Is the Fi in Fibonnacci from Fi the Greek letter used to represent the ratio of the golden mean?
200217
He didn't. It was a nickname. It means filius Bonacci, son of Bonacci. Like we would say Johnson or Robinson. Or in Iceland they would say Robertsdottir for Robert's daughter.\n\nHe never used the name himself. He was known as Leonardo of Pisa, or Latinising it, Leonardo Pisano. He sometimes referred to himself as Leonardo Bigollo as in Tuscany Bigollo means a traveller.
503137
21, 34  Yes it's called the Fibonacci series.  Each number is the sum of the previous two.\n\nWhat I don't understand is as a result of asking a valid question to expand your knowledge, so many people gave you such rude replys.\n\nI hope this helps, have a good day.
503934
The notation 's', 'p', 'd', and 'f' originate from a now-discredited system of categorizing spectral lines.\n\ns= sharp\np= principal\nd= diffuse\nf= fundamental
601173
What everyone has said is correct, but look at it this way: Consider a square. We know from the theorem of pythagoras that the ratio of the hypotenuese to the length of one side = sqrt(2) or, if you like, the ratio of one side to the hypotenuese = 1/sqrt(2). These constant ratios are independent of the size of the square. We have the ratio of the perimeter of the square to the hypotenuese = 4/sqrt(2) = 2*sqrt(2), which is independent of the size of the square.  Similarly the ratio of the circumference of a given circle to the longest chord(the diameter) has an exact value, and similarly this value is independent of the size of the circle. As has been mentioned, for any regular n-gon(square, pentagon, hexagon etc) the ratio of the perimeter to the length of the longest line segment that can be drawn within the n-gon will have a specific value depending on n, and this value can be determined. As we let n approach infinity, the n-gon approaches a circle and the ratio of the perimeter of the n-gon to the longest "chord" approaches a specific limit and this limit is pi, the ratio of the circumference to the diameter.  And, as mentioned above, analytic techniques can (and have) determined the value of the constant pi to a trillion or so digits.\n\nFootnote: SK, determining the limit of a series or even that the limit exists does not necessarily require calculus.\nFor example, the sum of a geometric series such as Sum[1/(2^n)] = 1/2 + 1/4 + 1/8+....+1/2^n is proved without calculus to be 1- 1/2^n and the limit of it (without calculus) as n---> inf. = 1. Check out the below link regarding pi.\n\n http://mathworld.wolfram.com/ArchimedesAlgorithm.html
581845
The Golden Ratio is approximately 1 to Phi (approx 1.618) or 0.618 to 1 (mathematically both are the same). Basically it's the ratio you get when you a divide a line AC such that AB/BC = BC/AC.\n\nAre you familiar with the Fibonacci sequence? Each number is the sum of the two preceding numbers:\n1 + 1 = 2\n2 + 1 = 3\n3 + 2 = 5\n5 + 3 = 8\n8 + 5 = 13\nand so on. So the sequence runs: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc. \n\nIf you take any number in the sequence and divide by the preceding number you get a number close to Phi (approx 1.618).\n89/55, for example, is 1.6181818181818...\n\nThe higher you go up the sequence, the closer you get to an accurate Golden Ratio.\n\nThe ratio appears frequently in nature (for example, the ratio of your forearm to your upper arm is about 1 : 1.618), and because of it's aesthetic appeal it has also used frequently artists and architects throughout history. The pyramids and the parthenon use the Golden Ratio.
455339
You know Fibonacii number, well , it starts from 0,1. The nexst neumber is the sum 0f its previous two. So the third number in this series would be 0+1==, the fourth number would be 1+1=2,the next would be 2+1=3, next one 3+2=5, next 5+3=8 and so on. It looks like 0,1,1,2,3,5,8,13,21.....................and so on. The ratio of its any term to its previous term continuously increases. The limit of this ratio as we move along the series to infinity becomes close to 1.6 something. This is golden ratio and the symbol given to it is phi. This is the most beautiful number in nature. In a large beehive, the ratio of females to males is phi. ( So is the ratio of total population to the number of females; prove).The ratio of length from waistline to the top of a human being to the length from waistline to bottom closely approximates to phi ; as well as its total height to the length from waist to top. The ratio appears in sunflower head as rario of two types of florets. It appears aboundantly in nature in circumstances where a system has natural healthy growth. The ratio finds itself in all sorts of arts forms. tons of books have been written on it. yoou can get very interesting links in google search\nHave a nice time.
496766
The expression is actually (a + b) /a = a / b,\nnot forgetting the brackets.\nThis gives : 1 + b / a = a / b\n\n'b' is usually given the value of 1.\nSo, 1 + b / a = a / b becomes 1 + 1 / a = a\n\nNow multiply through by a to get : a + 1 = a^2.\nRearranging gives : a^2 - a - 1 = 0\n\nThis is a quadratic equation, which can be\nsolved by using the quadratic formula.\n\nThus, a = {1 ± sqrt[1^2 - 4(1)(-1)]} / (2*1)\n\n= [1 ± sqrt(5)] / 2\n\nThe larger value, [1 + sqrt(5)] / 2,\nnot forgetting the brackets again,\nis usually given as the value of the golden ratio.
83195
So you don't have to click:\n\nPhi (upper case Φ or Φ; lower case φ, φ, φ or ) is the 21st letter of the Greek alphabet. In modern Greek it is pronounced fee, but a common anglicized pronunciation is fie. In modern Greek, it represents [f], a voiceless labiodental fricative. In Ancient Greek it represented [pʰ], an aspirated voiceless bilabial plosive. In the system of Greek numerals it has a value of 500.\n\nThe lower-case letter φ (or often its variant, φ) is used as a symbol for:\n\nThe golden ratio 1.618... in mathematics, art, and architecture. \nEuler's totient function in number theory. Also called Euler's phi function, φ(n) \nThe argument of a complex number in mathematics. \nThe value of a plane angle in physics and mathematics. \nElectric potential in physics. \nThe work function in electronics. \nThe phase of a wave in signal processing. \nIn spherical coordinates phi is usually used to represent the angle to the z axis. \nAny function in mathematics. \nThe upper-case letter Φ is used as a symbol for;\n\nIn engineering, the diameter symbol  is often referred to as "phi". This symbol is used to indicate the diameter of a circular section, for example 14 means the diameter of the circle is 14 units. \nIn structural engineering, Φ is notation for a strength (or resistance) reduction factor, used to account for statistical variabilities in materials and construction methods. \nThe magnetic flux in physics. \nThe Cumulative Normal Distribution function in statistics.
185867
Just remember SOH-CAH-TOA\nSine-opposite over hypotenuse\nCosine-adjacent over hypotenuse\nTangent-opposite over adjacent
22590
You sure it was not a "sigma"?\nIf so, it is a capital sigma, which looks like a pointy capital letter E.\nIn math, it means to sum (add) all components is has along with it.\n\nCheck out the link below.  It shows the sigma used twice in a word.
478127
I assume that's suppose to be an integral symbol.\n\nf(x) = [1/2 t²] from 2 to x, or 1/2 x² - 1\n\nThen f'(x) = x, and f''(x) = 1.\n\nDidn't really need to do the integration...
48056
It's all about the Golden Ratio.\n\nhttp://cuip.uchicago.edu/~dlnarain/golden/activity3.htm
101831
Bottom line: pi is the ratio between the circumference and the diameter of a circle.\n\nAn infinite sum is one way of approximating pi: just add up lots and lots of the elements in the sum, and you get there eventually.  The infinite sum itself, of course, is pi with utter precision.\n\nThere is a trick (read about it in Science News) where you can compute a specific hexidecimal digit of pi, say the 10948573929384756th digit, without computing any others.  Cute, not useful to me.\n\nThe trick that is used most was developed by Srinvasa Ramanujan, an incredibly brilliant, mostly self-taught mathematician from India.  He developed a recursive formula that converges to pi.  Each iteration roughly doubles the number of decimal digits precision of pi in the answer.  I am given to understand that this is the tool used to do many of the "record breaking length" calculations of pi.  A Google search should dig it up.  I'd dig it up, but I can't find my translation of his notebooks...\n\nYou might want to look up the Buffon's Needle problem in a good book on probability theory...  It is a wonderful, stochastic, computation of the value of pi.  It's also slower than slow to converge...  But FUN to a math freak!
134156
FELIX??\nFE as in iron and LIX= 59 (roman numericals)?? \ni dont know .. i m so dumb today !
10872
It is called a caret.  You can use it to indicate an exponent or a superscript if the software you are using does not have the ability to make superscripts. \nEx: E=mc^2 (Einstein's famous equation relating mass and energy)
9989
The origin is in the Latin word libra, which could mean both balance scales (hence the symbol for the astrological sign Libra, which was named after a constellation that was thought to resemble scales) and also a pound weight, for which the full expression was libra pondo, the second word being the origin of our pound.
529397
Well, i think there would be no better answer for this question except for a. The function void fibon3(int Number, int& Fib) should accept 2 parameters, and return nothing as the type is void. the first parameter, is an integer number, a single unit(not a sequence) and the second one is the reference to the integer type (as used as a return data). The option a said it takes Number, which is usually declared int and would return Fib, which also usually declared int, so i think this is probably the match.