Math in the Modern World

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    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
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      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