PPT-COUNTABLE AND UNCOUNTABLE NOUNS

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 . 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 It may come as somewhat of a surprise that there are di64256erent sizes of in64257nite sets At the end of this section we show that there are in64257nitely many di64256erent such sizes For the most part we focus on a classi64257cation of sets into t 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 . 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 (. 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. We wish to establish the truth of. Section 2.4. Section Summary. Sequences.. Examples: Geometric Progression, Arithmetic Progression. Recurrence Relations. Example: Fibonacci Sequence. Summations. Special Integer Sequences (. optional. 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. My friend, Jim, likes to explore our city.. friend (common). Jim (proper). city (common). Nouns. Last week, Jim visited the Natural History Museum.. week (common). Jim (proper). Natural History Museum (proper). Section. . 2.4. Cardinality. How can we compare the sizes of two sets?. If . S. = {. x.  . .   .  . : . x. 2. = 9}, then . S.  = {–3,.  . 3} and we say that . S. has two elements.. N o u n s What is Noun ? N o u n s Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ? Noun ?