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Siku Ya Pi () duniani - 3.14, March 14 kila mwaka!!

Discussion in 'Jukwaa la Elimu (Education Forum)' started by Iselamagazi, Jun 23, 2012.

  1. Iselamagazi

    Iselamagazi JF-Expert Member

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    l
    pi day - Larry Shaw.jpg
    Larry Shaw mwanzilishi wa Pi Day akiwa ktk exploratorium. Pie.jpg Keki maalumu.

    Siku ya Pi (π) duniani – 3.14, March 14 kila mwaka.

    Je ulishawahi kusikia sherehe za Siku ya Pi (π) ? Ikiwa bado, basi wengi wanajua kuhusu siku hii muhimu isipokuwa wewe tu!

    Siku ya Pi (Pi Day) ilianzishwa rasmi mwaka 1988 kwa ajili ya unyeti wa hii ‘mathematical constant π (Pi) pamoja na kumbukumbu ya kuzaliwa kwa gwiji la Phizikia, Albert Einstein (14 March, 1879)


    Sherehe hizi ufanyika kila tarehe 14 ya mwezi March kila mwaka hasa hasa kwa nchi zilizoendelea. Kwanini basi iwe 14 March? Hii inatokana na umuhimu wa tarakimu tatu za mwanzo ktk expression ya π: yaani 3, 1 na 4 (Pi = 22/7 = 3.14… kwa maana ya uwiano wa mzingo wa duara na kipenyo chake). Chukua duara lolote lile, hata liwe na ukubwa kiasi gani; pima mzingo wake pamoja na diameter yake, ratio ya hizi parameter mbili utaishia na jibu hili: 3.1415926535..

    Kuna njia anuai za kusherehekea siku hii. Baadhi ya njia hizo ni kutengeneza midoli ya Pi, kuimba nyimbo za Pi, kula pie na kujadili mambo mbali mbali kuhusu umuhimu wa Pi!

    Umuhimu wa Pi!
    v Mapiramidi yalijengwa kwa kutumia kanuni ya Pi,
    v Hapo zamani, Wa-Misri, Watu wa Babiloni nk walitumia Pi kufanya estimations za mafuriko ya mito mikubwa kama : Hidekeli (Tigris), Frati (Euphrates) na Mto Nile,
    v Ktk engineering – Fourier analysis,
    v Kutafuta eneo la duara lenye nusu kipenyo r, (πr[SUP]2[/SUP]); kutafuta mzingo wa duara, (2πr); kutafuta ukubwa wa sphere (πr[SUP]2[/SUP]h) n.k.,
    v Aidha kanuni ya Pi ilitumika ktk mambo ya unajimu (astronomy) na mambo ya survey.

    Mwana JF, siku ya Pi kwa mwaka huu 2012 imeishapita kitambo, lakini unaweza kusherehekea pia ‘Approximation Day’ hapo mwezi ujao tarehe 22 July (22/7) nadhani watu wa Mathematics wanajua maana ya 22/7! Unaweza ukasherehekea kwa kula pie.

    π truly is one of the three most fundamental parameters of reality!

    http://www.math.com/tables/constants/pi.htm
     
  2. patience96

    patience96 JF-Expert Member

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    Strange coincidence that Einstein's birthday was on 3-14!!!

     
  3. asigwa

    asigwa JF-Expert Member

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    duh..japo I HATE MATHEMATICS but hii kitu (PI) ina mchango mkubwa sana katika maendeleo ya ulimwengu wa hesabu
     
  4. Osaka

    Osaka JF-Expert Member

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    Ni nani hasa aliyegundua hii Pi? Nilidhani kuwa ni Archimedes (250 BC). Kumbe WaMisri walianza zamani sana kutumia hii kitu!
     
  5. Osaka

    Osaka JF-Expert Member

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    Mkuu hii mito: Tigris na Frati ni ile tunayosoma ktk Msahafu (Genesis 2: 10 - 14) au ?
     
  6. Adoe

    Adoe Senior Member

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    Educato!

    Pi is important because it appears in formulas throughout math and science in fields as diverse as physics, statistics, & sociology.
     
  7. Atabase Agaya

    Atabase Agaya Senior Member

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    Pi (π)

    pi is one of the most extremely useful and fundamental quantities we know of. It is defined as the ratio of a circle's circumference to its diameter (or it area to the square of its radius).

    It can obviously be used to calculate:

    - the circumference of a circle (2*pi*R)
    - the area of a circle (pi*R^2)

    Let's look at some more interesting facts about pi.

    It is an irrational number, which means that its value cannot be expressed exactly as a fraction (when the numerator and denominator are integers).

    It has an infinite number of non-repeating digits.

    It is a transcendental number. This means that no sequence of algebraic operations using integers (powers, roots, sums, etc.) can be equal to its value.

    Throughout the history of mathematics, there has been much effort to determine π more accurately and to understand its nature; fascination with the number has even carried over into non-mathematical culture.

    EVERYDAY USE
    pi it appears in all sorts of calculations for physics, engineering, electrical systems. The double-helix is DNA revolves around pi. Pi is in the rainbow, the pupil of the eye, and when a raindrop falls into water pi emerges in the spreading rings. It appears in colors and in music. It is also used in probability and statistics.

    It also appears when calculating the number of deaths in a population.

    Interestingly, the ratio between the actual length of a river and its straight-line from source to mouth length tends to approach pi (Einstein was the one to show this).

    The current record for the decimal expansion of π, if verified, stands at 5 trillion digits.

    The Guinness-recognized record for remembered digits of π is 67,890 digits, held by Lu Chao, a 24-year-old graduate student from China. It took him 24 hours and 4 minutes to recite to the 67,890th decimal place of π without an error.

    Akira Haraguchi, a retired Japanese engineer, claimed to have recited 100,000 decimal places but this has yet to be verified by Guinness.

    So as you can see, pi turns up in MANY places. To summarize some everyday uses:

    1) electrical engineers used pi to solve problems for electrical applications
    2) statisticians use pi to track population dynamics
    3) medicine benefits from pi when studying the structure of the eye
    4) biochemists see pi when trying to understand the structure/function of DNA
    5) physicists looking into the behavior of fluid ripples see pi and use it in their calculations
    6) clock designers use pi when designing pendulums for clocks
    7) aircraft designers use it to calculate areas of the skin of the aircraft
    8) signal processing and spectrum analysis (finding out what frequencies are in the wave you are using) uses pi since the fundamental period of a sine wave is 2*pi.
    9) Navigation, such as global positioning (GPS)

    the list goes....have fun searching other uses. I would say that pi (along with the exponential term e) is the most useful constant we know of. (The fine-structure constant is also up there).

    Cheers, Pi day!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
     
  8. patience96

    patience96 JF-Expert Member

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    Siku ya Pi oyeee!
     
  9. m

    mashambani kwao JF-Expert Member

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    huyu jamaa alikuwa ni noma hatakunyoa ndevu hataki?
     
  10. patience96

    patience96 JF-Expert Member

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    Leo ni siku ya Pi!
     
  11. patience96

    patience96 JF-Expert Member

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    Attached Files:

  12. Safari_ni_Safari

    Safari_ni_Safari JF-Expert Member

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    Hapa wanasheria hawakanyagi ng'oo
     
  13. Kijakazi

    Kijakazi JF-Expert Member

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    Duh! wewe mtuma mapicha mpaka huku unafika?
     
  14. Kijakazi

    Kijakazi JF-Expert Member

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    Mbona kumepooza sana, wanaojiita wadau wa elimu mbona kimya? Wanaotaka kuandamana kutetea Elimu yetu wakuwapi, angalau waje watupe neno!
     
  15. Safari_ni_Safari

    Safari_ni_Safari JF-Expert Member

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    Kwani ukiwa mdau wa picha ndio hesabu hujui?
     
  16. Gaijin

    Gaijin JF-Expert Member

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    I've celebrated the day by watching Life of Pi
    while eating fish fry with my ally in Dubai
    under the blue sky and a house fly
    passing by in a white tie
    like a movie from Mumbai
     
  17. Iselamagazi

    Iselamagazi JF-Expert Member

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    kweli kaka @asiga.
     
  18. Iselamagazi

    Iselamagazi JF-Expert Member

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    kaaazi kweli mkuu safari!
     
  19. MankaM

    MankaM JF-Expert Member

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    :flame::flame:
     
  20. k

    kalikenye JF-Expert Member

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    Umejuaje?We ni noma.
     
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