gyrocommutative

As a noun terms

is .

As an adjective gyrocommutative is

(mathematics|of a gyrogroup) whose binary operation obeys a $\backslash oplus$ b = gyr[a, b](b $\backslash oplus$ a).

Gyroassociative is a see also of gyrocommutative.

As an adjective gyrocommutative is

(mathematics|of a gyrogroup) whose binary operation obeys a $\backslash oplus$ b = gyr[a, b](b $\backslash oplus$ a).

As a noun operation

is operation (method by which a device performs its function).

As an adjective gyrocommutative is

(mathematics|of a gyrogroup) whose binary operation obeys a $\backslash oplus$ b = gyr[a, b](b $\backslash oplus$ a).

As adjectives the difference between binary and gyrocommutative

is that binary is being in a state of one of two mutually exclusive conditions such as on or off, true or false, molten or frozen, presence or absence of a signal while gyrocommutative is (mathematics|of a gyrogroup) whose binary operation obeys a $\backslash oplus$ b = gyr[a, b](b $\backslash oplus$ a).

As a noun binary

is (mathematics|computing|uncountable) the bijective base-2 numeral system, which uses only the digits.

As a noun gyrogroup

is (mathematics) a groupoid whose binary operation satisfies certain axioms, used with gyrovectors.

As an adjective gyrocommutative is

(mathematics|of a gyrogroup) whose binary operation obeys a $\backslash oplus$ b = gyr[a, b](b $\backslash oplus$ a).