Topics (203k) Articles (205k) Users (306) Discussions (237) Comments (383) Files (715) New article
Angular velocity is a measure of the rate at which an object rotates or revolves around a specific axis. It quantifies how quickly an angle changes as a function of time. Angular velocity is typically denoted by the symbol \(\omega\) (omega) and is expressed in radians per second (rad/s), although it can also be represented in degrees per second or other units depending on the context.
Angular resolution refers to the ability of an optical system, such as a telescope or microscope, to distinguish between two closely spaced objects. It is defined as the smallest angular separation between two points that can be resolved or distinguished by the system. In practical terms, a higher angular resolution means that the optical system can discern finer details at a given distance.
Angular frequency, often denoted by the Greek letter omega (\(\omega\)), is a measure of how rapidly an object oscillates or rotates in a periodic motion. It is defined as the rate of change of the angular displacement with respect to time, and it is commonly used in physics and engineering to describe systems that exhibit harmonic motion.
Angular distance is a measure of the angle between two points or directions, typically on a sphere or a circle. It is expressed in degrees or radians and represents the shortest angle through which one must rotate to align one point or direction with another. In a spherical context, angular distance can be calculated using various formulas depending on the coordinates of the points involved.
The angle of parallelism, often denoted as \( \Pi(r) \), is a concept from hyperbolic geometry that describes the angle between a given line and the "closest" parallel lines that pass through a point not on the line.
In aerodynamics, the angle of incidence refers to the angle between the chord line of an airfoil (such as a wing) and the relative wind or the airflow that is approaching it. It is a critical parameter in determining how an airfoil generates lift. The chord line is an imaginary straight line that connects the leading edge (front) of the airfoil to the trailing edge (back).
Units of angle are measures used to quantify the size of an angle. The most commonly used units of angle are: 1. **Degrees**: One complete revolution (360 degrees) corresponds to a full circle. Each degree is divided into 60 minutes (denoted as 60') and each minute is further divided into 60 seconds (denoted as 60"). 2. **Radians**: This is the standard unit of angular measure in mathematics and engineering.
Angle measuring instruments are devices used to determine the angle between two surfaces or lines. These instruments are essential in various fields, including engineering, architecture, surveying, and machining, where precise angle measurement is crucial for accuracy and quality. Here are some common types of angle measuring instruments: 1. **Protractor**: A simple tool typically made of plastic or metal, protractors are used to measure angles in degrees. They usually have a semicircular or circular scale.
"Wir schaffen das," which translates to "We can do it" or "We will manage it," is a phrase famously associated with German Chancellor Angela Merkel. She used it in 2015 to express confidence in Germany's ability to handle the influx of refugees and migrants during the European migrant crisis. The phrase became emblematic of Germany's approach to immigration and refugee policy at the time, highlighting both the challenges and the humanitarian commitments involved.
Willi Jentzsch is not a widely recognized public figure, so there may not be extensive information available about him.
The Third Merkel Cabinet refers to the government of Germany that was in power from December 2013 to March 2018, under the leadership of Chancellor Angela Merkel. This cabinet was formed following the federal elections held in September 2013, in which Merkel's party, the Christian Democratic Union (CDU), won a plurality but not an outright majority.
The Second Merkel cabinet refers to the government of Germany led by Chancellor Angela Merkel from 2009 to 2013. This cabinet was formed following the federal election held on September 27, 2009, in which Merkel's party, the Christian Democratic Union (CDU), along with its Bavarian sister party, the Christian Social Union (CSU), won a majority in the Bundestag (German federal parliament). They formed a coalition government with the Free Democratic Party (FDP).
Angela Merkel, who served as the Chancellor of Germany from 2005 to 2021, has a complex public image that evolved over her time in office. Here are some key aspects that characterize her public perception: 1. **Competence and Stability**: Merkel is often perceived as a competent and pragmatic leader.
The Petersberg Climate Dialogue is an informal diplomatic meeting aimed at fostering international collaboration on climate change issues. It was initiated by Germany in 2010 and typically involves ministers from various countries, particularly those involved in the United Nations Framework Convention on Climate Change (UNFCCC) negotiations. The dialogue provides a platform for participants to discuss key climate policy issues, share best practices, and coordinate actions in the lead-up to major international climate conferences, such as the annual Conference of the Parties (COP).
The Normandy Format refers to a diplomatic dialogue format that was established to address the ongoing conflict in Eastern Ukraine, particularly following the annexation of Crimea by Russia in 2014. This format includes representatives from four main parties: Ukraine, Russia, Germany, and France. The Normandy Format was initiated during a meeting in Normandy, France, on June 6, 2014, commemorating the 70th anniversary of the D-Day landings in World War II.
The "Merkel-Raute" refers to a hand gesture popularized by Angela Merkel, the former Chancellor of Germany. It involves placing the palms of both hands together in front of the body, forming a diamond shape with the fingers pointing upwards. This gesture became iconic during her time in office and was often associated with her calm and composed political style.
Ludwig Kasner was the father of Angela Merkel, the former Chancellor of Germany. He was born in 1926 and passed away in 2011. Ludwig Kasner was a physicist and played a significant role in Merkel's early life, influencing her education and career. Merkel's family background has occasionally been a point of interest, particularly in discussions about her upbringing in East Germany.
Angela Merkel, the former Chancellor of Germany, made numerous international trips during her time in office from 2005 to 2021. While I can't provide a comprehensive list of all her trips, I can highlight some key visits and summits that were significant: 1. **First Visit to the United States (2006)** - Meeting with President George W. Bush.
Angela Merkel, the former Chancellor of Germany, has received numerous awards and honors throughout her career for her leadership, contributions to public service, and impact on global politics. Here is a list of some notable awards and honors she has received: 1. **Charlemagne Prize** (2008) - Awarded for her contribution to European unity. 2. **Desmond Tutu Peace Prize** (2012) - Recognized for her commitment to democracy and human rights.
Joachim Sauer is a German chemist, known primarily for his work in the field of theoretical chemistry and catalysis. He is also notable for being the husband of Angela Merkel, the former Chancellor of Germany. Sauer has had a distinguished academic career, serving as a professor and researcher in various institutions. His contributions to science, particularly in the study of chemical processes and reactions, have been recognized within the scientific community.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - Infinitely deep tables of contents:
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





