Help


[permalink] [id link]
+
Page "Compact space" ¶ 74
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

However and converse
However, if I is infinite and the rings R < sub > i </ sub > are non-zero, then the converse is false ; the set of elements with all but finitely many nonzero coordinates forms an ideal which is not a direct product of ideals of the R < sub > i </ sub >.
However, the converse is not true when I is infinite.
However, the converse does not hold generally.
However, it also shows that the compactness of the product of compact Hausdorff spaces can be proved using ( BPIT ), and in fact the converse also holds.
However, the more difficult proof of the converse ( see below ) makes use of the vector space structure: Since both of the factors are vector spaces over Q, the tensor product can be taken over Q.
However the converse is true in many special cases.
( However, this appears to be contradicted in Fatal Revenant, when Linden Avery and Berek Halfhand converse together in English.
However students need a background in the subject matter to converse in a meaningful way.
If f is flat and locally of finite presentation, then f is universally open .< ref > EGA IV < sub > 2 </ sub >, Théorème 2. 4. 6 .</ ref > However, if f is faithfully flat and quasi-compact, it is not in general true that f is open, even if X and Y are noetherian .< ref > EGA IV < sub > 2 </ sub >, Remarques 2. 4. 8 ( i ).</ ref > Furthermore, no converse to this statement holds: If f is the canonical map from the reduced scheme X < sub > red </ sub > to X, then f is a universal homeomorphism, but for X noetherian, f is never flat .< ref > EGA IV < sub > 2 </ sub >, Remarques 2. 4. 8 ( ii ).</ ref >
( However, the name ' Leibniz's Law ' is also commonly used for the converse of the principle, the indiscernibility of identicals ( described below ), which is logically distinct and not to be confused with the identity of indiscernibles.
However, the converse fails: e. g. if P does not equal NP, knapsack with two constraints is not strongly NP-hard, but has no FPTAS even when the optimal objective is polynomially bounded.
However, the converse is true if X and Y contain only algebraic numbers and their size is at least 2 × 2.
However the converse is not true.
However, the converse does not hold in general.
However, she eventually agrees to the potentially dangerous five-day trip and begins being drilled on how to act and be wary in African cities and how to converse with Mabili's leaders.
However, the converse can also be true and police officer discretion is sometimes warranted for minor offenses.
However this may not be true of all domestic markets, as governments may aim to protect specific nascent industries so they grow and are able to exploit their future comparative advantage and in practise the converse can occur.
However, the converse is nearly true: a paracompact manifold is second-countable if and only if it has a countable number of connected components.
However, different atlases ( patchings ) may produce " the same " manifold, and, on the converse, a manifold does not come with a preferred atlas.

However and may
However, his subject matter and basic themes have remained surprisingly consistent, and these, together with certain key poetic images, may be traced through all his work, including the new jazz experiments.
However, a narrow strip may be very practical for small developments, or to provide additional stream frontage for a fisherman's trail, or include scenic strips within the park unit.
However, Af adsorbs water from the atmosphere and this may account for the low chromium analysis and high total weight loss.
However, the dynamics of airflow, from morphologic considerations alone, may conceivably be different in the monkey than in the horse.
However, because of Church laws, lately more stringently enforced, which forbid the marriage of cousins closely related consanguineously, a means of facilitating the goal of in-group relations may be that of recourse to illegitimate unions.
However, the teacher who understands the influence of emotions on behavior may be highly influential in helping pupils gain confidence, security, and satisfaction.
However that may be, people are known to go to mediums for diverse reasons.
However, by cultivating a wine dealer and accepting his advice, one will soon enough ascertain whether he has any knowledge of wines ( as opposed to what he may have been told by salesmen and promoters ) and, better yet, whether he has a taste for wine.
However needed this may be, the fundamental problem is not information but active commitment to the total mission of the church of Christ in the world.
However much we may have to criticize liberal theology's constructive formulations, the theology we ourselves must strive to formulate can only go beyond liberalism, not behind it.
However, this story may reflect a cultural influence which had the reverse direction: Hittite cuneiform texts mention a Minor Asian god called Appaliunas or Apalunas in connection with the city of Wilusa attested in Hittite inscriptions, which is now generally regarded as being identical with the Greek Ilion by most scholars.
However, certain critical interlocutory court orders, such as the denial of a request for an interim injunction, or an order holding a person in contempt of court, can be appealed immediately although the case may otherwise not have been fully disposed of.
However, appeals may be costly, and the appellate court must find an error on the part of the court below that justifies upsetting the verdict.
However, no direct connection can be demonstrated, and the similarity of the abaci may be coincidental, both ultimately arising from counting with five fingers per hand.
Experiments have been conducted to attempt the synthesis of ununennium ( Uue ), which is likely to be the next member of the group, but they have all met with failure .< ref name =" link "> However, ununennium may not be an alkali metal due to relativistic effects, which are predicted to have a large influence on the chemical properties of superheavy elements.
However, actual rainfall from year to year is irregular and occasionally may be less than, leading to severe reductions in crop yields for both rain-fed and irrigated agriculture.
However, some experimental evidence suggests astatine may have lower melting and boiling points than those implied by the halogen trend.
However, when anxiety becomes overwhelming, it may fall under the classification of an anxiety disorder.
However, there is no evidence to support this practice and it may in fact delay healing.
However other process philosophers such as David Ray Griffin have written that people may have subjective experience after death.
However, if the excited atom has been previously ionized, in particular if one of its inner shell electrons has been removed, a phenomenon known as the Auger effect may take place where the quantity of energy is transferred to one of the bound electrons causing it to go into the continuum.
But on meeting Mackenzie, Dufferin revised his opinions: " However narrow and inexperienced Mackenzie may be, I imagine he is a thoroughly upright, well-principled, and well-meaning man.
However, there are certain limitations: they may not administer the sacraments and related functions whose celebration is reserved to bishops, priests, deacons, or seminarians ( the male clergy ), namely, Holy Orders ( they may make provision for an ordained cleric to help train and to admit some of their members, if needed, as altar servers, Eucharistic ministers, or lectors-the minor ministries which are now open to the non-ordained ).
However, in the Coulomb field of a nucleus the translational invariance is broken and single-photon annihilation may occur.

0.217 seconds.