In mathematics, the term "secondary polynomials" is not a standard term and may not have a specific definition universally recognized across mathematical literature. It might refer to various concepts depending on the context in which it is used.
A trinomial is a polynomial that consists of three terms. It is typically expressed in the standard form as: \[ ax^2 + bx + c \] where \( a \), \( b \), and \( c \) are constants (real numbers), and \( x \) is the variable. The term "trinomial" is derived from "tri," meaning three, indicating that it has three distinct terms.
A unimodular polynomial matrix is a matrix of polynomials with coefficients in a polynomial ring such that it has a multiplicative inverse that is also a polynomial matrix.
"Mathematics and the Imagination" is a phrase that can refer to various interpretations but is most notably associated with a book by Edward Kasner and James Newman, published in the early 20th century. The book seeks to explore the beauty and creativity inherent in mathematics, illustrating mathematical concepts through imaginative and intuitive explanations. It covers a range of topics, from basic arithmetic to advanced concepts such as infinity, higher-dimensional spaces, and the nature of mathematical thought.
**From Here to Infinity** is a popular science book written by mathematician and author Ian Stewart. First published in 1996, the book explores a variety of mathematical concepts, theories, and paradoxes, making them accessible and engaging to a general audience. The title reflects the book's focus on the concept of infinity, which has fascinated mathematicians and philosophers for centuries.
"How Not to Be Wrong: The Power of Mathematical Thinking" is a popular book written by Jordan Ellenberg, published in 2014. The book explores how mathematical principles and reasoning can be applied to various real-world situations, demonstrating that mathematics is not just an abstract discipline but a powerful tool for understanding and navigating everyday life.
"How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics" is a book written by mathematician Ben Orlin. Published in 2015, the book takes a unique approach to exploring mathematical concepts by using baking as a metaphor. Orlin combines humor, storytelling, and straightforward explanations to make complex mathematical ideas more accessible and engaging. The book features various mathematical topics, including geometry, algebra, calculus, and more, all illustrated with baking-related analogies.
"The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography" is a popular science book written by Simon Singh, published in 1999. The book explores the history and development of cryptography, examining how codes and ciphers have been used throughout history for communication and security. It delves into famous historical codes, such as the Enigma machine used during World War II, and discusses modern cryptographic techniques, including those based on quantum mechanics.
"Mars and the Mind of Man" is a book by science fiction author and futurist David Brin, published in 1992. The book explores the relationship between humanity and the planet Mars, focusing on both the scientific and cultural aspects of Mars exploration. Brin delves into the implications of potential human colonization of Mars, the search for extraterrestrial life, and how our understanding of Mars reflects our own human nature and aspirations.
The phrase "Physicist and Christian" generally refers to a person who identifies as both a physicist—a scientist who specializes in the study of physics, which is the natural science that studies matter, its motion and behavior through space and time, and the related concepts of energy and force—and a Christian, someone who follows the teachings of Jesus Christ and adheres to the Christian faith. The relationship between science and religion, particularly Christianity, has been a topic of extensive discussion and debate.
"Physics for Future Presidents: The Science Behind the Headlines" is a book written by Richard A. Muller, a physicist and professor at the University of California, Berkeley. The book aims to provide a concise and accessible overview of the fundamental principles of physics in the context of contemporary issues and challenges that political leaders, particularly presidents, may face. Muller explores a range of topics, including energy policy, global warming, nuclear weapons, and the implications of scientific advances on society.
"The Birth and Death of the Sun" typically refers to the life cycle of the Sun, our star, which is modeled through the processes of stellar evolution. **Birth of the Sun:** The Sun was born about 4.6 billion years ago from the gravitational collapse of a region within a large molecular cloud composed of gas and dust. This process led to the formation of a protostar, which eventually accumulated enough mass to start nuclear fusion in its core.
Biological dispersal refers to the movement of organisms from one location to another, which can affect their distribution, population dynamics, and community structure. This process can occur at various scales and involves different modes of movement, such as: 1. **Seed Dispersal**: In plants, seeds may be dispersed by natural means such as wind, water, or animals.
"The Flying Circus of Physics" is a book written by Jearl Walker, first published in 1975. It presents various physics concepts through a collection of amusing and thought-provoking problems and scenarios. The book is unique in its approach, as it uses a whimsical style to make complex physical principles more accessible and engaging for readers. The title suggests a playful exploration of physics, evoking images of a circus that features surprising, entertaining, and often counterintuitive demonstrations of physical phenomena.
"The Mysterious Universe" can refer to various topics, including the vastness and complexity of the cosmos as a subject of scientific inquiry and philosophical contemplation. It often encompasses questions about the nature of dark matter and dark energy, the potential for extraterrestrial life, black holes, the origins of the universe, and the laws of physics that govern cosmic phenomena.
Ecological connectivity refers to the functional relationships between ecosystems and the ability of species to move and migrate across landscapes. It emphasizes the importance of natural and semi-natural habitats being linked together to enable ecological processes such as gene flow, species migration, and the dispersal of organisms. Key aspects of ecological connectivity include: 1. **Habitat Corridors**: These are natural or restored pathways that facilitate movement between fragmented habitats, allowing wildlife to access essential resources like food, water, and breeding sites.
Behavioral sink is a term coined by the animal behaviorist John B. Calhoun to describe the phenomenon where overcrowding in a population can lead to a collapse of social norms and behaviors, resulting in various pathologies and detrimental social outcomes. Calhoun studied this concept through a series of experiments with rodents in confined spaces, using a controlled environment he referred to as "Universe 25.
Orcas, also known as killer whales (scientific name: Orcinus orca), are marine mammals belonging to the dolphin family, Delphinidae. They are highly intelligent, socially complex, and widespread, inhabiting oceans and seas around the globe. Orcas are categorized into different ecotypes or types based on various behavioral, dietary, and morphological traits. This classification helps scientists understand the diverse roles that orcas play in marine ecosystems. ### Types of Orcas 1.
The Generalized Lotka–Volterra equations are a set of nonlinear differential equations used to describe the dynamics of biological systems in which multiple species interact, particularly in the context of predator-prey interactions and competition models. These equations extend the traditional Lotka-Volterra model by allowing for more complex interactions and dependencies among species. The classic Lotka-Volterra equations typically involve two species: one representing a predator and the other its prey.
In population ecology, natality refers to the rate of birth or reproduction in a population. It is a crucial factor in understanding population dynamics because it directly impacts the growth and size of a population over time.
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





