var myDefNames=new Array(); // regular array (add an optional integer myDefNames[0]=""; // argument to control array's size) myDefNames[1]="A unary operation is a calculation involving one operand."; //"def_unary_operation"; myDefNames[2]="A binary operation is a calculation involving two operands."; //"def_binary_operation"; myDefNames[3]="An operand is a mathematical object upon which an operator acts."; //"def_operand"; myDefNames[4]="A binary relation is a comparison of two operands."; //"def_binary_relation"; myDefNames[5]="Distributive Property: If a, b, and c are real numbers, then a(b + c) = ab + ac." //"distributive_property"; myDefNames[6]="Transitive Property of Equality: If a, b, and c are real numbers such that a = b and b = c, then a = c." //"transitive_property_of_equality"; myDefNames[7]="Law of Trichotomy: If a and b are real numbers, then one and only one of the following is true:
  1. a < b
  2. a = b
  3. a > b
" //"law_of_trichotomy"; myDefNames[8]="Zero Factor Property: If a and b are real numbers and ab = 0, then a = 0, or b = 0." //"zero_factor_property"; myDefNames[9]="An equation is a mathematical statement which contains an = symbol." //"def_equation"; myDefNames[10]="An identity is an equation which is true for every real number in the domain of the variables." //"def_identity"; myDefNames[11]="A conditional equation is an equation which is true when some real numbers are substituted for the variables and is false when some real numbers are substituted for the variables." //"def_conditional_equality"; myDefNames[12]="A contradiction is an equation that has no real number solution. " //"def_contradiction"; myDefNames[13]="A number (or numbers) that makes an equation true when substituted for the variable (or variables) is called a solution of the equation." //"def_solution"; myDefNames[14]="The collection of all solutions of an equation is called the solution set of the equation." //"def_solution_set"; myDefNames[15]="The graph of an equation consists of all the points, and only those points, whose coordinates are solutions of the equation.

An alternate, but equivalent definition is:
The graph of an equation consists of all the points, and only those points, which satisfy the equation." //"def_graph_of_equation"; myDefNames[16]="The process of finding all the solutions (the solution set) of an equation is called solving the equation." //"def_solving_equations"; myDefNames[17]="Two equations are equivalent if they have the same solution sets." //"def_equivalent_equations"; myDefNames[18]="A simplest equation is an equation which has a single variable on one side of the equal sign and a single number on the other side." //"def_simplest_equation"; myDefNames[19]="A linear equation in one variable is an equation that can be written in the form ax + b = 0 where a and b are real numbers with not both a and b equal to zero." //"def_linear_equation_one_variable"; myDefNames[20]="A complex number is a number that can be written in the form a + bi where a and b are real numbers and square root of minus one." //"def_complex_numbera"; myDefNames[21]="The real component of the complex number a + bi is a." //"def_real_component"; myDefNames[22]="The complex component of the complex number a + bi is b." //"def_complex_component"; myDefNames[23]="Two complex numbers a + bi and c + di are equal if a = c and b = d." //"def_equality_of_complex_numbers"; myDefNames[24]="The sum of two complex numbers a + bi and c + di is defined by (a + bi) + (c + di) = (a + c) + (b + d)i." //"def_sum_of_complex_numbers"; myDefNames[25]="The opposite of a complex number a + bi is -a - bi." //"def_opposite_of_complex_number"; myDefNames[26]="The difference (a + bi) - (c + di) is defined to be (a + bi) + (-c - di)." //"def_difference_of_complex_numbers"; myDefNames[27]="The product (a + bi)(c + di) is defined to be (ac - bd) + (bc + ad)i." //"def_product_of_complex_numbers"; myDefNames[28]="The norm of a complex number a + bi is a2 + b2." //"def_norm_of_complex_number"; myDefNames[29]="The conjugate of a complex number a + bi is a - bi." //"def_conjugate_of_complex_number"; myDefNames[30]="The multiplicative inverse of a complex number a + bi is its conjugate divided by its norm ." //"def_inverse_of_complex_number"; myDefNames[31]="The quotient is defined to be ." //"def_quotient_of_complex_numbers"; myDefNames[32]="If k is a positive real number then the principal square root of its opposite -k is defined by " //"def_principal_square_root_of_a_negative_number"; myDefNames[33]="A quadratic equation in one variable is an equation which may be written in the form ax2 + bx + c = 0 where a, b, and c are real numbers and a is not zero." //"def_quadratic_equation_one_variable"; myDefNames[34]="The discriminant of a quadratic ax2 + bx + c is b2 - 4ac." //"def_discriminant"; myDefNames[35]="A term is a letter, a number, or a product of letters and numbers." //"def_term"; myDefNames[36]="The numerical part of a term is called the coefficient of the term (sometimes called the numerical coefficient)." //"def_coefficient"; myDefNames[37]="A polynomial is a term or a sum of terms in which all variables have whole number exponents." //"def_polynomial"; myDefNames[38]="A polynomial is an expression which can be written as
anxn + an-1xn-1 + ... +a1x + a0
where n is a whole number and each of the coefficients are real numbers." //"def_polynomial_symbolic"; myDefNames[39]="A polynomial equation is an equation which can be written as
anxn + an-1xn-1 + ... +a1x + a0 = 0
where n is a whole number and each of the coefficients are real numbers." //"def_polynomial_equation"; myDefNames[40]="An inequality is a mathematical statement which contains an inequality symbol." //"def_inequality"; myDefNames[41]="A number (or numbers) that makes an inequality true when substituted for the variable (or variables) is called a solution of the inequality." //"def_solution_inequality"; myDefNames[42]="The collection of all solutions of an inequality is called the solution set of the inequality." //"def_solution_set_inequality"; myDefNames[43]="The graph of an inequality consists of all the points, and only those points, whose coordinates are solutions of the inequality.

An alternate, but equivalent definition is:
The graph of an inequality consists of all the points, and only those points, whose coordinates satisfy the inequality." //"def_graph_inequality"; myDefNames[44]="Two inequalities are equivalent inequalities if they have the same solution sets." //"def_equivalent_inequality"; myDefNames[45]="The process of finding all the solutions (the solution set) of an inequality is called solving the inequality." //"def_solving_inequality"; myDefNames[46]="A simplest inequality is an inequality which has a single variable on one side of the inequality symbol and a single number on the other side." //"def_simplest_inequality"; myDefNames[47]="A linear inequality in one variable x is an inequality which can be written in the form ax + b < 0." //"def_linear_inequality_one_variable"; myDefNames[48]="A system of equations consists of two or more equations involving the same variables." //"def_system_of_equations"; myDefNames[49]="A solution for a system of equations is an ordered n-tuple of numbers which satisfy all of the equations in the system of equations." //"def_solution_for_system_of_equations"; myDefNames[50]="The collection of all solutions of a system of equations is called the solution set of the system of equations." //"def_solution_set_for_system_of_equations"; myDefNames[51]="The process of finding all the solutions (the solution set) of a system of equations is called solving the system of equations." //"def_solving_system_of_equations"; myDefNames[52]="Two systems of equations are equivalent systems if they have the same solution sets." //"def_equivalent_systems_of_equations"; myDefNames[53]="A function consists of three things:

    A set called the Domain
    A set called the Range
    A rule which associates each element of the domain with a unique element of the range." //"def_function"; myDefNames[54]="" //"def_functional_notation"; myDefNames[55]="The coordinates of a point (a, b) are said to satisfy the rule of a function f if b = f(a)."; //"def_satisfy_the_rule"; myDefNames[56]="The graph of a function is the set of all points whose coordinates satisfy the rule of the function."; //"def_graph_of_a_function"; myDefNames[57]="The graph of a function is the set of all points of the form (a, f(a)) where a is an element of the domain and f(a) is the corresponding range element."; //"def_graph_of_a_function_alternate" myDefNames[58]="A zero of a function f is a domain element k for which f(k) = 0."; //"def_zero_of_a_function"; myDefNames[59]="An x-intercept of a graph in the Cartesian Coordinate System is a point where the graph intersects the x-axis."; //"def_x_intercept"; myDefNames[60]="A y-intercept of a graph in the Cartesian Coordinate System is a point where the graph intersects the y-axis."; //"def_y_intercept"; myDefNames[61]="The zero function z is the function defined by z(x) = 0 for all x in the domain of z."; //"def_zero_function"; myDefNames[62]="A function f is called a constant function if its rule can be written as f(x) = k for some real number k. "; //"def_constant_function"; myDefNames[63]="A linear function is a function whose rule may be written in the form f(x) = mx + b where m and b are real numbers."; //"def_linear_function"; myDefNames[64]="The identity function is the function I which has the property that I(x) = x for all x in the domain of I."; //"def_identity_function"; myDefNames[65]="The squaring function is the quadratic function f whose rule may be written in the form f(x) = x2."; //"def_squaring_function"; myDefNames[66]="The cubing function is the function f whose rule may be written in the form f(x) = x3."; //"def_cubing_function"; myDefNames[67]="A quadratic function is a function whose rule may be written in the form f(x) = ax2 + bx + c where a, b, and c are real numbers and a is not zero."; //"def_quadratic_function"; myDefNames[68]="The square root function is the function sqrt whose rule may be written in the form ." //"def_square_root_function"; myDefNames[69]="def_cube_root_function"; myDefNames[70]="A polynomial function is a function whose rule may be written in the form

f(x) = anxn + an-1xn-1 + ... + a1 x + a0

where an, an-1, ... a1 and a0 are all real numbers and n is a whole number."; //"def_polynomial_function"; myDefNames[71]="def_reciprocal_function"; myDefNames[72]="def_rational_function"; myDefNames[73]="The absolute value function is a function abs whose rule may be written in the form abs(x) = | x |."; //"def_absolute_value_function"; myDefNames[74]="The Exponential base e Function is the function exp whose rule may be written in the form
exp(x) = ex
where e is the irrational number approximately equal to 2.718281828..."; //"def_exponential_base_e_function"; myDefNames[75]="The Logarithm base e Function is the function ln which is the inverse of the function exp."; //"def_logarithm_base_e_function"; myDefNames[76]="A piecewise defined function is a function whose rule is different for different intervals of its domain."; //"def_piecewise_defined_function"; myDefNames[77]="def_greatest_integer_function"; myDefNames[78]="A function f is increasing on an interval if, for any x1and x2 in the interval,

 x1< x2 implies f(x1) < f(x2)."; //"def_increasing_function"; myDefNames[79]="A function f is decreasing on an interval if, for any x1and x2 in the interval,

 x1< x2 implies f(x1) > f(x2)."; //"def_decreasing_function"; myDefNames[80]="A function f is an even function if, f(x) = f(-x) for all domain elements x"; //"def_even_function"; myDefNames[81]="A function f is an odd function if, f(x) = -f(-x) for all domain elements x"; //"def_odd_function"; myDefNames[82]="A linear function is a function whose rule may be written in the form f(x) = mx + b where m and b are real numbers."; //"def_linear_function"; myDefNames[83]="def_point_slope_equation"; myDefNames[84]="def_slope_intercept_equation"; myDefNames[85]="def_slope_formula"; myDefNames[86]="def_quadratic_function"; myDefNames[87]="def_sum_of_functions"; myDefNames[88]="def_difference_of_functions"; myDefNames[89]="def_product_of_functions"; myDefNames[90]="def_quotient_of_functions"; myDefNames[91]="def_composition_of_functions"; myDefNames[92]="def_inverse_of_a_function"; myDefNames[93]="def_one_to_one_function"; myDefNames[94]="def_term"; myDefNames[95]="def_degree_term"; myDefNames[96]="def_coefficient"; myDefNames[97]="def_like_terms"; myDefNames[98]="def_constant_term"; myDefNames[99]="def_term_sum"; myDefNames[100]="def_opposite_of_a_term"; myDefNames[101]="def_term_difference"; myDefNames[102]="def_term_product"; myDefNames[103]="def_term_quotient"; myDefNames[104]="def_polynomial"; myDefNames[105]="def_leading_term"; myDefNames[106]="def_leading_coefficient"; myDefNames[107]="def_degree_polynomial"; myDefNames[108]="def_equality_of_polynomials"; myDefNames[109]="def_linear_polynomial"; myDefNames[110]="def_quadratic_polynomial"; myDefNames[111]="def_cubic_polynomial"; myDefNames[112]="def_monomial"; myDefNames[113]="def_binomial"; myDefNames[114]="def_trinomial"; myDefNames[115]="def_polynomial_sum"; myDefNames[116]="def_polynomial_opposite"; myDefNames[117]="def_polynomial_difference"; myDefNames[118]="def_polynomial_equation"; myDefNames[119]="def_polynomial_function"; myDefNames[120]="def_multiplicity"; myDefNames[121]="def_divisible_natural_number"; myDefNames[122]="def_divisible_polynomial"; myDefNames[123]="def_rational_function"; myDefNames[124]="def_vertical_asymptote"; myDefNames[125]="def_horizontal_asymptote"; myDefNames[126]="def_oblique_asymptote"; myDefNames[127]="def_exponential_base_a_function"; myDefNames[128]="def_exponential_base_e_function"; myDefNames[129]="def_exponential_base_2_function"; myDefNames[130]="def_exponential_base_10_function"; myDefNames[131]="def_logarithm_base_2_function";