These results might be weaker than, equivalent to, or stronger than the axiom of choice, depending on the strength of the technical foundations.

These bonds, which are stronger than the sp < sup > 3 </ sub > bonds found in alkanes and diamond, provide nanotubes with their unique strength.

These conventions generally provide stronger ties between congregations, including some doctrinal direction and pooling of financial resources.

These composite bows, made of several layers, are much stronger and more efficient in releasing energy than simple wooden bows.

These are now independent and many of them are stronger than the former " mother " churches.

These measures did not contribute to any notable increase in support for the government, because the mujahideen had a stronger legitimacy to protect Islam than the government ; they had rebelled against what they saw as an anti-Islamic government, that government was the PDPA.

These links became stronger after the tenth century A. D.

These magnets are cheaper, lighter, and stronger than samarium-cobalt magnets.

These skills were taught first by a group of self-styled " sophists " who were known to charge fees, to " make the weaker argument the stronger ," and to make their students " better " through instruction in excellence.

These semantics are stronger than safe semantics but weaker than atomic semantics: they guarantee that there is a total order to the write operations which is consistent with real-time and that read operations return either the value of the last completed write or that of one of the writes which are concurrent with the read.

These stronger materials enabled the production of oversized rackets that yielded yet more power.

These particles interact through the weak force and gravity, and possibly through other interactions no stronger than the weak force.

These may include pressor beams ( a stronger pressor beam will counteract a weaker tractor beam ) or plane shears aka shearing planes ( a device to " cut " the tractor beam and render it ineffective ).

These differences from men make social capital more personable and impressionable to women audiences thus creating a stronger presence in regards to political engagement.

These factors all contribute to the ability of the whole cocoon to be unravelled as one continuous thread, permitting a much stronger cloth to be woven from the silk.

These cars also got stronger " 5 mph " bumpers that added an inch to the length of the car.

These type of storms are stronger than the single-cell storm, yet much weaker than the supercell storm.

These oxides react in the rain water to produce stronger acids and can lower the pH to 4. 5 or even 3. 0.

These magnetic fields are hundreds of millions of times stronger than any man-made magnet, and quadrillions of times more powerful than the field surrounding Earth.

These castles formed a base for the royal sheriff, responsible for enforcing royal justice in the relevant shire ; the role of the sheriff became stronger and clearer as the century progressed.

These do not provide a resolution to Hilbert's second question, however, because someone who doubts the consistency of Peano arithmetic is unlikely to accept the axioms of set theory ( which is much stronger ) to prove its consistency.

These domes were stronger, had a steeped angle, and could cover larger areas than the shallow cloister vaults.

Alkylamides bind particularly to human CB2 and to a much lesser degree to CB1 cannabinoid receptors ; as a result they are implicated in a variety of modulatory functions, including immune suppression, induction of apoptosis, cell migration and inhibition of tumor necrosis factor α TNF-alpha These Alkylamides have similar potency to that of THC at the CB2 receptor, with THC being around 1. 5 times stronger (~ 40 nm vs ~ 60 nm affinities ).

These are usually rather mild, and stronger profanity is expressed using words and expressions related to Catholicism and its liturgy.

These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.

These destructive forces also have a seriously adverse effect upon the watersheds and their life-supporting waterflows, and upon the other renewable forest resources.

These increased costs are partially offset by a decrease of $56 million in expenditures for the reserve forces, largely because of the planned reduction in strength of the Army Reserve components during 1961.

These droplets are distorted by the normal forces just as a balloon would be pulled or pressed out of shape in one's hands.

These are the centuries in which the inhabitants of the Aegean world settled firmly into their minds and into their institutions the foundations of the Hellenic outlook, independent of outside forces.

These balls are moving in great circles and ellipses, and are of course, the electrons, the particles of negative electricity which by their action create the forces that tie this atom of calcium to the neighboring atoms of oxygen and make up the solid structure of my finger bone.

These latter two became the determining forces of Chinese thought until the introduction of Buddhism.

These gentle forces upon the imagination cause the viewer to have strong beliefs in outcomes.

These can decide everything from how many steps a player moves their token, as in Monopoly, to how their forces fare in battle, such as in Risk, or which resources a player gains, such as in The Settlers of Catan.

These are by far the largest forces needed for any Beethoven symphony ; at the premiere, Beethoven augmented them further by assigning two players to each wind part.

These two forces add to make a resultant at an angle φ from the vertical given by

These spherical particles precipitate in highly siliceous pools in Australia and elsewhere, and form these highly ordered arrays after years of sedimentation and compression under hydrostatic and gravitational forces.

These include eliminating the positions of appointed senators and senators for life, granting the President authority to remove the commanders-in-chief of the armed forces, and reducing the presidential term from six to four years while also disabling immediate re-election.

These are the issue of Royal Prerogative where the reigning monarch may continue to exercise power under certain very limited circumstances, Sovereign Immunity where they are considered to have done no wrong under the law, and may avoid both taxation and planning permission for example, and considerable ceremonial power where the executive, judiciary, police and armed forces owe allegiance to the Crown.

These may involve a combination of chemical processes, erosion from water, tectonic forces, microorganisms, pressure, atmospheric influences, and even digging.

These latter two became the determining forces of Chinese thought until the introduction of Buddhism.

These forces arise from the presence of the body in force fields, e. g. gravitational field ( gravitational forces ) or electromagnetic field ( electromagnetic forces ), or from inertial forces when bodies are in motion.

These changes can be caused by processes internal to the Earth, external forces ( e. g. variations in sunlight intensity ) or, more recently, human activities.

These include scouting, skirmishing with enemy reconnaissance elements to deny them knowledge of own disposition of troops, forward security, offensive reconnaissance by combat, defensive screening of friendly forces during retrograde movement, retreat, restoration of command and control, deception, battle handover and passage of lines, relief in place, linkup, breakout operations, and raiding.

These forces must balance so

These cultural forces will not contend with state-based armies in the traditional way.

These myths tend to emphasize creative forces as animistic in nature rather than sexual, and depict the sacred as the elemental and integral component of the natural world.