MMW Flashcards
(21 cards)
sequences
or designs that are orderly and that repeat.
patterns
is when different sides of something are alike. These reflections may be mirror images with only two
sides like the two sides of our bodies, they may be symmetrical on several sides like the inside of an apple
sliced in half, or they might be symmetrical on all sides like the different face of a cube.
symmetry
are the ‘never-ending’ patterns that repeat indefinitely as the pattern is iterated on an infinitely smaller
scale. We see this type of pattern in trees, rivers, mountains, shells, clouds, leaves, lightning, and more.
fractals
are another common pattern in nature that we see more often in living things. Think of the horns of a
sheep, the shell of a nautilus, and the placement of leaves around a stem.
spiral
are patterns that are formed by repeated cubes or tiles. These, too, can occur with both living and
non-living things.
tessellations
- Predicting the Weather
- Internet and Phones
- Computers
- Reading CDs and DVDs
- Public Key Cryptography
- Satellite Navigation
- Digital Music
- Search Engines
- Navigation
- Speech Recognition
- Braking the Enigma
- Public Transportation
- Computer Circuits
- Movie Graphics
- Image Compression
- Measuring Time
technology
- Construction
- Automotive Design
- Building Bridges
- Robotics
- Roller Coaster Design
- Computer Circuits
- Rockets and Satellites
- Microwaves
- Surveying
engineering
- Reading CDs and DVDs
- Digital Music
- Making Music
- Movie Graphics
- Polling and Voting
- Music Shuffling
media
- MRI and Tomography
- Neurology
- Epidemics Analysis
- Crowd People
- Problem Solving
- Pharmacy and Medicine
- Population Dynamics
- Plastic Surgery
- Counting Calories
medicine and health
- Supply Chains
- Finance and Banking
- Gambling and Betting
- Insurance
- Loans, Internet, Mortgages
- Fraud Detection
- Big Data
- Pricing Strategies
- Game Theory
finance and business
is a complex system of words and symbols, either spoken or written, used by a particular
community as a means of communication.
language
Every language has its vocabulary (the words) and its rules for combing these words into complete thoughts
(the sentences).
language of mathematics
Characteristics of the language of mathematics
- Precise – able to make very fine distinctions;
- Concise – able to say things briefly;
- Powerful – able to express complex thoughts with relative ease
is a name given to a
mathematical object of interest.
expression
is a collection of objects, and in mathematical discourse, these objects are mathematical ones such as
numbers, points in space, or other …
sets
Focusing on the phrase “the square root of” in a sentence (1). If we wish to think about such a phrase
grammatically, then we should analyze what sort of role it plays in a sentence.
functions
is a symbol or a word which is used to connect two or more
sentences. Each logical connective can be expressed as a truth function.
logical connective
is the opposite of a statement, usually employing the word not. The symbol to indicate
(blank) is ~.
negation
is a compound sentence formed by using the word and to join two simple
sentences. The symbol for this is ⋀.
conjunction
is a compound sentence formed by using the word or to join two simple
sentences. The symbol for this is ⋁.
disjunction
is a type of relationship between two statements or sentences. The statement “𝑝 implies 𝑞”
means that if 𝑝 is true, the 𝑞 must also be true, and it is symbolized by a double-lined arrow pointing
toward the right ⇒.
implications