Tuesday, July 17, 2018

Seeing is Believing Glossary


Image:  a visual representation of something or someone.  Images can be thought of as being complex pictorial phenomena, often having symbolic significance and unconscious meanings.  Image also refers to the concept we have about someone or something.

Psyche:  the mind toall its conscious and unconscious functions and capacities, as a center of thoughts, emotions, and behavior.  Freud suggested that the psyche is made up of an id (drives), a superego (conscious), and an ego (rationality) that mediates between the two opposing forces--the id and superego.  {See id, ego, superego.}

Id:  in Freud's theory, the id represents a person's drives and desire for immediate gratification.  The id is a source of energy but it doesn't have direction and thus requires the ego and superego to channel its energy constructively.  (See ego, superego.)

Ego:  in the human psyche, according to Freud, the ego is involved with the preception of reality and adaptation to it.  It mediates between the demands of the id (desire) and superego (conscience).  (See id and superego.)

Superego:  in Freud's structural analysis of the psyche, the superego is involved with such processes as approval or disapproval and has the role of trying to constrain the id.  The functions of the superego operate below our level of awareness.  We need the superego to channel our energy in constructive ways, but if it is too strong, it leads to passivity and an overpowering sense of guilt.  (See id.)

Intertexuality:  according to this theory, all texts (works of art in all media) are influenced, either directly or indirectly, consciously or unconsciously, by works that have preceded them.  Sometimes, as in the case of parody, this "borrowing" is done consciously, but in many other cases, stylistic and other matters are not conscioulsy adapted from earlier works.

Responsive chord:  a theory of communication that focuses upon utilizing information stored in people's minds, which can be triggered by the right stimuli, in contrast to other communication theories that focus on the transfer of information from one person to others.

Signifier/signified:  according to Ferdinand de Saussure, the division of signs into signifiers (sounds or objects) and signifieds (the concepts generated by the signifier).  The relationship between signifiers and signifieds is arbitrary or conventional.

Semiotics:  the science of signs that investigates the way meaning is produced and transmitted.  (See sign.)

Taste cultures:  this is the term used by sociologist Herbert Gans for his analysis of the cultural levels of the American public.  He argues that there are five taste cultures in the United States and each is suited to the intellectual level and needs of its group.

Unconscious:  Freudian theory (his "topographic" hypothesis) posits the existence of three levels of consciousness in the human psyche.  There is consciousness in the human psyche that we cannot access and of which we are unaware, the unconscious.  An iceberg can be used to represent these levels.  The part just below the sea, which we can dimly make out, is the preconscious level; and the greater part of the iceberg, which we cannot make out, is the unconscious.

Saccades:  the quick, intermittent movements the eye makes when it fixes on one point after another in a visual field.  Each saccade lasts approximately one-twentieth of a second.

Aesthethics:  the branch of philosophy concerned with questions related to the nature of the beautiful;  what is the relationship between truth and beauty, between form and content, and so on.  Applied aesthetics, in contrast, is interested in how to obtain certain effects through the use of color, lighting, certain camera shots, editing, and so on.

Ethics:  the branch of philosophy that deals with right conduct and moral considerations.  There is a great deal of debate about the role that ethical considerations should play in the media, in general, and in visual media such as film and television, in particular.

Metaphor:  a figure of speech indication an analogy or similarity between two things--for example, "My love is a rose."  (See simile.)

Metonymy:  a method of generating meaning through the use of association.  For example, a mansion suggests wealth (and good taste).

Direct eye gaze:  a natural response we have to return the gaze of people who are gazing at us.

Mimetic desire:  desire that imitates the desires of others.

Association:  a mode of communication, such as metonymy and synecdoche (a weaker form of metonymy), in which meaning is generated by using associations, connections people have in their minds between two things.

Analogy:  a mode of communication in which meaning is generated by making comparisons.  Metaphors are based on analogies, as are similes, which are weaker forms of analogies.

Simile:  a figure of speech using "like" or "as," in which a weak relationship between two subjects is posited--for example, "My love is like a rose."  (See metaphor.)

Condensation:  the psychological process by which the mind unifies and pulls together disparate images to dreams so as to avoid the dream censor.  The condensed image generally has a sexual dimension to it, though this is not apparent.  we also react to the sexual content of condensed images when we are awake, though we do not create these images.

Displacement:  the psychological process by which the mind invests an object or symbol with significance taken from some other object or symbol.  Frequently, this significance has a sexual dimension to it, and the displaced objects often are similar (in shape or function) to the object that is displaced.

Culture:  a term used by anthropologists and others for the ideas, values, beliefs, patterns of behavior and ways of living of a group passed on from generation.  When used in reference to the arts, culture is thought to involve the elite arts (so-called "high") such as opera, classical music, and serious poetry and novels.

Stereotypes:  a widely held but simplistic, inaccurate, and generally negative  portrayal of a category of people according to such matters as profession, region, gender, race, religion, age, and ethnicity.

Optical:  the term used by art historian Alois Riegl for scanning objects according to their outline.

Haptical:  the term used by art historian Alois Reigl for finding pleasure in the texture and grain of objects.

Dot:  a small, round mark.  Dots are made by the intersection of two lines.  Composers generate dots (on monitors) that are called pixels.

Line:  a design, sometimes made of letters, used by an organization as a means of establishing its identity.

Shape:  the visible configuration or outward form of something.

Scale:  a relationship of size between objects or elements in a visual field.

Spatiality:  the sense of space, determined in large part by the amount of "white" space, in a visual field.

Balance:  balance refers to the arrangement of elements in a composition.  In axial or formal balance, the elements are arranged equally on both sides of an  imaginary axis.  In assymmetrical balance, the elements are arranged in an assymmetrical manner, generating stress, energy and visual excitement.

Lighting:  lighting involves the amount of illumination given to objects, which shapes our perception of them.  Strong lights and weak shadows is called flat lighting and strong lights and shadows is called chiasoscuro lighting.

Perspective:  the abililty to represent objects that are three-dimensional and give a sense of depth on a two-dimensional plane.

Proportion:  a relationship between elements in a visual field in which a part is considered with respect to the whole.

Color:  the description we use for things based on the way light is reflected or emitted from objects.  Colors are differentiated in terms of hue, saturation, and brightness.  We also distinguish between primary colors--red, yellow, and blue--and secondary colors--orange, green, and purple.

Typography:  the art of selecting and using typefaces for maximum efffect.  It also involves such matters as the composition of the page and the string of illustrations and other graphics.

Design:  this term refers to the arrangement of elements in a visual field and the manner in which they relate to one another.

Balance:  balance refers to the arrangement of elements in a composition.  In axial or formal balance, the elements are arranged equally on both sides of an imaginary axis.  In asymmetrical manner, generating stress, energy and visual excitement.

Proportion:  a relationship between elements in a visual field in which a part is considered with respect to the whole.

Contrast:  a difference between two visual elements (such as simple and complicated, dull and bright, or dark and light) to generate  emphasis.

Unity:  a sense of harmoniousness and wholeness created by the relationships of elements in a visual field.

Genre:  kinds of stories, programs, or films.  We make a distinction between a medium (film, television, and so on) and the kind of programs or genres in a given medium.  For example, the medium of television includes many genres:  soap operas, quiz shows, sports shows, interview shows, news shows, documentaries, and so on.

Digital:  the translation of all input into binary structures of 0s and 1s, which can be stored, transferred, or manipulated.

Focus:  the clarity or shapness of an image.  Soft focus generates images that are not precise and clear and produces a dreamlike effect.

Depth of field:  the capacity of a camera to keep objects, located at different distances from it, in focus.  Depth of field can vary, based on the f-stop of the camer, the focal length of the lens, and the distance from the camera to the object being photographed.

Grain:  the proominence of the minute dots that make up a photograph:  the more dots used in a photograph, the less grainy it is.

Shot angle:  the angle in which a photo, film, or television shot is taken, used to promote an effect or feeling in viewers.

Composition:  the arrangement of elements in a visual field so as to please the eye or obtain an intended effect.

Frame:  a single or discrete image.  A film is a collection of frames that are run through a projector, usually at twenty-four frames per second.  Also known as a still.

Zoom shot:  a shot in which the lens of a camera is used to move in on a scene for a closer view (or, in the reverse, move away from a scene).  If used too frequently, zoom shots lose their impact and disturb viewers.

Montage:  a series of images and sounds that, when combined in a certain way, generate a powerful effect.

Jump cut:  a quick cut from one scene to another that leaves out some intermediate scenes and thus speeds the action.

Postmodernism:  a term for works that use a number o f different styles and that abandon a traditional linear narrative.

Z-axis shot:  a shot in which the action is vertical to the screen image and moves toward or away from viewers.  This kind of shot is particularly important in television because the screen is so small.  (See A-B axis shot).

A-B axis shot:  the axis that goes from the left side of a screen to the right side.  (See Z-axis shot).

Shot:  the angle at which a photo, film, or television shot is taken; used to promote an effect or feeling in viewers.

Comic strip:  a popular art form, generally found in newspapers, characterized by continuing characters, a number of panels, and dialogue presented in balloons.  Comic strips can be either serious or humorous and often are extremely long-lived.

Cartoon:  a drawing, usually in one frame, depicting some kind of humorous situation, which is generally accompanied by a caption.

Animation:  the process of filming drawings or clay sculptures to generate the illusion of motion, literally means "giving life to."

Infographics:  this term refers to using visual or graphic means, such as charts, drawings and diagrams, generally in combination with words, to convey information.  Infographics facilitates the communication of complicated relationships and information in way that are easy to grasp.

Desktop publishing:  the use of computers, powerful software programs that enable users to manipulate textual and visual material, and laser printers to produce high-quality printed matter (such as reports, pamphlets, books, and so on).

Computer-aided design (CAD):  software programs that enable users such as architects and engineers to create designs on computers and manipulate the images for various purposes.  There are now CADD (computer-aided design and drafting) programs as well, for draftpersons and others.

Videogame:  an interactive electronic text that enables players to experience immersion and to feel agency in that their actions affect the outcome of the game.  Videogames are played on increasingly powerful consoles that are especially designed for game playing, and in some cases, on computers.  There are many different genres of games, such as first-person shooters, sports, racing, strategy, puzzles, and action-adventures.  Some games have elements of several genres in them.

Immersive:  video games are held to be immersive in that players, as a result of the "suspension of disbelief" become extremely involved in, or "submerged" in, the games they are playing.  One is surrounded, so to speak, by a different reality that dominates our perceptual apparatus.

Interactive:  interactivity involves a response to our input in some situation.  Thus, in video games, we participate in shaping in the outcome of the game through our play--that is, our actions and decisions.  Video games are interactive because they are designed to respond to the responses of players to events in the games.

Transformative:  a term that deals with the way video games can have very powerful emotional impacts on players and thus "transform" them in various ways.  This transformation can be positive and lead to socially constructive behaviors or negative and lead to antisocial behaviors of various kinds.

Internet:  the open interconnection of networks through which connected computers can transmit visual and sound data.  The most popular uses of the Internet are for transmitting e-mail and for finding information on the World Wide Web.

Algebra Notes II

Counting Numbers/Natural Numbers:  numbers we use for counting, i.e., 1,2,3,4,5,...

Elements of a set (members):  objects or numbers on a set, i.e., A = {1,2,3,...}

Finite set:  set that has a fixed number of elements, i.e., {1,2,3}

Infinite set:  set without a fixed number of elements such as natural numbers, i.e., N = {1,2,3,...}

Set-Builder Notation:  uses a variable to represent the numbers in a set.

Variable:  a letter that is used to stand for some numbers, i.e., B = {1,2,3,...,49} is written in set-builder notation, B ={ x|x is a natural number less than 50}

Two sets are equal if they contain exactly the same numbers.

Union of sets:  If A and B are sets, the union of A and B, denoted AUB, is the set of all elements that are either in A, in B, or in both.  In symbols, AUB = {x|x ЄA or x ЄB}

Venn diagrams:  diagrams used to illustrate sets.

Intersection of sets:  If A and B are sets, the intersection of A and B, denoted A n B, is the set of all elements that are in both A and B.  In symbols, AnB = {x|x ЄA and x ЄB}

Subsets:  if every member of set A is also a member of set B, then we write AcB and say that A is a subset of B.  I.E., {2,3} c {2,3,4}

Empty set:  a set with no members and denoted by the symbol o with a slash through it

Set symbols:  e is a member of
                     c is a subset of
                     = equal
                     U union
                     Ф it empty set
                     e with slash - is not a member of
                     c with slash - is not a subset of
                     ≠ is not equal to
                     n intersection

Whole numbers:  the set of natural numbers together with the number 0 (W)

Integers:  the whole numbers together with the negatives of the counting numbers (Z)

The natural numbers  N = {1,2,3,....}
The whole numbers   W = {0,1,2,3,....}
The integers               Z = {....-3,-2,-1,0,1,2,3,....}

Rational numbers:  numbers that are written as ratios or as quotients of integers (Q)

Q = {a/b|a and b are integers, with b = Ф}

Ex. of rational numbers:  7, 9/4, -17/10, 0, 0/4, 3/1, -47/3, and -2/-6

Terminating decimal:  26/100 = 0.26
                                 4/1 = 4.0
                                 1/4 = 0.25

The single digit repeats:  2/3 = 0.6666....
The pair of digits 25 repeats:  25/99 = 0.252525....
The pair of digits 19 repeats:  4177/990 = 4.2191919....

Rational numbers are decimal numbers whose digits either repeat or terminate.

Coordinates:  numbers corresponding to the points on the line

Unit:  the distance between two consecutive integers and any tow consecutive integers.

Origin:  the point with coordinate 0

Irrational numbers:  numbers that cannot be expressed as a ration of integers

Real numbers:  the set of numbers that cannot be expressed as a ratio of integers

Interval of real numbers:  the set of real numbers that lie between two real numbers, which are called end points of the interval

Interval notation:  used to represent intervals

Absolute value:  a number's distance from 0 on the number line

Opposites:  two numbers that are located on opposite sides of zero and have the same absolute value.

Opposite of an opposite:  for any number a, - (-a) = a

Absolute value: |a| = {a i a is positive or -a if a is negative}

Net worth:  the total of your debts and assets

Sum of two numbers with like signs:  to find the sum of two numbers with the same sign, add their absolute values.  The sum has the same sign as the original numbers.

Additive inverse:  the number a and its opposite, -a have a sum of zero for any a.

Additive inverse property:  for any real number a, there is a unique -a such that a + (-a) = -a + a = 0.

Sum of two numbers with unlike signs (and different absolute values):  to find the sum of two numbers with unlike signs, subtract their absolute values.  The sum is positive if the number with the larger absolute value is positive.  The sum is negative if the number with the larger absolute value is negative.

Subtraction of real numbers:  for any real numbers, a and b,a - b = a + (-b).

Product:  the result of multiplying two numbers

Factors:  the numbers multiplied

Products of signed numbers:  to find the product of two nonzero numbers, multiply their absolute values.  The product is positive if the numbers have the same sign.  The product is negative if the numbers have unlike signs

Multiplicative Inverse (reciprocal):  just as every real number has an additive inverse or  opposite, every nonzero real number has one too

Multiplicative inverse/reciprocal:  every non-zero has an opposite 1/a

Multiplicative inverse property:  for any nonzero real number a, there is a unique number 1/a such that a x 1/a = 1/a x a = 1

Division of real numbers:  for any real numbers a and b with b not equal to 0, a/b = a x 1/b.

If a/b = c, a is called the dividend, b is the divisor and c is the quotient.

Division by zero:  a/b is defined only for b is not equal to 0, such quotients, 5/0, 0/0, 7/0 and 0/0 are said to be defined.

arithmetic expression:  the result of writing numbers in a  meaningful combination with ordinary operations  of arithmetic.

Sum, difference, product, quotient:  an expression that involves more than operation if the last operation to be performed is addition, subtraction, multiplication, or division, respectively.

Grouping symbols (parentheses):  indicates which operations are performed first.

Exponential expression:  for any natural number n and real numer a, a to the n power = a x a x a x . . . x a.

We call a the base, n the exponent, and a to the n power an exponential.

Radical symbol:  indicates the non-negative or principal square root, i.e., 9 is the square root of 9 is 3

Square roots:   If a to the 2nd power = b, then a is called a square root of b.  If a is greater than or = to 0, then a is called the principal square root of b and we write the square root of b = a

Order of operations:  expressions in which some or all grouping symbols are omitted, are evaluated consistently by using a rule.

Order of Operations
Evaluate inside any grouping symbols first.  Where grouping symbols are missing use this order.
          1.  Evaluate each exponential expression (in order from left to right).
          2.  Perform multiplication and division (in order from left to right).
          3.  Perform addition and subtraction (in order from left to right).

Algebraic expression:  the result of combining numbers and variables with the ordinary operations of arithmetic (in some meaningful way)

Subscript:  a symbol such as y, is treated as any other variable, read as "y one" or "y sub one"

Communtative property of addition:  for any real numbers a and b, a + b = b + a

Communtative property of multiplication:  for any real numbers, a and b, ab = ba

Associative property of addition:  for any real numbers a, b, and c, (a + b) + c = a + (b + c)

Associative property of multiplication:  for any real numbers a, b, and c, (ab)c = a(bc)

Distributive property:  for any real numbers a, b, and c, a (b + c) = ab + ac

Additive identity:  addition of 0 to a number does not change the number

Multiplicative identity:  multiplication of a number to 1 does not change the number

Additive identity property:  for any real number a, a + 0 = 0 + a = a

Multiplicative identity property:  for any real number a, a x 1 = 1 x a = a

Additive inverse property:  for any real number a, there is a unique number -a such that a + (- a) = - a + a = 0

Multiplicative inverse property:  for any nonzero real number a, there is a unique number 1/a such that a x 1/a = 1/a x a = 1

Multiplicative property of zero:  fpr amu real number a, 0 x a = a x 0 = 0

Term:  a single number or the product of a number and one or more variables raised to powers

Coefficient:  the number preceding the variables in a term

Like terms:  if two terms contain the same variables with the same powers, i.e., 3x^2 and 5x^2 are like terms, 3x^2 and 2x^3 are not like terms

Simplify an expression:  to write an equivalent expression that looks simpler, but simplify is not a precisely defined term

Equation:  a sentence that expresses the equality of two algebraic expressions, i.e., 2x + 1 = 7 because 2(3) + 1 = 7 is true, 3 satisfies the equation

Solution/root:  any number that satisifies an equation

Solution set:  the set of all solutions to an equation

Solve an equation:  to find its solution set

Properties of equality:  the most basic method for solving equations

Properties of equalities
Addition Property  of Equality:  adding the same number to both sides of an equation does not change the solution set to the equation.  In symbols, if a = b, then a + c = b + c.
Multiplication Property of Equality:  multiplying both sides of an equation by the same nonzero number does not change the solution set.  In symbols, if a = b and c is not equal to 0, then ca = cb.

Equivalent equations:  equations that have the same solution set

Least common denominator (LCD):  the smallest number that is evenly divisible by all the denominators

Identity, Conditional Equation, and Inconsistent Solutions:  An identity is an equation that is satisfied by every number for which both sides are defined.  A conditional equation is an equation that is satisfied by at least one number but is not an identity.  An inconsistent equation is an equation whose solution set is the empty set.

Linear variables in one variable:  A linear equation in one variable x is an equation of the form ax = b, where a and b are real numbers, with a not equal to 0

Strategy for Solving a Linear Equation
1.  If fractions are present, multiply each side by the LCD to eliminate them.  If decimals are present, multiply each side by a power of 10 to eliminate them.
2.  Use the distribute property to remove parentheses.
3.  Combine any like terms.
4.  Use the addition property of equality to get all variables on one side and numbers in the other side.
5.  Use the multiplicative property of equality to get a single variable on one side.
6.  Check by replacing the variable in the original equations with your solution.

Formula/literal equation:  an equation involving two or more variables, i.e., A = LW expresses the relationship among length L, width W, and area A of a rectangle

Function:  a function is a rule for determining uniquely the value of one variable a from the value(s) of one or more other variables.  We say that a is the function of the other variable(s)

Interest rate:  I = Prt
Trapezoid:  A = 1/2h(b^1 + b^2)
Volume of rectangular solid:  V = LWH

Summary:  Verbal Phrases and Algebraic Expressions
Addition:  The sum of a number and 8     x + 8
                Five is added to a number       x + 5
                Two more than a number        x + 2
                A number increased by 3        x + 3
Subtraction:  4 is subtracted from a number                 x - 4
                    3 less than a number                               x - 3
                    The difference between 7 and a number  7 - x
                    A number less 5                                     x - 5
Multiplication:  The product of 5 and a number       5x
                       7 times a number                            7x
                       Twice a number                              2x
                       One half a number                          1/2x (or x/2)
Division:  The ratio of a number to 6             x/6
               The quotient of 5 and a number     5/x
               3 divided by some number            3/x

Strategy for solving word problems

1.  Read the problem until you understand the problem.  Making a guess and checking it will help you to understand the problem.
2.  If possible, draw a diagram to illustrate the problem.
3.  Choose a variable and write down what it represents.
4.  The present any other unknowns in terms of that variable.
5.  Write an equation that models the situation.
6.  Solve the equation.
7.  Be sure that your solution answers the question posed in the original problem.
8.  Check your answer by using it to solve the original problem (not the equation).

Geometic problems:  Any problem that involves a geometric figure.

Uniform motion problems:  problems that involve motion at a constant rate (D = RT: distance = rate x time).

Commission:  when property is sold, the percentage of the selling price that the selling agent receives

Inequality of symbols
<  is less than
<  is less than or equal to
>  is greater than
>  is greater than or equal to

Solution set:  the set of all such numbers to an inequality

Basic interval notation (k any real number)
x > k   (k, infinity symbol)
x > k   [k, infinity symbol)
x < k   (- infinity symbol, k)
x < k   (- infinity symbol, k]

Linear inequality
A linear inequality in one variable x is any inequality of the form ax < b, where a and b are real numbers, with a not equal to 0.  In place of < we may also use <, >, or >.

Properties of Inequality
Addition Property of Inequality:  if the same number is added to both sides of an inequality, then the solution set to the inequality is unchanged

Multiplication Property of Inequality:  if both sides of an inequality are multiplied by the same positive numbers, then the solution set to the inequalilty is unchanged.  If both sides of an inequality are multiplied by the same negative number, and the inequality symbol is reversed, then the solution set ito the inequality is unchanged.

Equivalent inequalities:  inequalities with the same solution set

Verbal sentence                                             Inequality
x is greate than 6;     x is more than 6                 x > 6
y is smaller than 0;   y is less than 0                   y < 0
w is at least 9;          w is not less than 9            w > 9
m is at most 7;         m is not greater than 7       m < 7

Trichotomy property:  three possible ways to position two real numbers on a number line

Trichotomy Property:  for any two real numbers a and b, exactly one of these is true:  a < b, a = b, or a > b.

Simple inequalities:  refer to inequalities

Compound inequalities:  when joining two simple inequalities with the connective "and" or the connective "or."  A compound inequality using the connective "and" is ture if and only if both simple inequalities are true.  If at least one of the simple inequalities is false, then the compound inequality is false.

Summary of Basic Absolute Value Equations

Absolute Value Equation     Equivalent Equations     Solution Set
|x| = k (k > 0)                         k = k or x = -k               {k, -k}
|x| = 0                                       x = 0                           {0}
|x| = k (k < 0)                            x = 0                           empty set

Summary of Basic Absolute Value Inequalities (k > 0)

Absolute           Equivalent                     Solution           Graph of
Value                Equality                        Set                   Solution Set
Inequality         

|x| > k           x > k or x < -k   (-infinity, k)u(k, infinity)
|x| > k           x > k or x < -k   (-infinity  k]u[k, infinity)
|x| < k           x < k or x > k    (-k, k)
|x| < k           x < k or x < k    [-k, k]

x-axis:  the horizontal number line

y-axis:  the vertical number line

Cartesian coordinates system:  every point in the plane corresponds to a pair of numbers -- its location with respect to x-axis and its location with respect to the y-axis

Rectangular coordinate system:  also refers to Cartesian coordinate system

Origin:  the intersection of the axis

The axes divide the coordinate plane or xy plane into four regions called quadrants

Locating a point in the the xy-plane that corresponds to a p air of real numbers is referred to as plotting or graphing the point

A pair of numbers, such as (2, 4) is called an ordered pair because the order of the numbers is important

The first number in an ordered piar is the x-coordinate and the second number is the y-coordinate

LINEAR EQUATION IN TWO VARIABLES

A linear equation in two variables is an equation of the form Ax + By = C, where A and B are not both zero

Since the value of y in y = 2x + 3 is determined by the value of x, y is a function of x.  Because the graph of y = 2x + 3 is a line, the equation is a linear equation and y is a linear function