Mathematics in the Modern World

Statistics

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

discernible regularity

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

mathematical concept

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

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.

parameter

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

Fracture

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

sinuous curves

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

symbol ∈

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

Ancient Greeks

It is used extensively by ________ in architecture.

Mathematical thinking

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

Datum

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

Math

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

Multiply

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

abstract shapes

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

data set

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

British mathematician

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

fibonacci sequence

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

Normal

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

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.

1870s

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

Mathematical processes

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

Mathematics

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

Any mathematical relationship

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

circles

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

happens

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

sample statistic

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

series of experiments

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

original scores

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

Fibonacci numbers

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

mathematical expression

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

U

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

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.

Mathematics

________ is the science of patterns and relationships.

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.

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.

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.

Fracture or a solid

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

Normal tensile crack/simply a crack 

A displacement develops perpendicular to the surface of displacement

Shear crack 

Displacement develops tangentially to the surface of displacement

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

The fibonacci sequence is the series of numbers

0,1,1,2,3,5,13,21,34…

Example

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

Example

The long English sentence can be shortened using mathematical symbols

Example

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

It is denoted as A

B

Independent Variable 

The variable that is systematically manipulated by the investigator

Dependent Variable 

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