The-geodesic-flow-of-any-compact-Riemannian-mani

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# and geodesic

# The Cheeger-Gromoll splitting theorem states that if a complete Riemannian manifold with contains a line, meaning a geodesic γ such that for all, then it is isometric to a product space.

# The geodesic can be varied to a longer curve if another geodesic from intersects at another point, called a conjugate point.

# redirect geodesic curvature

A geodesic on an Football ( ball ) | American football illustrating the proof of Gromov's filling area conjecture in the hyperelliptic case ( see Systolic geometry # Filling area conjecture | explanation below ).

# we can ( in principle ) experimentally determine the curvature tensor of a spacetime from detailed observations of the kinematical behavior of any timelike congruence ( geodesic or not ),

# and flow

# A risk premium – reflects the extra return investors demand because they want to be compensated for the risk that the cash flow might not materialize after all.

# Financial position: is concerned with understanding the personal resources available by examining net worth and household cash flow.

# Second, analysis to find a measurable quantity within the network, for example, for a transportation network, the level of vehicular flow within any portion of it.

# Labor and capital flow freely between sectors

Newer programming languages like Java and C # have definite assignment analysis, a form of data flow analysis, as part of their static semantics.

# Air pressure from the lungs creates a steady flow of air through the trachea ( windpipe ), larynx ( voice box ) and pharynx ( back of the throat ).

# Heat regulation: increase perfusion and heatloss, while constricted vessels greatly reduce cutaneous blood flow and conserve heat.

# develop production technology in manufacturing flow to manufacture and integrate into the best supply chain flow for the product / market combination.

# increased tendency to laminar flow ;

# reduced resistance in turbulent flow.

# distinctness – in regards of evolutionarily relevant criteria, i. e. ecology, morphology, or biogeography ; note that DNA sequences are a consequence rather than a condition of diverging evolutionary lineages except in cases where they directly inhibit gene flow ( e. g. postzygotic barriers ).

# Heat flux, the rate of heat flow across a unit area ( J · m − 2 · s − 1 ).

# Volumetric flux, the rate of volume flow across a unit area ( m 3 · m − 2 · s − 1 ).

# Mass flux, the rate of mass flow across a unit area ( kg · m − 2 · s − 1 ).

# Human welfare is best served by improving the quality and flow of desired services delivered, rather than by merely increasing the total dollar flow.

# Poor blood flow to the kidneys.

# Lift coefficient ( C L or C Z ) ( Aerodynamics ) ( dimensionless )-Relates the lift generated by an airfoil with the dynamic pressure of the fluid flow around the airfoil, and the planform area of the airfoil.

# There is a history of edema, skin blood flow abnormality, or abnormal sweating in the region of the pain since the inciting event.

# Evidence at some time of edema, changes in skin blood flow, or abnormal sudomotor activity in the area of pain

# Evidence at some time of edema, changes in skin blood flow, or abnormal sudomotor activity in the region of pain

# a reduction of blood flow to the heart that can be caused by stenosis, spasm, or acute occlusion ( by an embolus ) of the heart's arteries.

# The enterohepatic circulation of bile acids may be altered and there is an increased flow of bile acids to the cecum, where they are deconjugated and 7alpha-dehydroxylated.

# Flow control is a control concept applied to workflows, to distinguish from static control of buffers of material or orders, to mean instead a more dynamic control of flow speed and flow volumes in motion and in process.

# and any

# for any formula with one free variable.

# It is not mentioned in any records of the ecumenical councils.

# It is only for two years ( 490 and 491 ) out of the twenty-five that any details are given.

# Adaptive stage-The person will not experience any negative symptoms, and believe they have capacity for alcohol.

# Background frequency of exposure to tuberculosis: In one hypothesis, in areas with high levels of background exposure to tuberculosis, every susceptible individual is already exposed prior to BCG, and the natural immunizing effect of background tuberculosis duplicates any benefit of BCG.

# Perform brain scans to observe any abnormal brain functioning using either CT or MRI scans

# In any spontaneous process, there is always an increase in entropy of the universe

# The fourth punishment was called referre in aerarios or facere aliquem aerarium, and might be inflicted on any person who was thought by the censors to deserve it.

# The intersection of any collection of convex sets is convex.

# any civil or military servicemen suspected of working for Imperial Russia ;

# any other person whose private property was valued at over 10, 000 rubles.

# Blockade: Use the US Navy to block any missiles from arriving in Cuba.

# any serious effort to make the world better requires some kind of organized effort ;

# is a valid element name, and an instance of such an element contains any number of elements.

# Are there any solutions?

# Are there any solutions beyond some that are easily found by inspection?

# what, if any, should be the laws of war

# These moral features of the world are not reducible to any set of non-moral facts.

# " To draw a straight line from any point to any point.

# " To describe a circle with any centre and distance.

# any measures taken in response must be " strictly required by the exigencies of the situation ", and

# Freshwater swamp forest – Natural forests with > 30 % canopy cover, composed of trees with any mixture of leaf type and seasonality, but in which the predominant environmental characteristic is a waterlogged soil.

# Lower montane forest – Natural forests with > 30 % canopy cover, between 1200 – 1800 m altitude, with any seasonality regime and leaf type mixture.

# Upper montane forest – Natural forests with > 30 % canopy cover, above altitude, with any seasonality regime and leaf type mixture.

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