### activity | procedure | calculation:

Multiplication
* are always two complemental.
* commutative operation.
* corresponds to adding the angles of the two points and multiplying their lengths
  - the intersection of the sets
* has an exponential effort that increases at a rapid rate
  - similar variations in sophistication
* is accomplished only by division
  - almost always faster than division
* is also always possible, but division only sometimes
  - related to the Cartesian product of two sets
  - another binary operation
  - arithmetic operations
  - associative and distributive with respect to addition
  - both associative and commutative
* is by binary fission in the trophozoite stage
  - fission, and no sexual stage has been identified
  - budding and the detached buds are completely ciliated
  - plant division
  - defined in the mathematical linear algebra sense
  - done on the set of odd integers
  - matrix multiplication
  - noncommutative
  - nonlinear addition
* is one of the basic functions used in digital signal processing
  - four basic mathematical functions
  - orders of magnitude faster than finding a square root
  - procreation
* is the addition of equal quantities
  - easiest nontrivial arithmetic function
  - ultimately a form of addition
* is used in many different problem situations
  - to determine the size or number of elements in many groups of equal size
  - useful when calculating the cost of energy or energy related items
* means that one vector is made bigger or smaller.
* short form of addition.
* usually starts with skip-counting.
+ Vector space: Linear algebra
  * Often, for example in Euclidean space, a vector can be represented graphically with an arrow that has a tail and a head. We normally then think of addition as the tail of one vector being placed at the same point as the head of the other vector. The sum vector is the one whose tail is the tail of the first vector and whose head is the head of the second. Multiplication means that one vector is made bigger or smaller.

### activity | procedure:

Computation
* Mean Calculates the average of a series of numbers.
* account for convection, dispersion, mixing, and biodegradation effects.
* always reduces to maths.
* can be numerical computations as well as inputting and outputting data.
* enables better control and understanding of the physical world.
* has a rich history in the arts as a mechanism for enhancing artistic endeavor.
* helps to tackle problems in exploration, fuels, plastics, and chemicals.
* involves numbers
  - the manipulation of a symbol system
* is computation
  - embedded in many physical artifacts and spread throughout our environment
  - related to a dynamic process of node firings
* is the essence of order
  - implementation of a symbol system
  - manipulation of interpretable symbols
  - mechanical manipulation of symbols
  - when scientists use computers to solve math and science problems
* process of symbol manipulation.
* uses equations.

### activity | procedure | computation:

Digital computation
* All digital computation is based on discrete mathematics.
* relies on the ability of algorithms to break tasks down into very small steps.

Evolutionary computation
* can model both biological and cultural evolution.
* makes use of a metaphor of natural evolution.

Quantum computation
* is more powerful than classical computation.
* uses the inherent vagueness of the quantum world.

Criminal procedure
* includes court rules, laws, constitutional rights, and case law.
* method for enforcing the criminal law.
* refers to the I. methods the government can use to investigate criminals.

Orthopedic procedure
* are generally painful because of trauma to large muscle masses.
* involving rigid bone particularly lend themselves to automated surgery.