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Rules of Probability

Rules of Probability

Rules of Probability The additive rule P [ A  B ] = P [ A ] + P [ B ] – P [ A  B ] and if P [ A  B ] = f P [ A  B ] = P [ A ] + P [ B ] The additive rule for more than two events and if A i  A j = f for all i ≠ j. then for any event E The Rule for complements

By johana
(871 views)

Sets

Sets

Sets. Definition of a Set: NAME = {list of elements or description of elements} i.e. B = {1,2,3} or C = {x  Z + | -4 < x < 4} Axiom of Extension: A set is completely defined by its elements i.e. {a,b} = {b,a} = {a,b,a} = {a,a,a,b,b,b}. Subset. A B  xU, xAxB

By jaden
(702 views)

Genetic research designs in the real world

Genetic research designs in the real world

Genetic research designs in the real world Vishwajit L Nimgaonkar MD, PhD University of Pittsburgh nimga@pitt.edu Complex disorders: models of causation Genetic factors : Several genes induce cumulative, small but discrete effects +

By niveditha
(290 views)

SeaWiFS Views The Galapagos: Islands in the Stream Gene Feldman/NASA GSFC, Laboratory for Hydrospheric Processes,

SeaWiFS Views The Galapagos: Islands in the Stream Gene Feldman/NASA GSFC, Laboratory for Hydrospheric Processes,

SeaWiFS Views The Galapagos: Islands in the Stream Gene Feldman/NASA GSFC, Laboratory for Hydrospheric Processes, SeaWiFS Project Office ( gene.c.feldman@nasa.gov )

By erika
(464 views)

Conserving Genetic Diversity

Conserving Genetic Diversity

Conserving Genetic Diversity. DNA arranged in discrete packages called Chromosomes. Units of Genetic Diversity . Individual portions of a chromosome that “code” for a specific character are known as Genes. Allele A1. Allele A2. Allele A3. Character E1. Character

By salena
(450 views)

Resolved Inner Disks around Herbig Ae/Be Stars: Near-IR Interferometry with PTI

Resolved Inner Disks around Herbig Ae/Be Stars: Near-IR Interferometry with PTI

Resolved Inner Disks around Herbig Ae/Be Stars: Near-IR Interferometry with PTI. Josh Eisner Collaborators: Ben Lane, Lynne Hillenbrand, Rachel Akeson, and Anneila Sargent. Eisner et al. 2003, ApJ, 598, 1341 Eisner et al. 2004, ApJ, submitted. Ringberg Castle, 2004. Circumstellar Disks.

By MikeCarlo
(293 views)

ADVANCED PLANNING BRIEFING TO INDUSTRY

ADVANCED PLANNING BRIEFING TO INDUSTRY

ADVANCED PLANNING BRIEFING TO INDUSTRY. TANK & MEDIUM CALIBER ARMAMENT SYSTEMS Mr. Bruce Potter Business Manager 14 Feb 02. TANK & MEDIUM-CALIBER ARMAMENT SYSTEMS MISSION.

By Pat_Xavi
(341 views)

Formal Language and Automata Theory

Formal Language and Automata Theory

Formal Language and Automata Theory. Cheng-Chia Chen September 2010. Course outlines. Introduction: Mathematical preliminaries: sets, relations, functions,sequences, graphs, trees, proof by induction, definition by induction (recursion). Basics of formal languages:

By Rita
(911 views)

The Pumping Lemma for Context Free Grammars

The Pumping Lemma for Context Free Grammars

The Pumping Lemma for Context Free Grammars. Chomsky Normal Form. Chomsky Normal Form (CNF) is a simple and useful form of a CFG Every rule of a CNF grammar is in the form A BC A a Where “a” is any terminal and A,B,C are any variables except B and C may not be the start variable

By JasminFlorian
(276 views)

Development Strategies

Development Strategies

Development Strategies. Dr. Yan Xiong College of Business CSU Sacramento 10/12/03. Agenda. Software Packages In-house Development Outsourcing Business Process Reengineering (BPR) Prototyping. Purchase Software.

By Pat_Xavi
(234 views)

Development and Validation of Predictive Classifiers using Gene Expression Profiles

Development and Validation of Predictive Classifiers using Gene Expression Profiles

Development and Validation of Predictive Classifiers using Gene Expression Profiles. Richard Simon, D.Sc. Chief, Biometric Research Branch National Cancer Institute http://brb.nci.nih.gov. BRB Website brb.nci.nih.gov. Powerpoint presentations and audio files Reprints & Technical Reports

By deon
(220 views)

Lecture III: Collective Behavior of Multi -Agent Systems: Analysis

Lecture III: Collective Behavior of Multi -Agent Systems: Analysis

Lecture III: Collective Behavior of Multi -Agent Systems: Analysis. Zhixin Liu Complex Systems Research Center, Academy of Mathematics and Systems Sciences, CAS. In the last lecture, we talked about. Complex Networks Introduction Network topology Average path length

By paul
(348 views)

The Halting Problem

The Halting Problem

The Halting Problem. Thomas Dohaney 2/7/08. Overview. Review TMs Parts of a TM Description of a TM Intro to Halting Problem Can a TM accept a TM as input? The Halting Problem Proof The Halting Problem is not possible in C UTMs and the TM in the Halting Problem References.

By glenna
(328 views)

Short Line Fault

Short Line Fault

Short Line Fault. Skeats Described: L:sourc.Inductance L 1 :line Induct. To F E :Instant. emf V PW =1/2 L 1 /[L 1 + L] E 2 travel B and F At F, sh. CCT. At C.B., open CCT. . Wedge-shaped Wave Formation . Initial Distribution After Wave Separation Each reflected α C.B. Ter.=1

By willis
(186 views)

Limits of Sequences of Real Numbers

Limits of Sequences of Real Numbers

Limits of Sequences of Real Numbers. Sequences of Real Numbers Limits through Rigorous Definitions The Squeeze Theorem Using the Squeeze Theorem Monotonous Sequences. Sequences of Numbers. Definition. 1. Examples. 2. 3. Limits of Sequences. Definition.

By ami
(433 views)

Generation of Attribute Value Taxonomies from Data for Data-Driven Construction of Accurate and Compact Classifiers

Generation of Attribute Value Taxonomies from Data for Data-Driven Construction of Accurate and Compact Classifiers

Generation of Attribute Value Taxonomies from Data for Data-Driven Construction of Accurate and Compact Classifiers. Dae-Ki Kang , Adrian Silvescu, Jun Zhang and Vasant Honavar Artificial Intelligence Research Laboratory Iowa State University, USA.

By bunme
(150 views)

Sets

Sets

Sets. A. B. Lecture 11: Oct 24. C. This Lecture. We will first introduce some basic set theory before we do counting. Basic Definitions Operations on Sets Set Identities Russell’s Paradox. Defining Sets. Definition: A set is an unordered collection of objects.

By syshe
(331 views)

Relational Algebra

Relational Algebra

Relational Algebra. What is Relational Algebra?. Defines operations (data retrieval) for relational model SQL’s DML (Data Manipulation Language) has data retrieval facilities, which are equivalent to that of relational algebra.

By alyn
(333 views)

Thinking Mathematically

Thinking Mathematically

Thinking Mathematically. Arithmetic and Geometric Sequences. 8. 2. 5. 3. 1. 1. a 3 =. a 4 =. a 6 =. a 5 =. a 1. a 2. a 3 + a 4. a 1 + a 2. a 4 + a 5. a 2 + a 3. “Sequences”.

By yamal
(89 views)

MIC328: Lecture 19

MIC328: Lecture 19

MIC328: Lecture 19. AIMS: To provide. Brief introduction to E. coli: a versatile pathogen Overview of Enterotoxigenic E. coli (ETEC) . E. coli - a versatile pathogenic species. Single species causes a variety of different diseases.

By jael
(142 views)

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