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Quxian English

Curve is: curve in English.

Bilingual example:

Her spine is bent.

Her spine is bent.

Like a telescope, it has a curved mirror to collect sunlight.

Like a telescope, it has a curved mirror to gather sunlight.

Curved glass has a magnifying effect, just like a lens. ?

Curved glass is like a lens, which has the function of magnifying.

The wake of the ship presents a slightly curved line, which is highlighted by the soft tone of the oil slick.

The stern is slightly curved, and the soft color of the oil slick highlights this feeling.

This invention is the arch, an arc-shaped structure originally composed of individual stones or bricks.

The invention is an arch, an arc-shaped structure originally composed of segmented stones or bricks.

The ball does follow a smooth curve, so why does the batter sometimes seem to swing so foolishly?

The ball does follow a smooth and winding road, so why do batters sometimes seem so stupid when swinging?

Irving fisher also drew a curve, which is the boundary of the possibility of social production. He drew it downward.

Owen Fisher also drew a curve, a social production possibility frontier, and he made it bend downward.

This feat is not just a living room trick, it can help people imagine how light propagates in a curved space structure.

This feat is not just a trick in the living room, it can help people imagine how light propagates in the curved space structure.

This is a sculpture carved with mammoth tusks. It must be at the end of tusks, because it is thin and a little curved. ?

This is a sculpture carved from mammoth ivory. It must be near the end of ivory, because it is slender and slightly curved.

10. Last year, an anchor weighing seven stones was found in this place after the digger dug out the curved wood dug by the backhoe.

Last year, an anchor weighing seven stones was found after the excavator excavated the bent wood.

Brief introduction of curve:

Curve is one of the main objects of differential geometry research. Intuitively, the curve can be regarded as the trajectory of particle motion in space. Differential geometry is a subject that uses calculus to study geometry. In order to apply the knowledge of calculus, we can't consider all curves, even continuous curves, because continuity is not necessarily differentiable.

This requires us to consider differentiable curves. But differentiable curves are not very good, because there may be some curves whose tangent direction is uncertain at a certain point, which makes it impossible for us to start from the tangent. This requires us to study this kind of curve whose derivative is not zero everywhere, which we call regular curve. Regular curve is the main research object of classical curve theory.