# If morality is objective and absolute, God must exist.

If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.

" If psychiatry is the medical technique that aims to enable man no longer to be a stranger to his environment, I owe it to myself to affirm that the Arab, permanently an alien in his own country, lives in a state of absolute depersonalization .” ( 2 )

" If we cannot move on to point B until we have proved point A, and if in order to prove point A we must establish it with absolute certainty, then it looks as though we will have a very hard time proving any point at all.

If the two input signals are both sinusoids of specified frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub >, then the output of the mixer will contain two new sinsoids that have the sum f < sub > 1 </ sub > + f < sub > 2 </ sub > frequency and the difference frequency absolute value | f < sub > 1 </ sub >-f < sub > 2 </ sub >|.

If the parameter is the bull's-eye of a target, and the arrows are estimates, then a relatively high absolute value for the bias means the average position of the arrows is off-target, and a relatively low absolute bias means the average position of the arrows is on target.

If the ticking rate is everywhere almost this same, the fractional rate of change is the same as the absolute rate of change, so that:

If this sounds indulgent, it allows simultaneity, absolute space and time and a deterministic universe ( along with decoherence theory ) whilst the status-quo permits time travel / causality paradoxes, subjectivity in the measurement process and multiple universes.

If these bits are known ahead of transmission ( to be a certain value with absolute probability ), logic dictates that no information has been transmitted.

If the process pressure connection of an absolute pressure transmitter is open to the air, it will read the actual barometric pressure.

: 3 ) If a being has the power to resist its creator, then the creator does not have absolute power.

If the constituency is in a jurisdiction using PR-STV in its MMDs, an absolute majority of 50 % plus 1 will likely be the minimum required for victory ( depending on which quota is used ) so that the election in the SMD is by the alternative vote.

If the idea of absolute freedom and entire self-knowledge is absent from this kind of idea of God's acts in time, then God Himself is ( to express the idea anthropomorphically ) becoming something new, or discovering something new about Himself with each new moment, just as we are.

If we can prevent something bad without sacrificing anything of comparable significance, we ought to do it ; absolute poverty is bad ; there is some poverty we can prevent without sacrificing anything of comparable moral significance ; therefore we ought to prevent some absolute poverty.

If no candidate has an absolute majority of votes ( i. e. more than half ) in the first round, then the two candidates with the most votes proceed to a second round, from which all others are excluded.

If no candidate receives an absolute majority in the first round then the candidate ( s ) with the fewest number of votes is eliminated and excluded from further ballots.

If no single candidate has an absolute majority of votes then only the two highest polling candidates progress to the second count all other candidates are excluded and their votes redistributed according to the recorded preferences for continuing candidates.

If the Congress grants him confidence by absolute majority, the King then nominates him formally as " president of the Government "; if he or she fails to obtain absolute majority, the Congress waits 48 hours to vote again, in which case, a simple majority suffices.

If the instrument is designed to measure the spectrum in absolute units rather than relative units, then it is typically called a spectrophotometer.

If no party has an absolute majority, the leader of the largest party is given the first opportunity to form a coalition.

If the field K has an absolute value, then the weak topology σ ( X, F ) is induced by the family of

If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.

If it is assumed that the formula given by Lodge of cosec Af applies, the pressure difference along the major axes can be calculated from the angle of inclination of the major axis, and from this the interfacial tension can be calculated.

If the distant patron of the suburban branch has been frightened away from downtown by traffic problems, however, the city store can only pressure the politicians to do something about the highways or await the completion of the federal highway program.

If the wind blows into the mouth of a tube it causes an increase of pressure on one side of the manometer.

If the pressure in a system remains constant ( isobaric ), a vapor at saturation temperature will begin to condense into its liquid phase as thermal energy ( heat ) is removed.

If the heat of vaporization and the vapor pressure of a liquid at a certain temperature is known, the normal boiling point can be calculated by using the Clausius-Clapeyron equation thus:

If the Bastarnae remained an identifiable group, it is highly likely that they participated in the vast Gothic-led migration, driven by Hunnic pressure, that was admitted into Moesia by emperor Valens in 376 and eventually defeated and killed Valens at Adrianople in 378.

If the glass is damaged, atmospheric pressure can collapse the vacuum tube into dangerous fragments which accelerate inward and then spray at high speed in all directions.

If the core becomes sufficiently dense, electron degeneracy pressure will play a significant part in stabilizing it against gravitational collapse.

If the nominal compression ratio of an engine is given, the pre-ignition cylinder pressure can be estimated using the following relationship:

If a second compression test is performed shortly thereafter, and the new reading is much higher, it would be the ring seal that is problematic, whereas if the compression test pressure observed remains low, it is a valve sealing ( or more rarely head gasket, or breakthrough piston or rarer still cylinder wall damage ) issue.

If light pressure were the cause of the rotation, then the better the vacuum in the bulb, the less air resistance to movement, and the faster the vanes should spin.

If one component changes another component's vapor pressure, or if the volatility of a component is dependent on its percentage in the mixture, the law will fail.

If the difference in vapor pressure between the two components A and B is large ( generally expressed as the difference in boiling points ), the mixture in the beginning of the distillation is highly enriched in component A, and when component A has distilled off, the boiling liquid is enriched in component B.

If the partial pressure of A at x < sub > 1 </ sub > is P < sub > A < sub > 1 </ sub ></ sub > and x < sub > 2 </ sub > is P < sub > A < sub > 2 </ sub ></ sub >, integration of above equation,

If the bullets have to travel a varying distance from the case to the point where they engage the rifling, then this can result in variations in pressure and velocity.

If acceleration can be felt by a body as the force ( hence pressure ) exerted by the object bringing about the acceleration on the body, jerk can be felt as the change in this pressure.

If the air density and temperature are the same above and below a wing, a naive application of the ideal gas law requires that the pressure also be the same.

If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.

* Continuity: If a certain mass of fluid enters a volume, it must either exit the volume or change the mass inside the volume.

If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid.

If the ball has a rough surface, the fluid flowing past it will make it rotate.

If we choose the shape of the control volume such that all flow in or out occurs perpendicular to its surface, then the flow of matter into the system performs work as if it were a piston of fluid pushing mass into the system, and the system performs work on the flow of matter out as if it were driving a piston of fluid.

In 1951, he summed up his vision as follows: " If the camera is to make a contribution at all to dance, this must be the focal point of its contribution ; the fluid background, giving each spectator an undistorted and altogether similar view of dancer and background.

If the fluid is air, the force is called an aerodynamic force.

If the fluid being measured is significantly dense, hydrostatic corrections may have to be made for the height between the moving surface of the manometer working fluid and the location where the pressure measurement is desired except when measuring differential pressure of a fluid ( for example across an orifice plate or venturi ), in which case the density ρ should be corrected by subtracting the density of the fluid being measured.

If the baby then inhales the contaminated fluid, respiratory problems may occur.

If this fails then watermark fluid may be used, which " wets " the stamp to reveal the mark.

If the net force is greater than zero the fluid will move in the direction of the resulting force.

If the particles are falling in the viscous fluid by their own weight, then a terminal velocity, also known as the settling velocity, is reached when this frictional force combined with the buoyant force exactly balance the gravitational force.

If its density is similar to Amalthea's, Metis's orbit lies within the fluid Roche limit ; however, since it has not broken up, it must lie outside its rigid Roche limit.

If positive, fluid will tend to leave the capillary ( filtration ).

If negative, fluid will tend to enter the capillary ( absorption ).

If the brake fluid is old and has absorbed moisture it thus has a lower boiling point and brake fade occurs sooner.

If this treatment cannot be adequately maintained due to vomiting or the profuseness of diarrhea, hospital admission may be required for intravenous fluid replacement.

If the performance of tibial component needs to be analyzed, the principles of biotribology are used to determine the wear performance of the implant and lubrication effects of synovial fluid.