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79:02
Arsdigita 02 (Discrete Mathematics) Lecture 1/20
Arsdigita 02 (Discrete Mathematics) Lecture 1/20
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44:10
Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010
Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010
Lecture 1: Introduction and Proofs Instructor: Tom Leighton View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More in...
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31:02
Discrete Mathematics 1: Introduction and Bubble Sort
Discrete Mathematics 1: Introduction and Bubble SortDiscrete Mathematics 1: Introduction and Bubble Sort
On a starting note, this is covering the OCR D1 Math course. I know it's not Chemistry but I wanted to do it anyway. By the end of the video you should know ...
-
5:12
Discrete Math truth tables part 1
Discrete Math truth tables part 1Discrete Math truth tables part 1
Basic ideas in discrete Math Basics of truth tables.
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1:44
Math Help : How to Understand Discrete Math
Math Help : How to Understand Discrete MathMath Help : How to Understand Discrete Math
Discrete mathematics, or finite mathematics, involves breaking up sets of elements into separate or discontinuous parts. Perform discrete mathematics in the ...
-
15:11
Discrete Mathematics 1: Introduction to Graphs
Discrete Mathematics 1: Introduction to GraphsDiscrete Mathematics 1: Introduction to Graphs
At the end of this video, you should be able to recognise the properties of graphs in discrete mathematics, realise the difference between simple and complex...
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13:44
Video Lesson - Sets (Discrete Mathematics)
Video Lesson - Sets (Discrete Mathematics)Video Lesson - Sets (Discrete Mathematics)
Here's a second project for my discrete math class.
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56:47
Lecture 1 - Propositional Logic
Lecture 1 - Propositional LogicLecture 1 - Propositional Logic
Discrete Mathematical Structures.
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11:05
Discrete Math: Intro to Relations
Discrete Math: Intro to RelationsDiscrete Math: Intro to Relations
Discrete Math: Intro to Relations.
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6:01
Discrete Math 2 - Tutorial 1 - Rule of Sum and Product
Discrete Math 2 - Tutorial 1 - Rule of Sum and ProductDiscrete Math 2 - Tutorial 1 - Rule of Sum and Product
First video for Discrete math 2. Introduction to counting. Rule of Sum and Product. Please rate, comment and subscribe.
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78:25
Arsdigita 02 (Discrete Mathematics) Lecture 18/20
Arsdigita 02 (Discrete Mathematics) Lecture 18/20Arsdigita 02 (Discrete Mathematics) Lecture 18/20
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
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88:04
Arsdigita 02 (Discrete Mathematics) Lecture 6/20
Arsdigita 02 (Discrete Mathematics) Lecture 6/20Arsdigita 02 (Discrete Mathematics) Lecture 6/20
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
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1:21Labyrinth Discrete Math
Labyrinth Discrete MathLabyrinth Discrete Math
Labyrinth Discrete Math.
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3:34Power Set (Discrete Maths)
Power Set (Discrete Maths)Power Set (Discrete Maths)
www.Stats-Lab.com | Discrete Mathematics | Set Theory | Power Set
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Arsdigita 02 (Discrete Mathematics) Lecture 1/20
- Order: Reorder
- Duration: 79:02
- Updated: 15 Aug 2013
Course 02: Discrete Mathematics (Arsdigita University) NOTE: I will delete off-topic comments, especially offensive ones related to the lecturer's religious ...
http://wn.com/Arsdigita_02_Discrete_Mathematics_Lecture_1_20
Course 02: Discrete Mathematics (Arsdigita University) NOTE: I will delete off-topic comments, especially offensive ones related to the lecturer's religious ...
- published: 20 Aug 2012
- views: 33346
- author: Jaap Weel
Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010
- Order: Reorder
- Duration: 44:10
- Updated: 18 Aug 2013
Lecture 1: Introduction and Proofs Instructor: Tom Leighton View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More in...
http://wn.com/Lec_1_|_MIT_6042J_Mathematics_for_Computer_Science,_Fall_2010
Lecture 1: Introduction and Proofs Instructor: Tom Leighton View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More in...
- published: 31 Dec 2012
- views: 22079
- author: MIT
Discrete Mathematics 1: Introduction and Bubble Sort
- Order: Reorder
- Duration: 31:02
- Updated: 08 Aug 2013
On a starting note, this is covering the OCR D1 Math course. I know it's not Chemistry but I wanted to do it anyway. By the end of the video you should know ...
http://wn.com/Discrete_Mathematics_1_Introduction_and_Bubble_Sort
On a starting note, this is covering the OCR D1 Math course. I know it's not Chemistry but I wanted to do it anyway. By the end of the video you should know ...
- published: 10 May 2012
- views: 1675
- author: Jake Turner
Discrete Math truth tables part 1
- Order: Reorder
- Duration: 5:12
- Updated: 22 Jun 2013
Basic ideas in discrete Math Basics of truth tables.
http://wn.com/Discrete_Math_truth_tables_part_1
Basic ideas in discrete Math Basics of truth tables.
- published: 20 Dec 2012
- views: 499
- author: ciardullo117
Math Help : How to Understand Discrete Math
- Order: Reorder
- Duration: 1:44
- Updated: 28 Jul 2013
Discrete mathematics, or finite mathematics, involves breaking up sets of elements into separate or discontinuous parts. Perform discrete mathematics in the ...
http://wn.com/Math_Help_How_to_Understand_Discrete_Math
Discrete mathematics, or finite mathematics, involves breaking up sets of elements into separate or discontinuous parts. Perform discrete mathematics in the ...
- published: 06 Dec 2008
- views: 18098
- author: eHow
Discrete Mathematics 1: Introduction to Graphs
- Order: Reorder
- Duration: 15:11
- Updated: 15 Aug 2013
At the end of this video, you should be able to recognise the properties of graphs in discrete mathematics, realise the difference between simple and complex...
http://wn.com/Discrete_Mathematics_1_Introduction_to_Graphs
At the end of this video, you should be able to recognise the properties of graphs in discrete mathematics, realise the difference between simple and complex...
- published: 23 May 2012
- views: 3921
- author: Jake Turner
Video Lesson - Sets (Discrete Mathematics)
- Order: Reorder
- Duration: 13:44
- Updated: 09 Aug 2013
Here's a second project for my discrete math class.
http://wn.com/Video_Lesson_Sets_Discrete_Mathematics
Here's a second project for my discrete math class.
- published: 13 Feb 2012
- views: 5741
- author: 4ce0fSp4des
Lecture 1 - Propositional Logic
- Order: Reorder
- Duration: 56:47
- Updated: 18 Aug 2013
Discrete Mathematical Structures.
http://wn.com/Lecture_1_Propositional_Logic
Discrete Math: Intro to Relations
- Order: Reorder
- Duration: 11:05
- Updated: 11 Aug 2013
Discrete Math: Intro to Relations.
http://wn.com/Discrete_Math_Intro_to_Relations
Discrete Math 2 - Tutorial 1 - Rule of Sum and Product
- Order: Reorder
- Duration: 6:01
- Updated: 01 Aug 2013
First video for Discrete math 2. Introduction to counting. Rule of Sum and Product. Please rate, comment and subscribe.
http://wn.com/Discrete_Math_2_Tutorial_1_Rule_of_Sum_and_Product
First video for Discrete math 2. Introduction to counting. Rule of Sum and Product. Please rate, comment and subscribe.
- published: 16 Dec 2011
- views: 4588
- author: coursehack
Arsdigita 02 (Discrete Mathematics) Lecture 18/20
- Order: Reorder
- Duration: 78:25
- Updated: 27 May 2013
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
http://wn.com/Arsdigita_02_Discrete_Mathematics_Lecture_18_20
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
- published: 07 Jun 2012
- views: 1387
- author: Jaap Weel
Arsdigita 02 (Discrete Mathematics) Lecture 6/20
- Order: Reorder
- Duration: 88:04
- Updated: 18 Aug 2013
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
http://wn.com/Arsdigita_02_Discrete_Mathematics_Lecture_6_20
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
- published: 07 Jun 2012
- views: 5301
- author: Jaap Weel
Labyrinth Discrete Math
- Order: Reorder
- Duration: 1:21
- Updated: 02 Aug 2013
Labyrinth Discrete Math.
http://wn.com/Labyrinth_Discrete_Math
Power Set (Discrete Maths)
- Order: Reorder
- Duration: 3:34
- Updated: 18 Dec 2013
www.Stats-Lab.com | Discrete Mathematics | Set Theory | Power Set
http://wn.com/Power_Set_Discrete_Maths
www.Stats-Lab.com | Discrete Mathematics | Set Theory | Power Set
- published: 18 Dec 2013
- views: 4
CS101 - Discrete Mathematics: Foundation for Computer Science (বিচ্ছিন্ন গণিত)
- Order: Reorder
- Duration: 2:07
- Updated: 18 Feb 2014
Introductory video of Discrete Mathematics: Foundation for Computer Science Course by Dimik Computing School. The course will be conducted online and in Bangla. This course will teach about mathematical proof and basic probability and some mathematical theories required for a computer science student. This course require prior knowledge of basics arithmetic and some preliminary knowledge of Probability . Anyone can en-roll in this course free of cost. The course is designed in a complete MOOC pattern.
The course will start on 15th, March, 2014
Follow us on Facebook: https://www.facebook.com/DimikComputing
দ্বিমিক কম্পিউটিং স্কুল পরিচালিত দ্বিতীয় কোর্স ডিসক্রিট ম্যাথ / বিচ্ছিন্ন গণিত কোর্সের শুরু হতে যাচ্ছে আগামী ১৫ই মার্চ, ২০১৪ তারিখ থেকে। কোর্সটিতে যে কেউ অনলাইনে ফ্রি অংশগ্রহণ করতে পারবে।
কোর্সটি হবে ৮ সপ্তাহের। কোর্সের ওয়েব সাইট পরবর্তীতে ফেইসবুক পেইজে জানিয়ে দেয়া হবে।
http://wn.com/CS101_Discrete_Mathematics_Foundation_for_Computer_Science_বিচ্ছিন্ন_গণিত
Introductory video of Discrete Mathematics: Foundation for Computer Science Course by Dimik Computing School. The course will be conducted online and in Bangla. This course will teach about mathematical proof and basic probability and some mathematical theories required for a computer science student. This course require prior knowledge of basics arithmetic and some preliminary knowledge of Probability . Anyone can en-roll in this course free of cost. The course is designed in a complete MOOC pattern.
The course will start on 15th, March, 2014
Follow us on Facebook: https://www.facebook.com/DimikComputing
দ্বিমিক কম্পিউটিং স্কুল পরিচালিত দ্বিতীয় কোর্স ডিসক্রিট ম্যাথ / বিচ্ছিন্ন গণিত কোর্সের শুরু হতে যাচ্ছে আগামী ১৫ই মার্চ, ২০১৪ তারিখ থেকে। কোর্সটিতে যে কেউ অনলাইনে ফ্রি অংশগ্রহণ করতে পারবে।
কোর্সটি হবে ৮ সপ্তাহের। কোর্সের ওয়েব সাইট পরবর্তীতে ফেইসবুক পেইজে জানিয়ে দেয়া হবে।
- published: 18 Feb 2014
- views: 409
Discrete Math 1 - Tutorial 35 - Proof by Contradiction Example
- Order: Reorder
- Duration: 7:33
- Updated: 09 Jun 2013
Proof by Contradiction Example Please comment, rate and subscribe. :) Follow us on twitter : https://twitter.com/#!/coursehack Become a fan on facebook : htt...
http://wn.com/Discrete_Math_1_Tutorial_35_Proof_by_Contradiction_Example
Proof by Contradiction Example Please comment, rate and subscribe. :) Follow us on twitter : https://twitter.com/#!/coursehack Become a fan on facebook : htt...
- published: 11 May 2013
- views: 131
- author: coursehack
Discrete Mathematics : Logical Truth Tables
- Order: Reorder
- Duration: 5:27
- Updated: 25 Jun 2013
Introduction to Logical Truth Tables.
http://wn.com/Discrete_Mathematics_Logical_Truth_Tables
Arsdigita 02 (Discrete Mathematics) Lecture 2/20
- Order: Reorder
- Duration: 93:38
- Updated: 11 Aug 2013
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
http://wn.com/Arsdigita_02_Discrete_Mathematics_Lecture_2_20
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
- published: 20 Aug 2012
- views: 7791
- author: Jaap Weel
Arsdigita 02 (Discrete Mathematics) Lecture 11/20
- Order: Reorder
- Duration: 84:35
- Updated: 15 Aug 2013
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
http://wn.com/Arsdigita_02_Discrete_Mathematics_Lecture_11_20
Course 02: Discrete Mathematics (Arsdigita University) This course covers the mathematical topics most directly related to computer science. Topics include: ...
- published: 07 Jun 2012
- views: 3551
- author: Jaap Weel
Discrete Mathematics : Sequences
- Order: Reorder
- Duration: 3:44
- Updated: 27 Aug 2013
kobriendublinw.wordpress.com
Sequences.
http://wn.com/Discrete_Mathematics_Sequences
kobriendublinw.wordpress.com
Sequences.
- published: 27 Aug 2013
- views: 3
Discrete Mathematics : Properties of Functions (Example 1)
- Order: Reorder
- Duration: 4:29
- Updated: 04 Jun 2013
kobriendublin.wordpress.com Determining whether a function is one-to-one, onto and invertible.
http://wn.com/Discrete_Mathematics_Properties_of_Functions_Example_1
kobriendublin.wordpress.com Determining whether a function is one-to-one, onto and invertible.
- published: 28 Apr 2013
- views: 28
- author: StatsLabDublin
Discrete Mathematics : Basic Matrix Operations
- Order: Reorder
- Duration: 3:42
- Updated: 26 Apr 2013
visit kobriendublin.wordpress.com for more videos Scalar Multiplication, Matrix Addition, Matrix Subtraction.
http://wn.com/Discrete_Mathematics_Basic_Matrix_Operations
visit kobriendublin.wordpress.com for more videos Scalar Multiplication, Matrix Addition, Matrix Subtraction.
- published: 30 Mar 2013
- views: 47
- author: StatsLabDublin
EECS 203: Discrete Mathematics - Geometric Sequence and Its Sum
- Order: Reorder
- Duration: 9:03
- Updated: 02 May 2013
By: Ashley Church Alex Ihlenburg Wai Khan Yap Joshua Yu.
http://wn.com/EECS_203_Discrete_Mathematics_Geometric_Sequence_and_Its_Sum
By: Ashley Church Alex Ihlenburg Wai Khan Yap Joshua Yu.
- published: 19 Feb 2012
- views: 969
- author: Wai Khan Yap
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photo: NASA / NASA Ames/SETI Institute/JPL-Caltech
18 Apr 2014
Astronomers have discovered what they say is the most Earth-like planet yet detected - a distant, rocky world that is similar in size to our planet and orbiting in a life-friendly zone around a distant star. The find, announced on Thursday, excited planet hunters who have been scouring the Milky Way galaxy for years for potentially habitable spots outside our solar system ... Analysis of archived Kepler data continues....(size: 2.8Kb)
photo: AP / Ahn Young-joon
17 Apr 2014
Zlatica Hoke. WASHINGTON — South Korea continues desperate efforts to save some 300 people still missing a day after a ferry carrying about 470 passengers sank off the country's southwestern coast. Most of the passengers were high school students and their teachers on an excursion. At least six people have been confirmed dead so far, and about 180 have been plucked from the sunken vessel or the waters around it. A U.S ... ... ....(size: 2.9Kb)
photo: AP / SANA
16 Apr 2014
WASHINGTON — Syria's opposition fighters have been supplied with U.S.-made anti-tank missiles, the first time a major American weapons system has appeared in rebel hands. It is unclear how the rebels obtained the wire-guided missiles, which are capable of penetrating heavy armor and fortifications and are standard in the U.S. military arsenal ... Both countries aid Syrian opposition groups. U.S ... leadership ... . ....(size: 4.7Kb)
photo: AP / Ahn Young-joon
16 Apr 2014
At least one person has been reported dead, and six people were injured when a South Korean ferry carrying hundreds of passenegrs sank off the country's south-west coast ... Al Jazeera's Harry Fawcett, reporting from Seoul, said ... 202 Source.. Al Jazeera and agencies. ....(size: 1.3Kb)
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noodls
17 Apr 2014
(Source. Rutgers University) ... Called "Heartbleed" (derived from the word "heartbeat"), the threat is different from previous scares that applied to a particular operating system, program or task ... Rutgers Today asked Rebecca Wright, professor of computer science and director of the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS), to explain Heartbleed and how Web users can protect themselves. Rutgers Today....(size: 3.7Kb)
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Hot Topic: Internet Security Threat Potentially Touches All Who ‘Surf the Web’ (Rutgers University, New Brunswick)
noodls17 Apr 2014
(Source. Rutgers University, New Brunswick) ... Called "Heartbleed" (derived from the word "heartbeat"), the threat is different from previous scares that applied to a particular operating system, program or task ... Rutgers Today asked Rebecca Wright, professor of computer science and director of the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS), to explain Heartbleed and how Web users can protect themselves....(size: 3.8Kb)
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ACM Honors Computing Innovators Who Are Changing the World April 16, 2014 (ACM - Association for Computing Machinery)
noodls16 Apr 2014
Cilk simplifies multiprocessor programming and guarantees mathematically that multithreaded programs with sufficient parallelism run with near-perfect speed ... Intended primarily for undergraduate students or as an advanced topic for high school, JFLAP is used worldwide in computer science theory, compiler, and discrete mathematics courses....(size: 8.5Kb)
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National Museum of Mathematics and Time Warner Cable Launch Family Fridays Partnership to Provide Engaging ...
San Francisco Chronicle09 Apr 2014
The National Museum of Mathematics (MoMath) and Time Warner Cable announce a new partnership aimed at providing free mathematical opportunities to low-income families ... Led by mathematician Colm Mulcahy, Mathemagic with a Deck of Cards will present a sampling of mathematical card tricks, both recent and classical, that draws from ideas in algebra, discrete mathematics, and probability ... About the National Museum of Mathematics....(size: 4.6Kb)
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noodls
08 Apr 2014
Anderson said he is uncertain of his future goals, but he may pursue a doctorate in discrete mathematics and potentially conduct research and teach at the university level ... During that time, he worked on projects in the field of discrete mathematics, and produced an article, titled "Constructively Coloring the Line," that was published in the Geombinatorics journal....(size: 2.6Kb)
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U~T San Diego
12 Mar 2014
UC San Diego’s Jacobs School of Engineering and its School of Medicine’s research program were named the 14th best in the nation this year by U.S ... 9 in the nation ... This year it offered data on programs in science, technology, engineering and mathematics. UC San Diego received high marks in specialties such as discrete mathematics and combinations, which was ranked third, and neuroscience/neurobiology, ranked No. 2 ... Karen Kucher • U-T. - ... ....(size: 2.3Kb)
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U~T San Diego
11 Mar 2014
UC San Diego’s Jacobs School of Engineering and its School of Medicine’s research program were named the 14th best in the nation this year by U.S ... 9 in the nation ... This year it offered data on programs in science, technology, engineering and mathematics. UC San Diego received high marks in specialties such as discrete mathematics and combinations, which was ranked third, and neuroscience/neurobiology, ranked No. 2 ... -. Comments ... ....(size: 2.3Kb)
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U.S. News ranks MIT’s graduate program in Engineering No. 1; Sloan is No. 5 business school (MIT - Massachusetts Institute of Technology)
noodls11 Mar 2014
(Source. MIT - Massachusetts Institute of Technology). MIT's graduate program in engineering has been ranked No. 1 in the country in U.S ... U.S ... In U.S ... 1 ranking ... 1 ranking in the specialty of inorganic chemistry); computer science (tied with Carnegie Mellon University, Stanford, and Berkeley); mathematics (tied with Princeton University, and with a No. 1 ranking in the specialty of discrete mathematics and combinations); and physics ... 2 ... U.S....(size: 3.1Kb)
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Massachusetts Institute of Technology Professor Charles E. Leiserson Named 2014 Recipient of IEEE Computer Society Taylor L. Booth Award
PR Newswire27 Feb 2014
LOS ALAMITOS, Calif., Feb ... The creator of MIT undergraduate courses on algorithms and on discrete mathematics for computer science, he headed the computer-science program for the pioneering Singapore-MIT Alliance and developed MIT's undergraduate class on software performance engineering, which teaches parallel programming as one of several techniques for writing fast code. ... The Taylor L ... The award is named after Taylor L ... ....(size: 5.3Kb)
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Considering a career change? The M.S. in Computer Science may be for you (The University of Tennessee at Chattanooga)
noodls03 Feb 2014
(Source. The University of Tennessee at Chattanooga) ... "Anyone who is eager to change their career or move to an interdisciplinary career that requires knowledge and skills in computer science will benefit from this degree," explainedDr ... They may also expect three or less mathematics courses-calculus, discrete mathematics, and statistics-dependent upon their undergraduate discipline ... For more information, visit the M.S ... Share ....(size: 2.6Kb)
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noodls
29 Jan 2014
Anderson is a mathematics major who attended Century High School in Bismarck, N.D ... During that time, he worked on projects in the field of discrete mathematics, and produced an article, titled "Constructively Coloring the Line," that was published in the Geombinatorics journal. Anderson plans to seek a doctorate in discrete mathematics, with the hope to become a research professor....(size: 4.4Kb)
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The Times of India
17 Jan 2014
"Advanced developments in areas like applied mathematics, algebra, mathematical and numerical analysis, number theory, differential geometry, fuzzy mathematics, thermoelasticity, differential equations, discrete mathematics, fluid mechanics, computational mathematics, operations research, statistics, general relativity, cosmology, quantum mechanics ......(size: 2.4Kb)
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noodls
14 Jan 2014
4, with the second annual AMC (American Mathematics Competition) 10/12 event. Hosted by the RU Department of Mathematics and Statistics and the Math Club, the event is sponsored by the Mathematical Association of America. The young mathematicians from Southwest Virginia will be challenged by a 25-question, 90-minute exam of algebra, geometry and discrete mathematics ... at the International Mathematical Olympiad....(size: 2.4Kb)
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Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact, universally agreed, definition of the term "discrete mathematics." Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.
The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business.
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http://en.wikipedia.org/wiki/Discrete_mathematics
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
