Frank Spitzer could refer to different individuals, depending on the context. One notable Frank Spitzer is Frank Spitzer (1928–2017), an American mathematician known for his work in probability theory and mathematical statistics. He is noted for his contributions to various areas, including the field of stochastic processes.
John Muth is known for his contributions to economics, particularly in the fields of finance and behavioral economics. He is best known for his development of the Rational Expectations Hypothesis, which suggests that individuals form their expectations about the future based on all available information, and that these expectations are, on average, correct. Muth's work has had a significant impact on economic theory and has influenced various areas such as macroeconomics and financial markets.
In mathematics, an inequality is a relation that shows the relative size or order of two values. It indicates that one value is greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities are an essential part of various mathematical concepts and applications, including algebra, calculus, and optimization. There are several types of inequalities, often denoted by specific symbols: 1. **Less than (<)**: Indicates that one quantity is smaller than another.
Georg Bohlmann is a name that may refer to different individuals, but it's likely that you are asking about a notable figure in a specific field. Without further context, it's difficult to provide a precise answer. One possibility is Georg Bohlmann, a prominent researcher in the field of plant sciences, particularly known for his work on the biosynthesis of natural products, including terpenes and other compounds derived from plants.
George Uhlenbeck (born December 6, 1900 – died October 31, 1988) was a notable Dutch-American physicist best known for his contributions to quantum mechanics. He is particularly recognized for his role in the development of the concept of spin in quantum theory, which describes an intrinsic form of angular momentum possessed by elementary particles.
Gesine Reinert is a notable figure in the field of computer science, particularly known for her work in bioinformatics and computational biology. As of my last knowledge update, she has been involved in developing algorithms and methods for analyzing biological data, particularly related to DNA, RNA, and protein sequences. Reinert has contributed to various research projects and has published numerous papers in scientific journals, focusing on applications of computational techniques to solve biological problems.
Gheorghe Mihoc is a Romanian mathematician known for his work in the fields of mathematical analysis and differential equations. He has made significant contributions to various areas of mathematics and is recognized for his research and academic work.
Gordon Douglas Slade is a notable figure in the field of mathematics, particularly known for his work in mathematical logic and set theory. He has contributed to various areas, including model theory and the study of cardinal functions.
Greg Lawler is a prominent mathematician known for his work in probability theory and mathematical physics. He is particularly recognized for his contributions to the field of random walks, percolation theory, and the study of two-dimensional critical phenomena. Lawler has also written influential texts on the subject, including his work on the intersection of probability theory and complex analysis. In addition to his research, he has been involved in education and has held academic positions at various institutions.
Hans Föllmer is a well-known figure in the field of mathematics, particularly recognized for his contributions to probability theory and mathematical finance. He has published extensively on topics related to stochastic processes, risk management, and the mathematical underpinnings of finance. Föllmer is also associated with the development of various concepts in stochastic calculus and has made significant contributions to the understanding of financial markets through mathematical modeling.
Hans Kramers was a Dutch physicist known for his work in theoretical physics, particularly in the fields of quantum mechanics and statistical mechanics. He made significant contributions to the understanding of various physical phenomena and helped develop several important concepts in physics. One of his notable contributions is the Kramers-Kronig relations, which relate the real and imaginary parts of a complex function that is analytic in a certain domain.
Hans Reichenbach (1891–1953) was a prominent German philosopher and a key figure in the development of logical positivism and the philosophy of science. He was associated with the Berlin Circle, a group of philosophers and scientists that sought to synthesize scientific knowledge with logical analysis. Reichenbach's work focused on the philosophy of space and time, the theory of probability, and sciences like physics and epistemology.
Harald Cramér (1893–1987) was a prominent Swedish mathematician and statistician known for his significant contributions to probability theory and statistics. He is best known for developing the Cramér-Rao bound, which provides a lower bound on the variance of estimators, and for his work on the Cramér–Wold theorem, which relates to the characterization of multivariate distributions.
Harry Kesten is a prominent American mathematician known for his significant contributions to probability theory and statistical mechanics. He is particularly noted for his work on branching processes, percolation theory, and the study of stochastic processes. Kesten has authored numerous papers and has been involved in various academic activities, including teaching and mentoring students in the field of mathematics.
István Gyöngy is a notable Hungarian mathematician recognized for his contributions in the field of mathematical analysis, particularly in functional analysis and operator theory. He has authored and co-authored numerous research papers and has been involved in academic activities, including teaching and mentoring students in mathematics.
István Hatvani, also known as Stephen Hatvany, was a Hungarian mathematician and physicist, known for his contributions to various fields, including algebra, geometry, and theoretical physics. He is particularly noted for his work on mathematical problems and his influence on the development of mathematics in Hungary.
J. Laurie Snell is known for his work in statistics and for being a prominent figure in the field of probability. He is particularly noted for his contributions to mathematical biology and statistics education. Snell is also recognized for his involvement in writing textbooks and resources that focus on statistics and probability, making complex concepts more accessible to students and educators. One of his notable works is "Introduction to Probability," which is often used in academic settings.
Jacob Wolfowitz is a noted figure in the fields of statistics and economics. He is particularly known for his contributions to the field of statistical decision theory and for his work on the foundations of statistical inference. One of the notable concepts associated with his name is the **Wolfowitz criterion** for statistical decision-making, which relates to hypothesis testing and provides criteria for making decisions based on statistical data. He also contributed to areas such as Bayesian statistics and graphical models.
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