Akiva Yaglom is a prominent figure in the field of mathematics and mathematical physics, particularly known for his contributions to the areas of geometry, mathematical physics, and applied mathematics. He was a Soviet mathematician who made significant advances in the study of geometric structures and their applications. One of his notable works involved the development of various geometric methods and their implications in physics, particularly in understanding concepts related to relativity and quantum mechanics.
Gallon per watt-hour (gal/Wh) is a unit of measurement that expresses the quantity of energy produced or consumed in relation to the volume of fuel used. Specifically, it measures how many gallons of fuel are needed to generate one watt-hour of electrical energy. This metric can be particularly useful in evaluating the efficiency of power generation systems, especially those that rely on liquid fuels, such as gasoline or diesel generators.
Mariolina Padula is an Italian artist known for her work in sculpture and installation art. Her pieces often explore themes of intimacy, memory, and the human experience, using natural materials and organic forms.
Jurimetrics is an interdisciplinary field that applies quantitative and statistical methods to legal problems and issues. It combines elements of law, mathematics, statistics, and computer science to analyze legal data and facilitate legal decision-making. Jurimetrics can include the use of data analysis to study legal trends, predict outcomes of legal cases, evaluate the effectiveness of laws, and improve legal processes.
Paul Richard Heinrich Blasius (1883-1970) was a German engineer and physicist, best known for his contributions to fluid dynamics and aerodynamics. One of his significant achievements is the Blasius solution, which describes the flow of a viscous fluid over a flat plate, providing important insights into boundary layer theory. His work laid important foundations for understanding laminar flow and the behavior of fluids in various engineering applications.
R. Cengiz Ertekin is a prominent figure in the field of engineering and academia, particularly known for his contributions to mechanical engineering and fluid mechanics. He has published numerous research papers and has been involved in various educational initiatives, often holding significant positions in academic institutions.
Samar Mubarakmand is a Pakistani nuclear scientist known for his contributions to the development of Pakistan's nuclear technology and weapons program. He played a significant role in the country's nuclear tests conducted in May 1998, which made Pakistan the seventh nation in the world to possess nuclear weapons. Mubarakmand has also been involved in various scientific and technological initiatives in Pakistan and has held positions in academic and governmental institutions. His work primarily focuses on nuclear engineering and physics.
The Sir Edmund Whittaker Memorial Prize is an award given in recognition of outstanding contributions to the field of mathematics or mathematical physics. It is named after Sir Edmund Whittaker, a notable mathematician and physicist known for his work in various areas of mathematics, including analysis and celestial mechanics. The prize is typically awarded to individuals or groups who have made significant advancements or achievements in mathematics, often in an academic context.
The Bendixson–Dulac theorem is a result in the field of dynamical systems and differential equations. It provides criteria to determine the existence of periodic orbits in a planar autonomous system of ordinary differential equations. Specifically, the theorem helps to identify non-existence of periodic orbits in a given planar system, which can be useful for analyzing the behavior of the system.
The Liouville–Neumann series is a mathematical series used in the context of solving linear differential equations, specifically in the theory of differential operators. It is closely associated with the study of linear time-dependent systems and can be used for analyzing the solutions of linear ordinary differential equations (ODEs). **Definition and Context:** Consider a linear differential operator \( L(t) \), which typically depends on time \( t \).
Peixoto's theorem is a result in the theory of dynamical systems, specifically regarding the behavior of flow on two-dimensional manifolds. Named after the Brazilian mathematician M. Peixoto, the theorem classifies the vector fields on a two-dimensional manifold in terms of their qualitative behavior. The central idea of Peixoto's theorem is to provide conditions under which the local behavior of a dynamical system can be classified.
The Expected Utility Hypothesis (EUH) is a fundamental concept in economics and decision theory that describes how rational individuals make choices under conditions of uncertainty. According to this hypothesis, individuals evaluate risky options by considering the expected utility rather than the expected outcome or monetary value alone. **Key Concepts of the Expected Utility Hypothesis:** 1. **Expected Utility**: This refers to the sum of the utilities of all possible outcomes, each weighted by its probability of occurrence.
In the context of probability, a lottery refers to a game of chance where players purchase tickets for the opportunity to win prizes based on random draws. The outcome of a lottery is typically determined by a random selection of numbers or symbols, and participants hope that their chosen combinations match those drawn. Key elements of lottery probability include: 1. **Odds**: The chances of winning a prize in a lottery game, often expressed as a ratio (e.g., 1 in X).
Economic voting is a concept in political science that describes how voters' perceptions of and experiences with the economy influence their voting behavior, particularly during elections. The underlying idea is that voters use their evaluations of economic conditions as a key criterion in deciding which candidates or political parties to support.
Interprovincial migration in Canada refers to the movement of individuals or families from one province or territory to another within the country. This type of migration can occur for a variety of reasons, including job opportunities, educational pursuits, lifestyle changes, family reunification, or seeking a different climate or environment. Key points related to interprovincial migration in Canada: 1. **Population Movement**: Interprovincial migration contributes significantly to population changes and demographic patterns across provinces and territories.
Kriging is a statistical interpolation technique used extensively in geostatistics, spatial analysis, and various fields such as mining, environmental science, and agriculture. It allows for the estimation of unknown values at specific locations based on known data points, taking into account both the distance and the spatial arrangement of the points. Developed by the South African engineer Danie G. Krige in the 1950s, Kriging uses a method based on the spatial correlation of the data.
Roussos Dimitrakopoulos is a Greek politician and member of the New Democracy party. He has served in various political capacities, including as a member of the Hellenic Parliament. Known for his involvement in local and national politics, Dimitrakopoulos has focused on issues pertinent to his constituents and the broader Greek community.
The reference class problem is a concept often discussed in the context of probability, forecasting, and decision-making. It arises when trying to make predictions based on past events by selecting a suitable reference class or category to which a current situation belongs. The problem stems from the challenge of selecting the right reference class, as different choices can lead to different probabilities and conclusions about the likelihood of future events.
The "List of Guidances for Statistics in Regulatory Affairs" typically refers to a compilation of documents and guidelines provided by regulatory agencies that address statistical methods and best practices for the design, analysis, and interpretation of clinical trials and other research studies in the context of drug and device approval. These guidelines are essential to ensure that statistical analyses meet the necessary standards to support regulatory submissions.
The "Preventable fraction among the unexposed" (also known as the "attributable fraction among the unexposed") is a measure used in epidemiology to quantify the proportion of disease in a population that can be attributed to a specific risk factor within the group of individuals who are not exposed to that risk factor.
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 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. - 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





