Here is the third installment of the math dictionary series blog. Let’s look at the new glossary.

Thesaurus of Mathematics: The Letter “L” Least Squares Method is a regression analysis technique used in probability theory and data to fit a curve-of-best-fit to observed data by lowering the squares of the differences between the observed values and the values supplied by the design.

 

Limit: the factor that determines the way a collection or feature assembles, e.g., when x approaches zero, (transgression x) x becomes more detailed and better to the limit of 1.

 

 

 

In geometry, a line is a one-dimensional number that follows a continuous straight path with two or more factors, whether infinite in both directions or only a line segment bounded by two distinct endpoints.

 

Linear equation: an algebraic formula in which each component is either a continuous or the product of a constant and the initial power of a single variable, and whose graph is a straight line as a result, e.g. y = 4, y = 5x + 3

 

Linear regression is a data and probability theory approach for creating distributed data by imagining an approximate linear relationship between the dependent and independent variables.

 

Since 1,000 = 103, the log10 100 = 3 is the exponent of a power to which a base, the inverse operation of exponentiation, must increase to obtain a given number.

 

Logic is the study of the official rules of reasoning (mathematical logic the application of the methods of formal logic to math and mathematical reasoning and vice versa).

 

Logicism is the belief that mathematics is merely an extension of logic, and that some or all mathematics can be reduced to reasoning.

 

Letter “M” in the math dictionary

 

The magic amount or continuous square is a square range of numbers in which each row, column, and diagonal add up to the same total (a semi-magic square is a square number where just the rows and columns, however not both diagonals, sum to a constant).

 

Based on all the available c factors and Julia collections of a feature of the type z2 + c, a Mandelbrot set is a collection of factors in the facility aircraft, the boundary of which generates a fractal (where c is a problematic criterion).

 

A manifold is a topological area or surface area that, when viewed at a small enough scale, resembles the Euclidean space of a specific dimension (called the size of the manifold). A circle and a line, for example, are one-dimensional manifolds; a plane is a two-dimensional manifold. There are two-dimensional manifolds, as well as the surface area of about; and so on.

 

Matrix: a rectangular array of values that may be added, subtracted, multiplied, and used to represent direct improvements as well as vectors, solve equations, and so on.

 

Mersenne numbers are those that represent one less than two to the power of a prime number, such as 3 (22– 1), 7 (23– 1), 31 (25– 1), 127 (27– 1), 8,191 (213– 1), and so on.

 

Mersenne primes are prime numbers that are one less than a power of two, for example, 3 (22– 1); 7 (23– 1); 31 (25– 1); 127 (27– 1); 8,191 (213– 1); etc. Several, but not all, Mersenne numbers are tops, for example, 2,047 = 211– 1 = 23 x 89, hence 2,047 is not a Mersenne prime, but a Mersenne number.

 

Just a few more

 

Exhaustion method: a method of identifying a form’s area by etching a series of polygons inside it whose areas blend to the area of the included shape.

 

On a 12-hour clock, 15 o’clock is 3 o’clock (15 = 3 mod 12). Modular arithmetic: arithmetic for integers’ scheme, where numbers “wrap around” after reaching a specified worth.

 

Modulus: a number that can divide two supplied numbers by integer division and produce the same remainder, for example, 38 12 = 3 remainder 2 and 26 12 = 2 remainder 2, hence 38 and 26 are both compliant modulo 12, or (38 26) mod 12.

 

Monomial: an algebraic statement with only one term (which could be a backer), for example, y = 7x, y = 23.

 

Letter “N” in the math dictionary

 

Natural numbers are a collection of positive integers (complete counting numbers) that may or may not include zero.

 

Negative numbers include any integer, supply, or actual number less than zero, such as -743, -1.4, and – 5 (though not -1, which is an imaginary or complex number).

 

Non-commutative algebra, such as that used with quaternions, is an algebra in which an x b is not always equivalent to b x a.

 

Non-Euclidean geometry is based on a rounded plane, either elliptic (round) or hyperbolic (spherical) (saddle-shaped). There are no triangular angles, and parallel lines do not add up to 180 degrees.

 

In probability theory and statistics, a normal (Gaussian) distribution depicts information that clusters around the mean in a bent “normal curve,” with the highest probability in the centre and rapidly diminishing per side.

 

A number line is a line on which all factors are real numbers (a reasonable number line may just record integers). However, any real numbers to +/- infinity can theoretically be displayed on a number line).

 

The branch of pure mathematics concerned with the residential or commercial aspects of numbers in general, and integers in particular.

 

“O” is the first letter of the alphabet.

 

Ordinal numbers are a natural number extension (different from integers and preliminary numbers). It specifies the order in which sets are sorted, i.e. the order in which components within a group or series are arranged.

 

Letter “P” in the math dictionary

 

A parabola is a type of conic area curve in which any point is equally far away from a focused factor and a fixed straight line.

 

A paradox is a statement that appears to contradict itself, implying a solution that is not feasible.

 

A partial differential equation is a link that includes an unknown function and numerous independent variables, as well as its partial by-products.

 

28 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 4 + 7 + 14

 

Periodic function: a property that copies its values in regular intervals or periods, such as the trigonometric functions sine, cosine, and tangent.

 

Permutation: a unique purchase of a group of things, for example, given the set, there are six permutations: 1, 2, 3, 2, 1, 3, 3, 1, 2; 3, 2, 1; 3, 2, 1; 3, 2, 1; 3, 2, 1; 3, 2, 1; 3, 2, 1

 

Pi (): the circumference-to-diameter ratio of a circle, an irrational (as well as transcendental) number equal to 3.141593.

 

The five regular convex polyhedra are Platonic solids (in proportion to 3-dimensional forms). The tetrahedron is a four-sided polyhedron (composed of 4 regular triangles). The icosahedron (made of 8 triangular faces) and the octahedron (built of 8 triangular faces) (comprised of 20 triangular). The dice (which are made up of six squares) and the dodecahedron (consisting of 12 pentagons). Lesson on Euler’s Method: Everything You Need to Know

 

Place value is a type of positional notation for numbers that allows the same signs to be used for different orders of magnitude, such as “one’s place,” “ten’s location,” “hundred’s location,” and so on.

 

Just a few more

 

Polar coordinates are a two-dimensional coordinate system in which the range r is used to identify each point on a plane using a fixed factor. And its angle (theta) in relation to the specified instructions.

 

Polynomial: A polynomial is an algebraic equation or expression that has more than one term and is made up of variables. Also, constants using simply enhancement, reduction, and multiplication operations. In addition to non-negative whole-number backers, such as 52– 4x + 4y + 7.

 

Prime numbers are integers greater than one that are only divisible by themselves, as well as 1.

 

Projective geometry is a type of non-Euclidean geometry that deals with what happens to shapes when they are projected onto a non-parallel plane. It could, for example, signify the transformation of a circle into an ellipse or a hyperbola.

 

A plane is a level two-dimensional surface with infinite width and length, no density, and no curvature (physical or intellectual).

 

The branch of mathematics concerned with the assessment of random variables is known as probability theory. And then there’s the analysis of probabilities and events (the possibility of an event happening).

 

The square of the hypotenuse of a best-angled triangular is equal to (a2 + b2 = c2), according to Pythagoras’ (Pythagorean) hypothesis. It is equal to the total of the squares on both sides.

 

Pythagorean triples are groups of three positive integers a, b, and c that satisfy Pythagoras’ thesis of a2 + b2 = c2.

 

Letter “Q” is a mathematical word.

 

A polynomial formula with a degree of 2 of the form ax2 + bx + c = 0 is known as a quadratic formula. Factoring, completing the square, and graphing are some of the approaches that can be used to solve it. The quadratic formula and Newton’s approach

 

Quadrature is the process of squaring or locating a square with the same area as a given integer.

 

A polynomial of the order ax4 + bx3 + cx2 + dx + e = 0 with a level of 4 and a quartic formula. A polynomial formula of the highest feasible order that may be factored directly into radicals using a general method.

 

Quaternions are a four-dimensional number system that extends complex numbers. (In order for a valid number to explain an item.) In addition, there are three complex numbers that are all vertical to each other. It can be used to represent a three-dimensional rotation in which only an angle and a vector are used.

 

ax5 + bx4 + cx3 + dx2 + ex lover + f = 0 Quintic equation: a polynomial degree of 5 in the form ax5 + bx4 + cx3 + dx2 + ex lover + f = 0. For any rational numbers, factorization directly into radicals is not intelligible.

 

Letter “R” in the math dictionary

 

Reasonable figures: figures that can be shared as a percentage (or ratio). A B consisting of two integers (the integers are for that reason a subset of the rationals). A decimal that finishes after a certain number of digits or begins to repeat a sequence.

 

All numbers are real numbers (including natural numbers, integers, decimals, sensible numbers as well as illogical numbers). It excludes the use of fictitious numbers (multiples of the fictional device i, or the square root of -1). It’s possible to think of it as all the variables on a very long number line.

 

When a number is multiplied by x, the multiplicative identification one is produced. As a result, it can be thought of as the inverse of multiplication.

 

Riemannian geometry is a non-Euclidean geometry that looks at curved surfaces and differentiable manifolds in higher-dimensional spaces.

 

A right triangle is a three-sided polygon with a 90-degree angle.

 

Thank you for reading; the final part of the series blog on math dictionary will be published soon.