Week 1-2 Flashcards
Refers to the ratio of two consecutive fibonacci numbers
Golden ratio
What is the value of the golden ratio?
1.618
The rest below are names of the Golden Ratio
except…
-Golden mean
-Divine proportion
-Golden section
-Divine mean
Divine mean
What are the three characteristics of mathematical language?
-precise
-concise
-powerful
This characteristic of mathematical language refers to the ability to make very fine distinctions or definitions among a set of mathematical symbols
Precise
This characteristic of mathematical language refers to the ability to express otherwise long expositions or sentences briefly using the language of math
Concise
This characteristic of mathematical language refers to the ability to express complex thoughts with relative ease
Power
Mathematical object of interest
Expression
Must state a complete thought
Sentence
What are the objects we use in mathematics?
• Numbers
• Variables
• Operations
• Sets
• Functions
This includes a correct arrangement of mathematical symbols used to represent a mathematical object
Expression
What are the other names of expressions?
• Ordered pair
• Function
• Set
A mathematical sentence must state a (1)_____. It may be either true, false, and sometimes true/sometimes false. But (2)__________.
- Complete thought
- Never both
Used for counting
Cardinal numbers
Tells the position of a thing in the list
Ordinal
Used only as a name for identification
Nominal
Takes two real numbers as arguments to produce another real number
Binary operation
What are the six properties of binary operations
- Closure
- Commutativity
- Associativity
- Distributivity
- Identity
- Inverse
Property of binary operations where the product and sum of any two R is also R
Closure of Binary Operation
Property of binary operations where the order of variables are changed
Commutativity
Property of binary operations where the change is by the order of the grouo, not the order of the variables
Associativity
Property of binary operations where basta ga distribute ah tuyo nako ya shet
Distributivity
Property of binary operations where an empty set with a binary operation is said to have an identity
Identity
Property of binary operations where it adds a negative on itself
Inverse
This is used to describe the variable(s) in a statement
Quantifiers
What are the two types of quantifiers
Universal and Existential
For every
Universal
For some/ there exist
Existential
More than one quantifier is used for a certain statement
Compound quantifiers
Rules for compound quantifiers
- Order doesn’t matter if same quantifier is used
- Order is important for mixed quantifiers
