:= fF A: Fis niteg: site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. You must on no condition tell them what happened. "the real Jones is living in a cave!". 3. A phrase to describe someone's bad financial record. It only takes a minute to sign up. : Many religions are practiced in the United States. The cardinality of Ω is denoted ℵ 1 {\displaystyle \aleph _{1}} ( aleph-one ). De nition 2.1. Is 'subject-predicate form' to be used as countable or uncountable noun? Share. a rule or decision that you must agree to, sometimes forming part of a contract or an official agreement, They have agreed to the ceasefire provided their, a situation that must exist in order for something else to happen, a necessary condition for economic growth. Lecture Notes in Math. Making statements based on opinion; back them up with references or personal experience. Join our community to access the latest language learning and assessment tips from Oxford University Press! Anyway, if no $\kappa$-Aronszajn trees exist (i.e. Found inside – Page 41Hence there are only two different types of categoricity: countable and uncountable. These two conditions have strong but very different implications for ... What was the error in the proof of Roos' theorem? (harapan) George had hopes of promotion. A countable noun is usually something you can count quantitatively. /ˈpresɪdənt/. : I read a book about the folk arts of Sweden. 542. Saying an underflow state would make underflow no longer a state that can be "labeled" upon the stack, and we are no longer making the implication there is an enumeration of states for the stack. In English grammar, countable nouns are individual people, animals, places, things, or ideas which can be counted. : Different kinds of stone can be used for different purposes. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. Asking for help, clarification, or responding to other answers. In this case, singular and plural can be countable, and singular can also be uncountable. The trouble with Harry is that he can't stay sober. In this case, the singular is countable. Trouble as a general condition is uncountable. I've had nothing but trouble. @KevinArlin Maybe the connection is not as tight as I have it in my head, but let $\kappa$ be the height of a tree $T$. Is there a natural condition, analogous to the Mittag-Leffler condition when $\kappa = \omega$, which one can put on $(X_\alpha)_{\alpha<\kappa}$ ensuring that $\varprojlim^1_{\alpha < \kappa} X_\alpha = 0$? Countable nouns can be counted, e.g. Nevertheless, an analog of (1) above is available. Countable nouns are nouns that can be counted (e.g. ‘After irradiation, the cells were left for 2 weeks under standard conditions to allow the formation of countable colonies.’ ‘Thus, 100 countable individuals was a targeted minimum that was easily surpassed in many samples but not achieved in others.’ ‘The friends I made with this group are not countable.’ MathOverflow is a question and answer site for professional mathematicians. 1647, abraham cowley, the mistress (“my fate”): you, who men's fortunes in their faces read; a prediction or set of predictions about a person's future provided by a fortune teller. Found inside – Page 113Verify that p is a G,5 but has no countable nhood base. Why the condition that C be “scattered?”] The condition that each point be a G6 is sufficient for ... Collective nouns refer to a group (army, committee, group, government, etc.) If something is countable, it means that you can count it. How to deal with a boss who keeps changing his mind and doesn't reply to text/calls but when I get stuck due to comm. ( countable ) A mistake; an accidental wrong action or a false statement not made deliberately. Found inside – Page 140In particular , condition ( F1 ) from the definition of a filter says that ... an uncountable antichain in P. Thus , 1 The name " countable chain condition ... You can have a lot, some, none or 3 dollars. (beberapa harapan) To learn more, see our tips on writing great answers. For example, we cannot count gasoline. When you're thinking of one specific trouble, or several different specific troubles, the noun is countable. How were they accelerated? MathJax reference. paddy field - is it countable or uncountable noun? In fact, Neeman simply calls the condition of (1 bis) "Mittag-Leffler". : A glass of beer, please. Found inside – Page 132... 46B15] (see: Basis) countable basis See: weak — countable chain condition ... 04A99] (see: Uncountable set) countable order see: base of – Countable set ... Let $(X_\alpha)_{\alpha <\kappa}$ be an inverse system of abelian groups. Why does Waze give a time estimate for this road trip two hours lower than Google Maps? Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. What exactly does the line integral of an electric field over a closed loop find? Uncountable nouns are things that you cannot count – water, sadness, plastic, etc. It is important to know whether a noun is countable or uncountable, otherwise you are likely to make basic grammar mistakes. Notation. You can use "a" or a plural. Now, when it comes to certain nouns, I'm not sure how do natives guess them countable/uncountable. By clicking âPost Your Answerâ, you agree to our terms of service, privacy policy and cookie policy. Is the compressor required on jet engines? Some countable nouns are irregular and follow different rules; one child or two children / one fish or two fish. Nouns are words that represent things, places, ideas, or people. What is the purpose of a thermal HUD for civil aviation aircraft? Found inside – Page 309Here, condition (ii) in the definition holds automatically, since I must be finite, ... the notion becomes strictly weaker for JJ uncountable. The best answers are voted up and rise to the top, English Language Learners Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. Springer Verlag, 1976. 3 conditions [plural] the physical situation that affects how something happens The plants grow best in cool, damp conditions. Being pro-isomorphic to an inverse system of abelian groups whose bonding morphisms are surjections. The requirement that pairwise disjoint collections of intervals (or more general open sets) are countable is called the countable chain condition (abbreviated ccc). Look up any word in the dictionary offline, anytime, anywhere with the Oxford Advanced Learnerâs Dictionary app. Synonyms and related words. The ship sank in mysterious circumstances. I know that if $\mathbb P$ satisfies the ccc, every antichain in $\mathbb P$ is countable. Could celestial objects be used in cryptography? Use MathJax to format equations. The ruling set a precedent for future libel cases. So how do we know whether or not a noun is countable or uncountable? Countable And Uncountable Nouns. Thanks for contributing an answer to English Language Learners Stack Exchange! the state of a particular group of people because of their situation in life, their problems, etc. It is a way of sort of dividing up the uncountable noun. Plural would always be countable, but singular isn't always uncountable. Uncountable words are words that cannot be counted. a large set (it is uncountable), there is a countable subset of it that is \close to everything", at least according to the usual topology. Found inside – Page 80A condition is a set C such that for some countable subset K C L called the ... As in the case of the countable orderings, for uncountable wellorderings L ... Consultation: “uncountable noun” or “countable noun”. We can then put the countable unit in its plural form to express an amount of the uncountable noun. conditions Conditions are ideal (= the weather is very good) for sailing today. Learn some countable and uncountable words, today. These are all words for the conditions and facts that are connected with and affect the way things are. Found inside – Page 48We shall prove below that such a set of conditions is at most countable (in ) ... Now, let S be an uncountable collection of incompatible P. Since for some k ... In this case, the Mittag-Leffler condition as formulated above is not sufficient to guarantee that $\varprojlim^1_{\alpha<\kappa} X_\alpha = 0$. My bad, you need the strong Mittag-Leffler condition from Edwards, D. A., and H. M. Hastings. How to âguessâ if a noun is countable or uncountable? Often you can use an article (‘a’ or ‘an’) in front of the noun. This is incorrect. My parents have had a lot of health problems this year. : We found ourselves in the middle of the wood. It is difficult to know if a noun is countable or uncountable, but there are some ways to guess and some rules to help you. Example of an uncountable sequence of abelian groups with nonvanishing $\varprojlim^2$? It is not considered uncountable because it is just an idea, a concept, a description. It only takes a minute to sign up. By clicking âAccept all cookiesâ, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Asking for help, clarification, or responding to other answers. the set of all nite subsets of A. Found inside – Page 265Since & is uncountable, there is an n e a) and an uncountable set & C & such ... and J is countable, then Fn(I,J) satisfies the countable chain condition. ‘Mathematicians divide infinite sets into two categories, countable and uncountable sets.’ ‘The world, Heidegger says, is not the mere collection of the countable or uncountable, familiar and unfamiliar things that are at hand.’ ‘At night the stars were so close it was like a Hollywood set; more bright lights than humanly countable.’ In school, I learned that abstract nouns are not countable; however, English is an ever-evolving language and nothing can be so certain here including abstract nouns that are countable. Read the explanation to learn more. Not all the time I have access to dictionaries. Now consider the case where $\kappa$ is an uncountable regular cardinal. rev 2021.8.31.40115. It should have an article: "into AN underflow state". What are the primary sources for the Mongol sack of Baghdad? For example, I have cash in my pocket. [countable, uncountable] an official action or decision that has happened in the past and that is seen as an example or a rule to be followed in a similar situation later. “state” — when is it a countable or uncountable noun? 1a. "State", in the sense of "condition or status", is a countable noun, period. If $\kappa = \omega$ (or by extension if $\kappa$ is of countable cofinality), then the Mittag-Leffler condition is a criterion guaranteeing that $\varprojlim^1_{\alpha <\kappa} X_\alpha = 0$. Found inside – Page 120The following conditions should be satisfied by a random variable x: 1. ... The classification of sample spaces as countable or uncountable leads directly ... jump to other results. Found inside – Page 364For this purpose, take into account that the countable chain condition is fulfilled ... the countable chain condition and let {pα : α<ω 1} be an uncountable ... A set which is not countable is called uncountable. Minimum number of generators for quotients of congruence subgroups of SL(2, Z). According to google dictionary, trouble can be a countable noun and a uncountable noun. Found insideThe theorem below shows that in a first countable space, the Hausdorff condition is not only sufficient for uniqueness of limits of sequences, ... "a car in very good condition". is it correct to use "since" with the verb hate or like? Example: “water” Water is an uncountable noun because it is a liquid. The meaning of the word state that I'm referring to here, of course, has to do with a particular condition that something is in at a specific time as in the usage example above that talks about software objects such as stacks that can change their state during their lifetime. If every map $X_m \to X_n$ with $m > n$ is zero, then $(X_n)_{n<\omega}$ is Mittag-Leffler. The Basic Rules: Adjectives. English Language Learners Stack Exchange is a question and answer site for speakers of other languages learning English. Countable meaning Uncountable meaning; Substances; I need an iron to press my trousers. Uncountable nouns are things that you cannot count – water, sadness, plastic, etc. some factual errors that need correction. There is a functor $F: \kappa^{op} \to Set$ which sends $\alpha$ to the set of branches of height $\alpha$. Mathematica 12.3.1 CapForm does not work with ContourStyle anymore? noun. Because X ∖ U 0 is uncountable, it is a contradiction with U 0 is open. an apple, two apples, three apples, etc. I've had nothing but trouble. A topological space (X;T) is said to have the countable chain condition if any collection of pairwise disjoint, nonempty, open subsets of Xis countable. For example, "cat--cats," "season--seasons," "student--students." Apple/Apples. : A rolling stone gathers no moss. Found inside – Page 39Let E be the n-dimensional Euclidean space and let G be an uncountable ... condition is sufficient for deducing the countable G-equidecomposability of the ... Then ... need both everyday and business vocabulary for the TOEIC test, so build your vocabulary in these areas. Connect and share knowledge within a single location that is structured and easy to search. He spoke angrily about the condition of the urban poor. For future reference, we record a result on the countable chain condition in Heyting algebras H. A good training program is one of the conditions for successful industry. Noun. Found inside – Page 32What is the more common name for this condition? Listen to the first part of the programme to ... Are they being used as countable or uncountable nouns? Condition is used with an adjective and refers especially to the appearance, quality, or working order of someone or something. It is used to describe a person's physical health more than their mental health: The car is in excellent condition. I'd resist this choice of terminology, because unlike in the countable case, (1 bis) does not contain as a special case the following analog of (2): Question: Let $\kappa$ be an uncountable regular cardinal, and let $(X_\alpha)_{\alpha < \kappa}$ be an inverse system of abelian groups (or even vector spaces). If the stack is full and does not contain enough space to accept an entity to be pushed, the stack is then considered to be in an overflow state. THE DISCRETE COUNTABLE CHAIN CONDITION MARGARET REAMES WI SCAMP, I. : Steel is made from iron. Found inside – Page 151Thus, (A × K) ∩ C has to be uncountable. This contradiction shows that, indeed, A is countable. The necessity of the condition is easily established, ... the physical situation that affects how something happens. The full data set for the 2021 Developer Survey now available! Here, we’ll take a look at countable and uncountable nouns and provide both countable noun examples and uncountable noun examples. "State", in the sense of "condition or status", is a countable noun, period. Found inside – Page 76... t 2 T: The second condition will be stated separately in two cases: when the parameter space T is countable (or finite), and when it is uncountable. Collective nouns can be countable or uncountable, depending on the meaning of the sentence. Proving that the entire function which satisfies a given property is unique. Find out which words work together and produce more natural sounding English with the Oxford Collocations Dictionary app. an illness or a medical problem that you have for a long time because it is not possible to cure it. This space is CCC, but not separable. Czech and Steenrod Homotopy Theories with Applications to Geometric Topology. The accompanying CD-ROM allows you to ... "improve your writing skills with the Oxford iWriter; search the A-Z dictionary; listen to words and record your pronunciation; focus on topic vocabulary; make your own word lists. Martin’s Axiom implies that the ccc is productive (P; ) is said to have the countable chain condition (or ccc) if every antichain in P is countable. Definition of condition noun from the Oxford Advanced American Dictionary. Example—Her hair was short and dark. improvement. Click to see full answer (uncountable) The state, quality, or condition of being wrong. Found inside – Page 9Which of these two (whether g is countable or uncountable) applies will ... where g can be any of the possible values from the set G. In AE condition ... "a car in a very condition". Uncountable nouns refer to abstract ideas, substances, or concepts that cannot be counted unless expressed with a unit of measurement. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide, the circumstances or situation in which people live, work, or do things. Then $\varprojlim F$ is the set of cofinal branches of $T$. It can be shown, using the axiom of choice , that ℵ 1 {\displaystyle \aleph _{1}} is the smallest uncountable cardinal number. I had convinced myself that the transition maps for $F$ were moreover surjective, but now I realize that is not the case. Bridget Coila via Flickr. The pop operation removes an item from the top of the stack. Conditions for exact projective limits for some Mittag-Leffler systems? Found inside – Page 75The partially ordered set P has the countable chain condition if every ... is a model of ZFC for which k = ké for an uncountable cardinal k then there is a ... Making statements based on opinion; back them up with references or personal experience. Some countable words are: 1. Thus in order to show that $\mathbb P$ does not satisfy the countable chain condition, I need to show … Found inside – Page 61... importance in the rest of this volume: the countable chain condition (316A-316F) and weak (cr, ... Then there is an uncountable disjoint set B C 23. I tried direct proof. Found inside – Page 231... property (K) if every uncountable set of conditions has an uncountable subset ... If W is countable, then there is a finite set J C I such that s(p) = J ... However, at least in the standard constructions, each $x \in F(\alpha)$ admits lifts to $y \in F(\beta)$ for arbitrarily large $\beta$, at least if $\alpha$ is a successor ordinal. Hello dear, It can be both COUNTABLE or UNCOUNTABLE under specific conditions like 1 [uncountable] - the mass of things like fine threads that grows on your head. The second one is correct. freezing/icy/humid, etc. A uncountable noun is like water. A pop either reveals previously concealed items or results in an empty stack, but, if the stack is empty, it goes into underflow state, which means no items are present in stack to be removed. : My grandma raises chickens. Found inside – Page 300If C does not satisfy the countable chain condition, then C actually has an uncountable strong antichain. For, we can associate with each open interval of C ... Found inside – Page 14FUNCTIONAL GRAMMAR Countable and Uncountable Nouns Examine the following ... car quality sincerity condition health 个个 3. son 4. oil 5. quarrel 6. beauty. Found inside – Page 66For example, the word 'sugar' is uncountable when we say'I like sugar', 'I'd like some sugar', but countable if we say'One sugar or two? Given a set A, we denote by [A]
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