Figure 1: Recognizing the pattern of the "rabbit problem". If we were to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this sequence is represented as: The Fibonacci sequence has a plethora of applications in art and in nature. One frequent finding in nature involves the use of an even more powerful
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Graham’s number‚ named after Ronald Graham‚ is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. The number gained a degree of popular attention when Martin Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ... a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof." The 1980 Guinness
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Oxidation Number When elements combine to produce a compound‚ each element is assigned an “apparent” charge. This apparent charge‚ the charge an atom would have if both electrons in each bond were assigned to the more electronegative element‚ may be positive or negative. It is called the oxidation number or state of the element in the compound. Oxidation numbers are very useful in keeping track of what happens to electrons when various elements combine to form compounds. By remembering a few
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OVERVIEW INDEX NUMBERS compare figures which show changes in a given variable. The most common variables used in index numbers are price and quantity. By getting the difference of the index numbers‚ we are able to determine the relative or percent change in the price or quantity of a commodity between two periods of time or two localities. Among the more commonly used index numbers are the consumer price index‚ retail price index‚ wholesale price index‚ and the cost-of-living index. DEFINITION
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would be without irrational numbers? If the great Pythagorean hyppasus or any other mathematician would have not ever thought of such numbers? Before ‚understanding the development of irrational numbers ‚we should understand what these numbers originally are and who discovered them? In mathematics‚ an irrational number is any real number that cannot be expressed as a ratio a/b‚ where a and b are integers and b is non-zero. Irrational numbers are those real numbers that cannot be represented as
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Brandee English 111 October 8‚ 2012 Strength in Numbers “Hi. I’m Jordan and I’m an addict slash abuser‚ I guess.” I watch my son shrug his shoulders and hunch over‚ clasping his hands in his lap after uttering these words. He speaks the words quietly‚ but his apathetic tone and body language read loud and clear. He doesn’t believe the words he’s saying and is merely being cooperative. After a loud and cheerful “Hello Jordan!” the group turns their attention to me. “Hi. I’m Brandee‚ and I’m
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Find The nth Term Of The Bell Numbers Abstract A pattern was discovered when elements in a set were rearranged as many ways as possible without repeating. This pattern is a sequence of numbers called Bell Numbers. In combinatorial mathematics‚ which is said to be the mathematics of the finite‚ the nth Bell number is the number of partitions of a set with n members. This find the number of different ways an element or
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RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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Real Numbers -Real Numbers are every number. -Therefore‚ any number that you can find on the number line. -Real Numbers have two categories‚ rational and irrational. Rational Numbers -Any number that can be expressed as a repeating or terminating decimal is classified as a rational number Examples of Rational Numbers 6 is a rational number because it can be expressed as 6.0 and therefore it is a terminating decimal. -7 ½ is a rational number because it can be expressed as -7.5 which is a
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UNIVERSAL VIRTUAL CONTENT ACADEMY (UVC) CPA PAPER 5 Index numbers By the end of topic‚ participants should be able to; 1. Appreciate the usefulness of index numbers in monitoring changes over time 1. Calculate simple indices 2. Determine simple aggregate price indices 3. Use laspeyre’s and Paashe’s price indices to determine weighted indices. What is an index number? An index number is a statistical measure designed to show/ monitor changes over a period of time in the price‚ quantity
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