Princeton University: Coursera - Analytic Combinatorics, Part II (2013)
Princeton University: Coursera - Analytic Combinatorics, Part II (2013)
English | MP4 | 960 x 540 | AVC ~167 kbps | 29.970 fps
AAC | 127 Kbps | 44.1 KHz | 2 channels | Subs: English (srt) | ~11 hours | 1.48 GB
AAC | 127 Kbps | 44.1 KHz | 2 channels | Subs: English (srt) | ~11 hours | 1.48 GB
Genre: eLearning Video / Mathematics
This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part II introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and methods in complex analysis for deriving accurate asymptotics from the GF equations.Analytic Combinatorics is based on formal methods for deriving functional relationships on generating functions and asymptotic analysis treating those functions as functions in the complex plane. Part II covers the symbolic method for defining generating functions immediately from combinatorial constructions, then develops methods for directly deriving asymptotic results from those generating functions, using complex asymptotics, singularity analysis, saddle-point asymptotics, and limit laws. The course teaches the precept "if you can specify it, you can analyze it".
Lecture 1 Combinatorial Structures and OGFs
Lecture 2 Labelled Structures and EGFs
Lecture 3 Combinatorial Parameters and MGFs
Lecture 4 Complex Analysis, Rational and Meromorphic Asymptotics
Lecture 5 Applications of Rational and Meromorphic Asymptotics
Lecture 6 Singularity Analysis of Generating Functions
Lecture 7 Applications of Singularity Analysis
Lecture 8 Saddle-Point Asymptotics
Lecture 2 Labelled Structures and EGFs
Lecture 3 Combinatorial Parameters and MGFs
Lecture 4 Complex Analysis, Rational and Meromorphic Asymptotics
Lecture 5 Applications of Rational and Meromorphic Asymptotics
Lecture 6 Singularity Analysis of Generating Functions
Lecture 7 Applications of Singularity Analysis
Lecture 8 Saddle-Point Asymptotics
More Info: https://www.coursera.org/course/ac
General
Complete name : 03_Rational_Functions.mp4
Format : MPEG-4
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File size : 42.0 MiB
Duration : 19mn 23s
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Duration : 19mn 23s
Bit rate mode : Constant
Bit rate : 127 Kbps
Channel(s) : 2 channels
Channel positions : Front: L R
Sampling rate : 44.1 KHz
Compression mode : Lossy
Stream size : 17.7 MiB (42%)
Complete name : 03_Rational_Functions.mp4
Format : MPEG-4
Format profile : Base Media
Codec ID : isom
File size : 42.0 MiB
Duration : 19mn 23s
Overall bit rate : 303 Kbps
Writing application : Lavf53.29.100
Video #1
ID : 1
Format : AVC
Format/Info : Advanced Video Codec
Format profile : High@L3.1
Format settings, CABAC : Yes
Format settings, ReFrames : 4 frames
Codec ID : avc1
Codec ID/Info : Advanced Video Coding
Duration : 19mn 23s
Bit rate : 167 Kbps
Width : 960 pixels
Height : 540 pixels
Display aspect ratio : 16:9
Frame rate mode : Constant
Frame rate : 29.970 fps
Color space : YUV
Chroma subsampling : 4:2:0
Bit depth : 8 bits
Scan type : Progressive
Bits/(Pixel*Frame) : 0.011
Stream size : 23.2 MiB (55%)
Writing library : x264 core 120 r2120 0c7dab9
Encoding settings : cabac=1 / ref=3 / deblock=1:0:0 / analyse=0x3:0x113 / me=hex / subme=7 / psy=1 / psy_rd=1.00:0.00 / mixed_ref=1 / me_range=16 / chroma_me=1 / trellis=1 / 8x8dct=1 / cqm=0 / deadzone=21,11 / fast_pskip=1 / chroma_qp_offset=-2 / threads=12 / sliced_threads=0 / nr=0 / decimate=1 / interlaced=0 / bluray_compat=0 / constrained_intra=0 / bframes=3 / b_pyramid=2 / b_adapt=1 / b_bias=0 / direct=1 / weightb=1 / open_gop=0 / weightp=2 / keyint=250 / keyint_min=25 / scenecut=40 / intra_refresh=0 / rc_lookahead=40 / rc=crf / mbtree=1 / crf=28.0 / qcomp=0.60 / qpmin=0 / qpmax=69 / qpstep=4 / ip_ratio=1.40 / aq=1:1.00
Audio #2
ID : 2
Format : AAC
Format/Info : Advanced Audio Codec
Format profile : LC
Codec ID : 40
Duration : 19mn 23s
Bit rate mode : Constant
Bit rate : 127 Kbps
Channel(s) : 2 channels
Channel positions : Front: L R
Sampling rate : 44.1 KHz
Compression mode : Lossy
Stream size : 17.7 MiB (42%)
Screenshots
Princeton University: Coursera - Analytic Combinatorics, Part II (2013)
Princeton University: Coursera - Analytic Combinatorics, Part II (2013)
Princeton University: Coursera - Analytic Combinatorics, Part II (2013)
Princeton University: Coursera - Analytic Combinatorics, Part II (2013)
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