9 résultats pour "numerical"
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Statistics
I
INTRODUCTION
Statistics, branch of mathematics that deals with the collection, organization, and analysis of numerical data and with such problems as experiment design and decision
making.
frequency, column (d), is the ratio of the frequency of an interval to the total count; the relative frequency is multiplied by 100 to obtain the percent relative frequency.The cumulative frequency, column (e), represents the number of students receiving grades equal to or less than the range in each succeeding interval; thus, thenumber of students with grades of 30 or less is obtained by adding the frequencies in column (c) for the first three intervals, which total 53. The cumulative relativef...
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Statistics
I
INTRODUCTION
Statistics, branch of mathematics that deals with the collection, organization, and analysis of numerical data and with such problems as experiment design and decision
making.
Professional pollsters typically conduct their surveys among sample populations of 1,000 people. Statistical measurementsshow that reductions in the margin of error flatten out considerably after the sample size reaches 1,000.© Microsoft Corporation. All Rights Reserved. The raw materials of statistics are sets of numbers obtained from enumerations or measurements. In collecting statistical data, adequate precautions must be taken tosecure complete and accurate information. The first problem of...
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Computer Science.
theoretical research is called algorithmic complexity. Computer scientists in this field seek to develop techniques for determining the inherent efficiency of algorithmswith respect to one another. Another area of theoretical research called computability theory seeks to identify the inherent limits of computation. Software engineers use programming languages to communicate algorithms to a computer. Natural languages such as English are ambiguous—meaning that theirgrammatical structure and vocab...
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Geology.
terminology. Today the geologic time scale is generally agreed upon and used by scientists around the world, dividing time into eons, eras, periods, and epochs. Everyfew years, the numerical time scale is refined based on new evidence, and geologists publish an update. Geologists use several methods to determine geologic time. These methods include physical stratigraphy, or the placement of events in the order of their occurrence,and biostratigraphy, which uses fossils to determine geologic time...
- Mathematical Symbols I INTRODUCTION Mathematical Symbols Mathematics employs many symbols to describe numerical operations and relationships.
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Brandenburg Technical University Cottbus
Department 1, Institute of Mathematics
Chair for Numerical Mathematics an Scientific Computing
Prof.
) 1 = 1 ; 2= 3 = 2i Eigenvectors: 0 @ 1 1 1 0 1 5 0 1 1 1 A ~x= ~ 0 1 = 1: 0 @ 0 1 1 0 0 5 0 1 2 1 A ; ~x =t(1 ;0 ;0) T 1 = 2 i: 0 @ 1 2i 1 1 0 1 2i 5 0 1 1 2i 1 A ~x= ~ 0 0 @ 1 2i 1 1 0 1 1 2i 0 0 0 1 A ~x= ~ 0 ; ~x = 2i 1 2i; 1 2i; 1 T 1 = 2i: 0 @ 1 + 2 i 1 1 0 1 + 2 i5 0 1 1 + 2 i1 A ~x= ~ 0 0 @ 1 + 2 i1 1 0 1 1 + 2 i 0 0 0 1 A ~x= ~ 0 ; ~x = 2i 1 + 2 i; 1 + 2 i;1 T H 13.3: det(A E ) = det 1 1 1 3 = (1 )(3 ) 1 = 2 4 + 2 : Eigenvalues: 1= 2 = 2 p 2 E...
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Algebra
I
INTRODUCTION
Algebra, branch of mathematics in which symbols (usually letters) represent unknown numbers in mathematical equations.
B Order of Operations and Grouping Algebra relies on an established sequence for performing arithmetic operations. This ensures that everyone who executes a string of operations arrives at the sameanswer. Multiplication is performed first, then division, followed by addition, then subtraction. For example: 1 + 2 · 3 equals 7 because 2 and 3 are multiplied first and then added to 1. Exponents and roots have even higher priority than multiplication: 3 · 2 2 = 3 · 4 = 12 Grouping symbols override...
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Trigonometry
I
INTRODUCTION
Trigonometry, branch of mathematics that deals with the relationships between the sides and angles of triangles and with the properties and applications of the
trigonometric functions of angles.
If point P, in the definition of the general trigonometric function, is on the y-axis, x is 0; therefore, because division by zero is inadmissible in mathematics, the tangent and secant of such angles as 90°, 270°, and -270° do not exist. If P is on the x-axis, y is 0; in this case, the cotangent and cosecant of such angles as 0°, 180°, and - 180° do not exist. All angles have sines and cosines, because r is never equal to 0. Since r is greater than or equal to x or y, the values of si...
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Puzzle.
Visual puzzles involve searching a picture to find hidden or disguised figures or answering a question about some part of a visual illusion. For instance, the popular 19th- century prints of American lithographic company Currier & Ives featured hidden people, animals, and other objects. A 16th-century painting from Bukhara, Uzbekistan,of a camel includes hidden figures of 17 people, 10 rabbits, a monkey, and a dragon (Metropolitan Museum of Art, New York City). B Mathematical Puzzles and Logic...