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View synonyms for quaternion

# quaternion

[ kw*uh*-**tur**-nee-*uh*n ]

## noun

- a group or set of four persons or things.
*Bookbinding.*four gathered sheets folded in two for binding together.*Mathematics.*- an expression of the form
*a*+*bi*+*cj*+*dk,*where*a,**b,**c,*and*d*are real numbers;*i*2 =*j*2 =*k*2 = −1; and*ij = −ji = k, jk = −kj = i,*and*ki = −ik = j.* - a quantity or operator expressed as the sum of a real number and three complex numbers, equivalent to the quotient of two vectors. The field of quaternions is not commutative under multiplication.

quaternion

/ kwəˈtɜːnɪən /

## noun

- maths a generalized complex number consisting of four components,
*x*=*x*0 +*x*1 i +*x*2 j +*x*3 k, where*x*,*x*0 …*x*3 are real numbers and i² = j² = k² = –1, ij = –ji = k, etc - another word for quaternary

quaternion

/ kwə-tûr**′**nē-ən /

- Any number of the form
*a*+*bi*+*cj*+*dk*where*a, b, c,*and*d*are real numbers,*ij*=*k, i*^{2}=*j*^{2}= −1, and*ij*= −*ji.*Under addition and multiplication, quaternions have all the properties of a field, except that multiplication is not commutative.

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## Word History and Origins

Origin of quaternion^{1}

1350–1400;

*Middle English**quaternioun*<*Late Latin**quaterniōn-*(stem of*quaterniō*), equivalent to*Latin**quatern*(*ī*) four at a time +*-iōn-*-ionDiscover More

## Word History and Origins

Origin of quaternion^{1}

C14: from Late Latin

*quaterniōn,*from Latin*quaternī*four at a timeDiscover More

## Example Sentences

Of course, each player also does his best to stop his opponent from forming his quaternion or file of four.

From Project Gutenberg

Keep forming threes as long as you can so as to force your opponent to stop the threatened quaternion.

From Project Gutenberg

His days are thus described: from dawn to the third hour he copied rapidly, filling a (quaternion) each day.

From Project Gutenberg

Even then the captain of the gate was replying to a question from the quaternion.

From Project Gutenberg

Should neither player be able to form a quaternion, then the game is drawn.

From Project Gutenberg

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