In mathematics, the oscillation of a function or a sequence is a number that quantifies how much a sequence or function varies between its extreme values as it approaches infinity or a point. As is the case with limits there are several definitions that put the intuitive concept into a form suitable for a mathematical treatment: oscillation of a sequence of real numbers, oscillation of a real valued function at a point, and oscillation of a function on an interval (or open set).
Definitions
Oscillation of a sequence
Let be a sequence of real numbers. The oscillation of that sequence is defined as the difference (possibly infinite) between the limit superior and limit inferior of :
The oscillation is zero if and only if the sequence converges. It is undefined if and are both equal to +∞ or both equal to −∞, that is, if the sequence tends to +∞ or −∞.
Oscillation of a function on an open set
Let be a real-valued function of a real variable. The oscillation of on an interval in its domain is the difference between the supremum and infimum of :
This suggests that these oscillations play an important role in maintaining syllable sequences in short-term memory ... The study, “Lower nonword syllable sequence repetition accuracy in adults who ...
They recruited 45 participants between 20 to 59 years old and used MEG to compare the neural oscillations of 18 regular cannabis users and 23 nonuser controls while they performed a motor sequencing task.
“In SN 2022jli’s data we see a repeating sequence of brightening and fading,” he said. “This is the first time that repeated periodic oscillations, over many cycles, have been detected in a supernova light curve.”.
(No spoilers ... The thriller cooks up a question ... The film throws at her curveballs- there is an almost single-take dance sequence that oscillates between playful and mysterious, tight close ups of her crying, terrified and puzzled ... .
... sequence of brightening and fading.” Moore added that this is the first instance where repeated periodic oscillations over many cycles have been detected in a supernova’s light curve.
As the overall brightness declines, it doesn't do so smoothly, but instead oscillates up and down every 12 days or so. "In SN 2022jli's data we see a repeating sequence of brightening and fading," says ...
“In SN 2022jli’s data we see a repeating sequence of brightening and fading. This is the first time that repeated periodic oscillations, over many cycles, have been detected in a supernova light ...
The main aim of this observational campaign was to detect gravity-mode oscillations in the cluster's early-type main-sequence members ... five eclipsing binaries, and three post-main-sequence stars.
A first example comes from the innovative SuzukiFloatingRideControl (SFRC) technology, which modifies the suspension hydraulics to allow them to better copy any bumps that may occur in sequence, thus limiting the bike's oscillations ....
An oscillator is something that periodically repeats the same pattern of activity, like the sequence of steps in a repetitive dance, and coupled oscillators are ones that can influence each other’s behaviour.
An oscillator is something that periodically repeats the same pattern of activity, like the sequence of steps in a repetitive dance, and coupled oscillators are ones that can influence each other’s behavior.
An oscillator is something that periodically repeats the same pattern of activity, like the sequence of steps in a repetitive dance, and coupled oscillators are ones that can influence each other's behavior.
The initial episodes of “Moving” oscillate between light-hearted moments and intense action sequences ... As the plot thickens, action sequences escalate, introducing nail-biting moments ... READ MORE..Secret Invasion.
It’s an 8-bit digital synth and sequencer inspired by video games of the early PC era, which had to do a lot with incredibly little ...There are four freely tunable oscillators with 16 waveforms to choose from ... The sequencer is basic, too.