Essential Vocabulary for the GRE - You DO the Math!

Here you will learn some English words about math, such as "axis", "congruent", "matrix", etc. that are needed for the GRE exam.

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Essential Vocabulary for the GRE

a branch of mathematics that deals with addition, subtraction, multiplication, etc.

Ex:

(geometry) a lack of symmetry or equivalence in shape or size between the two sides or parts of something

Ex: The artist used asymmetry to create an interesting visual effect .
axis [noun]

the central point or line around which an object turns

Ex: The planet 's tilt on its axis causes the seasons .
calculus [noun]

the branch of mathematics that comprises differentials and integrals

Ex: Calculus helps in solving problems involving motion and growth .

(mathematics) an interdisciplinary theory about complex systems that obey particular laws but appear to have little or no order

Ex: In chaos theory , even simple systems can behave in complex and unpredictable ways .
congruent [adjective]

(in geometry) describing shapes of the same size and form

Ex:
decimal [noun]

(mathematics) a number less than one, called a fraction, that is represented as a period followed by the number of tenths, hundredths, etc.

Ex:

a branch of mathematics that studies the strategies of dealing with competitive situations involving conflict of interests, especially in business, war, etc.

Ex: Game theory can help in strategic planning for sports teams .
matrix [noun]

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

Ex: Multiplying a matrix by a vector is a common operation in linear algebra , used in applications like computer programming and physics .

a branch of mathematics that deals with the relationships between the angles and sides of triangles

Ex: The Pythagorean identity , a fundamental relation in trigonometry , states that sin²θ + cos²θ = 1 .
radius [noun]

the length of a straight line drawn from the center of a circle to any point on its outer boundary

Ex: The architect calculated the radius of the dome to ensure its proportions were aesthetically pleasing .
parabola [noun]

(geometry) a symmetrical open curve that is similar to the path of an object thrown into the air passes till it falls back to earth

Ex: Designers use parabolas to create efficient lighting fixtures .
gradient [noun]

the rate at which a quantity or dimension changes over a given distance or interval

Ex: The slope of the curve represents the gradient of the function .
equation [noun]

(mathematics) a statement indicating the equality between two values

Ex: Balancing chemical equations is crucial in chemistry to ensure conservation of atoms and mass .

(geometry) the length of the external boundary of a curved shape, especially a circle

Ex: To find the circumference of a wheel , you need to know its radius or diameter .
mean [noun]

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

Ex: In the data set { 2 , 4 , 6 , 8 } , the mean is 5 .
diameter [noun]

a straight line from one side of a round object, particularly a circle, passing through the center and joining the other side

Ex: The engineer measured the diameter of the pipe to ensure it would fit snugly within the existing framework .
coaxial [adjective]

related to a configuration where two or more components share a common axis or same center point

Ex: The coaxial gears mesh smoothly due to their shared axis .

a device used to measure and record precise time intervals

Ex: The pilot relied on a chronograph to measure flight durations precisely .

to examine, repair, and make significant improvements or changes to something

Ex: The IT team is overhauling the entire network infrastructure to improve speed , reliability , and security .
ohmmeter [noun]

a device used for measuring electrical resistance in a circuit, stated in ohms

Ex: To test the resistor , you need to connect it to an ohmmeter .

a small piece of material that is a semiconductor, used to make an integrated circuit

Ex: Each microchip contains millions of tiny circuits .
lever [noun]

a long rigid bar that is put under a heavy object in order to move it

Ex: She used a wooden lever to move the heavy crate across the floor .

a substance that doesn't conduct heat, sound, etc.

Ex: The insulator in the wire prevents electricity from escaping .
crank [noun]

a device that allows movement between mechanical parts of a machine or converts backward and forward motion into circular movement

Ex: Engineers designed a crank system to convert linear motion into rotational motion in the machinery .
cardinal [noun]

(mathematics) the number of elements or members in a set, representing its size or quantity

Ex: If a set is empty , its cardinal is zero .
to cube [verb]

to multiply a value or number by itself two times

Ex: To cube 4 , you calculate 4 × 4 × 4 = 64 .

a branch of mathematics that focuses on studying rates of change and instantaneous variations through the concept of derivatives

Ex: Students learn differential calculus to solve problems involving change .

a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number

Ex: Engineers often apply logarithms in signal processing for efficient data representation .
ordinal [noun]

a number that indicates the position of something in a sequence, such as third, second, etc.

Ex: Historians use ordinals to chronologically arrange events in history textbooks .
power [noun]

(mathematics) the exponent in an expression, indicating how many times a base is multiplied by itself

Ex: The power of a number in scientific notation shows its magnitude .
spectrum [noun]

the range of different wavelengths or frequencies of light or radiation

Ex: Ultraviolet light is part of the spectrum that is invisible to the human eye .