine of mercy;

A gift that gave time with flair.

*

The calm sea of peaceful treasure,

Wonderful and wealthy at every measure.

Notable for cheer and surprise,

Decent and wise.

*

Sparkling lovely is a white hair;

That the dark and light seen together.

The doubt then flew in despair,

But hope remains lively forever.

Physician! Why not?

physician 2
A sweet dreamy child is fond of various amusing, challenging and curious items. From playing hide and seek through living in a cartoon to flying far with a cup of fruit glace. A mark of talent and infinite will to joy and dream. Yet, the questions would visit the little genius, who finds always simple and lovely answers; “When I grow up, I would get married and have a fridge full of food and fruits.” So, the little sees the promising lovely future. Not once seen singing like popular singers, glowing in matches like the best footballers or drowning in thinking and trial like a great scientist or a philosopher. We got a treasure of abilities waiting for love, care and refinement. Such genius will find many chances to show admiration to goodness and creativity.

What? Would I be a doctor? The word sounds me very nice. I like the person too, full of passion, wisdom and respect. I don’t know a doctor in my family but I feel like I am stolen by the word and its reflection. I like to help everybody especially the needy people and those who are sick and weak. A doctor puts on a shiny white coat, gives prescriptions and can save lives by doing surgery. I can agree generally with all this but in fact it is the word – doctor – that interests me this time, the word itself not the job. I can live with such a word that sounds in my ears and soul like a mercy of an endless spring.

The physician has preliminary physical, social, financial, moral and intellectual conditions that suit the requirements for interrogating, examining and treating patients. Besides this the physician may have the opportunity to do medical research in basic and/or clinical studies that may necessitate the engagement in a team work of other disciplines like engineering, physics, chemistry and biology. Though the work of a physician is almost a matter of continuous training and practice, yet this work is largely dependent on the way how data are managed and saved. Nice and efficient data handling should help the physician for better results with less effort, cost and time.

And now, to a brief note about the progress of medical practice that I wish to be useful:
– Leeuwenhoek makes the first microscopes (1673).
– Lavoisier discovers the conservation of mass (1774).
– Avogadro defines the mole as a unit of mass for chemical reactions (1811).
– Jenner discovers the vaccination (1796-1811).
– Robert Koch puts postulates for infectious diseases (1890).
– Rontgen discovers the X rays (1895).
– Fleming discovers the penicillin (1928).
– Watson and Crick deduce the chemical structure of the DNA (1953).
– The complete sequence of the human genome is known (2003).
Practicing medicine is a job that should be given out of both knowledge and admiration. Enjoy it!

The idea of religion

the idea of religion
A religion is sometimes thought of as a sum of rituals and believes with varying impact on the running of daily life. According to religious provisions one may select from a wide panel of life trends including marriage, outlook, interests, values and food. The presetting of a magnificent Creator and supra-human will is also sometimes a great concern of religious belief. As a mere kind of inspiration, religion may not surpass being an idea that long tackled the human intellect and spirit.
Being “religious” on such definition may denote a sort of discipline and order. It may entail also a given appreciable standard of good values, morals, passion and reasoning. A religion could be an adoption of respect and creative attitude to restrain a natural tendency to shallowness and recession. Remedies, free time, jobbing, social life, beautiful surrounding and healthy food are basic life-issues that may be influenced by religious believes.
In this vision, religion is not a mere set of obligations and restrictions but more a system that cares about and ensures an effective and harmonized performance and proper out-shaping of human needs and capabilities. Indeed, religion is concerned with perception, science and justice. Science can be an approach to justify a given religious belief that in turn encourages scientfic perception of life in the best proved human experience. Justice, on the other hand, is the almost indispensible common factor in a religion that praises peace, forgiveness and perfection.

Lost

Lost in the flood of good and mercy,
Gifted and enchanted.
In my lovely thoughts modesty and fancy,
Flattered and suspected!
Brittle is my heart and the eyes glassy,
Delicate and sharpened.
Flying in a climax of joyousness,
Released and enlightened.
Lost in the flood of good and mercy,
Spirited and crowned.