M1. Intro To DISMATH Flashcards
___ is the study of mathematical structures that are countable or otherwise distinct and separable
Discrete mathematics
It is based upon continuous number line or the real numbers. It is characterized by the fact that between any two numbers, there are almost always an infinite set of numbers. F
Continuous Mathematics
It involves distinct values; i.e. between any two points, there are a countable number of points.
Discrete Mathematics
__ is the mathematical language of computer science
Discrete Mathematics
____is at the heart of problem solving
Mathematics
To justify why a particular way of solving a problem is correct or efficient (i.e., better than another way) requires analysis with a ____.
well-defined mathematical model
Applications of Discrete Mathematics
Storing files in a computer
Scheduling problems
Computer graphics
Networks
Analog clocks
Cryptography
Cellular communication
Railway planning
Digital image processing
Google maps
Web searches
__ is a science of necessary inference or study of reasoning
Logic
Logic identifies valid ____
mathematical argument
__ dealt with arguments in the natural language used by humans.
Logic
____is a kind of language, where everything is designed to have a precise
meaning.
Mathematical Logic
Logic comes into computer science in many different ways:
Digital circuit logic
Proof of correctness of programs, verification
Automated reasoning in artificial intelligence
Database query language
___ are the meanings of statements
propositions
Proposition is a ____ statement that is either true or false but not both
declarative
We say that the truth value of a proposition is either true (T) or false (F) which corresponds to___in digital circuits
1 and 0
Proposition or not?
The current president of the United States is Joe Biden.
This is a proposition because it is a declarative sentence and we can determine its truth value by checking facts that will prove that Joe Biden is the incumbent president of the US. At this point, the truth value of this proposition is TRUE.
Proposition or not?
Do you have extra paper?
This is NOT a proposition because it is not a declarative statement. It is an interrogative statement and we cannot determine its truth value to be true or false
Discrete Mathematics also has its own sets of operations and operators or sometimes called ___that we can use on propositions
connectives
__ are grammatically independent expressions of information
Simple propositions
___ consist of two or more propositions joined by connectives such as “and”, “or”, “but” and others.
Compound propositions
(^) This is a __ connective
and
(v) This is a __ connective
or
(~) This is a __ connective
not
(->) This is a __ connective
implies (implications)
(<–>) This is a __ connective
equivalent to (biconditional)
___ negates the values. Such that true becomes false
~ | negation (Not)
All condition must be true to have an output of true
conjunction (And)
If at least one is true, then it is true
Disjunction (or)
If same values, then true, otherwise can only be true if the second option is true
implication (if-then)
The input needs to be the same or equal
Biconditional (if and only if)
The input needs to be the same or equal
Biconditional (if and only if)
Exactly one true or odd number of true
Exclusive OR (XOR)
Order the following
()
XOR
<–>
->
v
~
()
~
v
->
<–>
XOR
our __ carries with it distinct characteristics, qualities, traits and abilities that are supposedly most dominant in one sex over the other
sex
these social roles we play and expectations we meet has always been appreciated by ____
humankind
sexual feelings, sexual orientation or preference comes with ____
attraction
___ is a powerful drive or motivation for doing something positive for the one you are attracted to
sexual attraction
___ is a powerful drive or motivation for doing something positive for the one you are attracted to
sexual attraction
True or False
The only thing the Catholic or Christian perspective objects to is not homosexuality but homosexual acts.
True
True or False
Falling in love is love
False
Falling in love is not love
a very strong attraction toward another person, which is what falling in love actually is
Falling in love is specifically a ____experience
sex-linked erotic
one falls in love only when one is consciously or unconsciously ____
sexually motivated
Falling in love is a genetically determined instinctual component of ____
mating behavior
Falling in love is a powerful experience or an ____
experience of power
___simply refers to that feeling of inadequacy, that there is something lacking in ourselves
ego boundaries
we fall in love with, or simply get attracted to, the most unlikely person, because there is something in that person that unconsciously we feel could fill in what we lack—could fill in our___
inadequacy
feeling that our lack has been filled up makes us feel powerful—we are inadequate no more—the ____
“two of us are enough”
lovers fall out of love when ___snap back, when the feeling of inadequacy attacks once again—because even if there were a powerful merging of identities, one would always remain to be one’s own identity and no matter how powerful the merging is, there would still exist an inadequacy
ego boundaries
falling out of love is actually the point when we have to decide either to dissolve the ties of the relationship or to initiate the work of___
real loving
real or true love is a ____: to be with the other person no matter what & to grow with that person
choice and a commitment
