English Dictionary

bijective

形容詞

比較不可 地図学

(mathematics, of a map) Both injective and surjective. / (mathematics) Having a component that is (specified to be) a bijective map; that specifies a bijective map.

日本語の意味

全単射：数学で、写像が単射（同一値をもたない）かつ全射（定義域すべてに値が写される）であることを意味する。 / 写像が一対一かつ対応関係が確立している状態を示す。

To prove the theorem, we demonstrated that the function f is bijective, which ensures the existence of a unique inverse.

定理を証明するために、関数fが全単射であることを示し、それが一意の逆写像の存在を保証する。

意味（1）

(mathematics, of a map) Both injective and surjective.

Then, by a straightforward, computable, bijective numerical coding, this idealized FORTRAN determines an EN. (Note: In this FORTRAN example, we could have omitted restrictions on I/O and instead used a computable, bijective, numerical coding for inputs and outputs to get another EN determined by FORTRAN.)

意味（2）

(mathematics) Having a component that is (specified to be) a bijective map; that specifies a bijective map.

Proving the conjecture is equivalent to constructing a PCP that reads 2 symbols and accepts iff these symbols satisfy a bijective constraint.