Math in the Modern World

Subdecks (1)

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