CS 3133 Foundations of Computer Science C term 2014 Solutions of the Sample Problems for the Midterm Exam 1. Give a regular expression that represents the set of strings over Σ = {a‚ b} that contain the substring ab and the substring ba. Solution: a+ b+ a(a ∪ b)∗ ∪ b+ a+ b(a ∪ b)∗ (20 points) 2. Consider the following grammar G: S → SAB|λ A → aA|a B → bB|λ (a) Give a leftmost derivation of abbaab. (b) Build the derivation tree for the derivation in part (1). (c) What is L(G)? Solution:
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18 Math 070 Chapter 7 Rational Expressions and Equations (7.1) Sec. 7.1 Simplifying Rational Expressions To reduce an algebraic fraction: factor first‚ then cancel _____________________________. 1. 4w3 28w 2 2. 27 a 3 33 3. y 2 7 y 18 y2 6y 8 19 Math 070 Chapter 7 Rational Expressions and Equations (7.2) Sec. 7.2 Multiplying and Dividing Rational Expressions To multiply algebraic fractions: factor first‚ next cancel __________________________ and then
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COMMON EXPRESSION ON FRENCH 1. Expression: À la vôtre Pronunciation: [a la vot(reu)] Meaning: Cheers! To your health! Literal translation: To yours! 2. Expression: Allons-y Pronunciation: [ah lo(n) zee] Meaning: let’s go Literal translation: let us go there 3. Expression: À tes souhaits Pronunciation: [a tay sweh] Meaning: bless you Literal translation: to your wishes 4. Expression: Au fait Pronunciation: [o feht] Meanings: by the way‚ get to the point‚ informed 5. Expression: Au
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Immanuel Kant’s moral theory can be best explained by comparing it to a math equation. Kant’s moral system will always hold true no matter what the circumstance just like how two plus two will always equal four. According to Kant‚ our lives should be lived according to maxims that can be willed into universal law (Kant‚ Fundamental Principles of the Metaphysic of Morals‚ p 303). However the action regarding a moral decision is not judged by the consequences of that action‚ rather by the motive
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There is a common expression heard in nursing school and facilities that employs nurses‚ “nurses eat their young”. When I began school‚ I wondered about that expression; I now know the reason behind the expression and it is sad to say how true it is. Bullying plagues the nursing profession‚ but it is not the only form of violence experienced in regularity in this profession. Physical‚ emotional‚ economic‚ sexual‚ and verbal abuse occur frequently‚ often without ever being reported or discussed with
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to Microarray Technology | 7 | | 1.2.1 Measuring mRNA levels | 7 | | 1.2.2 Pre-processing of Gene Expression Data | 8 | | 1.2.3 Applications of Clustering Gene Expression Data | 9 | | 1.3 Mutual Information | 10 | | 1.4 Introduction to Clustering Techniques | 11 | | 1.4.1 Clusters and Clustering | 11 | | 1.4.2 Categories of Gene Expression Data Clustering | 11 | | 1.5 Semi-supervised Learning | 12 | | 1.5.1 Semi-supervised Classification
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Infant Emotional Expression Expression of Happiness and Smile Types The purpose of this paper is to describe infant expression of happiness and to inform findings of research relating to smile types in infants as well as to inform about potential relationships between smile types‚ play type and parent gender. In a professional book‚ Laura E. Berk (2002) describes how infants display emotions and how caregivers respond to them. According to Berk‚ research has been done to find out
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the possibility of personal attainment are encouraged." (Niedenthal‚ et al. pg 314) These simple definitions provided by Neidenthal show the drastic differences between cultures of the East and the West. Eastern cultures‚ and their emotional expressions‚ "have been largely left to speculation‚ and often labeled "mysterious‚" and "deviant"."(Miyahara) Miyahara‚referencing a study conducted on Japanese interpersonal communication‚ goes onto explain that the Japanese "are low in self disclosure‚ both
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ARCHIVING VOICES AND EXPRESSIONS. A ground breaking exhibition curated by Probir Gupta featuring various folk artists and contemporary photographers. Held at the Gurusday Museum from 27th March- 10th April. This museum was founded by the very well-known Shri Gurusday Dutt held this successful show of pictures and paintings that echoed departures from traditional folk Bengal art. This exhibition gives an extraordinary glimpse into the breadth of various contemporary art and photographs.
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Regular Expressions This ppt is the work by Dr. Costas Busch‚ used with permission‚ and available from http://csc.lsu.edu/~busch/courses/theorycomp/fall2008/ 1 Regular Expressions Regular expressions describe regular languages Example: (a b c) * describes the language a‚ bc * ‚ a‚ bc‚ aa‚ abc‚ bca‚... 2 Recursive Definition Primitive regular expressions: ‚ ‚ Given regular expressionsr1 r2 and r1 r2 r1 r2 r1 * Are regular expressions r1 3 Examples A regular expression:
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