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The union of two rays with a common endpoint, called the vertex.
The additive inverse of any number x is the number that gives zero when added to x.
The distance of a number from zero; the positive value of a number.
The number zero is called the additive identity because the sum of zero and any number is that number.
A triangle each of whose angles measures less than 90 degrees.
A line of symmetry for a graph. The two sides of a graph on either side of the axis of symmetry look like mirror images of each other.
The "mirror line" of a reflection. That is, the line across which a reflection takes place.
The change in the value of a quantity divided by the elapsed time.
A matrix form of a linear system of equations obtained from the coefficient matrix as shown below.
A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
A series such as 3 + 7 + 11 + 15 + ··· + 99 or 10 + 20 + 30 + ··· + 1000 which has a constant difference between terms.
3などのシリーズ+ 7 + 11 + 15 + · · · + 99または10 + 20 + 30 + · · ·用語の間に一定の差が+ 1000。
A sequence such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms.
用語の間に一定の差が、1、5、9、13、17または12のようなシーケンス、7、2、-3、-8、-13、-18。
The variable, term or expression on which a function operates.
The coordinate plane used to graph complex numbers.
The use of algebraic and/or numeric methods as the main technique for solving a math problem.
The study of geometric figures using the coordinate plane or coordinates in space.
The matrix obtained by changing the sign of every matrix element.
The rate of change of velocity over time. For motion along the number line, acceleration is a scalar. For motion on a plane or through space, acceleration is a vector.
時間の経過速度の変化率。数直線に沿った運動の場合、加速はスカラーです。平面上または空間を通して運動のために、加速度はベクトルです。
The first coordinate in an ordered pair. For the point (8, –2) the abscissa is 8.
For a term with one variable, the degree is the variable's exponent.
The highest degree of any term in the polynomial.
An example of a definition that stretches the definition to an absurd degree.
A function with a graph that moves downward as it is followed from left to right.
A number that must be multiplied times itself three times to equal a given number.
A method for solving a linear system of equations using determinants.
An infinite series for which the sequence of partial sums converges.
A sequence with a limit that is a real number. For example, the sequence 2. 1, 2. 01, 2. 001, 2. 0001, . . . has limit 2, so the sequence converges to 2.
実数の上限とシーケンス。たとえば、シーケンス2。1、2。01、2。001、2。0001、。 。 。リミット2を持っているので、シーケンスは2に収束する。
To approach a finite limit. There are convergent limits, convergent series, convergent sequences, and convergent improper integrals.
Switching the hypothesis and conclusion of a conditional statement and negating both.
Interest that is, hypothetically, computed and added to the balance of an account every instant.
A notation using the Greek letter sigma (Σ) that allows a long sum to be written compactly.
A function of the form y = constant or f(x) = constant, such as y = –2.
A measured quantity that does not change, or that stays the same under particular conditions. A constant is, by convention, often entered in equations as a letter symbol. A constant can also be an expression with no variables or with variables that cancel out each other. For example, –42 is a constant. So is 3x + 5 – 3x, which simplifies to just 5.
名詞として、変数を指定しないで用語または表現。任意の変数は、相殺のためにも、用語または表現。例えば、-42は定数です。ので3倍です+ 5 - 3X、わずか5に簡素化されます。
A system of equations that has at least one solution.
An assertion about the complex zeros of any polynomial which has real numbers as coefficients.
The result of writing sum of two terms as a difference or vice-versa.
The family of curves including circles, ellipses, parabolas, and hyperbolas.
An inequality that is true for some value(s) of the variable(s) and not true for others.
An equation that is true for some value(s) of the variable(s) and not true for others.
To figure out or evaluate. For example, "compute 2 + 3" means to figure out that the answer is 5.
A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.
座標平面上のすべての距離がすべてのx座標(水平方向の圧縮)または1未満の一般的な要因によってグラフのすべてのy座標(垂直方向の圧縮)のいずれかを乗じて短縮される変換。
A transformation in which a figure grows smaller. Compressions may be with respect to a point (compression of a geometric figure) or with respect to the axis of a graph (compression of a graph).
図が小さく成長する変換。圧縮は、ポイント(幾何学図形の圧縮)を基準にしてまたはグラフ(グラフの圧縮)の軸に対して可能性があります。
Interest that is, hypothetically, computed and added to the balance of an account every instant.
A method of computing interest in which interest is computed from the up-to-date balance.
Two or more inequalities taken together. Often this refers to a connected chain of inequalities, such as 3 < x < 5.
Combining two functions by substituting one function's formula in place of each x in the other function's formula.
The coordinate plane used to graph complex numbers.
Numbers like 3 – 2i that can be written as the sum or difference of a real number and an imaginary number.
Algebra rules and formulas for complex numbers are listed below.
A fraction which has, as part of its numerator and/or denominator, at least one other fraction.
The complex conjugate of a + bi is a – bi, and similarly the complex conjugate of a – bi is a + bi.
Two matrices with dimensions arranged so that they may be multiplied.
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r.
幾何学的なシーケンスまたは幾何学的なシリーズでは、一般的な比率は、前期の期間の割合です。この比率は通常、変数rで示される
The logarithm base 10 of a number. That is, the power of 10 necessary to equal a given number.
The mathematics of counting, especially counting how many elements are in very large sets.
A formula for the number of possible combinations of r objects from a set of n objects.
A selection of objects from a collection. Order is irrelevant.
The matrix formed by the coefficients in a linear system of equations.
The number multiplied times a product of variables or powers of variables in a term.
The process of making sure a solution is correct by making sure it satisfies any and all equations and/or inequalities in a problem.
解決策は、それが問題に必要な一切の方程式および/または不等式を満たすことを確認して正しいかどうかを確実にするプロセス。
A formula that allows you to rewrite a logarithm in terms of logs written withanother base.
A step function of x which is the least integer greater than or equal to x.
The plane formed by a horizontal axis and a vertical axis, often labeled the x-axis and y-axis, respectively.
A function (or relation) written using (x, y) or (x, y, z) coordinates.
A in the expression ax. For example, 2 is the base in 23. Similar to the base of a logarithm.
He process of solving a linear system of equations that has been transformed into row-echelon form or reduced row-echelon form.
The line passing through the focus and vertex of a parabola. The axis of symmetry is perpendicular to the directrix.
A ray that is in the interior of an angle and forms two equal angles with the sides of that angle .