# Math in the Modern World

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Math in the Modern World

## 1. Nature and Art

1.1.1. Texture

1.1.2. Rhythm

1.1.3. Movement

1.1.4. Flow

1.1.5. Visual

1.1.6. Geometry

### 1.2. Symmetry

1.2.1. Bilateral

1.2.2. Reflection

1.2.3. Translation

1.2.4. Rotation

### 1.3. Sequence

1.3.1. Fibonacci

1.3.1.1. Golden Ratio

1.3.1.2. Golden Rectangle

1.3.1.3. Golden Spiral

1.3.2. Geometric

1.3.3. Arithmetic

1.3.4. Harmonic

## 2. Real World Application

### 2.1. Finance

2.1.1. Mutual Funds

2.1.1.1. Stocks

2.1.1.2. Bonds

2.1.2. Interest

2.1.2.1. Simple

2.1.2.2. Compound

### 2.2. International Standard Book Number

2.2.1. 13-digit number

### 2.3. Universal Product Code

2.3.1. 12-digit number

## 3. Language

### 3.2. Concise

3.2.1. Modular Arithmetic

3.2.2. Ordered Pairs

3.2.2.1. Function

3.2.2.1.1. Sum

3.2.2.1.2. Difference

3.2.2.1.3. Product

3.2.2.1.4. Quotient

3.2.2.1.5. Composite

3.2.2.2. Relation

3.2.2.2.1. No two ordered pairs

3.2.3. Sets

3.2.3.1. Subsets

3.2.3.1.1. Proper Subset

3.2.3.1.2. Empty Set

3.2.3.2. Operation

3.2.3.2.1. Universal

3.2.3.2.2. Union

3.2.3.2.3. Intersection

3.2.3.2.4. Complement

3.2.3.2.5. DIfference

3.2.4. Binary

3.2.4.1. Closure

3.2.4.2. Commutative

3.2.4.3. Associative

3.2.4.4. Identity

3.2.4.5. Inverse

### 3.3. Powerful

3.3.1. Equation

3.3.1.1. Constant

3.3.1.2. Term

3.3.1.3. Expression

3.3.1.4. Variable

## 4. Thinking

### 4.1. Logic

4.1.1. Conjunction

4.1.2. Disconjunction

4.1.3. Negation

4.1.4. Conditional

4.1.5. Biconditional

### 4.2. Reasoning

4.2.1. Inductive

4.2.1.1. Specific to General

4.2.2. Deductive

4.2.2.1. General to Specific

## 5. Problem Solving Tools

### 5.1. Polya's Problem Solving

5.1.1. Understand the Problem

5.1.2. Devise a Plan

5.1.3. Carry out Plan

5.1.4. Look back and Reflect

## 6. Statistic

### 6.1. Statistic

6.1.1. Data

6.1.1.1. Collection

6.1.1.1.1. Interview

6.1.1.1.2. Questionnaire

6.1.1.1.3. Observation

6.1.1.1.4. Registration

6.1.1.1.5. Experimentation

6.1.1.2. Presentation

6.1.1.2.1. Textual

6.1.1.2.2. Tabular

6.1.1.2.3. Graphical

6.1.1.3. Measures

6.1.1.3.1. Central Tendency

6.1.1.3.2. Position

6.1.1.3.3. Correlation

6.1.1.3.4. Variability

### 6.2. Statistics

6.2.1. Parameter

6.2.2. Sample

6.2.2.1. Descriptive

6.2.2.1.1. Qualitative

6.2.2.1.2. Quantitative

6.2.2.2. Inferential

6.2.2.3. Slovin's Formula

6.2.2.4. Technique

6.2.2.4.1. Non-Probability

6.2.2.4.2. Probability