In differential geometry, systolic freedom refers to the fact that closed Riemannian manifolds may have arbitrarily small volume regardless of their systolic invariants.
That is, systolic invariants or products of systolic invariants do not in general provide universal (i.e. curvature-free) lower bounds for the total volume of a closed Riemannian manifold.
Systolic freedom was first detected by Mikhail Gromov in an I.H.É.S. preprint in 1992 (which eventually appeared as Gromov 1996), and was further developed by Mikhail Katz, Michael Freedman and others. Gromov's observation was elaborated on by Marcel Berger (1993). One of the first publications to study systolic freedom in detail is by Katz (1995).
Systolic freedom has applications in quantum error correction. Croke & Katz (2003) survey the main results on systolic freedom.
geometry, systolicfreedom refers to the fact that closed Riemannian manifolds may have arbitrarily small volume regardless of their systolic invariants...
In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed...
Francis. Freedman, Michael H.; Meyer, David A.; Luo, Feng (2002). "Z2-Systolicfreedom and quantum codes". Mathematics of quantum computation. Comput. Math...
peculiar insertion of chords on the leaflet free margin, however, provides systolic stress sharing between chords according to their different thickness. The...
become office executive under H. G. Peter. Marston was the creator of the systolic blood pressure test, which became one component of the modern polygraph...
cholesterol and fasting glucose levels, improve HbA1C levels, and lower systolic and diastolic blood pressure. A study from 2022 showed that lifestyle interventions...
cardiometabolic risk factors are highly prevalent, including metabolic syndrome, systolic blood pressure that is higher than 140mmHg, low fruit and vegetable intake...
return it until two days later. The medical personnel found that Reagan's systolic blood pressure was 60 compared to the normal 140, indicating that he was...
risk score and other cardiovascular risk factors such as lipids profile, systolic blood pressure, weight, BMI and waist circumference in subjects with a...
before, during and after World War I, on understanding and perfecting the systolic blood-pressure test while working on his Ph.D. in psychology at Harvard...
of resistant hypertension failed to show any significant reduction in systolic blood pressure. Radiofrequency ablation is a dermatosurgical procedure...
systemic circulation. Blood pressure is usually expressed in terms of the systolic pressure (maximum during one heartbeat) over diastolic pressure (minimum...
released in October 1941), scripted by Marston. Marston was the creator of a systolic-blood-pressure-measuring apparatus, which was crucial to the development...
Multifeedback Analog-inspired forms such as Sallen-key and state variable filters Systolic arrays Digital filters are not subject to the component non-linearities...
are apparent as males tend to develop "larger hearts and lungs, higher systolic blood pressure, a lower resting heart rate, a greater capacity for carrying...
Baltimore, racism has a correlation with health complications, such as high systolic blood pressure. Likewise, a study held from 1997 to 2003 found that racism...
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