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* Similarly, the empty space is the unique initial object in the category of topological spaces ; every one-point space is a terminal object in this category.
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Similarly and empty
Similarly, Polly Toynbee argued that “ the phrase is an empty right-wing smear designed only to elevate its user ”.
Similarly the question of whether a Turing machine T terminates on an initially empty tape ( rather than with an initial word w given as second argument in addition to a description of T, as in the full halting problem ) is still undecidable.
* Similarly, the category of all small categories with functors as morphisms has the empty category as initial object and the category 1 ( with a single object and morphism ) as terminal object.
Similarly, it can easily be inserted into empty shaped charge cases of the type used by military engineers.
Similarly, the pole position on a starting grid can be left empty for a standing start.
Similarly, two orthogonally adjacent empty cells surrounded together must be a domino, as two monominos cannot share a side.
Similarly and space
Similarly, as an infinite-dimensional example, the Lebesgue space L < sup > p </ sup > is always a Banach space but is only a Hilbert space when p = 2.
Similarly, Arthur C. Clarke's " Crusade " revolves around a planetwide life-form based on silicon and superfluid helium located in deep intergalactic space, processing its thoughts slowly by human standards, that sends probes to look for similar life in nearby galaxies.
Similarly, a three-dimensional Cartesian system defines a division of space into eight regions or octants, according to the signs of the coordinates of the points.
Similarly, rules differ across space: what is acceptable in one society may not be so in another.
" Similarly, the Nazis promoted territorial expansionism to provide Lebensraum (" living space ") to the German nation.
Similarly, if space is not described uniformly or time independently, a coordinate system could describe the simple flight of a free body in space as a complicated zig-zag in its coordinate system.
Similarly, in regard to passages from the Enneads, " The only space or place of the world is the soul " and " Time must not be assumed to exist outside the soul ", Ludwig Noiré wrote: " For the first time in Western philosophy we find idealism proper in Plotinus, However, Plotinus does not address whether we know external objects, unlike Schopenhauer and other modern philosophers.
Similarly, for any semi-normed vector space we can define the distance between two vectors u and v as ‖ u − v ‖.
Similarly, we have that NC is equivalent to the problems solvable on an alternating Turing machine restricted to at most two options at each step with space and alternations.
Similarly the set of all vectors in which is rational for all i is a countable dense subset of ; so for every the-dimensional Euclidean space is separable.
Similarly, the Clarke Belt is the part of space about above sea level, in the plane of the Equator, where near-geostationary orbits may be implemented.
Similarly, it's not enough for subsets of a topological space to be disjoint ; we may want them to be separated ( in any of various ways ).
Similarly, the class L contains all problems that can be solved by a sequential computer in logarithmic space.
Similarly, during childbirth, episiotomy is sometimes performed to increase the amount of space through which the baby may emerge.
Similarly specialized groups of humans which arise after the Jihad include the Bene Gesserit, a matriarchal order with advanced mental and physical abilities, and the Spacing Guild, whose prescience makes safe, instantaneous space travel possible.
Similarly, the mappings of a conceptual metaphor are themselves motivated by image schemas which are pre-linguistic schemas concerning space, time, moving, controlling, and other core elements of embodied human experience.
4 ) Similarly, the Moore – Smith theory of convergence via nets, as supplemented by Kelley's notion of a universal net, leads to the criterion that a space is compact if and only if each universal net on the space converges.
Similarly, the term userland refers to all application software that runs in user space.
* Similarly, in a three-dimensional space, the dot product of vectors b, c and e, f is ad + be + cf.
Similarly and is
Similarly in Illinois there is Lincoln country to be seen -- his tomb and other landmarks.
Similarly, at the opposite end of the market cycle, towards the end of an intermediate or major decline, usually while the bottom is being formed on the price chart, it is characteristic that an increase is noticed in odd-lot selling again alerting the chartist that a bottom is becoming a greater likelihood.
Similarly, the American Cancer Society ( ACS ), the Arthritis and Rheumatism Foundation, and the BBB have each stated lately that medical quackery is at a new high.
Similarly, a girl who graduates with a good working knowledge of stenography and the use of clerical machines and who is able to get a job at once may wish to improve her skill and knowledge by a year or two of further study in a community college or secretarial school.
Similarly, the Italian verb corresponding to ' spell ( out )', compitare, is unknown to many Italians because the act of spelling itself is rarely needed: Italian spelling is highly phonemic.
Similarly, Helen Keller stated that " Life is either a daring adventure or nothing.
Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.
Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.
Similarly in St Peter: " Christ .. Who verily was foreordained before the foundation of the world, but was manifest in these last times for you " ( 1 Peter 1: 20 ), and " But the end of all things is at hand " ( 1 Peter 4: 7 ).
Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:
Similarly, in the Greek Magical Papyri, the term " Aion " is often used to denote the All, or the supreme aspect of God
Similarly, " suprarenal " is derived from supra-( Latin, " above ") and renes.
Similarly the freehold of a benefice, on the death of the incumbent, is said to be in abeyance until the next incumbent takes possession.
Similarly, the use of excessively high doses ( often the result of polypharmacy ) continues despite clinical guidelines and evidence indicating that it is usually no more effective but is usually more harmful.
Similarly and unique
Similarly, the soul of each living being is unique and uncreated and has existed since beginningless time.
Similarly, " Beach Road " is a unique road, though other towns may have their own roads named " Beach Road " as well.
Similarly, the Vedantic text Yogavasistha, escapes charge of solipsism because the real " I " is thought to be nothing but the absolute whole looked at through a particular unique point of interest.
Similarly, the completeness property cannot be expected to carry over, because the reals are the unique complete ordered field up to isomorphism.
# Similarly, any poset P may be regarded as an abstract category with a unique arrow x → y whenever x ≤ y.
Similarly, Petri's student Gunnar Johansen who had heard Busoni play on several occasions, remarked, " Of Busoni's piano rolls and recordings, only Feux follets ( Liszt's 5th Transcendental Etude ) is really something unique.
Similarly k = g < sup >– p </ sup > ( mod N ) for any non-zero index k and for a unique p in 0 ,..., N – 2, where the negative exponent denotes the multiplicative inverse of g < sup > p </ sup > modulo N. That means that we can rewrite the DFT using these new indices p and q as:
Similarly, restaurants invest heavily in their interior design and decorations to offer a tangible and unique experience to their guests.
Similarly, each Mangekyō Sharingan grants the user unique abilities.
Similarly in studies of technology and organization, modular systems may be composed of modules that are very similar ( as in shelving units that may be piled one atop the other ) or very different ( as in a stereo system where each component performs unique functions ) or any combination in between.
Similarly, some e-mail systems use unique per-message return-paths, for example variable envelope return path ( VERP ) for mailing lists, Sender Rewriting Scheme for forwarded e-mail, Bounce Address Tag Validation for backscatter protection, etc.
Similarly, there is a unique point Y on the line normal to C at R so that PY is perpendicular to the normal, so PXRY is a ( possibly degenerate ) rectangle.
Similarly, he argues that the person is conceived as a unique individual ( as in the proverb " antelope's soul is one, duiker's another "), so that each individual is self-complete, and the reality of the person cannot be derivative and posterior to that of the community.
Similarly, in the East, the extremely festive ceremonies and Divine Liturgy which are celebrated during the Easter Vigil are unique to that night and are the most elaborate and important of the ecclesiastical year and usher in the fifty-day long celebration and many people who only attend church services once a year do so at midnight for Easter.
Similarly, the Mathieu sine is the unique solution which
Similarly a high proportion of the Lepidoptera and other insects of the islands have evolved into unique endemic species.
Similarly, the radical center of three circles is the unique point with equal power to all three circles.
Similarly, there are some actions, such as committing suicide, that may be unique to human beings yet that we do not celebrate.
Similarly, the presence of a non-reserve or " regular " bottling with a producer that also sells reserve wine makes it more likely that there is something unique inside.
Similarly to the case of algebraic closure, there is an analogous theorem for real closure: if K is a real closed field, then the field of Puiseux series over K is the real closure of the field of formal Laurent series over K. ( This implies the former theorem since any algebraically closed field of characteristic zero is the unique quadratic extension of some real-closed field.
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