number theoretic Videos

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Speaker: Vince Poor, Princeton University nnRapid growth in the number of devices connected through the internet of things (IoT) poses major challenges to maintaining connectivity, functionality, and security, as demonstrated by prominent cyber attacks launched through IoT devices. Traditional approaches in cyber security such as firewalls and encryption aim to prevent malicious intrusion, however additional countermeasures and approaches are necessary to detect and respond to malicious behavior
⏲ 16 min 49 sec ✓ 29-Jun-2018
Akshunna Shaurya Dogra nRutgers Experimental Math Seminar, Oct. 11, 2018nAbstract: This talk will discuss minimal length representations of the Natural numbers under elements from a pre-defined symbol library O. We will mostly focus on symbol libraries consisting of 1 and different kinds of hyper-operations. We will go over both general and specific patterns emerging from different choices of symbol libraries, obtain bounds on the lengths expected, define numbers of special interest and prove an
⏲ 13 min 63 sec ✓ 12-Oct-2018
Eric Rowland, Rutgers Mathematics Department Colloquium and Experimental Mathematics Seminar, September 27, 2013.nnSee part 2 at https://vimeo.com/75612108.nnAbstract: In the past decade there have been several papers studying number theoretic properties of fundamental combinatorial sequences such as the Catalan and Motzkin numbers. For the most part, the proofs use ad hoc methods particular to the combinatorics of each sequence. I will talk about a general method for producing congruences for s
⏲ 17 min 99 sec ✓ 02-Oct-2013
“MI CASA SOY YO” nProyección a ParednVideo NTSC : 7:00 min.nTeresa Serrano 2002nnThe video concept is about the mobility and occupancy chain and sociology ofndistribution. It was filmed in a National Geographic format; it is a documentarynon hermit crabs.nDistribution through the vacancy chain (disponibility), organizes a variety ofnsocial processes in a similar manner in any population in which it occurs, eithernhuman or animal. Beings that change work, houses, offices, those who acq
⏲ 4 min 64 sec ✓ 31-Dec-2014
Kellen Myers, Rutgers Experimental Mathematics Seminar, April 24, 2014nnSee part 1 at https://vimeo.com/92883419.nnAbstract: The field of Ramsey Theory is well-known for its extremely large bounds. Often a Ramsey Theoretic quantity is bounded above by an astronomical number (e.g. Graham's number) but is believed to be much smaller. This frequent over-estimation in proofs hints at how difficult it is to calculate the exact values of these quantities.nI will present a few practical techniques to c
⏲ 11 min 67 sec ✓ 25-Apr-2014
Akshunna Shaurya Dogra nRutgers Experimental Math Seminar, Oct. 11, 2018nAbstract: This talk will discuss minimal length representations of the Natural numbers under elements from a pre-defined symbol library O. We will mostly focus on symbol libraries consisting of 1 and different kinds of hyper-operations. We will go over both general and specific patterns emerging from different choices of symbol libraries, obtain bounds on the lengths expected, define numbers of special interest and prove an
⏲ 16 min 3 sec ✓ 12-Oct-2018
AUTHORS: Min Chen, Heike JänickennABSTRACT: In this paper, we examine whether or not information theory can be one of the theoretic frameworks for visualization. We formulate concepts and measurements for qualifying visual information. We illustrate these concepts with examples that manifest the intrinsic and implicit use of information theory in many existing visualization techniques. We outline the broad correlation between visualization and the major applications of information theory, while
⏲ 15 min 8 sec ✓ 04-Oct-2013
Interrupted Architectures: Unfinished Medieval Buildings between Failure and 'Open Work' (11th-14th century)nnWorkshopnnOnline event via Zoomn03.03.2021—05.03.2021nnIn recent years the concept of the ‘Unfinished’ in contemporary architecture has undergone a significant critical development. From a theoretic standpoint, the Unfinished is mainly associated with Umberto Eco’s concept of ‘Open work’, which stresses the aspects of fluidity and the openness of contemporary works of art and
⏲ 149 min 78 sec ✓ 21-May-2021
2007 Plenary LecturenReflections on the Broadcast Channel: Progress and Challenges nProfessor Shlomo ShamainDepartment of Electrical EngineeringnTechnion - Israel Institute of TechnologynnAbstractnThe classical Gaussian broadcast channel is addressed in a perspective of traditional and novel information theoretic concepts and techniques, touching also upon implications on practical wireless systems. We start by introducing the standard broadcast channel, and briefly review some basic results on
⏲ 34 min 30 sec ✓ 04-May-2017
Speaker: Vince Poor, Princeton University nnRapid growth in the number of devices connected through the internet of things (IoT) poses major challenges to maintaining connectivity, functionality, and security, as demonstrated by prominent cyber attacks launched through IoT devices. Traditional approaches in cyber security such as firewalls and encryption aim to prevent malicious intrusion, however additional countermeasures and approaches are necessary to detect and respond to malicious behavior
⏲ 1 min 85 sec ✓ 29-Jun-2018
Noam Zeilberger, University of Birmingham, UK nRutgers Experimental Math Seminar, Sep. 13, 2018 nAbstract:The classical Tamari lattice Yn is defined as the set of binary trees with n internal nodes, with the partial ordering induced by the (right) rotation operation. It is not obvious why Yn is a lattice, but this was first proved by Haya Friedman and Dov Tamari in the late 1950s. More recently, Frédéric Chapoton discovered (via the OEIS) another surprising fact about the rotation ordering,
⏲ 12 min 93 sec ✓ 14-Sep-2018
We introduce a framework for the evaluation of multiclass classifiers by exploring their confusion matrices. Instead of using error-counting measures of performance, we concentrate in quantifying the information transfer from true to estimated labels using information-theoretic measures. First, the Entropy Triangle allows us to visualize the balance of mutual information, variation of information and the deviation from uniformity in the true and estimated label distributions. Next the Entropy-Mo
⏲ 4 min 8 sec ✓ 01-Nov-2019
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