In mathematics, a relation \( R \) on a set \( A \) is called symmetric if, for any elements \( a \) and \( b \) in \( A \), whenever \( a \) is related to \( b \) (i.e., \( (a, b) \in R \)), it also holds that \( b \) is related to \( a \) (i.e., \( (b, a) \in R \)).
The crystal system is a classification of crystals based on their internal symmetry and geometric arrangement. In crystallography, scientists categorize crystals into seven distinct systems according to their unit cells—the smallest repeating unit that reflects the symmetry and structure of the entire crystal. The seven crystal systems are: 1. **Cubical (or Isometric)**: Characterized by three equal axes at right angles to each other. Example: salt (sodium chloride).
The term "Einstein Group" doesn't refer to a widely recognized concept in academia or other fields as of my last update in October 2023. However, it could relate to several different contexts depending on what you're referencing: 1. **Scientific Community**: It might refer to a group of physicists or researchers who focus on topics related to Einstein's theories, especially in the realms of relativity or quantum mechanics.
Isometry is a concept in mathematics and geometry that refers to a transformation that preserves distances between points. In other words, an isometric transformation or mapping maintains the original size and shape of geometric figures, meaning the distances between any two points remain unchanged after the transformation. There are several types of isometric transformations, which include: 1. **Translations**: Moving every point of a figure the same distance in a specified direction.
Finite spherical symmetry groups are groups of rotations (and potentially reflections) that preserve the structure of a finite set of points on a sphere. These groups are closely related to the symmetries of polyhedra and can be understood in the context of group theory and geometry. Here are some of the main finite spherical symmetry groups: 1. **Cyclic Groups (C_n)**: These groups represent the symmetry of an n-sided regular polygon and have order n.
The Murnaghan–Nakayama rule is a tool used in representation theory, specifically in the context of symmetric functions and the study of representations of the symmetric group. This rule provides a method for calculating the characters of the symmetric group when restricted to certain subgroups, particularly the Young subgroups.
The Poincaré group is a fundamental algebraic structure in the field of theoretical physics, particularly in the context of special relativity and quantum field theory. It describes the symmetries of spacetime in four dimensions and serves as the group of isometries for Minkowski spacetime. The group includes the following transformations: 1. **Translations**: These are shifts in space and time.
In mathematics, symmetry refers to a property where a shape or object remains invariant or unchanged under certain transformations. These transformations can include operations such as reflection, rotation, translation, and scaling. Essentially, if you can perform a transformation on an object and it still looks the same, the object is said to possess symmetry.
"The Ambidextrous Universe" is a book written by physicist Robert Gilmore, published in 1992. The book explores the concept of symmetry in physics, particularly the idea of parity—a property describing how physical phenomena behave under spatial inversion. One of the central themes of the book is the idea that the universe can be seen as having both a "left-handed" and a "right-handed" aspect, reflecting the symmetry properties of physical laws.
Transformation geometry is a branch of mathematics that focuses on the study of geometric figures and their properties under various transformations. These transformations can change the position, size, or orientation of the figures, while often preserving some of their fundamental properties. Some of the primary types of transformations in geometry include: 1. **Translation**: Moving a figure from one place to another without changing its shape, size, or orientation. This is done by shifting every point of the figure a certain distance in a specified direction.
A triptych is a work of art that is divided into three sections or panels. These panels are usually hinged together and can be displayed either open or closed. Triptychs have been used in various forms of art throughout history, particularly in painting, but they can also be found in sculpture and photography. Traditionally, triptychs were common in medieval Christian art and often depicted religious scenes, such as altarpieces in churches.
Zimmer's conjecture is a significant hypothesis in the field of mathematics, particularly in the areas of differential geometry, group theory, and dynamical systems. Proposed by Robert Zimmer in the 1980s, the conjecture suggests that any smooth action of a higher-rank Lie group on a compact manifold admits some form of rigidity.
Notably, the password is hardcoded and its hash is stored in the JavaScript itself. The result is then submitted back via a POST request to /cgi-bin/goal.cgi.
TODO: how is the SHA calculated? Appears to be manual.
The JavaScript of each website appears to be quite small and similarly sized. They are all minimized, but have reordered things around a bit.
First we have to know that the Wayback Machine adds some stuff before and after the original code. The actual code there starts at:
ap={fg:['MSXML2.XMLHTTP
and ends in:
ck++;};return fu;};
We can use a JavaScript beautifier such as beautifier.io/ to be abe to better read the code.
It is worth noting that there's a lot of <script> tags inline as well, which seem to matter.
Further analysis would be needed.
Scrapped justdropped data, patched:
+++ b/cia-2010-covert-communication-websites/cdx-post.sh
@@ -1,7 +1,7 @@
 #!/usr/bin/env bash
 # Post process the output of cdx.sh to enrich IDs even further, and reconstruct easier to Web Archive inspect domain names.
-grep -P -e '([^,)]+)\)\/\1\.swf|\)/[^/]+.jar|([^,)]+),([^,)]+),([^,)]+)\)/cgi-bin/[^/]+\.cgi' "$1" |
-  sed -r 's/\).*//' | awk -F, '{ printf("%s.%s\n", $2, $1) }' | uniq -c | awk '$1 == 1{ print $2 }' | tee $1.post
+grep -P -e '([^,)]+)\)\/\1\.swf|\)/[^/]+.jar|([^,)]+),([^,)]+),([^,)]+)\)/cgi-bin/[^/]+\.cgi' "$1"|
+  sed -r 's/\).*//' | awk -F, '{ printf("%s.%s\n", $2, $1) }' | uniq -c | awk '{ print $2 }' | tee $1.post
and then:
./hupo-cdx-tor.sh out 'news|headline|internationali|mondo|mundo|mondi|iran|today' 2006 2022
web.archive.org/web/20110203041325/http://financecentraltoday.com/
web.archive.org/web/20110202221328/http://thenewsofpakistan.com/
web.archive.org/web/20050424123432/http://www.pokernewsweb.com/ likely legit in the intended emulated style
web.archive.org/web/20100923090646/http://mideasttoday.net/
web.archive.org/web/20100206221718/http://euronewsonline.net/
web.archive.org/web/20110208063146/http://news-and-sports.com/ Hit.
web.archive.org/web/20110202054628/http://intoworldnews.com/ hit.
web.archive.org/web/20110207171340/http://mydailynewsreport.com/ hit
web.archive.org/web/20050508220858/http://www.asianewsupdate.com/ this looks like the exact format of legitimate site the CIA was emulating. Copyright 2005, a CGI link to as: www.asianewsupdate.com:80/cgi-sys/FormMail.cgi There's a phone there 01 647-0910 so seems less likely?
2010. JAR unarchived. rss, split image
2010. JAR. Split header.
2011. JAR unarchived. Split header.
2011. JAR. a.newslink, a.newslinkalt.
2011. Arabic. RSS.
web.archive.org/web/20110129115400/http://kmirano.com/ shallow but off style? Has a kmirano.sfw... viewdns.info/iphistory/?domain=kmirano.com says 211.1.224.71 Japan NTT SmartConnect Corporation 2012-01-11
2011. JAR. Copyright 2008. Split header and other images. They are obsessed about CDMA (2G).
2011. JAR. split header, RSS.
2010. Suspicious. But no clear fingrenprint. Also not as shallow as others. Also Joomla based which would be novel.
2010. JAR.
newspapergateway.com/ web.archive.org/web/20110208070309/http://newspapergateway.com/ hard to tell but generally off. Has both JAR and SWF.
2011 Farsi. JAR. RSS.
2010 JAR. Split header, rss.
2011. English. Split header, RSS.
sandstormnews.com 2011, SWF Arabic. ul.rss-items > li.rss-item, split header
zerosandonesnews.com 2011. SWF Split header, ul.rss-items > li.rss-item
lasthournews.com web.archive.org/web/20100513182623/http://lasthournews.com/. Urdu. JAR at: web.archive.org/web/20100513182724/http://lasthournews.com/recent.jar. Split header images.
mynepalnews.com, split header images, ul.rss-items > li.rss-item, Unarchived jar:
whoisxmlapi WHOIS history April 11, 2011:
  • Created Date: March 6, 2008 00:00:00 UTC
  • Updated Date: March 7, 2011 00:00:00 UTC
  • Expires Date: March 6, 2014 00:00:00 UTC
  • Registrant Name: domainsbyproxy.com.
  • Registrant Organization: Domains by Proxy, Inc.
  • Registrant Street: 15111 N. Hayden Rd., Ste 160,
  • Registrant City: Scottsdale
  • Registrant State/Province: Arizona
  • Registrant Postal Code: 85260
  • Registrant Country: UNITED STATES
  • Name servers: NS29.WORLDNIC.COM|NS30.WORLDNIC.COM
Folowed by reuters registration in 2022.
whoisrequest.com/history/ mentions:
  • 1 Apr, 2008: Domain created*, nameservers added. Nameservers:
  • ns1.webhostingpad.com
  • ns2.webhostingpad.com
whoisxmlapi WHOIS history March 23, 2011:
  • Created Date: April 9, 2007 00:00:00 UTC
  • Updated Date: March 2, 2011 00:00:00 UTC
  • Expires Date: April 9, 2011 00:00:00 UTC
  • Registrant Name: domainsbyproxy.com
  • Name servers: dns1.registrar-servers.com|dns2.registrar-servers.com
whoisrequest.com/history/ mentions:
1 May, 2007: Domain created*, nameservers added. Nameservers:
  • ns1.qwknetllc.com
  • ns2.qwknetllc.com
whoisxmlapi WHOIS history March 22, 2011:
  • Registrar Name: NETWORK SOLUTIONS, LLC.
  • Created Date: January 26, 2010 00:00:00 UTC
  • Updated Date: November 27, 2010 00:00:00 UTC
  • Expires Date: January 26, 2012 00:00:00 UTC
  • Registrant Name: Corral, Elizabeth|ATTN ACTIVEGAMINGINFO.COM|care of Network Solutions
  • Registrant Street: PO Box 459
  • Registrant City: PA
  • Registrant State/Province: US
  • Registrant Postal Code: 18222
  • Registrant Country: UNITED STATES
  • Administrative Name: Corral, Elizabeth|ATTN ACTIVEGAMINGINFO.COM|care of Network Solutions
  • Administrative Street: PO Box 459
  • Administrative City: Drums
  • Administrative State/Province: PA
  • Administrative Postal Code: 18222
  • Administrative Country: UNITED STATES
  • Administrative Email: xc2mv7ur8cw@networksolutionsprivateregistration.com
  • Administrative Phone: 5707088780
  • Name servers: NS23.DOMAINCONTROL.COM|NS24.DOMAINCONTROL.COM

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact