incommensurables

/ˌɪnkəˈmɛnʃərəbəlz/ /ˌɪŋkəˈmɛnʃərəbəlz/

Meanings

noun

An incommensurable value or quantity; an irrational number.

Examples :

"When calculating the exact length of a diagonal across a square with sides of length 1, we encounter incommensurables, such as the square root of 2. "

math number

Related Words

diagonal noun

/daɪˈæɡnəl/

A line joining non-adjacent vertices of a polygon.

"The teacher drew a square on the board and then added a diagonal to connect the opposite corners. "

incommensurable noun

/ɪnkəˈmɛnsjʊəɹəbəl/

An incommensurable value or quantity; an irrational number.

"Pi, the ratio of a circle's circumference to its diameter, is a famous example of an incommensurable. "

value noun

/ˈvæljuː/

The quality (positive or negative) that renders something desirable or valuable.

"The Shakespearean Shylock is of dubious value in the modern world."

irrational noun

/ɪˈɹæʃ.(ə.)nəl/

A real number that can not be expressed as the quotient of two integers, an irrational number.

"Pi is an irrational number. "

calculating verb

/ˈkælkjəˌleɪtɪŋ/ /ˈkælkjʊˌleɪtɪŋ/

To determine the value of something or the solution to something by a mathematical process.

"Calculate the square root of 3 to 10 decimal places."

exact verb

/ɪɡˈzækt/

To demand and enforce the payment or performance of, sometimes in a forcible or imperious way.

"to exact tribute, fees, or obedience from someone"

quantity noun

/ˈkwɑndədi/ /ˈkwɒn.tɪ.ti/ /ˈkwɑn(t)ɨti/

A fundamental, generic term used when referring to the measurement (count, amount) of a scalar, vector, number of items or to some other way of denominating the value of a collection or group of items.

"You have to choose between quantity and quality."

across noun

/əˈkɹɑs/ /əˈkɹɒs/ /əˈkɹɔs/

(crosswords, often in combination) A word that runs horizontally in the completed puzzle grid or its associated clue.

"I solved all of the acrosses, but then got stuck on 3 down."

encounter noun

/ɪnˈkaʊntə/ /ɪnˈkaʊntɚ/

A meeting, especially one that is unplanned or unexpected.

"Their encounter was a matter of chance."

square noun

/skwɛə(ɹ)/ /skwɛɚ/

A polygon with four sides of equal length and four right angles; an equilateral rectangle; a regular quadrilateral.

"The floor tiles were arranged in perfect squares. "

number noun

/ˈnʌmbə/ /ˈnʌmbɚ/ /ˈnʌmə/ /ˈnʌmɚ/

An abstract entity used to describe quantity.

"Zero, one, −1, 2.5, and pi are all numbers."

length noun

/lɛn(t)θ/

The distance measured along the longest dimension of an object.

"The length of the classroom is 20 meters. "