basta Math Flashcards

(68 cards)

1
Q

Reacurring sequences or arrangements that can be observed in nature, art, and math

A

Patterns

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2
Q

Series of numbers where each number is the sum of the 2 proceedings ones
(Pines cones, petals)

A

Fibonacci sequence

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3
Q

Golden ratio

A

1.618

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4
Q

Complex geometric shapes that exhibit self-similarity of different scales
Created through repetition of a simple pattern equation

A

Fractals

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5
Q

Golden ratio is also known as

A

Divine proportion

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6
Q

Represented by the greek letter phi

A

Golden ratio

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7
Q

Fundamental concept in patterns and number, balanced arrangements of elements that can be divided into equal or mirrored parts

A

Symmetry

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8
Q

Greater than 1 that have no divisor other than 1 and themselves
1,3,5

A

Prime numbers

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9
Q

Triangle arrangement of numbers where each number is the sum of the 2 numbers directly above it

A

Pascal’s triangle (Blaise Pascal)

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10
Q

Logarithmic spiral that expands by a factor of the golden ratio for every quarter turn it make.
(seashell)

A

Golden Spiral

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11
Q

analyze situations, identify patterns, find logical solutions

A

problem solving

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12
Q

finance, economic, statistics, scientific research

A

Quantitative reasoning

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13
Q

concept of like budgeting, solving interest, dept

A

financial literacy

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14
Q

field like law, philosophy, computer science

A

logical reasoning

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15
Q

very fine distinctions among math objects

A

precise

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16
Q

make use of symbols to convey ideas, words into few symbols

A

concise

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17
Q

express ideas that allow solution of even a complex problem doable

A

powerful

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18
Q

an operation used on single terms like squaring a number or cube root

A

unary

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19
Q

an operation that involves 2 terms (addition, subtraction)

A

binary

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20
Q

placeholder or symbol of something that has 1 or 2 values, it uses letters

A

variable (john doe)

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21
Q

combining numbers and variables using the different operations of mathematics
x+1, 3xy

A

expressions

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22
Q

similar to expression with an equal sign or an inequality symbol
3x+1 = 4, 2x-y >0

A

statements

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23
Q

all elements in a particular universe of discourse
all, every, each

A

universal statement

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24
Q

at least ONE but not all
there exist

A

existential statement

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25
form of if-then, cause and effect
conditional statement
26
universal statement with a condition it assumes that the condition is true for all that is involved
universal conditional
27
property is true for all objects hen asserts the existence of something
universal existential
28
existential object and asserts that the object satisfies a certain property for all things some as the objects
existential universal
29
it is well defined collection of objects {1,2,3,4,5}, {a,b,c}
set
30
an object included in a particular set and some call it member
element
31
a method that lists ALL the elements one-by-one, write the element ONLY ONCE
roster method
32
a method that uses a PHRASE to describe the sets some start with the phrase xl meaning x such that
ruler method
33
it refers to the number of element written
cardinality
34
uncountable
infinite
35
countable
finite
36
a set that is only one element A= {1}
unit set
37
a set with no element B= {}
empty set or null
38
a set which A and B have exactly the same element A= {1,2,3} B= {3,1,2}
equal set
39
a set where A and B should have the same number of elements A= {1,2,3} and B= {a,b,c}
equivalent set
40
it is like a u but sideways
subset
41
a set itself and empty set
improper set
42
a set that does not contain all elements of the given set
proper set
43
a set that contains all the elements of the set under consideration (U)
universal set
44
operation: combine ALL the elements
union
45
operation: take only what is COMMON
intersection
46
operation: REMOVE what is COMMON
difference
47
operation A' : similar to difference however you are comparing U and A final answer is whatever is in U that is not in A
complement (')
48
relationship between 2 sets of values, where each input value (x) is associated with exactly one output value (y)
functions
49
shows the relationship between the input (x) and the output (y) values y= 2x
equation representation
50
list different input (x) values and their corresponding output (y) values
table representation
51
x-axis represents the input values y-axis represents the output value
graph representation
52
explain the input and output values using words
verbal description representation
53
helps us understand how the function behaves for different input values
function evaluation
54
process of combining 2 functions to create a new function (fog)(x)= f(g(x))
function composition
55
allows us to model complex relationships by building function from simple ones
function composition
56
it serves to "undo" another function
inverse
57
a function f that has an inverse
invertible
58
inverse is denoted by
f^-1
59
statement: the square of each real number is nonnegative
universal statement
60
statement: all dogs are animals
universal statement
60
statement: there exists a prime even number
existential statement
61
statement: there exist a male teacher
existential statement
62
statement: if it rains, then the ground is wet
conditional statement
63
if it's black, then it's not white
conditional statement
64
for all numbers, it is greater than 0 then it is positive
universal conditional
65
every real number has an additive universe
universal existential
66
for all pots, then there exists a lid
universal existential
67
there is a positive integer that is less than or equal to every positive integer
existential universal