Mathematics in the Modern World

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1

Statistics

________ are usually derived from measurements of the individuals in the sample.

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2

discernible regularity

Is a(n) ________ in the world or in a man- made design.

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3

mathematical concept

A(n) ________ is independent of the symbol chosen to represent it.

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4

U

The union of A and B is the set of all elements in x in ________ such that x is in A or x is in B.

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5

parameter

A(n) ________ is usually derived from measurements of the individuals in the population.

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6

Fracture

________ or a solid- usually occurs due to the development of certain displacement discontinuity surfaces within the solid.

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7

sinuous curves

One of a series of regular ________, bends, loops turns, or windings in the channel of a river, stream, or other water courses.

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8

symbol ∈

The ________ is used to denote that an object is an element of a set.

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9

Ancient Greeks

It is used extensively by ________ in architecture.

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10

Mathematical thinking

________ often begins with the process of abstraction (noticing a similarity between two or more objects or events .)

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11

Datum

A(n) ________ is a single measurement of observation and is commonly called a score or raw score.

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12

Math

________ is a subject that makes students either jump for joy or rip their hair out.

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13

Multiply

________ or divide whichever comes first, from left to right.

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14

abstract shapes

Deals with a motif or design that depicts ________, like lines, polygons, and circles, and typically repeats like a wallpaper.

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15

data set

A(n) ________ is a collection of measurements or observations.

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16

British mathematician

A(n) ________ who characterised mathematics as the study of patterns.

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17

fibonacci sequence

The ________ is the series of numbers: 0, 1, 1, 2, 3, 5, 13, 21, 34….

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18

Normal

________ tensile crack /simply a crack- A displacement develops perpendicular to the surface of displacement.

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19

theoretical discipline

As a(n) ________, mathematics explores the possible relationships among abstractions without concern for whether those abstractions (can be anything) have counterparts in the real world.

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20

1870s

It became a fundamental theory in mathematics in the ________ which was introduced by Georg Cantor, a German Mathematician.

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21

Mathematical processes

________ can lead to a kind of model of a thing, from which insights can be gained about the thing itself.

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22

Mathematics

________ is appreciated as a human endeavor because all professionals and ordinary people apply its theories and concepts in the office, laboratory, and marketplace.

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23

Any mathematical relationship

________ arrived at by manipulating abstract statements may or may not convey something truthful about the thing being modeled.

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24

circles

A diagram with any ________, or overlapping circles to express logical relationships between sets.

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25

happens

Counting ________ when there are patterns and logic happens when there is counting.

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26

sample statistic

Naturally occurring discrepancy, or error, that exists between a(n) ________ and the corresponding population parameter.

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27

series of experiments

A system used to gather data from the results of a(n) ________ on some controlled and experimental variables.

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28

original scores

The data as originally measured are often referred to as raw or ________.

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29

Fibonacci numbers

________ can be represented as spirals also known as Fibonacci spirals.

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30

mathematical expression

An expression or ________ is a finite combination of symbols that is well- defined according to rules that depend on the context.

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31

U

The complement of A is the set of all elements x in ________ such that x is not in A.

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32

Statistics

________ help the researcher to answer the questions that initiated the research by determining exactly what general conclusions are justified based on the specific results that were obtained.

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33

Mathematics

________ is the science of patterns and relationships.

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34

U

The intersection of A and B is the set of all elements X in ________ such that x is in A and x is in B.

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35

Statistics

________ are used to organize and summarize the information so that the researchers can see what happened in the research study and can communicate the results to others.

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36

U

Difference between A and B is the set of elements x in ________ such that x is in A and x is not in B.

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37

Fracture or a solid

usually occurs due to the development of certain displacement discontinuity surfaces within the solid

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38

Normal tensile crack/simply a crack

A displacement develops perpendicular to the surface of displacement

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39

Shear crack

Displacement develops tangentially to the surface of displacement

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40

Deals with the prediction of the next term in a sequence Working with number patterns leads directly to the concept of functions in mathematics

A formal description of the relationships among different quantities

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41

The fibonacci sequence is the series of numbers

0,1,1,2,3,5,13,21,34…

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42

Example

The use of mathematical symbols is only based on its meaning and purpose

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43

Example

The long English sentence can be shortened using mathematical symbols

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44

Example

The application of critical thinking and problem solving skills requires the comprehension, analysis, and reasoning to obtain the correct solution

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45

It is denoted as A

B

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46

Independent Variable

The variable that is systematically manipulated by the investigator

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47

Dependent Variable

Variab;e that the investigator measures to determine the effect of the independent variable

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