Welcome to Math Acoustics! Join us as we delve into the realm of sound and mathematics. Along the journey, let's ensure we pronounce key mathematical terms correctly. Excited to explore the synergy between math and sound? Let's get started!.
Abscissa – the first coordinate in an ordered pair. For the point (8, 2) the abscissa is 8..
Adjucate – the matrix formed by taking the transpose of the cofactor matrix of a given original matrix..
Aleph Null – the symbol א0 ( aleph with a subscript of 0). Refers to the cardinality of a countably infinite set. Aleph א) ) is the first letter of the Hebrew alphabet..
Annulus – the region between two concentric circles which have different radii..
Apex – the vertex at the tip of a cone or pyramid..
Bernoulli Trials – an experiment in which a single action, such as flipping a coin, is repeated identically over and over. The possible results of the action are classified as "success" or "failure". The binomial probability formula is used to find probabilities for Bernoulli trials. With Bernoulli trials, the repeated actions must all be independent..
Cardioid - a curve that is somewhat heart shaped. A cardioid can be drawn by tracing the path of a point on a circle as the circle rolls around a fixed circle of the same radius. The equation is usually written in polar coordinates. A cardioid is a special case of the limaçon family of curves..
Coefficient - a letter or number representing a numerical quantity attached to a term (usually at the beginning). For example, x is the coefficient in the expression x (a + b) and 3 is the coefficient in the term 3y..
Conjecture – an educated guess.. Conjugates – the result of writing sum of two terms as a difference or vice-versa..
Coplanar – any set of three points in space lying in the same plane..
Denominator - the bottom number in a fraction or the divisor..
Derivative – a function which gives the slope of a curve; that is, the slope of the line tangent to a function..
Extremum – an extreme value of a function, the minima and maxima..
Furlong – a unit of measurement representing the side length of one square acre. One furlong is approximately 1/8 of a mile, 201.17 meters, or 220 yards..
Homogeneous System of Equations – a system, usually a linear system, in which every constant term is zero..
Hyperbola – a type of conic section or symmetrical open curve. The hyperbola is the set of all points in a plane, the difference of whose distance from two fixed points in the plane is a positive constant..
Infinitesimal – a hypothetical number that is larger than zero but smaller than any positive real number..
Irrational – a number that cannot be represented as a decimal or fraction. A number like pi is irrational because it contains an infinite number of digits that keep repeating. Many square roots are also irrational numbers..
Latus Rectum – the line segment through a focus of a conic section, perpendicular to the major axis, which has both endpoints on the curve. The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex..