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OSA Publishing > Optics Express > Volume 15 > Issue 12 > Page 7458
Measurement of transient nonlinear refractive index in gases using xenon supercontinuum single-shot spectral interferometry
Y.-H. Chen, S. Varma, I. Alexeev, and H. M. Milchberg
Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742 yhchen@umd.edu, milch@ipst.umd.edu
Y Chen
S Varma
I Alexeev
H Milchberg
Y.-H. Chen, S. Varma, I. Alexeev, and H. M. Milchberg, "Measurement of transient nonlinear refractive index in gases using xenon supercontinuum single-shot spectral interferometry," Opt. Express 15, 7458-7467 (2007)
Ultrafast Optics
Phase measurement (120.5050)
Kerr effect (190.3270)
Photoionization (260.5210)
Femtosecond phenomena (320.2250)
Ultrafast nonlinear optics (320.7110)
Original Manuscript: April 20, 2007
Revised Manuscript: May 25, 2007
Manuscript Accepted: May 27, 2007
A highly stable version of spectral interferometry is demonstrated, allowing single shot measurement of ultrafast high field processes using modest energy lasers, with pump and probe pulses totaling less than 1 mJ. The technique makes possible reconstruction of ultrafast refractive index transients with one-dimensional spatial resolution, limited only by the bandwidth of the supercontinuum pulse (~100 nm) and instrument resolution. The ultrafast nonlinear Kerr effect in glass, and in Ar, N2, and N2O gases is measured, along with plasma generation in Ar. The inertial contribution to the nonlinear index from N2 and N2O molecular rotation is also observed.
Simplified chirp characterization in single-shot supercontinuum spectral interferometry
DinhDuy Tran Vu, Dogeun Jang, and Ki-Yong Kim
Single-shot measurement of laser-induced double step ionization of helium
K. Y. Kim, I. Alexeev, and H. M. Milchberg
Opt. Express 10(26) 1563-1572 (2002)
Optimizing the time resolution of supercontinuum spectral interferometry
J. K. Wahlstrand, S. Zahedpour, and H. M. Milchberg
J. Opt. Soc. Am. B 33(7) 1476-1481 (2016)
Single-shot chirped-pulse spectral interferometry used to measure the femtosecond ionization dynamics of air
C. Y. Chien, B. La Fontaine, A. Desparois, Z. Jiang, T. W. Johnston, J. C. Kieffer, H. Pépin, F. Vidal, and H. P. Mercure
Opt. Lett. 25(8) 578-580 (2000)
Single-shot, space- and time-resolved measurement of rotational wavepacket revivals in H2, D2, N2, O2, and N2O
Y.-H. Chen, S. Varma, A. York, and H. M. Milchberg
Cl. Froehly, A. Lacourt, and J. Ch. Viénot, "Time impulse response and time frequency response of optical pupils.: Experimental confirmations and applications," Nouvelle Revue d'Optique 4, 183–196 (1973).
E. Tokunaga, A. Terasaki, and T. Kobayashi, "Frequency-domain interferometer for femtosecond time-resolved phase spectroscopy," Opt. Lett. 17, 1131–1133 (1992).
F. Reynaud, F. Salin, and A. Barthelemy, "Measurement of phase shifts introduced by nonlinear optical phenomena on subpicosecond pulses," Opt. Lett. 14, 275–277 (1989).
C. X. Yu, M. Margalit, E. P. Ippen, and H. A. Haus, "Direct measurement of self-phase shift due to fiber nonlinearity," Opt. Lett. 23, 679–681 (1998).
J. P. Geindre, P. Audebert, A. Rousse, F. Fallies, J. C. Gauthier, A. Mysyrowicz, A. Dos Santos, G. Hamo-niaux, and A. Antonetti, "Frequency-domain interferometer for measuring the phase and amplitude of a femtosecond pulse probing a laser-produced plasma," Opt. Lett. 19, 1997–1999 (1994).
P. Salières, L. Le Dèroff, T. Auguste, P. Monot, P. d'Oliveira, D. Campo, J.-F. Hergott, H. Merdji, and B. Carrè, "Frequency-Domain Interferometry in the XUV with High-Order Harmonics," Phys. Rev. Lett. 83, 5483–5486 (1999).
R. Evans, A. D. Badger, F. Falliès, M. Mahdieh, T. A. Hall, P. Audebert, J.-P. Geindre, J.-C. Gauthier, A. Mysy-rowicz, G. Grillon, and A. Antonetti, "Time- and Space-Resolved Optical Probing of Femtosecond-Laser-Driven Shock Waves in Aluminum," Phys. Rev. Lett. 77, 3359–3362 (1996).
K. Y. Kim, I. Alexeev, E. Parra, and H. M. Milchberg, "Time-Resolved Explosion of Intense-Laser-Heated Clusters," Phys. Rev. Lett. 90, 023401 (2003); I. Alexeev, T. M. Antonsen, K. Y. Kim, and H. M. Milchberg, "Self-Focusing of Intense Laser Pulses in a Clustered Gas," Phys. Rev. Lett. 90, 103402 (2003).
J. R. Marquès, J. P. Geindre, F. Amiranoff, P. Audebert, J. C. Gauthier, A. Antonetti, and G. Grillon, "Temporal and Spatial Measurements of the Electron Density Perturbation Produced in the Wake of an Ultrashort Laser Pulse," Phys. Rev. Lett. 76, 3566–3569 (1996).
C. W. Siders, S. P. Le Blanc, D. Fisher, T. Tajima, M. C. Downer, A. Babine, A. Stepanov, and A. Sergeev, "Laser Wakefield Excitation and Measurement by Femtosecond Longitudinal Interferometry," Phys. Rev. Lett. 76, 3570–3573 (1996).
J. R. Marquès, F. Dorchies, F. Amiranoff, P. Audebert, J. C. Gauthier, J. P. Geindre, A. Antonetti, T. M. Antonsen, P. Chessa, and P. Mora, "Laser wakefield: Experimental study of nonlinear radial electron oscillations," Phys. Plasmas 5, 1162–1177 (1998).
A. Benuzzi-Mounaix, M. Koenig, J. M. Boudenne, T. A. Hall, D. Batani, F. Scianitti, A. Masini, and D. Di Santo, "Chirped pulse reflectivity and frequency domain interferometry in laser driven shock experiments," Phys. Rev. E 60, R2488–R2491 (1999).
C. Y. Chien, B. La Fontaine, A. Desparois, Z. Jiang, T. W. Johnston, J. C. Kieffer, H. Pèpin, F. Vidal, and H. P. Mercure, "Single-shot chirped-pulse spectral interferometry used to measure the femtosecond ionization dynamics of air," Opt. Lett. 25, 578–580 (2000).
J. -P. Geindre, P. Audebert, S. Rebibo, and J. -C. Gauthier, "Single-shot spectral interferometry with chirped pulses," Opt. Lett. 26, 1612–1614 (2001).
S. P. Le Blanc, E. W. Gaul, N. H. Matlis, A. Rundquist, and M. C. Downer, "Single-shot measurement of temporal phase shifts by frequency-domain holography," Opt. Lett. 25, 764–766 (2000).
K. Y. Kim, I. Alexeev, and H. M. Milchberg, "Single-shot supercontinuum spectral interferometry," Appl. Phys. Lett. 81, 4124–4126 (2002).
K. Kim, I. Alexeev, and H. Milchberg, "Single-shot measurement of laser-induced double step ionization of helium," Opt. Express 10, 1563–1572 (2002).
K. Y. Kim, I. Alexeev, V. Kumarappan, E. Parra, T. Antonsen, T. Taguchi, A. Gupta, and H. M. Milchberg, "Gases of exploding laser-heated cluster nanoplasmas as a nonlinear optical medium," Phys. Plasmas 11, 2882–2889 (2004).
K. Y. Kim, I. Alexeev, and H. M. Milchberg, "Measurement of ultrafast dynamics in the interaction of intense laser pulses with gases, clusters, and plasma waveguides," Phys. Plasmas 12, 056712 (2005).
N. H. Matlis, S. Reed, S. S. Bulanov, V. Chvykov, G. Kalintchenko, T. Matsuoka, P. Rousseau, V. Yanovsky, A. Maksimchuk, S. Kalmykov, G. Shvets, and M. C. Downer, "Snapshots of laser wakefields," Nature Phys. 2, 749–753 (2006).
J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air silica microstructure optical fibers with anomalous dispersion at 800nm," Opt. Lett. 25, 25–27 (2000).
J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135–1184 (2006).
P. B. Corkum, C. Rolland, and T. Srinivasan-Rao, "Supercontinuum Generation in Gases," Phys. Rev. Lett. 57, 2268–2271 (1986).
P. O'Shea, M. Kimmel, X. Gu, and R. Trebino, "Highly simplified device for ultrashort-pulse measurement," Opt. Lett. 26, 932–934 (2001).
P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge University Press, 1990).
S. Augst, A. Talebpour, S. L. Chin, Y. Beaudoin, and M. Chaker, "Nonsequential triple ionization of argon atoms in a high-intensity laser field," Phys. Rev. A 52, R917–R919 (1995); S. Geltman, "Multiple ionization of argon atoms by intense laser pulses," Phys. Rev. A 54, 2489–2491 (1996).
D. Milam and M. J. Weber, "Measurement of nonlinear refractive-index coefficients using time-resolved inter-ferometry: Application to optical materials for high-power neodymium lasers," J. Appl. Phys. 47, 2497–2501 (1976).
R. Adair, L. L. Chase, and S. A. Payne, "Nonlinear refractive-index measurements of glasses using three-wave frequency mixing," J. Opt. Soc. Am. B 4, 875–881 (1987).
M. Falconieri, E. Palange, and H. L. Fragnito, "Achievement of λ/4000 phase distortion sensitivity in the measurement of optical nonlinearities by using a modulated Z-scan technique," J. Opt. A: Pure Appl. Opt. 4, 404–407 (2002).
H. J. Lehmeier, W. Leupacher, and A. Penzkofer, "Nonresonant third order hyperpolarizability of rare gases and N2 determined by third harmonic generation," Opt. Commun. 56, 67–72 (1985).
B. Friedrich and D. Herschbach, "Alignment and trapping of Molecules in Intense Laser Fields," Phys. Rev. Lett. 74, 4623–4626 (1995).
J.-F. Ripoche, G. Grillon, B. Prade, M. Franco, E. Nibbering, R. Lange, and A. Mysyrowicz, "Determination of the time dependence of n2 in air," Opt. Commun. 135, 310–314 (1997).
W. Demtrüder, Molecular Physics (Wiley-VCH, Weinheim, 2005).
R. A. Toth, "Line Positions and Strengths of N2O between 3515 and 7800 cm-1," J. Mol. Spectrosc. 197, 158–187 (1999).
P. W. Dooley, I. V. Litvinyuk, Kevin F. Lee, D. M. Rayner, M. Spanner, D. M. Villeneuve, and P. B. Corkum, "Direct imaging of rotational wave-packet dynamics of diatomic molecules," Phys. Rev. A 68, 023406 (2003).
Adair, R.
Alexeev, I.
Amiranoff, F.
Antonetti, A.
Antonsen, T.
Antonsen, T. M.
Audebert, P.
Augst, S.
Auguste, T.
Babine, A.
Badger, A. D.
Barthelemy, A.
Batani, D.
Beaudoin, Y.
Benuzzi-Mounaix, A.
Boudenne, J. M.
Bulanov, S. S.
Butcher, P. N.
Campo, D.
Carrè, B.
Chaker, M.
Chase, L. L.
Chessa, P.
Chien, C. Y.
Chin, S. L.
Chvykov, V.
Coen, S.
Corkum, P. B.
Cotter, D.
d'Oliveira, P.
Demtrüder, W.
Desparois, A.
Di Santo, D.
Dooley, P. W.
Dorchies, F.
Dos Santos, A.
Downer, M. C.
Dudley, J. M.
Evans, R.
Falconieri, M.
Fallies, F.
Falliès, F.
Fisher, D.
Fragnito, H. L.
Franco, M.
Friedrich, B.
Froehly, Cl.
Gaul, E. W.
Gauthier, J. C.
Gauthier, J. -C.
Gauthier, J.-C.
Geindre, J. P.
Geindre, J. -P.
Geindre, J.-P.
Geltman, S.
Genty, G.
Grillon, G.
Gu, X.
Hall, T. A.
Hamo-niaux, G.
Haus, H. A.
Hergott, J.-F.
Herschbach, D.
Ippen, E. P.
Jiang, Z.
Johnston, T. W.
Kalintchenko, G.
Kalmykov, S.
Kieffer, J. C.
Kim, K.
Kim, K. Y.
Kimmel, M.
Kobayashi, T.
Koenig, M.
Kumarappan, V.
La Fontaine, B.
Lacourt, A.
Lange, R.
Le Blanc, S. P.
Le Dèroff, L.
Lee, Kevin F.
Lehmeier, H. J.
Leupacher, W.
Litvinyuk, I. V.
Mahdieh, M.
Maksimchuk, A.
Margalit, M.
Marquès, J. R.
Masini, A.
Matlis, N. H.
Matsuoka, T.
Mercure, H. P.
Merdji, H.
Milam, D.
Milchberg, H.
Milchberg, H. M.
Monot, P.
Mora, P.
Mysyrowicz, A.
Mysy-rowicz, A.
Nibbering, E.
O'Shea, P.
Palange, E.
Parra, E.
Payne, S. A.
Penzkofer, A.
Pèpin, H.
Prade, B.
Ranka, J. K.
Rayner, D. M.
Rebibo, S.
Reed, S.
Reynaud, F.
Ripoche, J.-F.
Rolland, C.
Rousse, A.
Rousseau, P.
Rundquist, A.
Salières, P.
Salin, F.
Scianitti, F.
Sergeev, A.
Shvets, G.
Siders, C. W.
Spanner, M.
Srinivasan-Rao, T.
Stentz, A. J.
Stepanov, A.
Taguchi, T.
Tajima, T.
Talebpour, A.
Terasaki, A.
Tokunaga, E.
Toth, R. A.
Trebino, R.
Vidal, F.
Viénot, J. Ch.
Villeneuve, D. M.
Weber, M. J.
Windeler, R. S.
Yanovsky, V.
Yu, C. X.
J. Appl. Phys. (1)
J. Mol. Spectrosc. (1)
J. Opt. A: Pure Appl. Opt. (1)
J. Opt. Soc. Am. B (1)
Nature Phys. (1)
Nouvelle Revue d'Optique (1)
Phys. Plasmas (3)
Phys. Rev. E (1)
Phys. Rev. Lett. (7)
Rev. Mod. Phys. (1)
Fig. 1. Experimental setup. BS1: beamsplitter, XGC: xenon gas cell, MI: Michelson interferometer, P: 500 μm pinhole, SF4: 2.5-cm thick SF4 glass as dispersive material, HWP: half waveplate, M: zero degree Ti:Sapphire dielectric mirror, BS2: beamsplitter for combining pump and SC pulses. The pump beam energy can be tuned by another set of half waveplate and polarizer, which is not shown in this figure.
Fig. 2. Spectral interferograms showing pump-induced, wavelength-dependent fringe shift in argon at (a) 7.8 atm and Ipeak = 4.1×1013 W/cm2 and (b) 4.4 atm and Ipeak = 7.7×1013 W/cm2, where plasma is observed as a long tail extending to the short wavelength edge on the interferogram. Note that the SC probe and reference pulses are positively chirped, thus a shorter wavelength on the interferogram means a later time. The 1D space and time variations of the effective argon nonlinear refractive index change Δn extracted from (a) and (b) are shown in (c) and (d), respectively. The positive index shift is due to instantaneous electronic nonlinearity, which follows the pump pulse temporal profile. The plasma-induced negative index shift is seen in (d) following the pump pulse. The baseline noise in extracted Δn(x,t) plots is determined by the CCD camera pixel size, which sets the minimum resolvable fringe shift in (a) and (b).
Fig. 3. 250 shot average (solid line) and a single shot trace (circles) of refractive index transient Δn(x = 0,t) (and extracted phase ΔΦ(x = 0,t)) along the beam axis for 5.1 atm nitrogen. The results agree well, confirming good shot-to-shot stability. The pump energy was 60 μJ, corresponding to Ipeak = 4.1×1013 W/cm2, below the threshold for nitrogen ionization.
Fig. 4. (a) A sample single-shot spectral interferogram taken in 5.1 atm N2O with 1.4×1013 W/cm2 pump intensity. (b) Averaged spectral interferogram image over 300 laser shots, taken in the same condition as (a). The close resemblance between single-shot and multi-shot-averaged spectra indicates good stability in SC generation.
Fig. 5. Induced nonlinear refractive index shift Δn(x,t) from a 200 μm-thick BK7 window with 5 μJ pump pulse energy and 3.4×1012 W/cm2 peak intensity. The inset is the probe phase shift ΔΦ(x = 0,t) with corresponding Δn(x = 0,t) (solid line). The temporal phase evolution profile from 7.8 atm argon (Fig. 2(a)), normalized to the same peak phase value, is shown here for comparison (circles).
Fig. 6. Measured nonlinear refractive index shift Δn(x,t) in Ar, N2, and N2O. For the linear molecules N2 and N2O, part of the nonlinearity is contributed by the inertia of molecular rotation, which causes a delayed response which does not follow the pump pulse shape.


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Top 10 crypto influencers to look out for in 2020. Super powered!
Revealing insights about the most influential people in the crypto currency domain.
Photo by Stephen Walker on Unsplash
The decentralized digital economy is creating an amazing new asset class with many virtual currencies like Bitcoin, Ethereum and other top-ranked crypto asset coins. And the next big frontier on the forefront of the cryptocurrency era to cross is user awareness and adoption.
The entire cryptocurrency ecosystem is a massive hub of content related to blockchains, developments, projects, talks, dApps and much more. A sector this big has enormous content that is distributed, redistributed, liked and shared across the internet and served to users of the same niche.
People all over the globe are waking up to realize the immense potential of these novel currencies. The nascent blockchain technology has shifted the e-financial landscape in more ways than one, and the emerging 'programmable money' wave appears to be inevitable. When you combine these two futuristic forces of forward-looking phases of finance, it's fun to start figuring out who is responsible, credible and newsworthy in the bitcoin-led economy.
Let us introduce you to some of the most prominent influencers
1. Changpeng Zhao
Source: Fortune.com
Changpeng Zhao is most popularly referred to as CZ in the crypto space. He is the founder and CEO of Binance, the leading and the largest exchange in the world by trading volume. Prior to Binance, he served as the CTO of OKCoin and also worked as a developer for Blockchain.info, one of the earliest wallets in the cryptocurrency fraternity.
How did he get into crypto?
After concluding his studies, he began developing software for trade orders on the Tokyo Stock Exchange. He also developed Futures trading software for the Bloomberg trade book after TSE. Fast forward a few years, he found himself working for blockchain.info and later a CTO with OKCoin. CZ left OKCoin in 2017 and started working on a cryptocurrency exchange; Binance. He was placed third on the list of Forbes' "The Richest People In Cryptocurrency" In February 2018.
Notable Quotes- "We think that crypto has a very strong use case in less developed countries. There's more money to be made in a more developed country, but we want to distribute crypto to the rest of the world."
Social profiles- Twitter
2. Brian Armstrong
Brian Amstrong is the founding CEO of Coinbase, one of the first crypto exchanges in the world. Brian Armstrong was born on January 25, 1983, and grew up in San Jose, California. He is also known as the bitcoin's guardian angel for his fervent advocacy for cryptocurrencies.
He worked with Deloitte and Touche as an Enterprise Risk Management Consultant after majoring in computer science and economics from The Rice University, Houston, Texas. He got introduced to bitcoin in December 2010 and laid the foundation of Coinbase in June 2012 after realizing there weren't many crypto startups back then.
Notable Quotes- "By lowering the barrier to creating new digital currency applications, we will see an explosion in the number of ideas tried."
3. Vitalik Buterin
Source: Business Insider
Perhaps the most renowned person in the cryptocurrency realm. Vitalik is the co-founder and developer of the world's second-largest cryptocurrency Ethereum. He has also founded Bitcoin magazine which is quite influential and active in news and updates related to cryptocurrency.
He is among the world's most successful, youngest and famous people. His father was a computer scientist who introduced him to bitcoin at the age of 17. Two years later he founded the 'Ethereum Virtual Machine' or the EVM, a brilliant use case of smart contracts working on top of the blockchain.
Notable Quotes- "Whereas most technologies tend to automate workers on the periphery doing menial tasks, blockchains automate away the centre. Instead of putting the taxi driver out of a job, blockchain puts Uber out of a job and lets the taxi drivers work with the customer directly."
4. Tyler and Cameron Winklevoss
Cameron and Tyler Winklevoss were born on August 21, 1981. They are identical brothers and are known as the Winklevoss twins. Both the twins are early bitcoin investors, entrepreneurs and have a great influence on the crypto community.
How did they get into crypto?
Tyler and his brother Cameron founded Winklevoss Capital Management In 2012, a firm that invests in multiple asset classes and puts an emphasis on providing seed funding to early-stage startups. Being venture capitalists these twins led a seed funding round for a bitcoin payment processor BitInstant in April 2013 after which they claimed they held 1% of the entire bitcoins at that time. They still have more than $1bn of bitcoins in valuation.
Notable Quotes- "People have to start realizing that money is just a fiction, an idea."
"With great ideas come great changes. Bitcoin's that."
Social Profiles- Tyler Cameroon
5. Tim Draper
Source: CNBC
Timothy Cook Draper is a seasoned American venture capitalist, and founder of Draper University, Draper Venture Network, Draper Fisher Jurvetson, Draper Goren Holm and Draper Associates. He helps entrepreneurs through funding, education and reform through added support and drives their vision to success.
"Tim purchased his first set of bitcoins after being persuaded by Peter Vincennes, CEO at Coinlab. Peter introduced Draper to bitcoin after which he purchased $250,000 worth of BTC on Mt. Gox."
Notable Quotes- "Bitcoin frees people from trying to operate in a modern market economy."
"I grew up in Silicon Valley when it was a bunch of apricot groves, and now it's this centre of incredible activity. So I have this sense of what technology has done for this region, and I want to spread it to the world."
6. Mike Novogratz
Born on November 26, 1964, Michael Edward Novogratz is an ex-fund manager and he has also been ranked a billionaire by Forbes in 2007 and 2008 consecutively. He was priorly a partner to Goldman Sachs and remained at the position for 11 years and has flown helicopters in the US army as well.
"Novogratz is the CEO of Galaxy Investment Partners, a cryptocurrency investment firm through which he says he made $250mn form crypto."
Notable Quotes- "The debate is over, Bitcoin won. It is now seen by people all around the world as a legitimate place to store their value."
7. Ameer Rosic
Source: Google images
Ameer Rosic is a serial entrepreneur, investor, blockchain evangelist and marketing professional. He is an avid speaker and has spoken about blockchain and cryptocurrencies in various universities such as Mars and Western. He is a prominent blogger and educator in the blockchain field and the founder of crypto education platform Blockgeeks
He got into crypto early in the last decade and when he found out that the community is lacking in educational content related to the blockchain and cryptocurrencies he built blockGeeks to impart relevant education to beginners in the space.
Notable Quotes- That's what BlockGeeks is about. I live in Toronto and we have a really robust Blockchain community in Toronto. We have a huge Bitcoin crew over here, we have Hyperledger, and I am lucky enough to know Vitalik (Buterin)'s father Dmitry who is my business partner at BlockGeeks.
8. Ben Horowitz
Source: Product Hunt
Ben Horowitz is an avid crypto investor, analyst, co founder and general partner at the venture capital firm Andreessen Horowitz aka a16z. He has vast experience in both software development and management that has helped him manage a firm this big with his years of expertise in crypto currency and development.
"In 2009, Horowitz and Andreessen launched Andreessen Horowitz to invest in and advise early-stage startups and technology companies and later expanded their investments in tokenized blockchain projects."
Notable Quotes- "As a startup CEO, I slept like a baby. I woke up every 2 hours and cried."
9. Kathleen Breitman
Source: bitnewstoday
Kathleen is the CEO of Tezos, a smart contract platform. She founded R3 a consortium of more than 70 financial firms before founding Tezos in 2017 with her husband.
How did she get into crypto?
Kathleen's husband Arthur got her interested in Bitcoin. She garnered extensive knowledge in blockchain technology and released a white paper in 2014 addressing the weaknesses in the blockchain protocols at the time and proposed solutions on eliminating them.
Notable Quotes- "Pretend Internet money if you will is kind of like this great cyberpunk pipe dream that was never quite realized in the 1990s but obviously has a lot of implications if you consider how we make transactions on the web today."
10. Roger Ver
Source: Forbes.com
Most popularly known as 'Bitcoin Jesus' he is probably the first one who has invested in any bitcoin startup. He is the CEO of Bitcoin.com and is a huge proponent of digital currencies. He is a quite polarizing and controversial figure in the crypto industry.
He got involved with bitcoin soon after its inception and his investment portfolio constitutes Blockchain.com, BitPay, Zcash, ShapeShift, Kraken and Purse.io and many more. He is an avid speaker and shares his insights on different crypto related channels. His social channels are a rich source of information and insight on various important issues related to blockchain and cryptocurrencies.
Notable Quotes- "If it is something particularly useful and for some reason is having trouble getting funding from traditional sources, I may be interested."
So to conclude we can say, the trends are always authenticated and spread by the niche influencers by the niche influencers who have deeply engaged communities within the crypto fraternity. Having a strong reach and presence on Twitter, Telegram, Facebook and Youtube, they often have polarizing effects on the entire markets and can kick start a buying or selling frenzy among investors. These influencers can sometimes prove to be the driving force behind a certain asset and make it boom or tank in valuation. This is quite similar to the term referred to as FOMO and FUD which we mentioned earlier in one of our articles.
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Health Care Disparities Update: Transgender People and HIV/AIDS
Action Wellness > Announcements > Blog > Health Care Disparities Update: Transgender People and HIV/AIDS
Editor's Note: Last week the transgender Pride flag flew over Philadelphia City Hall – a first, which we hope will become an annual event. Following on that, Dr. Rachel Levine, a transgender woman, was confirmed by the Pennsylvania Legislature as the State's Physican General. Meanwhile, Caitlyn Jenner graced the cover Vanity Fair. While we're pleased with all these very positive developments, let's not forget the significant health disparities confronting transgender people, as discussed in this guest blogpost by our University of Pennsylvania undergraduate student intern, Miriam Chappelka.
A recent ActionAIDS blog post discussed health disparities associated with bisexuality. I'd like to continue the discussion by considering health care disparities among transgender people. Trans people have disproportionately poor rates of many health indicators such as suicide, mental health, and life expectancy. These health disparities are also visible in their HIV/AIDS risk.
First, some vocabulary: someone who is transgender does not identify with the gender they were assigned at birth. Thus, a trans woman is someone who was assigned male at birth and identifies as a woman; a trans man is someone who was assigned female and birth and identifies as a man. Additionally, gender identity, sexual orientation, and gender expression are different things. For example, a trans women may identify as straight or bisexual or any other sexual orientation. You cannot assume someone's sexual orientation on the basis of their gender identity or the clothes that they wear.
HIV and Transgender Women
The fastest growing population of HIV positive people in the United States is transgender women. According to the CDC's page HIV/AIDS Among Transgender People, "the highest percentage of newly identified HIV-positive test results [is] among transgender people."
The vast majority of trans people with HIV/AIDS are women. In fact, in New York City, 99 percent of HIV-positive trans people were trans women. Despite the population's high rates of HIV/AIDS, there has been little research, and data is significantly lacking, making it difficult to ascertain just how many trans women are HIV positive. The CDC notes that existing studies indicate rates between 12 and 28 percent. Of those infected women, many don't know their status. In a recent study, almost three-fourths of HIV-positive trans women were unaware of their positive status. Especially at risk of being positive are trans women of color; at a staggering 56 percent, black trans women have the highest rates of HIV-positive test results by race and ethnicity.
One factor that contributes to this extremely high risk of HIV is the fact that many trans people lack access to health care. Those that have access may be reluctant to use it as a result of past negative experiences. In the National Transgender Discrimination Survey Report on Health and Health Care, one in five transgender people reported having been denied access to health care because of their identity; this number was even higher for transgender people of color. The survey revealed that medical settings can be hostile environments for trans people: 28 percent had experienced harassment in medical settings and 2 percent even experienced violence in doctor's offices. In addition, trans people found that doctors were not aware of issues relating to transgender health. Half of those surveyed reported having to educate their providers about transgender care. As a result of negative experiences with the medical establishment, trans people are much more likely to avoid or delay seeking care.
An unwelcoming environment discourages healthcare seeking behavior. In order to make transgender people more comfortable seeking care, it is crucial to create a gender affirming environment.
Steps health care providers can take to create a more welcoming environment:
understand that gender identity is not the same as sexual orientation, and patients can have any combination of gender identities and sexual orientations
don't assume gender! Ask people how they would like to be referred to. Keep in mind that the gender and name on someone's official documents may not be the gender they identify as or the name they use
If you misgender someone, acknowledge it, apologize, and continue the original conversation
have gender neutral restrooms available
give appropriate/necessary care
educate yourself about transgender care
HIV/AIDS among transgender people is a dire issue that has yet to receive the attention that such an epidemic deserves. Trans people are one of the highest risk populations for HIV/AIDS; yet there is very little data or research on their experiences. The little existing data reveals alarming disparity. Our ActionAIDS commitment to helping clients with barriers to care is an important resource in addressing these health disparities.
–Miriam Chappelka, ActionAIDS Development Intern, with special thanks to Roderick Cook from Penn Non-Cis for proofreading for accurate terminology
Health Resources for Trans Individuals in Philadelphia
Trans* care at Mazzoni Center
Philadelphia Trans Health Conference
Action AIDS Services
Center of Excellence for Transgender Health
Report on Transgender Issues in HIV
National Transgender Discrimination Survey Report on Health and Health Care
The CDC's factsheet on HIV Among Transgender People
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Nice place and loved the rooftop restaurant/bar with great views of the Chao Phrya. Staff was friendly and helpful.
Property was walking distance from Chinatown and the view of Bangkok from the river view rooms was nice.
The rooms are located right on the river. Waking up and seeing the water from the room is a wonderful experience. They have bikes you are able to take for a ride around the village. The hosts are a very nice family.
Tucked away in the heart of old Talad Noi, you would never know this place existed until you are at the door. Amazing river views and great dinners.. The rooftop views are some of the best in Bangkok, and much cheaper than other properties with similar views.
The receptionist is very accommodating and she assisted me going to Chao praya river. She even went with me to that place to make sure that I won't be lost.
The hotel location is very far from the airport. I paid 500 Bhat for the taxi. The resturant staff was friendly compared to hotel receptionist. In fact, the hotel reception dont know that i will check in that day. Breakfast was not included but i booked with the breakfast.
Such nice people, not only at the hotel but also in the neighborhood. We went local most of the time, eating Thai street food (go to the left as you walk out the guesthouse door) and chatting up the many neighborhood cats. It's a short walk to the river express boats which got us to the parts of Bangkok we wanted to visit. The bathroom sink was a great place to wash out clothing. And the free, if instant, coffee in the lobby was much appreciated. Be sure to read the description of Talad Noi on the River View website so you are prepared for this neighborhood! Probably—certainly— not for everyone.
Restaurant on 7th floor has incredible views of the river. Lovely place to hang out.
Hotel restaurant has gorgeous views of the city and river; staff were also very helpful and friendly. The room is fine-- not luxurious by any means, but it gets the job done.
When would you like to stay at River View Guest House?
Located on a higher floor, this spacious room has views of the river.
Room features brunet and black wall panel. It offers an private bathroom.
Air-conditioned room features Thai-style decoration in blue and light gray.
Offering river and city views, these rooms have a cable TV and air conditioning.
This bed in dormitory features a satellite TV.
River View Guest House was established over 20 years, one of the oldest guest house by Chao Praya River. Over years, we have boosted our reputation among international travellers.
Wired internet is available in public areas and costs THB 40 per hour.
House Rules River View Guest House takes special requests – add in the next step!


ගෝඨාභය රාජපක්‍ෂ මහතා 2020 ජනාධිපතිවරණයට ඉදිරිපත් වීම වැළැක්වීම සඳහා බොහෝ දෙනකු උත්සාහ දරන බව මවුබිම වෙනුවෙන් රණවිරුවෝ සංවිධානයේ කැඳවුම්කරු නීතිඥ මේජර් අජිත් ප්‍රසන්න මහතා පැවැසීය.
ඔහු මේ බව කියා සිටියේ ඉකුත් 10දා සමාජය හා සාමයික කේන්ද්‍රයේ පැවැති මාධ්‍ය හමුවක් අමතමිනි.
'නාගානන්ද කොඩිතුවක්කු නීතිඥවරයා හා සුගන්ධිකා ප්‍රනාන්දු නීතිඥවරිය ආන්දෝලනාත්මක ප්‍රකාශ කිහිපයක් මෑතකදී කර තිබුණා. ඊළඟට නාමල් රාජපක්‍ෂ සහ ගෝඨාභය රාජපක්‍ෂ ගැන සොයන බව කියනවා.
මේ නීතිඥවරුන්ගේ කුමන්ත්‍රණය පියවර තුනකින් එළියට එන්නේ. ගෝඨාභය මහත්තයාව කෙසේ හෝ හිරකොට 2020දී ජනාධිපතිවරණයට ඒම නතර කිරීමට යන කුමන්ත්‍රණයේ ඔවුන් හවුල්කාරයෝ.
නාමල් රාජපක්‍ෂට රාජ්‍ය දේපොළ අවභාවිත කළා කියලා කිසිදු චෝදනාවක් නෑ. ගෝඨාභය රාජපක්‍ෂට මිග් යානා ගනුදෙනුවක් ගැන චෝදනා කරනවා. ඒ ගනුදෙනුව හෙළි කරන්න හදපු ලසන්ත වික්‍රමතුංග ඝාතනය කළා කියලත් ගෝඨාභයට චෝදනා කරනවා.
පිටරටක ඉන්න උදයංග වීරතුංග එක්ක ගෝඨාභය රාජපක්‍ෂ සම්බන්ධ කරලා මුදල් ගසා කෑමේ චෝදනාවක් එල්ල කරනවා. මේ ගනුදෙනුවලදී ප්‍රසම්පාදන කමිටු තිබුණු බවවත් කාර්යපටිපාටීන්වල හිටපු නිලධාරීන් ගැනවත් මෙහිද කතා කරන්නේ නැහැ.
දූෂණ, වංචා කරන්න ඕනනම් ගෝඨාභය මහත්තයාට ඒ සඳහා ඕන තරම් ව්‍යාපෘති තිබුණා. නාගරික සංවර්ධන අධිකාරිය ඔහු යටතේයි තිබුණේ. දියත උයන, වැලි පාර්ක්, ඉන්ඩිපෙන්ඩන් ආර්කේඩ්, රේස්කොස්, කෝට්ටේ, බෙල්ලන්විල ව්‍යාපෘති, කොම්පඤ්ඤවීදියේ අවට මුඩුක්කු ඉවත් කොට ඒ නිවැසියන්ට මහල් නිවාස ලබාදීම ඇතුළු බොහෝ ව්‍යාපෘති තිබුණා ගසා කන්න.
මේ කිසිම ව්‍යාපෘතියකට දේශපාලනඥයෝ ගාව ගත්තේ නැහැ. ඒක තමයි මා දන්නා තරමින් දේශපාලනඥයෝ ගෑවිච්ච නැතිව කරපු සංවර්ධන ව්‍යාපෘති.
දූෂණ, චෝදනා තියෙන්නේ ඇවන්ගාර්ඩ් එකට. මෙය මා දන්න තරමින් රුපියල් බිලියන 5.4ක් වසරකට රටට ලැබුණා. අද එය රුපියල් බිලියන 1.4කට බැහැලා රුපියල් බිලියන 4ක් පාඩුයි.
අනික තමයි ගෝඨාභය මහත්තයාගේ මවුපියන්ගේ ස්මාරකය හදන්න රජයේ මුදල් යොදා ගත්තා. ගසා කනවා නම් ගසා කන්න ඕන තරම් ව්‍යාපෘති තියෙද්දී මවුපියන්ගේ ස්මාරකයෙන් ගසා කයිද?
පසුගියදා අධිකරණ සංවිධාන සංශෝධන පනත සම්මත වුණා. මේ පනතින් ආවරණය වෙන්නේ වංචා, දූෂණ සම්බන්ධව පමණයි. මේ රටේ ප්‍රධාන ප්‍රශ්නය වංචා, දූෂණද? හිටපු ජනාධිපති ලේකම් ලලිත් වීරතුංග මහත්තයාගේ සුදු රෙදි නඩුවට මාස 6ක්වත් ගියාද? ඔය අහලා නඩු තීන්දු දුන්නේ. මේ රටේ වැඩිපුර පමා වෙන්නේ මිනීමැරුම්, ඉඩම් ආදී නඩුයි.
ඔය නීතිඥ නාගානන්දලා මේ දේවල් ගැන කතා කරන්නේ නැහැ. නීතිඥයෝ විනිසුරුවන් හෑල්ලුවට ලක් කරමින් කතා කරන්නේ ඔවුන් කෙරේ අවධානයක් දිනා ගන්න. පොලිසිය සහ අධිකරණය දූෂිතයි කියන ඔවුන් එය එසේ නම් ඊට පිළියම් මොනවාද යන්න ඉදිරිපත් කරන්නේ නෑ.
ගෝඨාභය රාජපක්‍ෂ, බැසිල් රාජපක්‍ෂ, ටිරාන් අලස් ඇතුළු පිරිසකට එල්ල කර ඇති චෝදනා ගැන නඩු අහනවාද නැද්ද කියා තීරණයක් ඉල්ලා තිබියදී එෆ්.සී.අයි.ඩී.ය කරන්නේ පුද්ගලයන්ව අත්අඩංගුවට ගැනීම හා රඳවා තබා ගැනීම පමණයි.
The international community is demanding hybrid courts and international investigations because our justice system is horribly faulty. The only sure way to stop hybrid courts and international investigations is to fix the courts system. Here are some indisputable evidence why no one (not even locals) trust the courts system to punish war criminals.
The Batalanda mass murderer was not only set free from punishment for crimes against humanity but also became prime minister thrice after that.
LTTE leader KP accused of international terrorism and war crimes is protected by the Sri Lankan government.
Aranthalawa and Dalada Maligawa bomber was not only protected but also given a parliamentary seat.
No right thinking person will trust the Lankan court system to deliver justice on war crimes for this reason. It must be fixed to save our war heroes. Unless it is fixed, ordinary people will demand international courts for their court cases too.
I felt that there is something wrong with this (Su)gandika project from day 1…!!
Sugandika's final sentence let the cat out of the bag. They are on an agenda to hunt Gotabhay. Otherwise most of what she said is true. It is the lawyers who are most corrupt and they have spread it to the whole judicial system.
We know that our judiciary is not the best or even very corrupt. However the important issue before the nation is to choose a proven leader to lead the nation. The advent of Nagananda Kodituwakku and now this lady lawyer is a clear Red Herring to throw a spanner in the United Opposition march towards throwing the Yahapalana Traitors out of office.


text:
2017Honda CivicRS Hatchback
Price (MRLP)
Doors and Seats
5 doors, 5 seats
1.5T, 4 cyl.
127kW, 220Nm
Petrol (91) 6.1L/100KM
1 Spd Auto (CVT)
3 Yr, 100000 KMs
Ancap Safety
5/5 star (2017)
See Pricing + Full Specs
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2017 Honda Civic RS hatch long-term review, report six: farewell
Our three months in the 2017 Honda Civic RS flew by, and now Matt Campbell doesn't want to give it back.
Terrific interior smarts
Super comfortable to drive
Willing turbo engine
Plenty of charm
What we don't
Looks aren't for everyone
Some tech shortcomings in terms of safety kit
Noisy engine
I'm going to miss my 2017 Honda Civic RS hatch. Notice how I've called it mine? That's because, after living with it for the past few months, I've got to know it really well. And I wish it was mine.
I've grown accustomed to its idiosyncrasies and quirks, but more importantly, I know why I've been charmed by it. There are three main reasons, and I have to tell you them before they make me hand it back.
A lot of what I like about the Civic comes down to the overall impression I get from the drive experience.
I mean, sure – this is the RS model, and I kinda hate that it's called the RS, because it's not really sporty at all. It's just a sporty looking model, where other RS hatchbacks in this class are properly kick arse – like the Ford Focus RS, for example.
That said, the Civic RS has some hallmarks of a hot hatch. Like the steering, which is direct and really fast, meaning it feels really easy to change directions in corners. It's fun to drive fast.
But not all of us drive through a series of bendy bits every day. And that's the next reason I'll miss this thing: it's a brilliant commuter car.
The seating position is excellent, and you can sit down really low in the car if you want – which is a huge bonus to me, because I want a small car to feel like a small car, and that's what this driving position does. You're hunkered in. Not only that, the seat comfort is really good, but it doesn't have memory settings – which is a pain if you're swapping drivers a bit.
And the ride comfort is, for me at least, the best you can get at this price. There's a great combination of control over bumps and cushioning, too. I struggle to find much to complain about, there.
And point number three as to why I'll miss the Civic? The interior – it's a really nice place to be, not just because of those seats, but because it's got some of those Honda smarts when it comes to interior storage.
The massive bin between the front seats is capacious enough that you could lose a small child in there, and the door pockets are big, too. It's a smart space, with the clever little shelf in front of the shifter offering you an option to poke through your phone cable to keep things tidy.
According to some of the dads in the office the height of the Civic's back seat is a bit of a pain if you've got kids – I guess that's where the CR-V comes in, because it offers a more load-friendly height. But for adults there's good space in the back seat.
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The boot is great, too – even this RS model, which has a smaller capacity due to those silly twin exhausts, is handy in size.
All that leads me with my biggest question over the Civic hatch: its styling.
I did a quick ask around the office to see what everyone in our Sydney team thought of it – is it good looking, or not? – and here's what they said:
"It's interesting."
"I really like it – it's quite modern."
"I'm not a fan – I think it has two too many doors."
"It's very sporty, it makes me want to jump in the car and go for a spin."
"I really like it, there's a bit of formula one tech on the spoilers and the winglets, particularly at the rear – I really love the rear."
"I reminds me of a mullet – business at the front, party at the back. But that's not a party I'd want to go to."
"The RS is supposed to look sporty, but I don't see much sport in this."
"If you're into sci-fi it's probably a positive, because it looks like a Storm Trooper from Star Wars."
"Some people may not like it, it could be a bit too over the top. But, you know, don't buy it!"
It's not my job to tell you if a car is attractive, but to me, the big concern would be how it will age. I mean, I wasn't aware of the lines and curves when I was sitting inside the car, but when I'd walk back to it after I'd been into the shops, I did find myself thinking: "hmmmm… this may not age too well".
All that aside, I will miss my Civic hatch. Don't get me wrong – I'd totally buy the sedan instead, because to me it looks sooooo much better – but this is still an impressive offering in the small car space.
Odometer reading upon vehicle return: 6565km
Travel over life of loan: 5165km
Fuel consumption average over life of loan: 6.8L/100km
Fuel cost over life of loan: $422.55
MORE: Honda Civic RS hatch review: Long-term report one
MORE: Honda Civic RS hatch review: Long-term report two
MORE: Honda Civic RS hatch review: Long-term report three
MORE: Honda Civic RS hatch review: Long-term report fourMORE: Honda Civic RS hatch review: Long-term report five
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text:
Q: If $\lim_{n \to \infty} (a_n - a_{n-2})=0$, prove that $\lim_{n \to \infty} \frac{(a_n - a_{n-1})}{n} = 0$
If $\lim\limits_{n \to \infty} (a_n - a_{n-2})=0$, prove that $\lim\limits_{n \to \infty} \frac{(a_n - a_{n-1})}{n} = 0$.

I have no idea about solving it rigorously. I feel that $\lim\limits_{n \to \infty} (a_n - a_{n-1})=0$ holds true as well if all terms are positive or negative.

A: Denote, for $n\geq 0$,
$$
\delta_n \stackrel{\rm def}{=} a_{n+2}-a_n
$$
so that by assumption $\lim_{n\to\infty} \delta_n =0$. We have, for all $n\geq 0$,
$$
a_{2n} = a_0 + \sum_{k=0}^{n-1} (a_{2k+2}-a_{2k})
= a_0 + \sum_{k=0}^{n-1} \delta_{2k}\,.
$$
Similarly,
$$
a_{2n-1} = a_1 + \sum_{k=0}^{n-2} (a_{2k+3}-a_{2k+1})
= a_1 + \sum_{k=0}^{n-2} \delta_{2k+1}\,.
$$
Therefore, for $n\geq1$,
$$
\frac{a_{2n}-a_{2n-1}}{2n}
= \frac{a_0-a_1}{2n} + \frac{\sum_{k=0}^{n-1}\delta_{2k}-\sum_{k=0}^{n-2}\delta_{2k+1}}{2n}
= \frac{a_0-a_1}{2n} + \frac{\delta_{2n-2}}{2n} + \frac{1}{2n}\sum_{k=0}^{n-2}(\delta_{2k}-\delta_{2k+1})
$$
The first two terms obviously converge to $0$ (can you see why?) so it remains to show the third does as well. This in turn follows from Cesaro's lemma, as
$$
\lim_{n\to\infty}(\delta_{2n}-\delta_{2n+1}) = 0-0 = 0.
$$
To summarize: we just showed
$$\boxed{
\lim_{n\to\infty}\frac{a_{2n}-a_{2n-1}}{2n} = 0
}$$
Now, you can easily conclude the same for
$
\lim_{n\to\infty}\frac{a_{2n+1}-a_{2n}}{2n+1}
$,
as $a_{2n+1}-a_{2n} = \delta_{2n-1}+a_{2n-1}-a_{2n}$.

A: let's denote $a_{n-1}-a_{n}$ by $x_n$
Now given condition states that for any given $\epsilon>0$
|$a_{n}-a_{n-2}$|$<\epsilon$ for all n>N$\in \mathbb{N}$
|$a_{n}-a_{n-2}$|$\geq$||$a_n-a_{n-1}|-|a_{n-1}-a_{n-2}||$
which means $\lim_{n\rightarrow \infty }(|x_n|-|x_{n-1}|)=0$
by stolz ceasaro theorem lim $\frac{|x_n|}{n}$=0
I hope you will stich together these peices

A: Note that
$$0\le||a_n-a_{n-1}|-|a_{n-1}-a_{n-2}||\le|a_n-a_{n-2}|$$
and also
$$\lim_{n\to\infty}x_n=0\iff\lim_{n\to\infty}|x_n|=0\tag{1}$$
Hence, by applying the Squeeze theorem and $(1)$, we get that
$$\lim_{n\to\infty}\left(|a_n-a_{n-1}|-|a_{n-1}-a_{n-2}|\right)=\lim_{n\to\infty}\frac{|a_n-a_{n-1}|-|a_{n-1}-a_{n-2}|}{n-(n-1)}=0$$
We can then apply the Stolz–Cesàro theorem and $(1)$ to the above limit which directly gives
$$\lim_{n\to\infty}\frac{a_n-a_{n-1}}{n}=0$$

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text:
Our Catalog Oldies Baroque Pop
Of the People, By the People, For the People [Vinyl]
Of the People, By the People, For the People [Vinyl] by Fallout at WA Tunes. Hurry! Limited time offer. Offer valid only while supplies last. Previously reissued on CD by Fallout, now issued on deluxe LP format as well; 180 gram pressing. This superbly moody album first appeared on Capitol in 1969. Produced by ''Lord'' Tim Hudson (The Seeds, The Lollipop Shoppe) and arranged by David Axelrod, it's a superb blend of garage rock and orchestrated psychedelia, featuring a three-song opening salvo truly unlike anything else in pop. This is its fullest-ever release, complete with liner notes detailing what little has ever been discovered
Previously reissued on CD by Fallout, now issued on deluxe LP format as well; 180 gram pressing. This superbly moody album first appeared on Capitol in 1969. Produced by "Lord" Tim Hudson (The Seeds, The Lollipop Shoppe) and arranged by David Axelrod, it's a superb blend of garage rock and orchestrated psychedelia, featuring a three-song opening salvo truly unlike anything else in pop. This is its fullest-ever release, complete with liner notes detailing what little has ever been discovered about the band.
Manufacturer: Fallout
Publisher: Fallout
Studio: Fallout
Package Size: 12.13 x 0.24 x 0.24 inches
View More In Baroque Pop.
The Great American Eagle Tragedy
By Elektra Records
By Rev-Ola
By Sony
sku: 79132, ean: 5099749169425,
Greatest Hits of the 60's (8 CD Box Set)
By Disky
Something Else by the Kinks [Vinyl]
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By Fallout
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Ep Collection
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The British Invasion: The History of British Rock Box
By Rhino Records


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Office of Internationalisation
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Full Degree Student Support
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Visa and Migration Office
HSE Online
Important announcements 1
Since October 21, PCR tests for foreigners arriving in Russia have been cancelled
Students of Critical Media Studies Carry out Research on Monsters and Horror
Traditionally, humans have imagined monsters as the exact opposite of themselves: huge, violent, or invisible and soulless beasts. This is apparent in many examples in cinema. However, the image of monsters on the screen transforms with time. A group of Critical Media Studies master's students organised an event covering the topic of how this transformation takes place at the 'Playing with Fear: New Image of Monsters in Horror Films' round table on December 10th.
Education research projects international students master's programmes media studies monsters
Research that Will Help Fight Corruption
Emmanuel Adu Sarfo, 23, from Ghana, is a second-year master's student on the HSE Economics and Economic Policy programme. He is carrying out research on the ancient roots of corruption that influence its prevalence in different countries. Emmanuel talked to the HSE News Service about his studies and research at HSE University in Moscow.
On Campus research projects international students master's programmes
'Gaining Practical Knowledge and Learning to Do a Lot in a Short Time'—The Life of an HSE PhD Student
Milica Simonovic, from Belgrade, Serbia, is a doctoral student at the HSE University Faculty of Economic Sciences. She is currently working on her doctoral thesis on corporate governance and intellectual capital disclosure. We interviewed Milica to find out more about her thesis and her experience of the university's application process for PhD students.
Admissions ideas & experience research projects international students doctoral programmes economics
'The Human Brain Has Always Fascinated Me'
Alexios Kouzalis, from Cyprus, is a first-year PhD student at the HSE University School of Psychology. We talked with Alexis about his reasons for coming to HSE Moscow, his achievements and his observations on life in the Russian capital.
Education ideas & experience research projects international students master's programmes doctoral studies neuroscience psychology
In Pursuit of the African Migrant Experience: HSE Doctoral Student Sheds Light on an Understudied Segment of the Moscow Population
At the recent seminar of the HSE International Laboratory for Social Integration Research, Isaac Olumayowa Oni, HSE doctoral student and lab research assistant, spoke about African migration to Russia. In an interview with HSE News Service, Isaac discussed his research and talked about what it's like to study at HSE and live in Moscow.
Research&Expertise ideas & experience research projects international students doctoral programmes migration
A Ticket to the Rocky Mountains and Media Research
This year HSE University is launching a new Master's programme in Critical Media Studies. HSE bulletin HSE Look has talked to Olga Baysha, Associate Professor at the Faculty of Communications, Media and Design, who was involved in creating the programme, about her path in academia, research interests, and teaching.
Research&Expertise new at HSE international faculty ideas & experience research projects international students master's programmes media studies
HSE Showcases Innovations in Urbanism and Neural Networks at Russia's Geek Picnic 2020
This year, Russia's largest science and technology festival, Geek Picnic, was held online for the first time. Despite the new format, the festival programme included all of the event's usual key features: expert lectures, workshops, competitions, and opportunities to socialize and network with fellow tech and science enthusiasts. HSE University once again served as the festival's content partner.
Community ideas & experience leisure research projects international students innovations master's programmes
Russian Field of Experiments
There are many strange things in the academic: scientists are researching street fighting math, porn studies, Harry Potter anthropology, and even queer death studies. But not all of these amazing research fields have been widely recognized. IQ.HSE and HSE Student Initiative Support Centre announce an essay competition for Bachelor's, Master's and doctoral students of all HSE campuses.
Research&Expertise IQ research projects Invitation to participate
Experiencing Culture Shock
Conscious decision-making and internalized intentions, as opposed to extrinsic influencing factors, are the key to a student's successful adaption to life in a foreign country. This was confirmed by research carried out by a group of scientists which included Ken Sheldon, Academic Supervisor and Head of the International Laboratory of Positive Psychology of Personality and Motivation at the Higher School of Economics.
Research&Expertise IQ research projects international students psychology


Online banking is nothing but a feature of doing banking processes via internet. Online banking offers almost all the services provided by a local branch but over internet. It is also known as internet banking or web banking. Online account opening is also not a tough job. This feature has extremely evolved in recent years and almost every bank uses some or all the features of the net banking.
You only need a mobile phone or computer and an internet connection to avail the feature of online banking. You can simply relax and do your banking works without going to a branch. Be it transfer of money, withdrawal, payment of bills or anything as such related to banking.
Payment of various types of bills.
Withdrawal and transfer of money from one account to another.
Through internet banking, you can have a paperless statement of your account.
For the purchase and sale of investments and many more.
Chase Bank is a USA based Bank. It was originally known as Chase Manhattan Bank but it merged with J.P. Morgan company in the year 2000 and came to be known as the J.P. Morgan Chase Bank. Its headquarter is in Manhattan, New York City. The bank serves more than half of the USA population and has more than lakh employees working in more than 100 countries. Chase bank has 5100 branches and approx. 16000 ATMs.
This bank offers services to both businessmen and consumers. Different accounts facilities are provided by the bank like other banks and quality service is being provided. One of the various services is the Chase Online account.
The first step in this regard is to visit the website of the Chase Bank or the mobile application of Chase Bank.
Create an account at Chase Bank.
Go to the 'online banking' page of the website.
You will be asked whether you want to open a personal, business or commercial account.
Then you will be required to fill up 3 blanks, i.e. account number, Social Security number and the User Id.
Next step will confirm your identity. Then choose how would you like to receive your temporary identification code and move next.
Now, click on "go to my accounts" to complete the procedure.
You must be a citizen of USA to go forthis process. In case you belong to another country then you must know the norms first before applying for online banking with Chase.
According to consumeraffairs.com, the overall review of the Chase online banking is not good. People find too many difficulties in accessing their online accounts at Chase Bank. On average, the rating has been 1 out of 5. Some say they faced account opening difficulties while some blame the bank for offering deposits which they never actually received. Some say the online account takes much time to open. So, people have issues regarding the online banking of Chase. We hope it gets better soon!
Transferring money via internet is actually a great advantage. Now, you don't need to go to branch and the offline process for this purpose.
Comfort is the major relaxation provided by online banking. You can sit anywhere and do the work anytime.
Online banking has no time period. It is accessible for 365 days and for 24 hours. So you don't need to worry about the bank being closed.
Bill payments become easier than ever with the internet banking with Chase.
Online banking also reduces the crowd in the branches of the bank as people do most of their work online.
Online banking saves your time as you no longer need to stand in the long lines.
So these are some of the advantages of online banking.
Online banking is a revolution in itself. It has reduced the load on the offline branch and at the same time increased the speed of the work done. With just a username and password it is accessible. It is easy to understand and work with and also comfortable.
Online banking with chase is very comfortable and easy. You can create an online account with a few simple and quick steps. With it, you will be able to manage your finances and payments in a better way than ever. Although currently the ratings and reviews of the Chase online banking is not much good but it is expected to recover soon.


High Alch: 1919 Coins; Low Alch: 1279 Coins.
Used to summon a Pyrelord Familiar.
You can make this by Infusing a pouch on an obelisk with 111 Spirit shards, Crimson Charm, and a Tinderbox. You will gain 202.4 Summoning experience by infusing this and 2.3 experience for Summoning the Pyrelord.
This familiar has a duration of 32 minutes once summoned.
I can summon a pyrelord familiar with this.
This Data was submitted by: Absolution and Cloudsfinalh.


Short sleeve, crew neck t-shirt with graphic.
This t-shirt is 100% recycled, made from upcycled textile remnants. Environmentally friendly. Fabric may have tiny speckles of color adding to its unique nature.
50% recycled cotton / 50% recycled polyester.


Is life fair? This question heightened in echo as the news break, revealing where most of the world's wealth go – the wealthiest. According to Oxfam, the gap between the rich and the poor has grown even further in 2017 as the world's wealth continues to be owned by a small minority.
In the report, some 82% of the world's riches went to the 1% richest people of the global population. While the poorest half had no increase at all.
However, critics queried Oxfam's figures, and it showed a failing system. Factors like tax evasion, depletion of workers' rights, firm's influence on policy, and cost-cutting are to blame for the widening gap.
In the last five years, Oxfam has produced similar reports. In 2017, the org revealed calculations showing that the eight richest individuals in the world had as much wealth as half of the poorest people of the global population.
Oxfam revised last year's figure to 61, and this year, it said 42 people had as much wealth as the poorest half. According to the org, the revision was due to the continuous trend of "widening inequality".
According to Oxfam chief executive Mark Goldring, the constant change in the figures just reflects that the org offers reports that used "the best data available at the time".
In the middle of the hype, Oxfam reports coincide with the beginning of the World Economic Forum in Davos, a Swiss ski resort. This annual conference typically focuses on inequality, which attracts top political and business leaders of the world.
Although inequality remains a top agenda in the conference, Mr Goldring said that commonly, "tough talk fades away at the first resistance".
It isn't an easy work to determine how much wealth does the rich and the poor really have. Rich people tend to not disclose the amount of wealth they own, while countries around the world keep substandard statistics of the poor.
Just the reports from Oxfam reflect the plight. Once, the reports claimed that the wealth of eight individuals was as much as the poorest half of the population. Then, it was revised to 61 last year, and then again to 42 this year. Those figures differ a lot.
Another problem is the data where those reports are based. For instance, not all people with the lowest wealth are literally poor, but could be individuals who are highly qualified professionals who have large amounts of debts or mortgages.
Still, whether it's eight, 42 or 61 people who have the same wealth as half of the world's poor, it clearly states that there's a great inequality among individuals. This is the message that Oxfam is trying to deliver to Davos.
As a solution towards equality, Oxfam urges businesses to rethink their models; to maximize shareholder returns over a broader social impact. Anthony Reuben says, that's wrong.
The org claims there was a "huge support" over their argument. Two thirds (72%) of 70,000 people surveyed in ten countries said they wanted their governments to "urgently address the income gap between rich and poor".
However, director general at free market think tank The Institute of Economic Affairs, Mark Littlewood said Oxfam was becoming "obsessed with the rich rather than the poor".
"Higher taxes and redistribution will do nothing to help the poor; wealth is not a fixed pie. Richer people are also highly taxed people – reducing their wealth won't lead to redistribution, it will destroy it to the benefit of no one," he added.
Sam Dumitriu, agreed. As the head of research at another free market think tank, the Adam Smith Institute, Dumitriu said Oxfam's inequality stats "always paint the wrong picture".
The question is, how does Oxfam get these figures? The organization's reports are based on data from Forbes and the annual Credit Suisse Global Wealth databook, which have been distributing the global wealth since the year 2000.
To calculate what a person "owns", the survey uses the individual's assets, including property and lands, minus debts. The data also exclude wages or income of a person.
Due to this methodology, it has been criticized, as it means that when a student has a potential to earn high in the future, the individual would still be considered poor because of the criteria.
However, Oxfam said that if the wealth will be recalculated excluding people in net debt, their combined wealth will still be equal to that of just 128 billionaires.


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Roy Hinson
Roy Hinson (born May 2, 1961) is a retired American professional basketball player who was selected by the Cleveland Cavaliers in the first round (20th pick overall) of the 1983 NBA draft. Hinson attended Franklin High School in Franklin Township, New Jersey. He then played his college career at Rutgers University in nearby New Brunswick. A 6'9" forward–center, Hinson played in eight NBA seasons from 1983 to 1991, for the Cavaliers, Philadelphia 76ers and New Jersey Nets.
(1961-05-02) May 2, 1961 (age 58)
Listed height
6 ft 9 in (2.06 m)
Listed weight
210 lb (95 kg)
Franklin (Somerset, New Jersey)
Rutgers (1979–1983)
1983 / Round: 1 / Pick: 20th overall
Selected by the Cleveland Cavaliers
32, 23, 21, 6
Atlantic 10 Player of the Year (1983)
Career NBA statistics
7,206 (14.2 ppg)
3,452 (6.8 rpg)
882 (1.7 bpg)
Stats at Basketball-Reference.com
Hinson's best year as a professional came during the 1985–86 season as a member of the Cavaliers, appearing in 82 games and averaging 19.6 points per game. He also participated in the 1986 NBA Slam Dunk Contest, finishing seventh out of eight contestants. In his NBA career, Hinson played in 507 games and scored a total of 7,206 points.
After his successful 1986 season he was traded to the Philadelphia 76ers for the Number 1 overall pick in the 1986 draft which became Brad Daugherty. He was never again able to reach the same height he had in Cleveland, later going to the Nets and then retiring.
Roy Hinson's NBA stats @ basketballreference.com
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Retrieved from "https://en.wikipedia.org/w/index.php?title=Roy_Hinson&oldid=907436178"


Today's weather is turning out to be partly cloudy. The visibility is going to be around 17 km i.e. 10 miles and an atmospheric pressure of 1010 mb . The daytime temperature is going to reach 28 °c and the temperature is going to dip to 26 °c at night. It will be dry with no precipitation and cloud covering 6% of the sky, the humidity will be around 54%.
Tomorrow weather is forecasted to be partly cloudy. The visibility is going to be around 20 km i.e. 12 miles and an atmospheric pressure of 1012 mb. The daytime temperature is going to reach 27 °c and the temperature is going to dip to 25 °c at night. It will be dry with no precipitation and cloud covering 0% of the sky, the humidity will be around 51%.
On Thursday weather will be sunny with daytime temperature reaching 27 °c. Night time temperature are expected to be 24 °c.It will be dry with no precipitation. The visibility is going to be around 20 km i.e. 12 miles and an atmospheric pressure of 1013 mb. It will be dry with no precipitation and cloud covering 0% of the sky, the humidity will be around 53%.
Friday seems to be partly cloudy. Dubai, United Arab Emirates visibility is going to be around 20 km i.e. 12 miles and an atmospheric pressure of 1011 mb. The daytime temperature is going to reach 28 °c and the temperature is going to dip to 24 °c at night. It will be dry with no precipitation and cloud covering 1% of the sky, the humidity will be around 53%.
Partly cloudy will be the weather pattern for the Saturday. The visibility is going to be around 20 km i.e. 12 miles and an atmospheric pressure of 1011 mb. The daytime temperature is going to reach 29 °c and the temperature is going to dip to 26 °c at night. It will be dry with no precipitation and cloud covering 10% of the sky, the humidity will be around 53%.
Looking at the weather in Dubai, United Arab Emirates over the next 7 days, the maximum temperature will be 32℃ (or 89℉) on Tuesday 23rd April at around 1 am. In the same week the minimum temperature will be 23℃ (or 73℉) on Sunday 28th April at around 10 pm.
The windiest of all days will be Wednesday 24th April as wind will reach 20mph (or 32kmph) at around 4 pm.