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

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Moral Health Pits.

What should “games” add to this medical blog? They may attract more people especially those who do not have medical background or interests. Of course, posting an interesting item for the public may not be an easy job, but the question always is how fine and useful that idea or post could be.

Indeed, computer games did give me here some inspiration. Now with some reflection, playing games may have healthy aspects other than spending a pleasant time. Let’s discover this view together.

Introduction

Moral problems can negatively affect our health either directly or indirectly. By moral problems I mean bad habits (e.g. cigarette smoking), weak morals (e.g. inpatience) and illogical thinking (e.g. unreasoned fear). Indeed, such moral problems may pave the way for a punch of psycological illnesses and bodily diseases as well. “Moral Health Pits” will focus light on health and personal threatening moral pits and may thereby alarm us not to fall in those pits or even to help get out of them.

Players

Many players are expected to share in the game, but for necessity reasons a single player may also be practical.

Mode of the game

The mode is quite flexible where face masks, pictures or name cards can be used. Of course, game computerizing is also fine.

Tips

Each participant player would blindly choose a number of cards, each showing a certain moral pit. Then, a dialogue will be played for each problem separately, as follows:

Patient: Help me come out.

Helper: What is wrong with you?

Patient: I lie. I am a liar.

Helper: Have you been long there?

Patient: Yes, dear. A few years or so.

Helper: I would help with pleasure, but say one reason why do you need help.

Patient: Well. Lying is a bad thing that puts me deep down. I want be really up.

Helper: That’s fine. You are out and congratulations, dear.

Score

The player has a health credit of 100 at the beginning of the game. The sum of harm potentials of the concerned moral pits (drawn blindly by the player) is subtracted from the initial health credit. After solving a certain pit its potential is added positively to the actual health credit. By the end of this game round the health credit should be 100.

Moral health pits (their harm potential)

1- Eating unduly much (-5).

2- Going to bed unduly too late (-5).

3- Waking up unduly late (-10).

4- Systematically delaying jobs to a later time  (-10).

5- Not dare to learn new good things (-10).

6- Not having a plan (-15).

7- Undue pessimism (-15).

8- Unreasoned fear (-20).

9- Lack of interest (-20 ).

10- Obcessions (-20).

11- Nervousness (-20).

12- Rashness (-30 ).

13- Self understimation (-30).

14- Unreasoned passion, irrealistic (-35).

15- Always find others to blame for any fault (-40).

16- Self overstimation and self admiration (-40).

17- Bad smoking habits (-40).

18- Stealing objects or money (-45)

19- Materialistic attitude (-45).

20- Tricky attiude (-50).

21- Denying favors by others (-50).

22- Feeling jealous to others’ success (-55).

23- Having hate to someone (-55).

24- Think to revenge (-60).

25- Being guiltily sexually minded (-60).

26- Negative attitude (-60 ).

27- Telling lies (-70).

The Lucky Gatherer

What should “games” add to this medical blog? They may attract more people especially those who do not have medical background or interests. Of course, posting an interesting item for the public may not be an easy job, but the question always is how fine and useful that idea or post could be.

Indeed, computer games did give me here some inspiration. Now with some reflection, playing games may have healthy aspects other than spending a pleasant time. Let’s discover this view together.

Introduction

A healthy human should not only keep defending against bad things that would make disease and discomfort but also have the initiative that would help achieving goals like enjoying agreable social life and making his/ her own family. Here, this game “The Lucky Gatherer” would help us understand and appreciate this aspect.

Players

Many players are expected to share in the game, but for necessity reasons a single player may also be practical.

Mode of the game

The mode is quite flexible where face masks, pictures or name cards can be used. Of course, game computerizing is also fine.

Tips

The lucky gatherer will walk around, or even travel or fly to quite distant lands, in very different and contrasting nice and attractive places, e.g. garden, shops, parks, cafes, etc. The rewrads and surprises gathered in each place will depend on the appropriate qualities the lucky gatherer would think of within 3 seconds.

Score

The player has a fortune of zero at the beginning of the game. Gathering 5-45 points means unsatisfactory; 50-85 considerable; and 90-100 big fortune and winning the game.

Qualities (their benefit potential); and example of a corresponding situation

1- A shining smile (+5); on walking up in the morning.

2- A nice body language (+5); on giving a speech at work-place.

3- Simply and elegantly dressed (+5); on going out for shopping.

4- Teeth brushed few days ago but still fine (+5); on going for an appointment.

5- Voice is full of courage and passion (+10); on talking to somebody.

6- Help needy people even when not asked for help (+10); in a public transport vehicle.

7- Being a good listener (+10); somebody introduces him/herself.

8- Give complement in right time and place (+10); during a conversation.

9- Give opinion openly, quietly and politely (+10); a discussion with family members.

10- Share mind  in public, quietly and politely (+10); a discussion in service auto.

11- Being interested in people (+15); in the work place.

12- Have personal demands always in mind (+15); on going out in a picknic.

13- Think of many things together but do one at a time (+15); on going out for a visit.

14- Keep notes for plans and ideas and revise these regularly (+15); in the rest time.

15- Can live alone but like to have companions (+20); in daily life activity.

16- Have a good access to outside world (+20); on dealing with customers.

17- Read effectively (+20); in free time.

18- Know other languages (+20); on watching TV.

19- Have high work/time efficiency (+20); in daily life activity.

20- Able to learn and advance (+20); on deciding for a new job.

21- Learning from past mistakes (+25); on dealing with other people .

22- Benefit from point of views of others (+25); on doing professional tasks.

23- Work on understanding own needs (+25); on choosing a partner.

24- Keen on priorities and work on them timely (+25); in a shopping.

25- Making decision in time and accomodate consequences (+30); on guessing your interest in somebody/ something.

26- See well around and grasp quickly place and time provisions (+40); on attending a social ceremony.

27- Being passionate and practical (+40); on expending money.

28- Making many good friends(+50); along with daily life events .

Ten Ghosts In The Dark Room

What should “games” add to this medical blog? They may attract more people especially those who do not have medical background or interests. Of course, posting an interesting item for the public may not be an easy job, but the question always is how fine and useful that idea or post could be.

I got the idea of this “game” a couple of years ago and it seems now nice as a medical blog post. Indeed, computer games did give me here some inspiration. Now with some reflection, playing games may have healthy aspects other than spending a pleasant time. Let’s discover this view together.

Introduction

Falling sick is usually a complicated process in the sense that more than one offending enemy may take part. The person should be quite healthy and fine as long as he/ she keeps open eyes and can take guard of those enemies adequately in time. Lacking appropriate response or being too slow may draw the person to risks, disease or even be life threatening.

Players

Many players are expected to share in the game, but for necessity reasons a single player may also be practical.

Mode of the game

The mode is quite flexible where face masks, pictures or name cards can be used. Of course, game computerizing is also fine.

Tips

In the dark room there are always ten enemies (ghosts) but only one enemy can attack at a time. The player has to react adequately to attacking ghost within 3 seconds.

Score

The player has a health credit of 100 at the beginning of the game. Losing 5-15 points means unnoticeable damage; 20-35 noticeable damage; and 40-50 serious damage and losing the game.

Ghosts (their damage potential); and how to defend

1- Physical exhaustion + (-5); no problem to feel so pretty tired.

2- Lonely feeling (-5); no company better than bad company.

3- Insidious thirst (-5); let’s have some tap water.

4- Insidious hunger (-5); one or two cokies better than nothing.

5- Physical exhaustion ++ (-10); I see I need some rest.

6- Insufficient water drinking (-10); drinking water is healthy.

7- Feeling superior (-10); I am afraid to hate myself equally.

8- Feeling deprived (-10); I know it is just a summer cloud.

9- Transient physical illness (-10); a light thing to appreciate your health.

10- Uncompromized bad experiences (-15); that was also for my profit.

11- Family troubles (-15); lucky for having that and not worse.

12- Transient physical illness ++ (-15); this should be good for my balance.

13- Being inferiorized (-15); old and useless tricks.

14- Being badly treated (-15); nobody harms you unless you give way, I am good anyway.

15- Negative feedback (-15); I do believe I can be better.

16- Reasoned fear (-20); time is best healer.

17- Chronic physical ilness +/- restrictions (-20); it can go thanks God.

18- Feeling inferior (-20); should I be once fair, I am great.

19- Being underestimated (-20); imagine if they knew who I would be.

20- Lack of hygiene (-25); little hygiene can do alot for a kind man.

21- Lack of sports (-25); regular or even occasional sports are best remedy.

22- Obcessive compulsive disorder OCD (-25); I heard once about this kind of disorder.

23- Unreasoned fear (-25); good experiences skip unreasoned fear.

24- Lack of envision (-25); think and know good inside is your title.

25- Lack of judgemnet (-25); any how not to lose your faith.

26- Materialistic attitude (-30); life is matter and secret.

27- Joblessness (-30); I am embassador for good intention.

28- Lack of entertainment (-30); how wonderful this world is and especially people.

29- Money troubles (-30); this is the easiest problem I would have.

30- Day dreams (-30); fine but where is my plan?

31- Professional problems (-35); please, be objective and active.

32- Hazy love thoughts (-35); wish to see light for serious and respectful love.

33- Emotional stagnation (-35); when should I say out this all to me?

34- Intellectual depression (-35); have a plan and make the best of your self.

35- Environmental disagreement (-40); I love natural beauty and natural passion.

36- Sexual bother (-40); this should not mean me.

37- Negative feelings: hate, revenge, jealous, etc. (-40); give this up, save yourself.

38- Social problems (-40); appreciate others and discover yourself.

39- Political problems (-50); a problem to forget.