ideal

B2 · Upper Intermediate

adj. existing only in your mind or as an idea, rather than in the real world.

adj. existing as a mental conception or abstract model rather than in physical reality.

“In an ideal world, nobody would ever be hungry or lonely.”

“The physicist described an ideal gas to simplify the initial calculations, acknowledging that real-world variables would be introduced later.”

B1 · Intermediate Countable noun

n. a principle or a way of behaving that is of the highest standard.

n. a standard of perfection or excellence that is used as a model or goal.

日本語:理想※

“The young doctor worked hard to live up to her high ideals.”

“The political movement was founded on the ideals of equality and justice, though its leaders often struggled with the practicalities of governance.”

C2 · Proficiency Countable noun Mathematics Technical

n. a special group of numbers or elements within a larger mathematical system.

n. a subring with specific closure properties under multiplication by any element of the parent ring.

“The professor explained how to find the principal ideal of the ring.”

“The researcher demonstrated that every ideal in a Noetherian ring is finitely generated, a fundamental result in commutative algebra.”