With the reduced state variables, i. e. V < sub > r </ sub >= V < sub > m </ sub >/ V < sub > c </ sub >, P < sub > r </ sub >= P / P < sub > c </ sub > and T < sub > r </ sub >= T / T < sub > c </ sub >, the reduced form of the Van der Waals equation can be formulated:

With this stratagem, it is not necessary to check the value of i against the list length n: even if x was not in A to begin with, the loop will terminate when i =

With no way to lock the hammer back, DAO designs tend to have bobbed or spurless hammers, and may even have the hammer completely covered by the revolver's frame ( i. e., shrouded or hooded ).

With a triple-extension bellows 4 " × 5 " camera such as the Linhof SuperTechnika V, the photographer can correct certain distortions such as ' keystoning ', where the image ' lines ' converge ( i. e., photographing a building by pointing a typical camera upward to include the top of the building ).

With optical imaging devices, for example, it is the Fourier transform of the point spread function ( hence a function of spatial frequency ) i. e. the intensity distribution caused by a point object in the field of view.

) These items were referred to in the French, German and Polish titles of the series, Chapeau melon et bottes de cuir (" Bowler hat and leather boots "), Mit Schirm, Charme und Melone (" With Umbrella, Charm and Bowler Hat ") and Rewolwer i melonik (" A Revolver and a Bowler Hat "), respectively.

With the reorganization of 1965 all attack forces, i. e., the fast torpedo boats, were combined into a single flotilla ( the 6th Flotilla ) and stationed on the Bug peninsula of the island of Rügen.

Thus, in traditional use, the term “ free ” was attached to Gibbs free energy, i. e., for systems at constant pressure and temperature, or to Helmholtz free energy, i. e., for systems at constant volume and temperature, to mean ‘ available in the form of useful work .’ With reference to the Gibbs free energy, we add the qualification that it is the energy free for non-volume work.

With the aperture function which is 1 for transparent parts of the object plane and 0 otherwise ( i. e. It is 0 if the direct line between source and the point on the screen passes through the blocking circular object.

With ( 2 ), convex preferences imply that the indifference curves cannot be concave to the origin, i. e. they will either be straight lines or bulge toward the origin of the indifference curve.

With a perfect conductor ( i. e., zero resistivity ), all of the current would flow at the surface, with no penetration into and through the conductor.

With this information in hand, you can objectively determine which teams are under-valued ( i. e. they are bid below fair value ) and attempt to purchase them.

With the hand-over of power to the Iraqi government, if one does not consider the coalition forces to be continuing parties to the conflict in Iraq, but that their soldiers are sent by a State which is not a Party to the conflict on official duty as a member of its armed forces ( APGC77 Art 47. f ), then, unless U. S. citizens working as armed guards are lawfully certified residents of Iraq, i. e., a resident of territory controlled by a Party to the conflict ( APGC77 Art 47. d ), and they are involved with a fire-fight in the continuing conflict, they are mercenary soldiers.

With this in hand, the proof becomes easy: the ( filter generated by the ) image of an ultrafilter on the product space under any projection map is an ultrafilter on the factor space, which therefore converges, to at least one x < sub > i </ sub >.

With regard to coil composition, the core material may be either a magnetically inert substrate ( i. e., the so-called ‘ air-core ’ coil design ), or possess a solid, ferromagnetically active material ( ie, the so-called ‘ solid-core ’ design ).

With the former definition, an " open universe " may either be an open manifold, i. e. one that is not compact and without boundary, or a closed manifold, while a " closed universe " is necessarily a closed manifold.

With further reference to the " sign of life ", i. e. the infinity symbol and its connection with the number 8, it may be remembered that Christian Gnosticism speaks of rebirth in Christ as a change " unto the Ogdoad.

With Martin Zeiler ( 1589-1661 ), a German geographer, and later ( circa 1640 ) with his own son, Matthäus Merian ( der Jüngere, i. e. " the Younger " or " Jr .") ( 1621-1687 ), he produced a series of Topographia.

< tr >< td > Carl XVI Gustaf < td > 1973-present < td > För Sverige i tiden < td > For Sweden – With the Times

* 1988-2003: With Carrefour Group, i positive

With this $ 11bn it buys all the shares of an underperforming company, XYZ Industrial ( after due diligence, i. e. checking the books ).

With the decline of Arabic culture, many used the aljamiado writing system, i. e., Castilian or Aragonese texts in Arabic writing with scattered Arabic expressions.

With every leaping stride of the horse beneath him he crossed one more patch of earth that had been his, that he would never see again.

With distaste I saw him assume a pompous air.

With Maria and me, there's never any problem.

With him were Hank Maguire, Luis Hernandez, and Luis's son Pedro.

With Red Hogan, he rode to the Welcome Cafe.

With a roar of pain and fury Jess made his attack.

With Rod on his way and Matilda visiting with Mrs. Jackson while they searched out familiar names on the face of the cliff, Harmony settled on the edge of the grub box, to ease the pressure of her swollen body on her bone-weary legs, and worried about all that might have happened to Sally.

With a swift swoop of his big arms, he grabbed Sally out of the circle surrounding him, and then kissed her soundly before setting her down so she could stand by his side while they jointly chose the rest of their `` outfit ''.

With a bellow Carmer lunged at him.

With their load of bombs gone, the planes moved swiftly and easily.

With the rapid rate of closure, the approach from below, the side, and ahead, there would be only a moment when damage could be done.

With this realization, sometimes, he saw himself as he looked down.

With Ramey it was a dusty work shoe that was half-off the Indian's foot that he would always remember.

With a thoughtful look, the man sat on the pavement, legs straight out in front of him.

With all respect to a fine young man, Mr. Roy is not able to provide these necessaries ''.

With a sudden decisiveness he lurched in Matsuo's direction, crossing the meadow in a zigzagging gallop.

With a snakestrike motion he grasped the hair, and, twisting, pulled the marine over on his back.

With a firm grip on the man's hair Matsuo applied the blade flat on a cheek.

With one hand she held her skirt down while she took Jack's extended hand with the other.

With a lordly and generous gesture, the discoverer stood up and beckoned to the closest of his fellows.

With new mechanization the modern farmer must perform the work of six men: a machine stands between the agrarian and his soil.

With the group of boys it is different.

With classical art, all is settled.

With lyrical intensity they reveal what they hate, but their faith in love, inspired by the revolutionary rhythms of jazz, culminates in the climax of the orgasm.

I looked unceasingly With my cold mind and with my burning heart ''.