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MATH EXAM > basta Math > Flashcards

basta Math Flashcards

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
Q

form of if-then, cause and effect

A

conditional statement

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26
Q

universal statement with a condition
it assumes that the condition is true for all that is involved

A

universal conditional

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27
Q

property is true for all objects hen asserts the existence of something

A

universal existential

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28
Q

existential object and asserts that the object satisfies a certain property for all things some as the objects

A

existential universal

29
Q

it is well defined collection of objects
{1,2,3,4,5}, {a,b,c}

A

set

30
Q

an object included in a particular set and some call it member

A

element

31
Q

a method that lists ALL the elements one-by-one, write the element ONLY ONCE

A

roster method

32
Q

a method that uses a PHRASE to describe the sets
some start with the phrase xl meaning x such that

A

ruler method

33
Q

it refers to the number of element written

A

cardinality

34
Q

uncountable

A

infinite

35
Q

countable

A

finite

36
Q

a set that is only one element
A= {1}

A

unit set

37
Q

a set with no element
B= {}

A

empty set or null

38
Q

a set which A and B have exactly the same element
A= {1,2,3} B= {3,1,2}

A

equal set

39
Q

a set where A and B should have the same number of elements
A= {1,2,3} and B= {a,b,c}

A

equivalent set

40
Q

it is like a u but sideways

A

subset

41
Q

a set itself and empty set

A

improper set

42
Q

a set that does not contain all elements of the given set

A

proper set

43
Q

a set that contains all the elements of the set under consideration (U)

A

universal set

44
Q

operation: combine ALL the elements

A

union

45
Q

operation: take only what is COMMON

A

intersection

46
Q

operation: REMOVE what is COMMON

A

difference

47
Q

operation A’ : similar to difference however you are comparing U and A
final answer is whatever is in U that is not in A

A

complement (‘)

48
Q

relationship between 2 sets of values, where each input value (x) is associated with exactly one output value (y)

A

functions

49
Q

shows the relationship between the input (x) and the output (y) values
y= 2x

A

equation representation

50
Q

list different input (x) values and their corresponding output (y) values

A

table representation

51
Q

x-axis represents the input values
y-axis represents the output value

A

graph representation

52
Q

explain the input and output values using words

A

verbal description representation

53
Q

helps us understand how the function behaves for different input values

A

function evaluation

54
Q

process of combining 2 functions to create a new function
(fog)(x)= f(g(x))

A

function composition

55
Q

allows us to model complex relationships by building function from simple ones

A

function composition

56
Q

it serves to “undo” another function

A

inverse

57
Q

a function f that has an inverse

A

invertible

58
Q

inverse is denoted by

A

f^-1

59
Q

statement: the square of each real number is nonnegative

A

universal statement

60
Q

statement: all dogs are animals

A

universal statement

60
Q

statement: there exists a prime even number

A

existential statement

61
Q

statement: there exist a male teacher

A

existential statement

62
Q

statement: if it rains, then the ground is wet

A

conditional statement

63
Q

if it’s black, then it’s not white

A

conditional statement

64
Q

for all numbers, it is greater than 0 then it is positive

A

universal conditional

65
Q

every real number has an additive universe

A

universal existential

66
Q

for all pots, then there exists a lid

A

universal existential

67
Q

there is a positive integer that is less than or equal to every positive integer

A

existential universal

MATH EXAM (1 decks)

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