f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
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.
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.
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.
it is called circle because it is circular. circular means smooth, rounded edges. a circle matches that description.
a line that deviates from straightness in a smooth continuous fashion.... it is a line w/ is not straight...
The technique of creating a smooth and continuous gliding effect in music is called "legato."
No it is not.
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.
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
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.
produce smooth, continuous muscle contraction
The endoplasmic reticulum
direct relationship.
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.
The moons smooth parts are called Maria
A smooth stone is called a buttockslim and a smooth stone with banded layers is called a bandedass. Horse Isle Answer: Agate