In this document, you can find a number of examples showing how to typeset beautiful mathematical equations with LaTeX. In the first part of the document, you find the examples. At the bottom, in section \ref{sec:source}, you find the full code to generate these examples. A more generic guide on how to insert LaTeX blocks in your documents can be found here.

The arXiv is the most popular preprint repository in the world. Since its inception in 1991, the arXiv has allowed researchers to freely share publication-ready articles prior to formal peer review. The growth and the popularity of the arXiv emerged as a result of new technologies that made document creation and dissemination easy, and cultural practices that incentivized collaboration and data sharing. The arXiv represents a unique place in the history of research communication and the Web itself, however it has arguably changed very little since its creation.  Here we look at the strengths and weaknesses of arXiv in an effort to identify what possible improvements can be made based on new technologies not previously available. Based on this, we argue that a modern arXiv might in fact not look at all like the arXiv of today.  

The web was built specifically to share research papers amongst scientists. Despite this being the first goal of the modern web, most research is still published behind a paywall. We have recently highlighted famous math papers that reside behind a paywall as well as ten papers that have achieved a near rockstar status in research and the public. Here we systematically look at the top one hundred cited papers of all time and find that 65% of these papers are not open. Stated another way, THE WORLD’S MOST IMPORTANT RESEARCH IS INACCESSIBLE FROM THE MAJORITY OF THE WORLD. A few facts about the top 100 cited papers: 1. The weighted average of all the paywalls is: $32.33, rounding to the nearest cent. 2. There are 1, 088, 779 citations of the Open Access articles, so, if they cost the same on average as the Paywalled articles and were paid for individually, they would cost a total of: $35, 199, 108.44–that’s 14 Bugatti Veyrons, or enough to buy everyone in New York City a Starbucks Tall coffee and chocolate chip cookie. In comparison, the total amount for the paywalled articles, assuming everyone bought the paywalled articles individually, is $54, 722, 252.80. 3. That’s 23 Bugatti Veyrons, or enough to buy everyone in New York City a footlong from Subway. 4. Although 65% of the most cited papers are paywalled, only 61% of those paper’s citations are from paywalled journals. Thus the open access articles in this list are, on average, cited more than the paywalled ones.

Do you have a question, problem, idea, bug report or feedback about your Authorea experience? To provide better and faster support for all our users, we recently added a real time chat feature. Go to any document (yes, this one included) and just look for the help chat icon (the speech bubble in the lower right corner), click on it and start a conversation with one of our experts. Ask them anything, they solve problems!

JAVASCRIPT, D3.JS, AND D3PO.JS Javascipt offers many ways to create data-driven graphics. A popular solution is D3.js, a JavaScript library to create and control web-based dynamic and interactive graphical forms. A gallery of some beautiful d3.js plots can be found here. Authorea now supports most Javascript-based data visualization solutions. The example below - Figure [fig:1] - is a plot generated using D3po.js which is a javascript extension of d3.js. D3po allows anyone with no special data visualization skills, to make an interactive, publication-quality figure that has staged builds and linked brushing through scatter plots. What’s even cooler is that the plot below is based on actual data (astrophysics data, yay!). The figure describes how metallicity affects color in cool stars. It is based on work of graduate student Elizabeth Newton and others . TRY CLICKING AND DRAGGING IN THE SCATTER PLOTS to understand the power of linked brushing in published figures. You should know that THIS ENTIRE VISUALIZATION IS RUNNING WITHIN AUTHOREA. The Javascript, HTML, CSS and ALL THE DATA associated with this image are all part of this blog post. They are individual files which can be found by clicking on the folder icon on the top left corner of this page.

Since 1988, according to Scopus, there have been 48,238,173 documents published by an estimated 100M+ authors.  Most of these papers are written by lifelong academics and professional researchers -- however, occasionally somebody who spends more of their time in the public eye than in the lab makes a splash and publishes a piece of original research. In this post we highlight 10 publications with nontraditional authors.1. Bringing Impressionism to Life with Neural Style Transfer in Come SwimAuthor: Kristen Stewart (Actress).Citation: \cite{Josh_2017}.Citation count: 0

AbstractPreprints are widely acknowledged to be beneficial to the research community. However, the career implications of an author preprinting their work are unclear. Here we discuss the implications of researchers preprinting their work in terms of precedence, visibility and citation impact, and manuscript editing. In short, we show that researchers that preprint their work have a citation boost ranging from 83% to 269% and that preprints can in practice improve your manuscript and that can limit "scooping."What are preprints?Preprints are publication-ready research articles that have yet to undergo peer review and be formally published. They are free, openly accessible, and widely reusable under permissive copyright licenses.  They accelerate research communication by putting dissemination under researcher control. While preprints are widely viewed as beneficial for research and are the norm in certain disciplines like physics, math, computer science, and statistics, preprinting is relatively new in other disciplines, like the life sciences, psychology, sociology and others.  In these fields - that are new to preprints - questions and confusion can arise around preprinting, potentially hampering their uptake and utility.The benefits of preprintingBelow we highlight the benefits of preprinting your work at the individual level in an effort to encourage researchers to take control of their research. This article aims to show that preprinting is not just good for the community, but also good for the individual scientist, as outlined in "The selfish scientist’s guide to preprint posting" \cite{Kriegeskorte}.Preprints allow researchers to claim precedence on a discoveryWith funding rates at an all-time historic low (see figure \ref{849950}) researchers are hyper-competitive in many aspects of their careers. This competition, while good to an extent, can severely limit data sharing and open discussion, two practices necessary for the advancement of research.  One particular fear of researchers is that they might be "scooped," (ie their discovery is shared by someone else first).  

PREVIOUS “A “MODERN SCIENTIST” MANIFESTO” In the 21st century science is growing more technical and complex, as we gaze further and further while standing on the shoulders of many generations of giants. The public has often a hard time understanding research and its relevance to society. One of the reasons for this is that scientists do not spend enough time communicating their findings outside their own scientific community. Obviously there are some exceptions, but THE RULE IS THAT SCIENTISTS WRITE CONTENT FOR SCIENTISTS. Academia is often perceived as an ivory tower, and when new findings are shared with the outside world, this is not done by scientists, but by the media or even the political class. The problem is that these external agents do not have the necessary background to digest and properly communicate this knowledge with the rest of society. They often misunderstand, over-hype and in some case even distort the results and views of the scientific community. IT’S IRONIC AND SOMEWHAT FRIGHTENING THAT THE DISCOVERIES AND RECOMMENDATIONS FOR WHICH SOCIETY INVESTS SUBSTANTIAL ECONOMIC AND HUMAN CAPITAL, ARE NOT DIRECTLY DISSEMINATED BY THE PEOPLE WHO REALLY UNDERSTAND THEM. At the same time transparency and reproducibility are at stake in the increasingly complex world of research, which is still using old-fashioned tools when packaging and sharing content. This is not only a big problem for research itself, but can give science a bad name in front of the public opinion, which increasingly does not understand and trust the work of scientists. To the average tax-payer science is often cryptic, with most recently published papers behind a pay-wall and the majority of research virtually inscrutable. In this scenario it is hard for the public to access and capture the relevance of scientists’ work. I strongly believe that a society that does not trust its scientists is set on a dangerous course. ACTION ITEMS. To improve the situation 21st century scientists need to: 1. Learn to efficiently share and communicate their research with the public at large. 2. Make their research more transparent and reproducible, so that it can be trusted and better understood by their peers and the public at large. 21st century scientists need to produce “PUBLIC-FRIENDLY OPEN SCIENCE” (PFOS).

Some research findings have permeated all parts of our culture -- so much so that we often take the actual ideas and access to them for granted. Would you believe that Einstein's "Does the Inertia of a Body Depend Upon Its Energy Content?" remains behind a paywall, despite being more than 100 years old? Here we show 10 famous papers that have achieved a similar "rockstar" status in the public imagination yet are still subject to paywalls. At Authorea, we believe that open communication is the key to advancing research. We're working every day to make it possible for researchers to have full control over their work and its dissemination. 

Example of an “astronomer friendly” deluxe table formatted with Authorea. This is the example posted by Jess K on astrobetter in How to Make Awesome Latex Tables. For this table we are using the LaTeXML engine, have a look at this quick tutorial if you are a prospective Authorea power LaTeX user. cccccccc 1/3 Bright & & 4.24 ⋅ 10−4 & 6.19 && 96.97 & & & [0.3,3] & & & 1.77 & & 96.7 & 1.9σ 2/3 Dim & & 4.26 ⋅ 10−4 & 4.48 & & 52.77

IN A NUTSHELL: Gravitational waves are ripples in the fabric of space time produced by violent events, like merging together two black holes or the explosion of a massive star. Unlike light (electromagnetic waves) gravitational waves are not absorbed or altered by intervening material, so they are very clean proxies of the physical process that produced them. They are expected to travel at the speed of light and, if detected, they could give precious information about the cataclysmic processes that originated them and the very nature of gravity. That’s why the direct detection of gravitational waves is such an important endeavor. Definitely worthy of a Nobel prize in physics.

_This is the author’s version of the work. It is posted here for personal use, not for redistribution. The definitive version was published in Nature on 04 January 2016, DOI:10.1038/nature16171_ Magnetic fields play a role in almost all stages of stellar evolution . Most low-mass stars, including the Sun, show surface fields that are generated by dynamo processes in their convective envelopes . Intermediate-mass stars do not have deep convective envelopes , although 10% exhibit strong surface fields that are presumed to be residuals from the stellar formation process . These stars do have convective cores that might produce internal magnetic fields , and these might even survive into later stages of stellar evolution, but information has been limited by our inability to measure the fields below the stellar surface . Here we use asteroseismology to study the occurrence of strong magnetic fields in the cores of low- and intermediate-mass stars. We have measured the strength of dipolar oscillation modes, which can be suppressed by a strong magnetic field in the core , in over 3,600 red giant stars observed by . About 20% of our sample show mode suppression but this fraction is a strong function of mass. Strong core fields only occur in red giants above 1.1 solar masses (1.1), and the occurrence rate is at least 60% for intermediate-mass stars (1.6–2.0), indicating that powerful dynamos were very common in the convective cores of these stars.

Social media is generally discouraged in science today. A recent article, "I'm a serious academic, not a professional Instagrammer" castigated scholars with active online social lives. Most advisors won't ask you to "tweet out our paper" or "write a blog post about our findings" and it's likely that you'd close Twitter or Reddit if your colleague or advisor walked by. Some conferences have taken it so far as to enforce a "no tweeting" policy. But social networking is here to stay and will likely become even more integrated into our lives and research.

The 2016 Olympics have captivated the world -- records are breaking, medal counts are climbing, and nationalism is roaring! It's all very exciting. It should get even more exciting in Tokyo in four years time at the 2020 games when several new sports are scheduled to be introduced, including surfing, skateboarding, and... research! Okay, research definitely won't be included, but what if it were? How would each country fare? Here we look at research output vs. Olympic prowess on a per-country basis.

PREVIOUS “ASTROBIOLOGY” – NEXT “INTERACTIVE DRAKE EQUATION” With an estimated diameter of 93 billion light years and age of 13.7 billion years, our Universe is an astonishingly big place that’s been around for a very long time. When you look up, you only get a short glimpse at a fraction of the hundreds of billions of stars that populate our Galaxy (which in turn is one of hundreds of billions in the cosmos), but it’s enough to make you wonder: “Are we alone?” In the previous post we discussed the likelihood of the emergence of (intelligent) extraterrestrial life. Starting from the famous Drake Equation and using recent findings in astrophysics and some astrobiology arguments, we obtained a simple way to estimate N, the number of communicative civilizations in our Galaxy. This reduces to the product of the chance of emergence of intelligent life fi and the longevity L (in years) of a civilization’s communicative phase: N \approx \, {4}\, f_i \, L \,.

The peer review process is a pillar of modern research, verifying and validating the ever-increasing output of academia. While the academic community agrees that some process of review is necessary to ensure the quality of published research, not everybody agrees on the best approach. In particular, doubts have been cast on the current peer review process: most journals select and assign one anonymous referee (few journals assign two or more) who is in charge of reviewing the manuscript and recommending it for publication or rejection. The argument is that the current peer review system is becoming inadequate. Here’s an incomplete list of issues: - Research is increasingly collaborative, complex, and specialized. Thus, it is less likely that one or a few referees can have the necessary expertise (and time) to properly handle many modern articles. Simply put, THE AVERAGE NUMBER OF AUTHORS PER PAPER HAS BEEN STEADILY INCREASING IN THE LAST FEW DECADES, WHILE THE NUMBER OF REFEREES PER PAPER HAS NOT. - “Publication pressure” means there is a growing number of papers to referee. This need can not be easily matched since scholars, who need to constantly publish and engage in the “funding race”, HAVE LESS TIME TO BE DEDICATED TO COMMUNITY SERVICE (in a “single referee” system the review process is very time consuming). - Given the anonymous nature of peer reviewing manuscripts, RESEARCHERS WHO VOLUNTEER THEIR VALUABLE TIME AND KNOWLEDGE DON’T GET RECOGNITION for contributing. - Cases of peer-review scams, mostly from predatory open access publishers, have grown in number over recent years. A number of journals, exploiting the publication pressure climate, accept and publish articles with LITTLE OR NO PEER REVIEW. - Similarly, there are reports of fraud in which authors review their own or close friends’ manuscripts to give favorable reviews .

In order to estimate the number of technological civilizations that might exist among the stars, in 1961 Frank Drake proposed a simple equation. Below you can play with an interactive plot showing the number N of communicative civilizations in the Galaxy as function of their average longevity L. You can change the values of the various parameters using the sliders.

What is the ArXiv?The arXiv, or actually, ar\(\chi\)iv (pronounced "archive", since \(\chi\) = "chi" 🤓 ) is the most popular preprint repository in the world. (Read: What is a preprint?) It was started in 1991 by physicist Paul Ginsparg (hi Paul! 👋 ) to become a way to quickly and freely give the scientific community access to the submission-ready research papers, as e-prints. While the arXiv initially covered only the fields of physics and astronomy, it grew over time to encompass other fields, such as computer science, quantitative biology, statistics, and quantitative finance. The rise of arXiv has been mostly limited to fields that use LaTeX, a typesetting system for math-heavy documents. This is because:  (1) the most efficient way to submit papers to arXiv is by uploading a LaTeX file which gets compiled to PDF, and (2) pre-printing has historically been a practice popular in the hard sciences --- at CERN, it was performed via inter-library exchange of scanned papers before the web even existed \cite{pepe2005cern}. However, in recent years, pre-prints are catching on as a free (and legal!) mechanism to openly and quickly share research also in the life sciences (see ASAPbio, and BiorXiv, for example).How do ArXiv and Authorea compare?At first glance, ArXiv and Authorea may not seem related to one another. ArXiv is a content repository, while Authorea is a content creation system. However, Authorea - with the launch of a number of publishing features - is quickly becoming an open repository, as well. We think that the open research repository of the future will have a lot of the features and traits that Authorea is developing. Here's why:1. A scholarly repository is more than a PDF dumpThere is growing consensus in scholarly communication circles that academic publishing needs to move "beyond the PDF" (see the manifesto of Force 11). PDFs are a great portable format for printing, but they are not the best format to share, discuss, and read on the web. Every article on arXiv is a PDF (built from LaTeX). As such, it is static, 2-dimensional and non-actionable. It is not a stretch to say that a paper in PDF is merely a digital photograph of a piece of paper. We can, and are doing, better than that. Authorea's repository is a collection of Open Access and Open Science (i.e. data driven) web native papers.