Logical Analysis Report
Key Focus
- A relatively bushy (more complex) branching structure such as a tree, for example, would have a higher fractal dimension than a leaner (less complex) one.
Another common metric of complexity, known as "multiscale entropy," typically applies to processes, such as the beat-to-beat variability of your heart rate or the moment-to-moment postural shifts your body makes when balancing in a standing position. Multiscale entropy calculates the likelihood that a measured pattern repeats over various scales of time
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High Level Topics
POSTURALFRACTAL-LIKESCALESHigh Level Abstractions
POSTURAL(2, 0 Order)( POSTURAL )(2, 0 Order) top( POSTURAL, MULTISCALE )(1, 1st Order) top( POSTURAL, BALANCING )(1, 1st Order) topFRACTAL-LIKE(2, 0 Order)( FRACTAL-LIKE )(2, 0 Order) top( FRACTAL-LIKE, VARIOUS )(1, 1st Order) top( FRACTAL-LIKE, VARIABILITY )(1, 1st Order) top( FRACTAL-LIKE, SELF-SIMILAR )(1, 1st Order) top( FRACTAL-LIKE, SCALES )(1, 1st Order) top( FRACTAL-LIKE, PATHWAYS )(1, 1st Order) top( FRACTAL-LIKE, OSCILLATIONS )(1, 1st Order) top( FRACTAL-LIKE, ORGANS )(1, 1st Order) top( FRACTAL-LIKE, FRACTALS )(1, 1st Order) topSCALES(3, 0 Order)( SCALES )(3, 0 Order) top( SCALES, VARIOUS )(2, 1st Order) top( SCALES, VARIOUS, REPETITION )(1, 2nd Order) top( SCALES, VARIOUS, PATHWAYS )(1, 2nd Order) top( SCALES, VARIOUS, ORGANS )(1, 2nd Order) top( SCALES, VARIOUS, FRACTAL-LIKE )(1, 2nd Order) top( SCALES, REPETITION )(1, 1st Order) top( SCALES, TICK )(1, 1st Order) top( SCALES, SINUSOIDAL )(1, 1st Order) top( SCALES, PATHWAYS )(1, 1st Order) top( SCALES, ORGANS )(1, 1st Order) top( SCALES, METRONOME )(1, 1st Order) topReferences- ( POSTURAL ) top
- ( POSTURAL, MULTISCALE ) top
- (Read more) top ... such as the beat-to-beat variability of your heart rate or the moment-to-moment postural shifts your body makes when balancing in a standing position. Multiscale entropy calculates the likelihood that a measured pattern repeats over various scales of time
- ( POSTURAL, BALANCING ) top
- (Read more) top ... entropy," typically applies to processes, such as the beat-to-beat variability of your heart rate or the moment-to-moment postural shifts your body makes when balancing in a standing position. Multiscale entropy calculates the likelihood that a measured pattern repeats over various scales of time
- ( FRACTAL-LIKE ) top
- ( FRACTAL-LIKE, VARIOUS ) top
- (Read more) top
A large and growing body of research suggests that biological complexity diminishes with aging, as various tissues and organs, and their communication pathways, gradually break down - ( FRACTAL-LIKE, VARIABILITY ) top
- (Read more) topContrary to what you might expect, these fluctuations don't follow regular, or periodic, patterns, but instead show a complex type of variability.what's known as "deterministic chaos." Although the oscillations are irregular, they appear self-similar when observed over seconds, minutes, hours,...
- ( FRACTAL-LIKE, SELF-SIMILAR ) top
- (Read more) top... but instead show a complex type of variability.what's known as "deterministic chaos." Although the oscillations are irregular, they appear self-similar when observed over seconds, minutes, hours, or days.
One way to measure the complexity of a fractal-like structure is to compute its "fractal... - ( FRACTAL-LIKE, SCALES ) top
- (Read more) top Patterns likely to have similarities across many different time scales, however, are more fractal-like, and hence more complex.
A large and growing body of research suggests that biological complexity diminishes with... - ( FRACTAL-LIKE, PATHWAYS ) top
- (Read more) top
A large and growing body of research suggests that biological complexity diminishes with aging, as various tissues and organs, and their communication pathways, gradually break down. - ( FRACTAL-LIKE, OSCILLATIONS ) top
- (Read more) top... follow regular, or periodic, patterns, but instead show a complex type of variability.what's known as "deterministic chaos." Although the oscillations are irregular, they appear self-similar when observed over seconds, minutes, hours, or days.
One way to measure the complexity of a fractal-like... - ( FRACTAL-LIKE, ORGANS ) top
- (Read more) top
A large and growing body of research suggests that biological complexity diminishes with aging, as various tissues and organs, and their communication pathways, gradually break down. - ( FRACTAL-LIKE, FRACTALS ) top
- (Read more) top." Fractals exhibit a property called "power-law scaling": The smaller the measuring scale, the larger an object's length
- ( SCALES ) top
- ( SCALES, VARIOUS ) top
- ( SCALES, VARIOUS, REPETITION ) top
- (Read more) topMultiscale entropy calculates the likelihood that a measured pattern repeats over various scales of time. Patterns with very low likelihood of repetition, such as white noise or randomness, aren't very complex.
- ( SCALES, VARIOUS, PATHWAYS ) top
- (Read more) topSee ( FRACTAL-LIKE , PATHWAYS )
- ( SCALES, VARIOUS, ORGANS ) top
- (Read more) topSee ( FRACTAL-LIKE , ORGANS )
- ( SCALES, VARIOUS, FRACTAL-LIKE ) top
- (Read more) top Patterns likely to have similarities across many different time scales, however, are more fractal-like, and hence more complex.
A large and growing body of research suggests that biological complexity diminishes with aging, as various tissues and... - ( SCALES, REPETITION ) top
- (Read more) topSee ( SCALES , VARIOUS , REPETITION )
- ( SCALES, TICK ) top
- (Read more) top Neither are patterns with high likelihood of repetition over a single time scale, such as the sinusoidal tick of a metronome. Patterns likely to have similarities across many different time scales, however, are more fractal-like, and hence more complex.
A... - ( SCALES, SINUSOIDAL ) top
- (Read more) top Neither are patterns with high likelihood of repetition over a single time scale, such as the sinusoidal tick of a metronome. Patterns likely to have similarities across many different time scales, however, are more fractal-like, and hence more complex.
A... - ( SCALES, PATHWAYS ) top
- (Read more) topSee ( FRACTAL-LIKE , PATHWAYS )
- ( SCALES, ORGANS ) top
- (Read more) topSee ( FRACTAL-LIKE , ORGANS )
- ( SCALES, METRONOME ) top
- (Read more) top Neither are patterns with high likelihood of repetition over a single time scale, such as the sinusoidal tick of a metronome. Patterns likely to have similarities across many different time scales, however, are more fractal-like, and hence more complex.
A large and growing...