area

Examples of area in the following topics:

• Areas to the Left and Right of x

  • The arrow in the graph below points to the area to the left of x.
  • This area is represented by the probability P ( X < x ) .
  • The area to the right is then P ( X > x ) = 1 − P ( X < x ) .
  • Remember, P ( X < x ) = Area to the left of the vertical line through x.
  • Area to the right of the vertical line through x

• Human Language and the Brain

  • The human brain has a few areas that are specific to language processing and production.
  • Damage to this area results in receptive aphasia (also called Wernicke's aphasia).
  • This diagram shows the areas of the brain associated with languages.
  • The areas of the brain necessary for language.
  • The areas of the brain necessary for processing language: Broca's area, Wernicke's area, the primary motor cortex, the posterior middle temporal gyrus, and the middle and posterior superior temporal gyrus.

• Areas Under Normal Distributions

  • Use the normal calculator to calculate an area for a given X"
  • Use the normal calculator to calculate X for a given area
  • Areas under portions of a normal distribution can be computed by using calculus.
  • The shaded area between 40 and 60 contains 68% of the distribution.
  • The shaded area contains 95% of the area and extends from 55.4 to 94.6.

• U.S. Urban Patterns

  • Census Bureau classifies areas as urban or rural based on population size and density.
  • The Census Bureau defines "urban areas" as areas with a population density of at least 1,000 people per square mile and at least 2,500 total people.
  • Urban areas are delineated without regard to political boundaries.
  • Combined, these areas occupy about 2% of the land area of the United States.
  • In the United States, the largest urban area is New York City, with over 8 million people within the city limits and over 19 million in the urban area.

• Association Areas

  • Language abilities are localized in the left hemisphere in Broca's area for language expression and Wernicke's area for language reception.
  • The association areas are organized as distributed networks, and each network connects areas distributed across widely spaced regions of the cortex.
  • The association areas integrate information from different receptors or sensory areas and relate the information to past experiences.
  • Then the brain makes a decision and sends nerve impulses to the motor areas to elicit responses.
  • Locations of brain areas historically associated with language processing.

• Your Areas of Expertise

  • When selecting a topic consider areas in which you have expertise.
  • When trying to select a topic for your speech consider any areas in which you are an expert.
  • Your area of expertise might be a good topic to give a speech about because you already possess a familiarity with it.
  • Considering your own areas of expertise can be a way of generating a speech topic.
  • Explain why choosing a topic in an area in which you are an expert is a good option

• Motor Areas

  • The motor areas, arranged like a pair of headphones across both cortex hemispheres, are involved in the control of voluntary movements.
  • The motor areas of the brain are located in both hemispheres of the cortex.
  • The motor areas are very closely related to the control of voluntary movements, especially fine movements performed by the hand.
  • The right half of the motor area controls the left side of the body, and the left half of the motor area controls the right side of the body.
  • The basal nuclei receive input from the substantia nigra of the midbrain and motor areas of the cerebral cortex and send signals back to both of these locations.

• Area Expansion

  • That is, their areas and volumes, as well as their lengths, increase with temperature.
  • The area thermal expansion coefficient relates the change in a material's area dimensions to a change in temperature.
  • It is the fractional change in area per degree of temperature change.
  • (a) Area increases because both length and width increase.
  • The area of a circular plug also increases.

• Area Between Curves

  • Area is a quantity that expresses the extent of a two-dimensional surface or shape, or planar lamina, in the plane.
  • Find the area between the two curves $f(x)=x$ and $f(x)= 0.5 \cdot x^2$ over the interval from $x=0$ to $x=2$.
  • Since $x > 0.5 \cdot x^2$ over the interval from $x=0$ to $x=2$, the area can be calculated as follows:
  • The area between two graphs can be evaluated by calculating the difference between the integrals of the two functions.
  • Evaluate the area between two functions using a difference of definite integrals

• Summary of Formulas

  • The area to the left: P ( X < x )
  • The area to the right: P ( X > x ) = 1 − P ( X < x )