Instead, with the topology of compact convergence, C ( a, b ) can be given the structure of a Fréchet space: a locally convex topological vector space whose topology can be induced by a complete translation-invariant metric.

Instead, gravity corresponds to changes in the properties of space and time, which in turn changes the straightest-possible paths that objects will naturally follow.

Instead, poetry and painting each has its character ( the former is extended in time ; the latter is extended in space ).

Instead, memory was interfaced by dedicated circuitry and space in the CPU cabinet, while the Unibus continued to be used for I / O only.

Instead, such versions maintain that it is meaningless ( or a category mistake ) to apply the categories of space and time to universals.

Instead, Newton argued, it must be a result of non-inertial motion relative to space itself.

Instead he came to the conclusion that space and time are not discovered by humans to be objective features of the world, but are part of an unavoidable systematic framework for organizing our experiences.

Instead, uniform continuity can be defined on a metric space where such comparisons are possible, or more generally on a uniform space.

Instead, many people use audio compression to save storage space and download time, even though a single-bit error may corrupt the entire song.

Instead, males choose the points at which several of the females ' home ranges overlap, creating a much smaller space, which can be properly defended against intruders while maximizing the chance of reproduction.

Instead, he defined " true " time and space as " absolute " and explained:

Instead, we can prove a theorem that gives us an easier way to show that a subset of a vector space is a subspace.

Instead, the prisoner of war camp setting is used as a space in which soldiers of many nations have a common experience.

Instead, the temperature at any given section of the rod remains constant, and this temperature varies linearly in space, along the direction of heat transfer.

Instead, the I / O registers are mapped into the data address space starting at the very beginning of the address space.

" Instead, it is hoped that a community center can be built at no cost to taxpayers alongside the retail and commercial space.

Instead the designs, including their focus on large stone keeps, were intended both to increase the prestige of the baronial owners and to provide adequate space for the administrative apparatus of the new territories.

Instead, they are expected to give rise to space and time at distances which are large compared to the Planck length.

Instead, the electrode tip may be left in continuity with the extracellular space.

Instead of hitting the ball towards the boundary or into open space, the batsman nicks the ball, thus sending it past the wickets.

Instead of sloping back, the car's trunk stood upright in a more traditional shape, increasing trunk space by another two cubic feet.

Instead of starting from theory and applying theory to a particular case, casuists start with the particular case itself and then ask what morally significant features ( including both theory and practical considerations ) ought to be considered for that particular case.

Instead of an immune response, the dying cell synthesizes substances to break itself down and places them in a vacuole which ruptures as the cell dies.

Instead, the philosopher encounters a problem :" Now, if the ' to be ' of a thing could be conceived apart from that which exists, it should be represented in our mind by some note distinct from the concept of the thing itself ....

Instead of being abstracted from individual perceptions, like empirical concepts, they originate in the mind itself.

Instead, for Fichte, if the ' I ' is to set itself off at all, it must simply discover itself to be limited, a discovery that Fichte characterizes as a repulse or resistance ( Anstoss ) to the free practical activity of the I.

Instead of saying that humans live on the outside surface of a hollow planet, sometimes called a " convex " hollow-Earth hypothesis, some have claimed that our universe itself lies in the interior of a hollow world, calling this a " concave " hollow-Earth hypothesis.

Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary ( diatomic ) hydrogen gas, H < sub > 2 </ sub >.

Instead he proposed that a revolutionary society should “ transform itself immediately into a communist society ,” that is, should go immediately into what Marx had regarded as the “ more advanced ,” completed, phase of communism.

Instead, the user agent emulates the behavior for some HTTP headers as if they had been sent in the response header itself.

Instead of accepting such fictions, we should recognise that the fact that a being is human, and alive, does not in itself tell us whether it is wrong to take that being's life.

Instead, the game and rules focused on parties of characters exploring the Ringworld itself, and, despite its vast size ( with a surface area larger than that of all of Known Space's inhabited planets put together ), many who bought the game felt limited by this one world setting.

Instead of an elf with pointed ears and repulsive goat hooves, we face a child of nature, pure, but tame and fearless and brutal instincts necessary to enable it to defend itself against threats, and survives even without the help of modern civilization.

Instead, the ruined city of Frankfurt continued as if nothing had happened, holding on to ideas of the true, the beautiful, and the good despite the atrocities, hanging on to a culture that had itself been lost in rubble or killed off in the concentration camps.

Adams concludes that “ right action, by act-utilitarian standards, and right motivation, by motive-utilitarian standards, are incompatible in some cases .” The necessity of this conclusion is rejected by Fred Feldman who argues that “ the conflict in question results from an inadequate formulation of the utilitarian doctrines ; motives play no essential role in it …( and that )… Precisely the same sort of conflict arises even when MU is left out of consideration and AU is applied by itself .” Instead, Feldman proposes a variant of act utilitarianism that results in there being no conflict between it and motive utilitarianism.

Instead, Falken and Lightman direct the computer to play tic-tac-toe against itself.

Instead of moving, a Bomb need merely explode to effect the destruction of both friendly pieces and enemy pieces adjacent to itself, and suiciding in the process.

Instead of conveying linguistic content and pointing to something outside itself, scat music — like instrumental music — is self-referential and " d what it mean ".

Instead the silhouettes appeared with great intensity ... One hypothesis which presents itself to the mind naturally enough would be to suppose that these rays, whose effects have a great similarity to the effects produced by the rays studied by M. Lenard and M. Röntgen, are invisible rays emitted by phosphorescence and persisting infinitely longer than the duration of the luminous rays emitted by these bodies.

Instead of pipelining just the instructions, they also pipeline the data itself.

Instead the papacy confined itself ( see Prisoner in the Vatican ) to the Apostolic Palace and adjacent buildings in the loop of the ancient fortifications known as the Leonine City, on Vatican Hill.

Instead, he said that we can know it by knowing our own body, which is the only thing that we can know at the same time as both a phenomenon and a thing in itself.

Instead appealing to others could be interpreted as the solipsist fulfilling its own rules it itself created ( this leads to interesting questions as to why the solipsist's rules would require it to reach agreements in a code the solipsist made with agents the solipsist created for the personal gratification of the solipsist ).