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1Fatal Stabbing At High Park TTC Station Joins The List Of Random Violence In Our City

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Greg & Sheba discuss the growing number of violent attacks in Toronto.

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2America At Random : Q & A

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251 pages : 21 cm

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3Conversations At Random: Survey Research As Interviewers See It

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251 pages : 21 cm

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4Double Scaling Limit In Random Matrix Models And Semiclassical Asymptotics Of Orthogonal Polynomials At Critical Points

Speaker: Pavel Bleher Date: May 2003

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5A Random Walk On Z With Drift Driven By Its Occupation Time At Zero

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We consider a nearest neighbor random walk on the one-dimensional integer lattice with drift towards the origin determined by an asymptotically vanishing function of the number of visits to zero. We show the existence of distinct regimes according to the rate of decay of the drift. In particular, when the rate is sufficiently slow, the position of the random walk, properly normalized, converges to a symmetric exponential law. In this regime, in contrast to the classical case, the range of the walk scales differently from its position.

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6Effect Of Random Fluctuations On Quantum Spin-glass Transitions At Zero Temperature

We consider a nearest neighbor random walk on the one-dimensional integer lattice with drift towards the origin determined by an asymptotically vanishing function of the number of visits to zero. We show the existence of distinct regimes according to the rate of decay of the drift. In particular, when the rate is sufficiently slow, the position of the random walk, properly normalized, converges to a symmetric exponential law. In this regime, in contrast to the classical case, the range of the walk scales differently from its position.

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7On A Greedy 2-Matching Algorithm And Hamilton Cycles In Random Graphs With Minimum Degree At Least Three

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We describe and analyse a simple greedy algorithm \2G\ that finds a good 2-matching $M$ in the random graph $G=G_{n,cn}^{\d\geq 3}$ when $c\geq 15$. A 2-matching is a spanning subgraph of maximum degree two and $G$ is drawn uniformly from graphs with vertex set $[n]$, $cn$ edges and minimum degree at least three. By good we mean that $M$ has $O(\log n)$ components. We then use this 2-matching to build a Hamilton cycle in $O(n^{1.5+o(1)})$ time \whp.

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8Random Projections Through Multiple Optical Scattering: Approximating Kernels At The Speed Of Light

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Random projections have proven extremely useful in many signal processing and machine learning applications. However, they often require either to store a very large random matrix, or to use a different, structured matrix to reduce the computational and memory costs. Here, we overcome this difficulty by proposing an analog, optical device, that performs the random projections literally at the speed of light without having to store any matrix in memory. This is achieved using the physical properties of multiple coherent scattering of coherent light in random media. We use this device on a simple task of classification with a kernel machine, and we show that, on the MNIST database, the experimental results closely match the theoretical performance of the corresponding kernel. This framework can help make kernel methods practical for applications that have large training sets and/or require real-time prediction. We discuss possible extensions of the method in terms of a class of kernels, speed, memory consumption and different problems.

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9The Mathematics And Physics Of Disordered Media : Percolation, Random Walk, Modeling, And Simulation : Proceedings Of A Workshop Held At The IMA, University Of Minnesota, Minneapolis, February 13-19, 1983

Random projections have proven extremely useful in many signal processing and machine learning applications. However, they often require either to store a very large random matrix, or to use a different, structured matrix to reduce the computational and memory costs. Here, we overcome this difficulty by proposing an analog, optical device, that performs the random projections literally at the speed of light without having to store any matrix in memory. This is achieved using the physical properties of multiple coherent scattering of coherent light in random media. We use this device on a simple task of classification with a kernel machine, and we show that, on the MNIST database, the experimental results closely match the theoretical performance of the corresponding kernel. This framework can help make kernel methods practical for applications that have large training sets and/or require real-time prediction. We discuss possible extensions of the method in terms of a class of kernels, speed, memory consumption and different problems.

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10The Jukebox Romantics 15 Year Celebration Show & Party - W/ Other Rock Groups Including All My Friends, The Killakee House, From Parts Unknown, & Neck Scars - The Garage At Lucy’s - Pleasantville, NY - July 14, 2023 - Entire Sets From Each Group And Random Recap Videos

By

On Friday, July 14, 2023, the Jukebox Romantics Celebrated their 15th Anniversary since they first formed with a special anniversary show held at Lucy’s in Pleasantville, NY. Here you have the full sets of each band that performed at that show leading up to and including the special set by the Jukebox Romantics, along with all the other bands that performed before them, including All My Friends, The Killakee House, From Parts Unknown, and Neck Scars. All of which was recorded live there and that day which this event took place. Multiple different recap clips originally recorded, posted, and shared from numerous people who attended the event all over social media including Facebook, Instagram, and Snapchat are included here as well. Hope you enjoy everything you find here. And once again, Happy Anniversary/Birthday to the Jukebox Romantics!!! 🎊🎈🍾🎉🎂🥳

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  • Language: English

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11On The Probability Of Co-primality Of Two Natural Numbers Chosen At Random (Who Was The First To Pose And Solve This Problem?)

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The article attempts to demonstrate the rich history of one truly remarkable problem situated at the confluence of probability theory and theory of numbers - finding the probability of co-primality of two randomly selected natural numbers. The goal of the article is to reveal the genesis of the problem and understand the role of mathematicians of the past in solving this problem and using it as a background for advancing mathematical ideas. The article describes different approaches to the solution of the problem, reviews its various generalizations, examines similar problems, and offers diverse historical perspectives.

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12An Improved Random Matrix Model For The Chiral Phase Transition In QCD At Finite Chemical Potential

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We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their lattice equivalent. The simple physical requirement of a vanishing quark number density in the broken phase is fulfilled in the limit of a large number of timeslices. It is argued that the suppression of the partition function at nonzero chemical potential in the broken phase, seen in the usual RMM, is possibly present in lattice simulations and is simply a result of the discretization in time.

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13Random Matrix Triality At Nonzero Chemical Potential

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We introduce three universality classes of chiral random matrix ensembles with a nonzero chemical potential and real, complex or quaternion real matrix elements. In the thermodynamic limit we find that the distribution of the eigenvalues in the complex plane does not depend on the Dyson index, and is given by the solution proposed by Stephanov. For a finite number of degrees of freedom, $N$, we find an accumulation of eigenvalues on the imaginary axis for real matrices, whereas for quaternion real matrices we find a depletion of eigenvalues in this domain. This effect is of order $1/\sqrt N$. In particular for the real case the resolvent shows a discontinuity of order $1/\sqrt N$. These results are in agreement with lattice QCD simulations with staggered fermions and recent instanton liquid simulations both for two colors and nonzero chemical potential.

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14Joseph Davidson (Jaco) - This Is What Happens When Drug Addict Son Hunter Biden Decides To Give His Laptop In For Repairs At Some Random Laptop Repair Shop In The USA 🇺🇸 He Must Be The Dumbest Fuck On This Planet. The Biden Crime Family.

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This is what happens when drug addict son Hunter Biden decides to give his laptop in for repairs at some random laptop repair shop in the USA 🇺🇸 He must be the dumbest fuck on this planet. The Biden crime family. https://t.co/n2P7bbNHWe Source: https://twitter.com/jaco_davidson/status/1546546602013335552 Uploader: Joseph Davidson (Jaco)

“Joseph Davidson (Jaco) - This Is What Happens When Drug Addict Son Hunter Biden Decides To Give His Laptop In For Repairs At Some Random Laptop Repair Shop In The USA 🇺🇸 He Must Be The Dumbest Fuck On This Planet. The Biden Crime Family.” Metadata:

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15"This Might Be My Final Hour" The Man Stabbed At St. George Station Speaks Out About The Random Attack

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Kelly talks to Mario Greco, the 30-year-old who was stabbed at St. George Station-an attack which police believe was unprovoked.Learn more about your ad choices. Visit megaphone.fm/adchoices

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16Qwerpline Ep12 - Seemingly At Random

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Don't worry about the explosions—Richter and Derek sure aren't. Plus, a sideball update!

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17Multiscaling At Ferromagnetic-spin Glass Transition Point Of Random Energy Model And Complexity

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We calculate moments of free energy's finite size correction for the transition point between ferromagnetic and spin glass phases. We find, that those moments scale with the number of spins with different critical indices, characteristic for the multiscaling. This critical point corresponds to threshold of errorless coding for a gaussian noisy channel. We are give the definition of statistical complexity using this free energy approach.

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18T. Greg "Bouquet Of F*ckery" Doucette - 3️⃣8️⃣0️⃣ Los Angeles, CA: Cop Pulls A Gun On A Random Black Guy At The Park, Yells At Him At Gunpoint To Get On His Knees... ...then Gets Told "you've Got The Wrong Guy," Says "my Bad," And Leaves [@mrwillmartin]

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3️⃣8️⃣0️⃣ Los Angeles, CA: cop pulls a gun on a random black guy at the park, yells at him at gunpoint to get on his knees... ...then gets told "you've got the wrong guy," says "my bad," and leaves [@mrwillmartin] https://t.co/3KBb1iqFfJ Source: https://twitter.com/greg_doucette/status/1269669881974317066 Uploader: T. Greg "Bouquet of F*ckery" Doucette

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“T. Greg "Bouquet Of F*ckery" Doucette - 3️⃣8️⃣0️⃣ Los Angeles, CA: Cop Pulls A Gun On A Random Black Guy At The Park, Yells At Him At Gunpoint To Get On His Knees... ...then Gets Told "you've Got The Wrong Guy," Says "my Bad," And Leaves [@mrwillmartin]” Subjects and Themes:

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19LanceVideos - I Am Currently At Six Flags Over Texas. Some Random Guy Walked Up To Me And Said “FUCK YOU” And Knocked Off My MAGA Hat! @realDonaldTrump

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I am currently at Six Flags over Texas. Some random guy walked up to me and said “FUCK YOU” and knocked off my MAGA hat! @realDonaldTrump https://t.co/HYLQim6xFE Source: https://twitter.com/Lancevideos/status/1213920782071607297 Uploader: LanceVideos

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20Precise Algorithm To Generate Random Sequential Addition Of Hard Hyperspheres At Saturation

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Random sequential addition (RSA) time-dependent packing process, in which congruent hard hyperspheres are randomly and sequentially placed into a system without interparticle overlap, is a useful packing model to study disorder in high dimensions. Of particular interest is the infinite-time {\it saturation} limit in which the available space for another sphere tends to zero. However, the associated saturation density has been determined in all previous investigations by extrapolating the density results for near-saturation configurations to the saturation limit, which necessarily introduces numerical uncertainties. We have refined an algorithm devised by us [S. Torquato, O. Uche, and F.~H. Stillinger, Phys. Rev. E {\bf 74}, 061308 (2006)] to generate RSA packings of identical hyperspheres. The improved algorithm produce such packings that are guaranteed to contain no available space using finite computational time with heretofore unattained precision and across the widest range of dimensions ($2 \le d \le 8$). We have also calculated the packing and covering densities, pair correlation function $g_2(r)$ and structure factor $S(k)$ of the saturated RSA configurations. As the space dimension increases, we find that pair correlations markedly diminish, consistent with a recently proposed "decorrelation" principle, and the degree of "hyperuniformity" (suppression of infinite-wavelength density fluctuations) increases. We have also calculated the void exclusion probability in order to compute the so-called quantizer error of the RSA packings, which is related to the second moment of inertia of the average Voronoi cell. Our algorithm is easily generalizable to generate saturated RSA packings of nonspherical particles.

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21NOVEL: Shoukan At Random

NOVEL: Shoukan at Random

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22Random Acts Of Kindness: Burrito Making At Barret Middle

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Students and teachers at Barret Middle School joined RAK Louisville & partners to make more than 3,000 breakfast burritos for the Burrito Riders of Louisville to give out to homeless in the community.

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23Yes. Those Were #gunshots In The Background! Idk What Random Neighbor Is #shooting At! This Is #Pi Going From 0 To 1 Smoothly. Or 1 To 0.-MpMaznTZ2zj.mp4 Yes Those Were Gunshots In The Background Idk What Random Neighbor Is Shooting At This Is Pi Going From 0 To 1 Smoothly Or 1 To 0 MpMaznTZ2zj Mp4 Gunshots Shooting Pi

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Yes. Those were #gunshots in the background! Idk what random neighbor is #shooting at! This is #Pi Going from 0 to 1 smoothly. Or 1 to 0.-MpMaznTZ2zj.mp4 Yes Those were gunshots in the background Idk what random neighbor is shooting at This is Pi Going from 0 to 1 smoothly Or 1 to 0 MpMaznTZ2zj mp4 gunshots shooting Pi

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24A8 & 4CE & My Duos Vs A Random Squad At Fortnite

My team win. The new invite 0 is  Join A8 & 4CE contact me on Discord, my discord name is alienenergytakercreata if that doesn’t work use a84ce_ak47 sorry if I sent this before its cos I have a bad memory, join my clans & u may / may not gain psychic powers but u might have a better chance of gaining them. To join as a member subscribe, like, comment on my video, shorts, & click notifications bell. Join all of our servers, put at the start of your name the clan tag / tags & finally upload a good clip on YouTube / something to promote us & all that stuff. As we’re struggling to gain online support cos we used to have 100 / over 100 people in our main server. https://chat.whatsapp.com/DxsVCJwWGbRLZywhcwkrQ9 https://www.guilded.gg/i/kbGr3JPp . (Main https://discord.gg/UPMDvfh7Kf ) https://discord.gg/nSsE3JdKw8 https://discord.gg/CZQ5n2Prdz This link should never expire on my 6th group chat https://discord.gg/5dueN7BAru  https://ccurp.wordpress.com/2020/04/04/usurp/ https://forceclan123.wordpress.com/ https://www.youtube.com/channel/UCt5US9PDU7xfpxhvJT7JIrw https://www.youtube.com/@A8Davidtm997-fm7sb https://www.youtube.com/channel/UCxtFt0ES96JRJikGAxi4WdA 4th YouTube channel http://www.youtube.com/@A84CE-w8w https://www.youtube.com/@boberbucks . https://archive.org/details/@a8_psychic_2 https://archive.org/details/@a8_davidtm997_brand_account  Clips that need support  https://www.youtube.com/watch?v=JeKUQomwjOU&list=PLbzNJbk9WQbbQuvqMsOOonyvggHyNkz5D&pp=gAQBiAQB https://archive.org/details/proof-u-can-go-pro-on-a-normal-keyboard-on-fortnite-clip-without-music https://archive.org/details/you-tube-short-2nd-edit-from-all-my-keyboards-on-4-binds_202408 Support my shorts, click notifications bell for everything & my channels. Follow / subscribe to our sites / channels, support my clips, send a message of inviting 20 people to my clans & prove it with a few screenshots a media channel. -Support the votes https://discord.com/channels/962736943706284042/1312403956290420746/1312405543905656895 . https://discord.com/channels/962736943706284042/971179559670132746/1312936277602996254

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25StringZ Pulled At Random Pt. 2

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From The Official Meshuggah Forum comes the second collection of Meshuggah track reinterpretations, featuring several tracks from their latest full length, "ObZen". Each of these pieces have been warped out of their original shape into something fresh and unexpected, fusing the inspiration from the Swedish metal band themselves with the sonic footprint of this talented bunch of musicians.

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264 Kingdoms At War Get Random Traits And Random Disasters! World Box

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869,552 views  Feb 23, 2022 Today we are taking a concept we did last week, but perfecting it!  We will not be spinning the wheel for WHO gets picked now, everyone will take turns now.  In addition to that, the wheel is now full of half good things, and half bad things. 

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27Wiki - Random Nights At Randomness Wiki

Random Nights At Randomness Wiki dumped with WikiTeam tools.

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28ERIC EJ1136263: Stalled ERP At Random Textiles

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Andre Raymond, Executive Vice President of Sales and Marketing for Random Textiles Co. Inc. (RTC), stood in front of the podium to address his team of 70 sales consultants in Las Vegas, NV. The organization had increased market share and achieved record sales over the past three years; however, in the shadow of this success lurked an obstacle that threatened the financial stability of the company. The enterprise resource planning (ERP) software system RTC planned to use for future growth had not been implemented yet. The new ERP software was introduced in 1996 and RTC had planned to roll it out company wide by 2004. Ten years later, no companywide rollout had taken place. The consequences of this problem were beginning to surface in the form of customer complaints due to unexpected stock outs, inefficient business processes, and high employee turnover. This teaching case addresses learning objectives related to recognizing and mitigating problems with IT management in general and IT project management specifically, the importance of evaluating vendors, the importance of IT planning and estimating time and resources required. This case is intended for the undergraduate IT Strategy (IS2010.7) or Foundation (IS2010.1) courses. It could also be used in the IS Project Management (IS2010.4) or an MBA course focused on IT strategy or management.

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29Black Man On Scooter Shooting People At Random In Manhattan

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14/88

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30NASA Technical Reports Server (NTRS) 19660001039: Fatigue Of Rene 41 Under Constant-and Random- Amplitude Loading At Room And Elevated Temperatures

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Narrow band random and constant amplitude bending fatigue tests on Rene 41 specimens at room and elevated temperatures

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31Statistics At The Tip Of A Branching Random Walk And The Delay Of Traveling Waves

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We study the limiting distribution of particles at the frontier of a branching random walk. The positions of these particles can be viewed as the lowest energies of a directed polymer in a random medium in the mean-field case. We show that the average distances between these leading particles can be computed as the delay of a traveling wave evolving according to the Fisher-KPP front equation. These average distances exhibit universal behaviors, different from those of the probability cascades studied recently in the context of mean field spin-glasses.

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32Global Fluctuation Formulas And Universal Correlations For Random Matrices And Log-gas Systems At Infinite Density

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It is shown how the universal correlation function of Brezin and Zee, and Beenakker, for random matrix ensembles of Wigner-Dyson type with density support on a finite interval can be derived using a linear response argument and macroscopic electrostatics. The analogous formula for ensembles of unitary random matrices is derived using the same method, and the corresponding global fluctuation formula for the variance of a linear statistic is presented. The result for the universal correlation is checked using an exact result for the finite system two-point correlation in the Dyson circular ensemble at all even $\beta$.

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33Correlated Random Hopping Disorder In Graphene At High Magnetic Fields: Landau Level Broadening And Localization Properties

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We study the density of states and localization properties of the lowest Landau levels of graphene at high magnetic fields. We focus on the effects caused by correlated long-range hopping disorder, which, in exfoliated graphene, is induced by static ripples. We find that the broadening of the lowest Landau level shrinks exponentially with increasing disorder correlation length. At the same time, the broadening grows linearly with magnetic field and with disorder amplitudes. The lowest Landau level peak shows a robust splitting, whose origin we identify as the breaking of the sublattice (valley) degeneracy.

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34Karin Huffstutler And Horse, At Random; 1982

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Color photograph from the Photo Collection from Patricia Williams MacVeagh. This photograph features Karin Huffstutler and horse, At Random. Photo taken April 10, 1982 at the Difficult Run Event at Frying Pan Park, Herndon, Virginia. The Photo Collection of Patricia Williams MacVeagh was donated to the  National Sporting Library & Museum . File #: 000135X-00028

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35Random At School

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idk

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36Efficiently Estimating The Error Distribution In Nonparametric Regression With Responses Missing At Random

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This article considers nonparametric regression models with multivariate covariates and with responses missing at random. We estimate the regression function with a local polynomial smoother. The residual-based empirical distribution function that only uses complete cases, i.e. residuals that can actually be constructed from the data, is shown to be efficient in the sense of H\'ajek and Le Cam. In the proofs we derive, more generally, the efficient influence function for estimating an arbitrary linear functional of the error distribution; this covers the distribution function as a special case. We also show that the complete case residual-based empirical distribution function admits a functional central limit theorem. The article concludes with a small simulation study investigating the performance of the complete case residual-based empirical distribution function.

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37Invariance Principles For Local Times At The Supremum Of Random Walks And Lévy Processes

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We prove that when a sequence of L\'evy processes $X^{(n)}$ or a normed sequence of random walks $S^{(n)}$ converges a.s. on the Skorokhod space toward a L\'evy process $X$, the sequence $L^{(n)}$ of local times at the supremum of $X^{(n)}$ converges uniformly on compact sets in probability toward the local time at the supremum of $X$. A consequence of this result is that the sequence of (quadrivariate) ladder processes (both ascending and descending) converges jointly in law towards the ladder processes of $X$. As an application, we show that in general, the sequence $S^{(n)}$ conditioned to stay positive converges weakly, jointly with its local time at the future minimum, towards the corresponding functional for the limiting process $X$. From this we deduce an invariance principle for the meander which extends known results for the case of attraction to a stable law.

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38Random Shots At Past Follies Of Reclamation

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We prove that when a sequence of L\'evy processes $X^{(n)}$ or a normed sequence of random walks $S^{(n)}$ converges a.s. on the Skorokhod space toward a L\'evy process $X$, the sequence $L^{(n)}$ of local times at the supremum of $X^{(n)}$ converges uniformly on compact sets in probability toward the local time at the supremum of $X$. A consequence of this result is that the sequence of (quadrivariate) ladder processes (both ascending and descending) converges jointly in law towards the ladder processes of $X$. As an application, we show that in general, the sequence $S^{(n)}$ conditioned to stay positive converges weakly, jointly with its local time at the future minimum, towards the corresponding functional for the limiting process $X$. From this we deduce an invariance principle for the meander which extends known results for the case of attraction to a stable law.

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39Random House Of Soul Live At TT The Bear's Place On 1996-11-03

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01) Take Your Place 02) Kissing My Love* 03) Dam Nation 04) Run for Cover 05) Bring it Back 06) Cavity 07) Suffer 08) free stuff giveaway 09) Necessary Evil 10) Concentrate% 11) Dr Spin#

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40Attack At Random Podcasts

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Attack At Random Podcasts

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41An Investigation Of Digital Spectral Analysis Programs And Computer Methods Utilized At The Naval Postgraduate School In The Analysis Of High Frequency Random Signals.

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42Analysis Of Mortality Models With Covariates Missing At Random

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Objective: Demographic indicators such as mortality rates play a very important role in health, financial and pension policies. Therefore, the accuracy of mathematical models in estimating mortality rates is an important challenge. One of the tasks of actuaries is to construct a suitable mortality model for the available data so that these mortality models can calculate mortality for different ages and longevity, as well as the different information available to individuals on retirement plans. Missing data is a problem that may be faced by actuaries when they are analyzing the real data. Missing data can occur for a variety of reasons, such as unanswered or censored. The presence of missing data can pose a threat to the accuracy of the data analysis results. The purpose of this study is to model the mortality in a retirement plan. In this regard, it is assumed that data are available at the individual level, including date of birth, date of joining the retirement plan, date of completion of the observation, and reason for discontinuation (usually death or right censoring). Information on covariate variables such as gender, benefits or size of pension, demographic geography or health status will also be available. More precisely, this study aims to model the mortality in a retirement plan based on missing data and access to information from various covariate variables, to carefully analyze the structure of different models, to estimate and finally to investigate the financial implications for different mortality experiences containing missing data. Methodology: In this article, we deal with a pension plan in which each member's future life expectancy is modeled using parametric survival models incorporating covariates which may be missing for some individuals. Likelihood-based techniques estimate parameters, and in this regard, an algorithm is proposed that can perform the estimation task in the best possible way. One of the necessary features to check the adequacy of the statistical model, especially when the data contains missing values, is identifiable. If not identifiable, it can be claimed that the statistical model is not a full rank and is not a suitable model for the data. It is worth noting that the Jacobin matrix needs to be calculated to verify identifiability. As mentioned, in the analysis of mortality models with the presence of missing values, the maximum likelihood method can be used. In such cases, an estimation error may often occur when fitting the model, which can be reduced by modeling from a larger population. For this reason, hybrid retirement plans that remain homogeneous are often used. This proposed method can also be useful for calculating financial quantities based on pension factors. In fact, in this proposed method, different data sets with equal or similar death experiences are combined, sample size increases and risk of parameter decreases, which also leads to a reduction in capital requirement. Socio-economic variables such as the level of benefits and geographical characteristics of the population are also considered more if interest rates are low.   Finding: First, complete data are analyzed and modeled for observations of members of a retirement plan, which includes survival time and ancillary variables for each individual. Estimation of parameters is obtained using the maximum likelihood method. however, when the data is missing, it is not easy to estimate the parameters with the maximum likelihood method. In this case, the model parameters are estimated by the maximum likelihood method which are calculated using the proposed algorithm; then, statistical indicators such as identifiability of parameters are calculated to evaluate the performance of the proposed structure and algorithm. Furthermore, the financial effects, in particular the annuity factors, and the mis-estimation risk capital requirements for the mortality experience which includes the maximum covariates variables are calculated and compared with the individual segments when the data are missing. In addition, it can be seen that when the two statistical variables are not observed together, the model is not identifiable according to the data.   Conclusion: It was found that if the data are missing, the statistical model is not always identifiable using the maximum likelihood, and data combination from two or more experiments can avoid identifiable barriers. The methods proposed in this paper can be useful for actuaries when calculating financial committees based on annuity factors. These methods may combine different datasets with equal or similar mortality experiences, increase sample size, and reduce parameter risk, thus, reducing capital requirements. Socio-economic variables such as the level of benefits and geographical characteristics of the population are given more attention if the interest rate is low.

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43First Order Transition For The Branching Random Walk At The Critical Parameter

Objective: Demographic indicators such as mortality rates play a very important role in health, financial and pension policies. Therefore, the accuracy of mathematical models in estimating mortality rates is an important challenge. One of the tasks of actuaries is to construct a suitable mortality model for the available data so that these mortality models can calculate mortality for different ages and longevity, as well as the different information available to individuals on retirement plans. Missing data is a problem that may be faced by actuaries when they are analyzing the real data. Missing data can occur for a variety of reasons, such as unanswered or censored. The presence of missing data can pose a threat to the accuracy of the data analysis results. The purpose of this study is to model the mortality in a retirement plan. In this regard, it is assumed that data are available at the individual level, including date of birth, date of joining the retirement plan, date of completion of the observation, and reason for discontinuation (usually death or right censoring). Information on covariate variables such as gender, benefits or size of pension, demographic geography or health status will also be available. More precisely, this study aims to model the mortality in a retirement plan based on missing data and access to information from various covariate variables, to carefully analyze the structure of different models, to estimate and finally to investigate the financial implications for different mortality experiences containing missing data. Methodology: In this article, we deal with a pension plan in which each member's future life expectancy is modeled using parametric survival models incorporating covariates which may be missing for some individuals. Likelihood-based techniques estimate parameters, and in this regard, an algorithm is proposed that can perform the estimation task in the best possible way. One of the necessary features to check the adequacy of the statistical model, especially when the data contains missing values, is identifiable. If not identifiable, it can be claimed that the statistical model is not a full rank and is not a suitable model for the data. It is worth noting that the Jacobin matrix needs to be calculated to verify identifiability. As mentioned, in the analysis of mortality models with the presence of missing values, the maximum likelihood method can be used. In such cases, an estimation error may often occur when fitting the model, which can be reduced by modeling from a larger population. For this reason, hybrid retirement plans that remain homogeneous are often used. This proposed method can also be useful for calculating financial quantities based on pension factors. In fact, in this proposed method, different data sets with equal or similar death experiences are combined, sample size increases and risk of parameter decreases, which also leads to a reduction in capital requirement. Socio-economic variables such as the level of benefits and geographical characteristics of the population are also considered more if interest rates are low.   Finding: First, complete data are analyzed and modeled for observations of members of a retirement plan, which includes survival time and ancillary variables for each individual. Estimation of parameters is obtained using the maximum likelihood method. however, when the data is missing, it is not easy to estimate the parameters with the maximum likelihood method. In this case, the model parameters are estimated by the maximum likelihood method which are calculated using the proposed algorithm; then, statistical indicators such as identifiability of parameters are calculated to evaluate the performance of the proposed structure and algorithm. Furthermore, the financial effects, in particular the annuity factors, and the mis-estimation risk capital requirements for the mortality experience which includes the maximum covariates variables are calculated and compared with the individual segments when the data are missing. In addition, it can be seen that when the two statistical variables are not observed together, the model is not identifiable according to the data.   Conclusion: It was found that if the data are missing, the statistical model is not always identifiable using the maximum likelihood, and data combination from two or more experiments can avoid identifiable barriers. The methods proposed in this paper can be useful for actuaries when calculating financial committees based on annuity factors. These methods may combine different datasets with equal or similar mortality experiences, increase sample size, and reduce parameter risk, thus, reducing capital requirements. Socio-economic variables such as the level of benefits and geographical characteristics of the population are given more attention if the interest rate is low.

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44Cutting Edges At Random In Large Recursive Trees

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We comment on old and new results related to the destruction of a random recursive tree (RRT), in which its edges are cut one after the other in a uniform random order. In particular, we study the number of steps needed to isolate or disconnect certain distinguished vertices when the size of the tree tends to infinity. New probabilistic explanations are given in terms of the so-called cut-tree and the tree of component sizes, which both encode different aspects of the destruction process. Finally, we establish the connection to Bernoulli bond percolation on large RRT's and present recent results on the cluster sizes in the supercritical regime.

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45Random Energy Model At Complex Temperatures

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The complete phase diagram of Random Energy Model (REM) is obtained for complex temperatures using the method proposed by Derrida. We find the density of zeroes for statistical sum. Then the method is applied to Generalized Random Energy Model (GREM). This allows us to propose new analytical method for investigating zeroes of statistical sum for finite-dimensional systems.

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46A Random Walk Model Of Chain Polymer Adsorption At A Surface. II. Effect Of Correlation Between Neighboring Steps

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Journal of Research of the National Bureau of Standards

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47SDR021 - Ehafh - Anything About Nothing In Particular As Percieved At Random

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SDR021 - Ehafh - Anything About Nothing in Particular as Percieved at Random

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48Random Facts About Mersenne Twisters | AT&T ThreatTraq

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https://github.com/tliston/mt19937/blob/main/mt19937.py Random number generators may not be so random. Stan Nurilov, Michael Klepper and Jim Clausing of the AT&T Chief Security Office discuss the week's top cybersecurity news, and share news on the current trends of malware, spam, and internet anomalies observed on the AT&T Network. Originally recorded on January 5, 2021 AT&T ThreatTraq welcomes your e-mail questions and feedback at [email protected]

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49At The Diner - Return Of The Random Question Generator

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Mike, Steve and MC bring back the Random Question Generator for some much needed distraction from the coronavirus quarantines.

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50Random Music At The Merry Muse

If you know the band, please let me know.

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