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searching for Inverse element 7 found (44 total)

alternate case: inverse element

Multiplicative order (624 words) [view diff] exact match in snippet view article find links to article

s > t, such that as ≡ at (mod n). Since a and n are coprime, a has an inverse element a−1 and we can multiply both sides of the congruence with a−t, yielding
Measurable group (372 words) [view diff] exact match in snippet view article find links to article
definition of a topological group, the group law and the formation of the inverse element is continuous, both operations are in this case also measurable from
Absolute value (algebra) (1,403 words) [view diff] exact match in snippet view article
sequence, and by taking pointwise inversion we can find a representative inverse element. Another theorem of Alexander Ostrowski has it that any field complete
Banach algebra (2,618 words) [view diff] exact match in snippet view article find links to article
singular in the given algebra A {\displaystyle A} have a multiplicative inverse element in a Banach algebra extension B . {\displaystyle B.} Topological divisors
Abelian group (5,261 words) [view diff] exact match in snippet view article find links to article
equation e ⋅ a = a ⋅ e = a {\displaystyle e\cdot a=a\cdot e=a} holds. Inverse element For each a {\displaystyle a} in A {\displaystyle A} there exists an
Hopf algebra (4,397 words) [view diff] exact match in snippet view article find links to article
means exactly that every element x ∈ H {\displaystyle x\in H} has an inverse element x − 1 ∈ H {\displaystyle x^{-1}\in H} with respect to the multiplication
Kaniadakis statistics (5,083 words) [view diff] exact match in snippet view article find links to article
}}x=x} 3. inverse element: x ⊗ κ x ¯ = x ¯ ⊗ κ x = I for x ¯ = κ − 1 sinh ⁡ ( κ 2 / a r c s i n h ( κ x ) ) {\displaystyle {\text{3. inverse element:}}\quad