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Math In The Modern World > Week 1-2 > Flashcards

Week 1-2 Flashcards

1
Q

Refers to the ratio of two consecutive fibonacci numbers

A

Golden ratio

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2
Q

What is the value of the golden ratio?

A

1.618

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3
Q

The rest below are names of the Golden Ratio
except…
-Golden mean
-Divine proportion
-Golden section
-Divine mean

A

Divine mean

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4
Q

What are the three characteristics of mathematical language?

A

-precise
-concise
-powerful

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5
Q

This characteristic of mathematical language refers to the ability to make very fine distinctions or definitions among a set of mathematical symbols

A

Precise

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6
Q

This characteristic of mathematical language refers to the ability to express otherwise long expositions or sentences briefly using the language of math

A

Concise

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7
Q

This characteristic of mathematical language refers to the ability to express complex thoughts with relative ease

A

Power

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8
Q

Mathematical object of interest

A

Expression

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9
Q

Must state a complete thought

A

Sentence

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10
Q

What are the objects we use in mathematics?

A

• Numbers
• Variables
• Operations
• Sets
• Functions

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11
Q

This includes a correct arrangement of mathematical symbols used to represent a mathematical object

A

Expression

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12
Q

What are the other names of expressions?

A

• Ordered pair
• Function
• Set

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13
Q

A mathematical sentence must state a (1)_____. It may be either true, false, and sometimes true/sometimes false. But (2)__________.

A
  1. Complete thought
  2. Never both
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14
Q

Used for counting

A

Cardinal numbers

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15
Q

Tells the position of a thing in the list

A

Ordinal

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16
Q

Used only as a name for identification

A

Nominal

17
Q

Takes two real numbers as arguments to produce another real number

A

Binary operation

18
Q

What are the six properties of binary operations

A
  1. Closure
  2. Commutativity
  3. Associativity
  4. Distributivity
  5. Identity
  6. Inverse
19
Q

Property of binary operations where the product and sum of any two R is also R

A

Closure of Binary Operation

20
Q

Property of binary operations where the order of variables are changed

A

Commutativity

21
Q

Property of binary operations where the change is by the order of the grouo, not the order of the variables

A

Associativity

22
Q

Property of binary operations where basta ga distribute ah tuyo nako ya shet

A

Distributivity

23
Q

Property of binary operations where an empty set with a binary operation is said to have an identity

A

Identity

24
Q

Property of binary operations where it adds a negative on itself

A

Inverse

25
Q

This is used to describe the variable(s) in a statement

A

Quantifiers

26
Q

What are the two types of quantifiers

A

Universal and Existential

27
Q

For every

A

Universal

28
Q

For some/ there exist

A

Existential

29
Q

More than one quantifier is used for a certain statement

A

Compound quantifiers

30
Q

Rules for compound quantifiers

A
  1. Order doesn’t matter if same quantifier is used
  2. Order is important for mixed quantifiers

Math In The Modern World (4 decks)

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