the set of simultaneous linear equations 2x + y = 8 and x + y = 6, has a solution x = 2 and y = 4), slope: the steepness or incline of a line, determined by reference to two points on the line, e.g. no finite sequence of algebraic operations on integers (such as powers, roots, sums, etc.) Frequency of Periodic Motion. can be equal to its value, examples being π and e. For example, √2 is irrational but not transcendental because it is the solution to the polynomial x2 = 2. transfinite numbers: cardinal numbers or ordinal numbers that are larger than all finite numbers, yet not necessarily absolutely infinite, triangular number: a number which can be represented as an equilateral triangle of dots, and is the sum of all the consecutive numbers up to its largest prime factor – it can also be calculated as n(n + 1)⁄2, e.g. Share Flipboard Email Print Math is already its own language, so make sure you know the meaning of words used to describe it!. 3 (21 + 1), 5 (22 + 1), 17 (24 + 1), 257 (28 + 1), 65,537 (216 + 1), etc, Fibonacci numbers (series): a set of numbers formed by adding the last two numbers to get the next in the series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …, finite differences: a method of approximating the derivative or slope of a function using approximately equivalent difference quotients (the function difference divided by the point difference) for small differences, formula: a rule or equation describing the relationship of two or more variables or quantities, e.g. given the set {1, 2, 3}, there are six permutations: {1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, and {3, 2, 1}, pi (π): the ratio of a circumference of a circle to its diameter, an irrational (and transcendental) number approximately equal to 3.141593…, place value: positional notation for numbers, allowing the use of the same symbols for different orders of magnitude, e.g. The American word is math. The idea for the Describing Words engine came when I was building the engine for Related Words (it's like a thesaurus, but gives you a much broader set of related words, rather than just synonyms). A = πr2, Fourier series: an approximation of more complex periodic functions (such as square or saw-tooth functions) by adding together various simple trigonometric functions (e.g. 3 (22 – 1); 7 (23 – 1); 31 (25 – 1); 127 (27 – 1); 8,191 (213 – 1); etc – many, but not all, Mersenne numbers are primes, e.g. the numbers in front of the letters) in a mathematical expression or equation, e.g. (a + b) + c = a + (b + c) or (ab)c = a(bc), asymptote: a line that the curve of a function tends towards as the independent variable of the curve approaches some limit (usually infinity) i.e. a(b + c) = ab + ac, element: a member of, or an object in, a set, ellipse: a plane curve resulting from the intersection of a cone by a plane, that looks like a slightly flattened circle (a circle is a special case of an ellipse), elliptic geometry: a non-Euclidean geometry based (at its simplest) on a spherical plane, in which there are no parallel lines and the angles of a triangle sum to more than 180°, empty (null) set: a set that has no members, and therefore has zero size, usually represented by {} or ø, Euclidean geometry: “normal” geometry based on a flat plane, in which there are parallel lines and the angles of a triangle sum to 180°, expected value: the amount predicted to be gained, using the calculation for average expected payoff, which can be calculated as the integral of a random variable with respect to its probability measure (the expected value may not actually be the most probable value and may not even exist, e.g. y = 4, y = 5x + 3, linear regression: a technique in statistics and probability theory for modelling scattered data by assuming an approximate linear relationship between the dependent and independent variables, logarithm: the inverse operation to exponentiation, the exponent of a power to which a base (usually 10 or e for natural logarithms) must be raised to produce a given number, e.g. Six plus four equals twelve. Part of being able to write mathematics well is knowing when to use symbols and knowing when to use words. not a prime number, congruence: two geometrical figures are congruent to one another if they have the same size and shape, and so one can be transformed into the other by a combination of translation, rotation and reflection, conic section: the section or curve formed by the intersection of a plane and a cone (or conical surface), depending on the angle of the plane it could be an ellipse, a hyperbola or a parabola, continued fraction: a fraction whose denominator contains a fraction, whose denominator in turn contains a fraction, etc, etc, coordinate: the ordered pair that gives the location or position of a point on a coordinate plane, determined by the point’s distance from the x and y axes, e.g. Alphabetical-All Subject & Themed Puzzles, Abacus, Absolute, Abstract, Abundant, Accurate, Acre, Actual, Acute, Addition, Adjacent, Adjustment, Advance, Aggregate, Algebra, Algorithm, Align, Altitude, Amount, Amplification, Analogue, Analysis, Analytic number theory, Angle, Annulus, Apex, Application, Arc, Area, Arithmetic, Array, Ascending, Assessment, Assign, Asymmetry, Attribute, Average(s), Axiom, Axis, Calculable, Calculate, Calculation, Calibration, Cardinal, Cartesian, Centigrade, Chance, Change, Chart, Circles, Circular, Circumference, Coefficient, Coherent, Column, Combination, Common, Complementary, Complementary angle, Component, Composite, Compound, Comprehensive, Computation, Computation, Compute, Computer, Concave, Concentric, Concept, Conflate, Congruent, Conjugate, Construct, Context, Continuum, Convert, Coordinate, Corollary, Correlation, Counting, Curve, Cylinder, Data, Decimal, Declivity, Degree, Delve, Demonstrate, Denominator, Density, Design, Determine, Deviation, Devise, Diagnostic, Diagram, Diameter, Difference, Digit, Dimension, Discipline, Discover, Disorder, Distance, Distribution, Divide, Dividend, Divisibility, Division, Effect, Element, Ellipse, Engineer, Equal, Equality, Equation, Equivalent, Error, Essential, Establish, Estimate, Evidence, Exact, Example, Exchange, Experiment, Explore, Exponent, Expression, Extent, Extract, Extrapolate, Factor, Fahrenheit, Fibonacci sequence, Figure, Finance, Finite, Foot, Form, Formula, Fraction, Frequency, Friction, Function, Fundamental, Gallon, Genius, Geometric, Geometry, Googol, Gram, Graph, Greater than, Grid, Gross, Group, Guesstimate, Identify, Imaginary, Inch, Inclination, Inclusive, Indivisible, Inequality, Infinite, Information, Innumerate, Integer, Integrate, Interactive, Interest, Interpolate, Intersect, Interval, Introduce, Invalid, Inversion, Invert, Investigate, Involution, Irrational number, Irrefutable, Isoclinal, Isosceles, Iteration, Lateral, Latitude, Length, Li, Limit, Linear, Lines, Logarithm, Logic, Longitude, Magnetic, Magnitude, Margin, Mathematician, Mathematics, Matrix, Mean, Measure, Median, Memory, Meter, Method, Metric, Mile, Minus, Mixed number, Mode, Model, Motivate, Motivation, Multiple, Multiplication, Multiply, Negative, Net, Notation, Number, Numeral, Numeric, Object, Oblique, Obtuse, Octagon, Octahedron, Operation, Optimism, Order, Ordinal, Origin, Outcome, Outstanding, Parallel, Parallelogram, Parity, Partition, Pattern, Percent, Percentage, Perimeter, Permutation, Perpendicular, Physics, Pi, Point, Polygon, Polynomial, Portion, Position, Positive, Power, Practice, Practicum, Pre-calculus, Precise, Predict, Premise, Prime, Principle, Prism, Probability, Problem, Procedure, Process, Programming, Projection, Proof, Properties, Proportion, Puzzle, Pythagorean, Quadrant, Quadratic, Quadrilateral, Qualitative, Quantity, Quantum, Question, Quick, Quincunx, Quotient, Radius, Random, Range, Rank, Ranking, Rate, Ratio, Ratiocination, Rational, Reasoning, Reciprocal, Recognition, Record, Rectangular, Regular polygon, Relationship, Relevance, Repetition, Replacement, Represent, Resilient, Resistance, Review, Rhomboid, Rhombus, Root, Rotation, Rule, Scalar, Scale, Scale factor, Scalene, Scientific notation, Second, Secondary, Segment, Sequence, Shape, Significant, Similar, Similarities, Simple, Simulate, Sine wave, Single, Skill, Solution, Solve, Spatial, Spectrum, Speculation, Sphere, Split, Square, Square root, Squared, Standard System, Statistics, Stochastic, Strategy, Stress, Subset, Subtraction, Supplementary, Survey, Symbols, Symmetry, System, System, Technique, Tertiary, Test, Testing, Theorem, Theory, Three-dimensional, Tier, Trajectory, Transformation, Trend, Triangle, Underestimate, Understanding, Unit, Universe, Unknown, Valid, Value, Variable, Variety, Vertical, Volume, Wave, Weigh, Weight, Whole number, Work, Wrong, Zeal, Zero, Zero pair, Zest, Zeta function, Zigzag, Zone, www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Middle-High_School_Math.html -, www.tc.cornell.edu/Services/Education/Gateways/Math_and_Science -. 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