PPT-COUNTABLE

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. 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 . Sequence and Sums. Fall 2011. Sukumar Ghosh. Sequence. A sequence is an . ordered. list of elements. . Examples of Sequence. Examples of Sequence. Examples of Sequence. Not all sequences are arithmetic or geometric sequences.. 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 . Discrete Mathematics for Computer Science. Fall . 2012. Jessie Zhao. jessie@cse.yorku.ca. Course page: . http://www.cse.yorku.ca/course/1019. 1. Test 1 is ready to pick up!. For . questions regarding . Form and Usage. countable. / . uncountable. . nouns. countable. . nouns. have. . singular. . and. . plural . forms. we. . can. . use. . numbers. . with. . countable. . nouns. one. . person. 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 . 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 (. REVIEW. Countable. Empty set, finite set or countably infinite. Countably Infinite . The set is . a non-empty. , non-finite . set, . and there exists a bijection between N and the set.. Uncountable. 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. COSC 2001. Lecture. . 5.0. Countable. Countable via a List. Countable via Finite Descriptions. Uncountable. Hierarchy of Infinities. Some . Uncomputable. Problem. 2001: Countable . and Uncountable Infinite. 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?. Fall 2011. Sukumar Ghosh. Sequence. A sequence is an . ordered. list of elements. . Examples of Sequence. Examples of Sequence. Examples of Sequence. Not all sequences are arithmetic or geometric sequences..