PPT-Countable or Uncountable…That is the question!

REVIEW Countable Empty set finite set or countably infinite Countably Infinite The set is a nonempty nonfinite set and there exists a bijection between N and the set Uncountable. J Hildebrand Cardinality Countable and Uncountable Sets Tool Bijections Bijection from of a set Let and be sets A bijection from to is a function that is both injective and surjective Some properties of bijections Inverse functions The inverse func 1 Basic De64257nitions A map between sets and is called a bijection if is onetoone and onto In other words If then This holds for all a b For each there is some in such that We write if there is a bijection We say that and are equivalent or Mgr. Lucia . Jureňová. Countable nouns. When the countable noun is Pl. we can use it alone.. I want apples.. We can use some and any.. . . some . - affirmative . and. UNCOUNTABLE NOUNS. and. SOME /ANY / NO / A LOT OF. REVISION ON. REMEMBER. . Countable. . nouns. . are. . nouns. . which. can be . counted. . . and. can be in . the. . singular. . or. Sequences and Summations - vocab. An . arithmetic progression . is a sequence of the form . a, . a+d. , a+2d, … , . a+nd. , …. with fixed a, d in . R . and varying n in . Z. >=0 . A . geometric progression . Form and Usage. countable. / . uncountable. . nouns. countable. . nouns. have. . singular. . and. . plural . forms. we. . can. . use. . numbers. . with. . countable. . nouns. one. . person. AND ARTICLES. COUNTABLE NOUNS. Can be singular:. A . job. , a . company. , a . biscuit. Or. plural:. Few. . jobs. , . many. . companies. , . some. . biscuits. .. UNCOUNTABLE NOUNS. Cannot. be plural:. Sostantivi numerabilie non numerabili Uncountable Nouns Uncountable nouns are substances, concepts, etc. that we cannot divide into separate elements . We cannot "count" them. For example, we cannot Discrete Math for Computer Science. February 7, . 2012. Prof. Rodger. Slides modified from Rosen. Chap 2.5-2.6. Cardinality. Definition. : The . cardinality. of a set . A. is equal to the cardinality of a set . Countable nouns . Uncountable nouns. Nouns can be countable or uncountable. . a)  uncountable nouns are things we cannot count. They have no plural. You cannot say . '. musics. ', . 'bloods. ' or . Definition. : The . cardinality. of a set . A. is equal to the cardinality of a set . B. , denoted . . |A| = |. B. |,. if and only if there is a one-to-one correspondence (. https://www.youtube.com/watch?v=vXM6eUSUMK4. . Countable nouns. t. hings, . objects. ,. . people. , places, etc. . ca. n . be. . counted. c. an be:. . SINGULAR:. PLURAL:. . a. . + . noun. Essential Questions. . I . can identify them.. I can use them.. How is being able to identify and use different types of nouns going to aid my . writing this year?. WHAT ARE NOUNS?. . Nouns are naming words.. NOUNS. How to prepare a sandwich….. First…... t. omatoe. cheese. bread. m. ayonaisse. mustard. l. ettuce. ham. What do you need?. Quantity. …. How . MANY. slices of bread?. How . MUCH. cheese?.