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Math in the Modern World
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Math in the Modern World
34 cards
Cards (69)
It is an arrangement that helps observers what they might see or what happens next.
Patterns
It is a study of patterns and relationships. A way of thinking, an art, a language, and a tool.
Mathematics
It occurs when there is
congruence
in dimensions, due proportions and
arrangement.
Symmetry
It is one of the most common kinds of symmetry that we see in the natural world.
Mirror Symmetry
It is an image with more than one lines of symmetry meeting at a common point.
Radial Symmetry
A pattern that repeats in no direction.
Rosette Patterns
A pattern that repeats exactly in one direction
Frieze Patterns
A pattern that repeats in more than one direction.
Wallpaper
Patterns
A rosette pattern that only admits rotational symmetries.
Cyclic
A frieze pattern that only admits a
translational
and
glide
symmetries.
Step
A frieze pattern that only admits translations and 180o rotations (half-turns).
Spinning Hop
It is a repeating pattern of figures that covers a plane with no gaps or overlaps.
Tessellations
It can be broken into squares the size of the next Fibonacci number down and below.
Golden Rectangle
It takes a golden rectangle, break it down into smaller squares based from Fibonacci sequence and divide each with an arc.
Fibonacci Spiral
It takes a golden rectangle, break it down into smaller squares based from Fibonacci sequence and divide each with an arc.
Fibonacci Spiral
A set of
numbers
in a specific
order.
Sequence
A constant difference between successive terms.
Common Difference
It has the same ratios of consecutive terms.
Geometric Sequence
It shows the differences between successive terms of the sequence
Difference Table
A frieze pattern that only admits translations, a
horizontal
reflection, and
glide
reflection.
Jump
It is a
declarative
sentence that can be objectively identified as either true or false, but not both.
Propositions
It is false when p is true, and true when p is false
Negation
It is a proposition with only one subject and one predicate
Single Propositions
It is the proposition “p and q”, which is only true when both p and q are true.
Conjunction
It is the proposition of “p or q”, which is false on ly when both p and q are false.
Disjunction
It is the proposition of “p if and only if q”, which is true only if both p and q are true or both p and q are false.
Biconditional Statement
It is a ____ if its truth value remains true regardless of the truth values of its component propositions.
Tautology
It is a collection of well-defined and distinct objects, considered as an object in its own right.
Sets
These are sets with no elements.
Empty Set
A set with only
one element.
Singleton
We say that A is a _ of B, if every element of A is an element of B.
Subset
Two finite sets A and B are said to be ___ if and only if n(A)=n(B).
Equivalent
It uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.
Venn Diagram
The set of all objects of interest is called as the ____.
Universal Set
A compound proposition is a _____ if its truth value remains false regardless of the truth values of its component propositions.
Contradiction
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