An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.とは 意味・読み方・使い方

when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a function of changes in the other (x)

the image of f(x) = x^2 is the set of all non-negative real numbers if the domain of the function is the set of all real numbers

a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise

An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.

For f(x)=2x+1, when the domain of the function is [1,2], the range is [3,5].

a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other

relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values)

a value which is calculated by subtracting the real value, assigned value or theoretical value from a computer value, observation value or realization value

a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane

a number puzzle in which the numbers 1 through 9 must be placed into a grid of cells so that each row or column contains only one of each number

a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)

a trigonometric method of determining the position of a fixed point from the angles to it from two fixed points a known distance apart

the organic phenomenon in which one of a pair of alleles present in a genotype is expressed in the phenotype and the other allele of the pair is not

Two triangles are congruent if the three sides of one are equal in length respectively to the three sides of the other.

a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

a method of solving simultaneous equations by guessing a solution and then reducing the errors that result by successive approximations until all the errors are less than some specified amount

a word or morpheme used in some languages in certain contexts (such as counting) to indicate the semantic class to which the counted item belongs

of or relating to or being an integer that cannot be factored into other integers

a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1

a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry

a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third

an index of the relation between any two sets of scores that can both be represented on ordered binary dimensions (e.g., male-female)

a quantifier that can be used with count nouns and is often preceded by `as' or `too' or `so' or `that'

a power unit equal to the power dissipated when 1 abampere flows across a potential difference of 1 abvolt (one ten-thousandth of a milliwatt)

a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)

the part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential

the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on

the periphrastic genitive

the distributive singular