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What is piecewise smooth function?

f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]


Condition for the continuity and differentiablity of a function?

An intuitive answer (NOTE: this is far from precise!) A function is continuous if you can trace its graph without lifting your pencil from the page. If, additionally, it is smooth everywhere without any jagged edges or abrupt corners, then it is differentiable. It is not possible for a function to be differentiable but not continuous. On the other hand, plenty of functions are continuous without being differentiable.


Can a exponential function be discrete or continuous?

Exponential functions are typically considered continuous because they are defined for all real numbers and have a smooth curve. However, they can also be represented in a discrete form when evaluated at specific intervals or points, such as in the context of discrete-time models. In such cases, the function takes on values at discrete points rather than over a continuous range. Thus, while exponential functions are inherently continuous, they can be adapted to discrete scenarios.


What is a continuous sentiouse?

A continuous sinewave is a smooth, periodic oscillation that can be described mathematically by the sine function. It is characterized by its amplitude, frequency, and phase, representing a consistent and unbroken wave shape over time. In various applications, such as sound waves and electrical signals, continuous sinewaves are fundamental due to their predictable behavior and ability to represent complex signals through Fourier analysis.


Why is circle called a circle?

it is called circle because it is circular. circular means smooth, rounded edges. a circle matches that description.

Related Questions

What is curved line?

a line that deviates from straightness in a smooth continuous fashion.... it is a line w/ is not straight...


What is the technique of creating a smooth and continuous gliding effect in music called?

The technique of creating a smooth and continuous gliding effect in music is called "legato."


Is matter smooth and continuous?

No it is not.


What is the technique used in music to create a smooth and continuous gliding effect between two notes, known as a glissando?

The technique used in music to create a smooth and continuous gliding effect between two notes, known as a glissando, is called sliding or sliding technique.


What is piecewise smooth function?

f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]


What do you call a light spectrum that is not continuous?

A light spectrum that is not continuous is called a discrete or discontinuous spectrum. This means that instead of a smooth progression of colors, there are distinct individual colors or wavelengths present in the spectrum.


What is the primary function of wave summation?

produce smooth, continuous muscle contraction


Is smooth ER continuous with the nuclear envelope?

The endoplasmic reticulum


Is shown by a continuous smooth curve rising from left to right on a scatterplot?

direct relationship.


Why does the world appear smooth and continuous rather than grainy as described by quantum physics?

The macroscopic world appears smooth and continuous because the effects of quantum physics become negligible at larger scales. Quantum effects are more pronounced at the microscopic level, where particles exhibit wave-particle duality and uncertainty. This leads to the appearance of granularity at the quantum level, but at larger scales, classical physics take precedence, giving rise to a smooth and continuous appearance.


What is the smooth part of the moon called?

The moons smooth parts are called Maria


What is a smooth stone with banded layers is called what?

A smooth stone is called a buttockslim and a smooth stone with banded layers is called a bandedass. Horse Isle Answer: Agate