Perfect numbers Mathematicians have been fascinated for millenniums by the properties and patterns of numbers. They have noticed that some numbers are equal to the sum of all of their factors (not including the number itself). Such numbers are called perfect numbers. A perfect number is a whole number‚ an integer greater than zero and is the sum of its proper positive devisors‚ that is‚ the sum of the positive divisors excluding the number itself. Equivalently‚ a perfect number is a number that is
Premium Prime number Number theory Mathematics
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Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ...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
Premium
ABSTRACT Reynolds number can be defined as a number of varieties of situations where a fluid is in relative with motion to a surface. This experiment is to observe the behavior of the flow of fluid either it is laminar or turbulent by calculating it’s Reynolds number and the characteristic of the flow. Other than that‚ the range for laminar and turbulent flow can be calculated and the theory that Reynolds number is dimensionless can be proven. The pump is opened to let the water flow. The dye
Premium Reynolds number Fluid dynamics Viscosity
Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
Premium Sequence Natural number Mathematics
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
Premium Golden ratio Fibonacci number
------------------------------------------------- 1 (number) 1 | −1 0 1 2 3 4 5 6 7 8 9 →List of numbers — Integers0 10 20 30 40 50 60 70 80 90 → | Cardinal | 1 one | Ordinal | 1st first | Numeral system | unary | Factorization | | Divisors | 1 | Greek numeral | α’ | Roman numeral | I | Roman numeral (Unicode) | Ⅰ‚ ⅰ | Persian | ١ - یک | Arabic | ١ | Ge’ez | ፩ | Bengali | ১ | Chinese numeral | 一，弌，壹 | Korean | 일‚ 하나 | Devanāgarī | १ | Telugu | ೧ | Tamil |
Premium Prime number Natural number Number
Introduction: Whole Number is very important in the career of Medical Billing and Coding. It is the building blocks of mathematics. Working with whole numbers help you when are adding and subtracting hundreds and thousands of dollars. Then you might have to round up numbers when you are counting money. Multiplying whole numbers are very important‚ it is a repeating of addition. You have to budget Money. Dividing whole number comes when you are multiplying whole numbers II. Body: A. Whole Numbers 1. Place
Premium Physician Number Real number
3 1) Number Properties i) Integers Numbers‚ such as -1‚ 0‚ 1‚ 2‚ and 3‚ that have no fractional part. Integers include the counting numbers (1‚ 2‚ 3‚ …)‚ their negative counterparts (-1‚ -2‚ -3‚ …)‚ and 0. ii) Whole & Natural Numbers The terms from 0‚1‚2‚3‚….. are known as Whole numbers. Natural numbers do not include 0. iii) Factors Positive integers that divide evenly into an integer. Factors are equal to or smaller than the integer in question. 12 is a factor of 12‚ as are 1‚ 2
Premium Number Integer Mathematics
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
Premium Real number
Real number In mathematics‚ a real number is a value that represents a quantity along a continuum‚ such as 5 (an integer)‚ 3/4 (a rational number that is not an integer)‚ 8.6 (a rational number expressed in decimal representation)‚ and π (3.1415926535...‚ an irrational number). As a subset of the real numbers‚ the integers‚ such as 5‚ express discrete rather than continuous quantities. Complex numbers include real numbers as a special case. Real numbers can be divided into rational numbers‚ such
Premium Real number Mathematics