indiscrete sentence in Hindi
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- Homogeneity and isotropy of matter at the largest scales would suggest that the largest discrete structures are parts of a single indiscrete form, like the crumbs which make up the interior of a cake.
- In the two extremes, every set can be open ( called the discrete topology ), or no set can be open but the space itself and the empty set ( the indiscrete topology ).
- :Note that the indiscrete space is indeed a ( 0-dimensional ) manifold if the space in question has precisely one-point or vacuously a manifold if the space in question is empty.
- Little by little he gained imitators and, always ready to reply to questions of taste and even enquiries from the indiscrete curious, Du Sommerard welcomed people to see his collection and gave lessons in practical archaeology.
- Sen . John McCain's father blended heroics in uniform with a tendency to swear, drink too much, and make indiscrete comments, according to excerpts of a new book by McCain about his family history.
- The indiscrete topology is also known as the "'biggest "'or "'chaotic "'topology, and it is generated by the pretopology which has only isomorphisms for covering families.
- Where the discrete topology is initial or free, the indiscrete topology is final or cofree : every function " from " a topological space " to " an indiscrete space is continuous, etc.
- Where the discrete topology is initial or free, the indiscrete topology is final or cofree : every function " from " a topological space " to " an indiscrete space is continuous, etc.
- We cannot eliminate the Hausdorff condition; a countable set with the indiscrete topology is compact, has more than one point, and satisfies the property that no one point sets are open, but is not uncountable.
- :: : Gian-Carlo Rota answered this question in his " Indiscrete Thoughts ", speaking of Alonzo Church, see Fine Hall in its golden age : Remembrances of Princeton in the early fifties.
- In some ways, the opposite of the discrete topology is the trivial topology ( also called the " indiscrete topology " ), which has the fewest possible open sets ( just the empty set and the space itself ).
- But on one of your notes, the indiscrete space is not locally metrizable ( when it has more than one point as someone above mentioned ) but I would expect that the derivative of a function between such indiscrete spaes to be 0.
- But on one of your notes, the indiscrete space is not locally metrizable ( when it has more than one point as someone above mentioned ) but I would expect that the derivative of a function between such indiscrete spaes to be 0.
- So, now, Washington being Washington, it's atwitter over an indiscrete e-mail, which was leaked to an enterprising cyber-gossip, from the wife of the White House speechwriter who apparently coined the brilliant / overwrought ( pick one ) phrase.
- The functor from "'Set "'to "'Cat "'that sends a set to the corresponding discrete category is left adjoint to the functor sending a small category to its set of objects . ( For the right adjoint, see indiscrete category .)
- Yet, there is no guarantee that every point of the locale & Omega; ( " X " ) is in one-to-one correspondence to a point of the topological space " X " ( consider again the indiscrete topology, for which the open set lattice has only one " point " ).
- If f : X \ to \ mathbb { R } is an arbitrary non-constant, real-valued function, then f is non-measurable if X is equipped with the indiscrete algebra \ Sigma = \ { \ emptyset, X \ }, since the preimage of any point in the range is some proper, nonempty subset of X, and therefore does not lie in \ Sigma.
- For example, if a space is locally Euclidean at a point you can define its tangent space at that point ( which is, itself, a useful thing to do for all kinds of purposes ), you can't define the tangent space to a figure of 8 at that central point ( it has two tangents there, so you would end up with the union of two lines, which isn't a vector space ) . 3 ) A manifold is a space that is locally Euclidean everywhere ( possibly with some extra conditions, depending on who you ask ), that is the minimal condition ( I'm not really sure what you mean by " some sort " of manifold, there are generalisations of manifolds, but they are really manifolds any more even if the word may appear in their name, you could argue that " topological space " is a generalisation of " manifold ", but that doesn't mean much ) . 4 ) No, the only neighbourhood of any point in an indiscrete space is the whole space, which can't be homeomorphic to any Euclidean space because no Euclidean space ( beyond "'R "'0, I guess ) is indiscrete .-- talk ) 00 : 04, 12 January 2009 ( UTC)
- For example, if a space is locally Euclidean at a point you can define its tangent space at that point ( which is, itself, a useful thing to do for all kinds of purposes ), you can't define the tangent space to a figure of 8 at that central point ( it has two tangents there, so you would end up with the union of two lines, which isn't a vector space ) . 3 ) A manifold is a space that is locally Euclidean everywhere ( possibly with some extra conditions, depending on who you ask ), that is the minimal condition ( I'm not really sure what you mean by " some sort " of manifold, there are generalisations of manifolds, but they are really manifolds any more even if the word may appear in their name, you could argue that " topological space " is a generalisation of " manifold ", but that doesn't mean much ) . 4 ) No, the only neighbourhood of any point in an indiscrete space is the whole space, which can't be homeomorphic to any Euclidean space because no Euclidean space ( beyond "'R "'0, I guess ) is indiscrete .-- talk ) 00 : 04, 12 January 2009 ( UTC)
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