Leo ni siku ya PAI Duniani 3.14.2013

[Nivea]

Najua wanamahesabu mmenielewa namkaribisha yeyete achanganue hiyo maneno
pie=3.14

l
View attachment 57289 Larry Shaw mwanzilishi wa Pi Day akiwa ktk exploratorium.View attachment 57291 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

Pi (&#960😉

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

 

[Abelian]

karibu pale mnazi mmoja ushuhudie maajabu ya pie

 

[Preta]

mi najua life of PI......
cc: watu8......

 

[Obama wa Bongo]

dah!hii makitu nilikuwa na lamba F plus kila siku wakati nipo kwa shule .

 

[Zero One Two]

Sasa ivi nilikua naitumia hapa kwenye ku design LPG

 

[sikiolakufa]

Najua wanamahesabu mmenielewa namkaribisha yeyete achanganue hiyo maneno
pie=3.14

Hahahah mkuu umenifurahisha sana umenikumbusha jinsi bilionea wa magazeti Rupert Muchoch alivyovamiwa wakati anahojiwa na mtu mmoja akampiga na humble pie..... yule mtu wakati anaenda kumpiga mudoch alisikika akisema...you greedy billionare eat this...akamrushia mapovu pwaaaaaaaa!!!! hahahaahahhhahah

 

[Rural Swagga]

Najua wanamahesabu mmenielewa namkaribisha yeyete achanganue hiyo maneno
pie=3.14

So Mdau/Nivea The thing here is: Why is pie equal to 3.14?
What a lovely question!
Actually pie value is not exactly 22/7 or 3.14 therefrom in decimal form.
When we draw a circle with certain radius and measure the circumference with some intelligent technique and get the ratio of the circumference to its diameter we will be getting a value in which there is no end of the decimal,,It would continue to any extent even with thousands of decimal places. And the beauty is it never ends.....Such an interesting value is got. That is pie. Some people have made Guinness record in writing those decimal values without any miss. Seems an Indian has succeeded in doing so.
In trigonometry this pie has got unit known to be radian. Just for convenience man has brought the degree concept for easy manipulation. So pie equals to 180 degree in trigonometry calcualtions.
.....Definitely. Without knowing math it's impossible to understand the world or universe#My Favorite Subject while in school#I llove it soooooooooooooo much#it's brain-storming.


NOTE:Math is fun when you know the formulas:yo:

 

[Nivea]

So Mdau/Nivea The thing here is: Why is pie equal to 3.14?
What a lovely question!
Actually pie value is not exactly 22/7 or 3.14 therefrom in decimal form.
When we draw a circle with certain radius and measure the circumference with some intelligent technique and get the ratio of the circumference to its diameter we will be getting a value in which there is no end of the decimal,,It would continue to any extent even with thousands of decimal places. And the beauty is it never ends.....Such an interesting value is got. That is pie. Some people have made Guinness record in writing those decimal values without any miss. Seems an Indian has succeeded in doing so.
In trigonometry this pie has got unit known to be radian. Just for convenience man has brought the degree concept for easy manipulation. So pie equals to 180 degree in trigonometry calcualtions.
.....Definitely. Without knowing math it's impossible to understand the world or universe#My Favorite Subject while in school#I llove it soooooooooooooo much#it's brain-storming.


NOTE:Math is fun when you know the formulas:yo:

BIG UP MKUU SAFI SANA SANA MKUU WANGU KEEP IT UP :rockon::rockon:

 

[Nivea]

Rural SwaggaRural Swagga KARIBU TENA NIMEONGEZA MAWAZO YA WANAMAHESABU WENGINE

 

[gfsonwin]

i love math, it gives me confidence all over.

chemsha bogo for chemist what volume of conc HCL will be required to produce 8% dil HCL solution??
given molarity of conc HCL is 37%.

naombeni majibuu

 

[Rural Swagga]

Rural SwaggaRural Swagga KARIBU TENA NIMEONGEZA MAWAZO YA WANAMAHESABU WENGINE

Ni Watanzania wachache sana wanapenda Mathematics,tho sifahamu kama wewe ni Mtanzania,Anyways ngoja nikudondoshee nondo nyingine uendelee ku-enjoy(unajua ndio tunasheherekea Pie Day hivi mdau)

[h=1]50 Interesting Facts About . . .Pi[/h]

1. Pi is the most recognized mathematical constant in the world. Scholars often consider Pi the most important and intriguing number in all of mathematics.
2. In the Star Trek episode "Wolf in the Fold," Spock foils the evil computer by commanding it to "compute to last digit the value of pi
3. Comedian John Evans once quipped: "What do you get if you divide the circumference of a jack-o'-lantern by its diameter? Pumpkin π.
4. Scientists in Carl Sagan's novel Contact are able to unravel enough of pi to find hidden messages from the creators of the human race, allowing humans to access deeper levels of universal awareness.
5. The symbol for pi (&#960😉 has been used regularly in its mathematical sense only for the past 250 years.
6. During the famed O.J. Simpson trial, there were arguments between defense attorney Robert Blasier and an FBI agent about the actual value of pi, seemingly to reveal flaws in the FBI agent's intellectual acumen.
7. A Givenchy men's cologne named Pi is marketed as highlighting the sexual appeal of intelligent and visionary men.
8. We can never truly measure the circumference or the area of a circle because we can never truly know the value of pi. Pi is an irrational number, meaning its digits go on forever in a seemingly random sequence.[SUP]f[/SUP]
9. Darren Aronofsky's fascinating movie π (Pi: Faith in Chaos) shows how the main character's attempt to find simple answers about pi (and, by extension, the universe) drives him mad. The film won the Directing Award at the 1988 Sundance Film Festival.
10. In the Greek alphabet, π (piwas) is the sixteenth letter. In the English alphabet, p is also the sixteenth letter.[SUP]d[/SUP]
11. The letter π is the first letter of the Greek word "periphery" and "perimeter." The symbol π in mathematics represents the ratio of a circle's circumference to its diameter. In other words, π is the number of times a circle's diameter will fit around its circumference.[SUP]a[/SUP]
12. Egyptologists and followers of mysticism have been fascinated for centuries by the fact that the Great Pyramid at Giza seems to approximate pi. The vertical height of the pyramid has the same relationship to the perimeter of its base as the radius of a circle has to its circumference.
13. The first 144 digits of pi add up to 666 (which many scholars say is "the mark of the Beast"). And 144 = (6+6) x (6+6).
14. If the circumference of the earth were calculated using π rounded to only the ninth decimal place, an error of no more than one quarter of an inch in 25,000 miles would result.[SUP]i[/SUP]
15. In 1995, Hiroyoki Gotu memorized 42,195 places of pi and is considered the current pi champion. Some scholars speculate that Japanese is better suited than other languages for memorizing sequences of numbers.
16. A mysterious 2008 crop circle in Britain shows a coded image representing the first 10 digits of pi.
17. Ludolph van Ceulen (1540-1610) spent most of his life calculating the first 36 digits of pi (which were named the Ludolphine Number). According to legend, these numbers were engraved on his now lost tombstone.[SUP]c[/SUP]
18. William Shanks (1812-1882) worked for years by hand to find the first 707 digits of pi. Unfortunately, he made a mistake after the 527th place and, consequently, the following digits were all wrong.[SUP]c[/SUP]
19. In 2002, a Japanese scientist found 1.24 trillion digits of pi using a powerful computer called the Hitachi SR 8000, breaking all previous records.[SUP]e[/SUP]
20. Pi is the secret code in Alfred Hitchcock's Torn Curtain and in The Net starring Sandra Bullock.[SUP]d[/SUP]
21. Since there are 360 degrees in a circle and pi is intimately connected with the circle, some mathematicians were delighted to discover that the number 360 is at the 359th digit position of pi.[SUP]d[/SUP]
22. Computing pi is a stress test for a computer-a kind of "digital cardiogram."[SUP]d[/SUP]
23. Umberto Eco's famed book Foucault's Pendulum associates the mysterious pendulum in the novel with the intrigue of pi.[SUP]d[/SUP]
24. Pi has been studied by the human race for almost 4,000 years. By 2000 B.C., Babylonians established the constant circle ratio as 3-1/8 or 3.125. The ancient Egyptians arrived at a slightly different value of 3-1/7 or 3.143.[SUP]a[/SUP]
25. One of the earliest known records of pi was written by an Egyptian scribe named Ahmes (c. 1650 B.C.) on what is now known as the Rhind Papyrus. He was off by less than 1% of the modern approximation of pi (3.141592).[SUP]l[/SUP]
26. The Rhind Papyrus was the first attempt to calculate pi by "squaring the circle," which is to measure the diameter of a circle by building a square inside the circle.[SUP]l[/SUP]
27. The "squaring the circle" method of understanding pi has fascinated mathematicians because traditionally the circle represents the infinite, immeasurable, and even spiritual world while the square represents the manifest, measurable, and comprehensive world.[SUP]e[/SUP]
28. In 1888, a Indiana country doctor named Edwin Goodwin claimed he had been "supernaturally taught" the exact measure of the circle and even had a bill proposed in the Indiana legislature that would copyright his mathematical findings. The bill never became law thanks to a mathematical professor in the legislature who pointed out that the method resulted in an incorrect value of pi.[SUP]d[/SUP]
29. The first million decimal places of pi consist of 99,959 zeros, 99,758 1s, 100,026 2s, 100,229 3s, 100,230 4s, 100,359 5s, 99,548 6s, 99,800 7s, 99,985 8s, and 100,106 9s.[SUP]a[/SUP]
30. "Pi Day" is celebrated on March 14 (which was chosen because it resembles 3.14). The official celebration begins at 1:59 p.m., to make an appropriate 3.14159 when combined with the date. Albert Einstein was born on Pi Day (3/14/1879) in Ulm Wurttemberg, Germany.[SUP]d[/SUP]
31. The Bible alludes to pi in 1 Kings 7:23 where it describes the altar inside Solomon's temple: "And he made a molten sea of ten cubits from brim to brim . . . and a line of thirty cubits did compass it round about." These measurements procure the following equation: 333/106 = 3.141509.[SUP]k[/SUP]
32. Pi was first rigorously calculated by one of the greatest mathematicians of the ancient world, Archimedes of Syracuse (287-212 B.C.). Archimedes was so engrossed in his work that he did not notice that Roman soldiers had taken the Greek city of Syracuse. When a Roman soldier approached him, he yelled in Greek "Do not touch my circles!" The Roman soldier simply cut off his head and went on his business.[SUP]f[/SUP]
33. A refined value of pi was obtained by the Chinese much earlier than in the West. The Chinese had two advantages over most of the world: they used decimal notations and they used a symbol for zero. European mathematicians would not use a symbolic zero until the late Middle Ages through contact with Indian and Arabic thinkers.[SUP]f[/SUP]
34. Al-Khwarizmi, who lived in Baghdad around A.D. 800, worked on a value of pi calculated to four digits: 3.1416. The term "algorithm" derives from his name, and his text Kitab al-Jabr wal-Muqabala (The Book of Completion Concerning Calculating by Transposition and Reduction) gives us the word "algebra" (from al-Jabr, which means "completion" or "restoration").[SUP]c[/SUP]
35. Ancient mathematicians tried to compute pi by inscribing polygons with more and more sides that would more closely approach the area of a circle. Archimedes used a 96-sided polygon. Chinese mathematicians Liu Hui inscribed a 192-sided polygon and then a 3,072-sided polygon to calculate pi to 3.14159. Tsu Ch'ung and his son inscribed polygons with as many as 24,576 sides to calculate pi (the result had only an 8-millionth of 1% difference from the now accepted value of pi).[SUP]f[/SUP]
36. William Jones (1675-1749) introduced the symbol "π" in the 1706, and it was later popularized by Leonhard Euler (1707-1783) in 1737.[SUP]c[/SUP]
37. The π symbol came into standard use in the 1700s, the Arabs invented the decimal system in A.D. 1000, and the equal sign (=) appeared in 1557.[SUP]e[/SUP]
38. Before the π symbol was used, mathematicians would describe pi in round-about ways such as "quantitas, in quam cum multipliectur diameter, proveniet circumferential," which means "the quantity which, when the diameter is multiplied by it, yields the circumference."[SUP]c[/SUP]
39. Leonardo da Vinci (1452-1519) and artist Albrecht Durer (1471-1528) both briefly worked on "squaring the circle," or approximating pi.[SUP]d[/SUP]
40. There are no occurrences of the sequence 123456 in the first million digits of pi-but of the eight 12345s that do occur, three are followed by another 5. The sequence 012345 occurs twice and, in both cases, it is followed by another 5.[SUP]i[/SUP]
41. Some scholars claim that humans are programmed to find patterns in the world because it's the only way we can give meaning to the world and ourselves. Hence, the obsessive search to find patterns in π.[SUP]e[/SUP]
42. The father of calculus (meaning "pebble used in counting" from calx or "limestone"), Isaac Newton calculated pi to at least 16 decimal places.[SUP]l[/SUP]
43. Pi is also referred to as the "circular constant," "Archimedes' constant," or "Ludolph's number."[SUP]d[/SUP]
44. In the seventeenth century, pi was freed from the circle and applied also to curves, such as arches and hypocycloids, when it was found that their areas could also be expressed in terms of pi. In the twentieth century, pi has been used in many areas, such as number theory, probability, and chaos theory.[SUP]a[/SUP]
45. The first six digits of pi (314159) appear in order at least six times among the first 10 million decimal places of pi.[SUP]i[/SUP]
46. Thirty-nine decimal places of pi suffice for computing the circumference of a circle girding the known universe with an error no greater than the radius of a hydrogen atom.[SUP]i[/SUP]
47. John Donne's (1572-1631) poem "Upon the Translations of the Psalms by Sir Philip Sidney, and the Countess of Pembroke, His Sister" condemns attempts to find an exact value of pi, or to "square a circle," which Donne views as an attempt to rationalize God:
    
    
    
    [FONT=Times New Roman, Times, serif] Eternal God-for whom who ever dare
    Seek new expressions, do the circle square,
    And thrust into straight corners of poor wit
    Thee, who art cornerless and infinite-[/FONT][SUP]k[/SUP]
48. Many mathematicians claim that it is more correct to say that a circle has an infinite number of corners than to view a circle as being cornerless.[SUP]e[/SUP]
49. Plato (427-348 B.C.) supposedly obtained for his day a fairly accurate value for pi: √2 + √3 = 3.146.[SUP]a[/SUP]
50. A Web site titled "The Pi-Search Page" finds a person's birthday and other well known numbers in the digits of pi.[SUP]j[/SUP]

[SUP]
SOURCE:[/SUP]http://facts.randomhistory.com/2009/07/03_pi.html
[h=1]

[/h] [h=1][/h]

 

[resh]

Napenda hesabu japo yenyewe hainipendi

 

[Rural Swagga]

i love math, it gives me confidence all over.

chemsha bogo for chemist what volume of conc HCL will be required to produce 8% dil HCL solution??
given molarity of conc HCL is 37%.

naombeni majibuu

Du hiyo kitu inahitaji equation ya hcl plus water ku produce dil hcl unaibalance hiyo equation then unaangalia moles ngapi za hcl conc zimetumika kuproduce hcl diluted then unatumia molarity=conc/molar mass kudadavua.Ngoja iam busy nitajitahidi kukumbuka concept mida then nitafanya.
Embu jaribu kutupia na kwa mheshimiwa Google mmh!! sema si rahisi sana kupata.

 

[gfsonwin]

Du hiyo kitu inahitaji equation ya hcl plus water ku produce dil hcl unaibalance hiyo equation then unaangalia moles ngapi za hcl conc zimetumika kuproduce hcl diluted then unatumia molarity=conc/molar mass kudadavua.Ngoja iam busy nitajitahidi kukumbuka concept mida then nitafanya.
Embu jaribu kutupia na kwa mheshimiwa Google mmh!! sema si rahisi sana kupata.

i have gone all that way nikakosa and nimekwenda kwa google bado sijapata na the most existing reference ambazo ni common ni kwa 97 &99% molarity ya conc acid.

anyways nimeifanya kwa kufactorize tu kwamba kama HCL ni 37 ina maana water is 63 ili kumake vol ya 100%
so niki dilute kwa 100 vol za maji napata 18.5 hcl na 81.5% za water.
niki dilute tena na 100 napata 9.25 hcl na 90.75%water
the diference btn 9.25 and 8% equals to 1.25. nikasema niki times 2 ni sawa na 2.5 so nikasema nikitumia 225ml of distilled water kwenye 100ml of hcl nitapata 8% dil soln.

sijui kama niko sawa as ubongo umegoma kabisa kuwaza na nimekuwa exhausted sana na haya makitu. ningefurah kama ningepata jibu mapema.

 

[The secretary]

i love math, it gives me confidence all over.

chemsha bogo for chemist what volume of conc HCL will be required to produce 8% dil HCL solution??
given molarity of conc HCL is 37%.

naombeni majibuu

simple: chukua 37-8% times Pie

 

[gfsonwin]

simple: chukua 37-8% times Pie

hahahahahahahahahaaaaaaaaaaaaa!

 

[JMWAKA]

kweli ni jambo la busara kuenzi vitu kama hivo vinatupa changamoto

 

[patience96]

Leo ni siku ya Pi duniani.

 

[Sangomwile]

i have gone all that way nikakosa and nimekwenda kwa google bado sijapata na the most existing reference ambazo ni common ni kwa 97 &99% molarity ya conc acid.

anyways nimeifanya kwa kufactorize tu kwamba kama HCL ni 37 ina maana water is 63 ili kumake vol ya 100%
so niki dilute kwa 100 vol za maji napata 18.5 hcl na 81.5% za water.
niki dilute tena na 100 napata 9.25 hcl na 90.75%water
the diference btn 9.25 and 8% equals to 1.25. nikasema niki times 2 ni sawa na 2.5 so nikasema nikitumia 225ml of distilled water kwenye 100ml of hcl nitapata 8% dil soln.

sijui kama niko sawa as ubongo umegoma kabisa kuwaza na nimekuwa exhausted sana na haya makitu. ningefurah kama ningepata jibu mapema.

Jambo husilolijua ni kama usiku wa giza,naona maluelue tu.

 

[Entuntumuki]

Jambo husilolijua ni kama usiku wa giza,naona maluelue tu.

Inaelekea Maths ilikuwa ikikugonga sana!