The function f(x) is defined as
piecewise continuous on the interval [a, b] if it is continuous on [a, b], except for a finite number of points where the limit from the left and right exists and the function values and limits are finite.
函数f(x)在区间[a, b]上定义为分段连续的,如果它在[a, b]上连续,除了有限多个点之外,从左端和右端的极限存在,并且函数值和极限是有限的。
The signal can be modeled as a
piecewise constant function when it changes abruptly at certain instants.
当信号在某些瞬间突然变化时,可以将其建模为分段常数函数。
The temperature in the room was
piecewise constant, with sudden jumps whenever the heater turned on.
房间的温度是分段常数的,在加热器开启时会有突然的跳跃。
The
piecewise linear approximation to the curve is surprisingly accurate over a wide range of input values.
对曲线的分段线性近似在广泛的输入值范围内出乎意料地准确。
The voltage across the resistor was
piecewise linear, with sharp corners at each change in resistance.
电阻两端的电压是分段线性的,在每次电阻变化时都有尖角。
The speed of the car was
piecewise constant during the trip, with sudden changes when the driver accelerated or braked.
汽车在旅行期间的速度是分段常数的,在司机加速或刹车时有突然的变化。
The
piecewise quadratic function was used to model the trajectory of the ball as it bounced off the ground.
分段二次函数被用来模拟球弹地时的轨迹。
The
piecewise polynomial function was used to approximate the complex shape of the object.
分段多项式函数被用来近似物体复杂的形状。
The
piecewise exponential distribution was used to model the survival times of the patients.
分段指数分布被用来模拟患者的生存时间。
The
piecewise constant acceleration was used to model the motion of the projectile.
分段常数加速度被用来模拟抛射体的运动。
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