Originalism is a legal philosophy and interpretation approach primarily associated with constitutional law. It posits that the Constitution should be understood according to the original meaning or intent of its framers at the time it was drafted and ratified. Originalists advocate that this interpretation helps maintain the rule of law and ensures that judicial decisions remain grounded in the text and context of the Constitution, rather than evolving societal standards or personal beliefs of judges.
"Scienter" is a legal term that refers to a person's knowledge of the wrongfulness or illegality of their actions. In the context of law, particularly in securities and fraud cases, scienter implies that a defendant acted with intent or a degree of knowledge that demonstrates a disregard for the truth. It is often associated with proving fraud, as plaintiffs must typically show that the defendant had an intent to deceive or defraud.
Landweber iteration is an iterative method used to solve certain types of inverse problems, particularly those that can be framed as ill-posed problems. It is commonly applied in the context of linear inverse problems where one seeks to recover an unknown vector \( x \) from a given measurement \( b \) that is related to \( x \) through a linear operator \( A \): \[ Ax = b.
In remote sensing, "collocation" refers to the process of aligning and combining data from different sources or datasets based on their spatial and temporal characteristics. This is often necessary to create a comprehensive picture of a particular area or phenomenon by integrating information from various sensors, platforms, and timeframes. Collocation typically involves: 1. **Spatial Alignment**: Ensuring that data from different sensors or sources align with each other geographically. This might involve correcting for differences in projection, scale, or resolution.
Isoline retrieval typically refers to the process of obtaining isolines (also known as contour lines) from spatial data. Isolines are lines that connect points of equal value, commonly used in geographic information systems (GIS), meteorology, and various fields of science and engineering. They are used to represent data such as elevation, temperature, pressure, and other continuous variables on a map.
The phase problem is a fundamental issue in the field of X-ray crystallography and other areas of wave physics, where the information about the phase of a wave is lost or not directly measurable. This problem stems from the fact that when a crystal is subjected to X-ray diffraction, the resulting intensity of the diffracted beams can be measured, but the phase of those beams cannot be directly observed.
Platinum has several isotopes, the most stable and naturally occurring ones being: 1. **Platinum-194 (^194Pt)**: This is the most abundant natural isotope of platinum, making up about 32% of natural platinum. 2. **Platinum-195 (^195Pt)**: This isotope accounts for approximately 34% of natural platinum. 3. **Platinum-196 (^196Pt)**: About 25% of natural platinum is in the form of this isotope.
Dubnium (Db) is a synthetic element with the atomic number 105. It has several known isotopes, most of which are highly radioactive and have relatively short half-lives. The most studied isotopes of dubnium include: 1. **Dubnium-263 (Db-263)**: This is the most stable isotope of dubnium, with a half-life of about 34 seconds. It decays primarily through alpha decay.
Caesium (Cs) has several isotopes, with the most stable and commonly known ones being: 1. **Cs-133**: This is the most stable isotope of caesium and is used as the standard for the definition of the second in the International System of Units (SI). Cs-133 has a half-life of stable, meaning it does not undergo radioactive decay.
Dysprosium has several isotopes, but the most notable ones are: 1. **Dysprosium-156 (Dy-156)**: This is the most abundant stable isotope of dysprosium, making up about 5.3% of natural dysprosium. 2. **Dysprosium-158 (Dy-158)**: Another stable isotope, it accounts for approximately 0.1% of natural dysprosium.
The Lorentz force is the force exerted on a charged particle moving through an electromagnetic field. It is named after the Dutch physicist Hendrik Lorentz.
Moscovium (Mc) is a synthetic element with the atomic number 115. As of my last knowledge update in October 2023, there are no stable isotopes of moscovium. The isotopes of moscovium that have been produced in laboratory settings are primarily radioactive and have very short half-lives.
Oganesson (Og) is a synthetic element with the atomic number 118. It is a member of the noble gases group and is highly unstable, with a very short half-life. As of my last knowledge update in October 2023, only a few isotopes of oganesson have been identified, and they are primarily characterized by their mass numbers.
Phosphorus has several isotopes, but the most important ones are: 1. **Phosphorus-31 (\(^31P\))**: This is the only stable isotope of phosphorus and constitutes 100% of naturally occurring phosphorus. It has 15 protons and 16 neutrons. 2. **Radioactive isotopes**: Phosphorus also has several radioactive isotopes, which are produced in laboratory settings or through nuclear reactions.
Silver has several isotopes, but the two most notable ones are: 1. **Silver-107 (\(^{107}\)Ag)**: This is the most stable and abundant isotope of silver, comprising about 51.8% of natural silver. Silver-107 has a nuclear spin of 1/2 and is used in various applications, including in certain types of nuclear magnetic resonance (NMR) spectroscopy.
Coherence theory in optics refers to the characteristics of light waves, particularly in terms of their phase relationships. It is a crucial concept in understanding the behavior of light, especially in applications such as interferometry, holography, and various optical technologies. **Key Aspects of Coherence Theory:** 1. **Coherence Length and Time:** - Coherence length is the distance over which a coherent wave (like a laser beam) maintains a predictable phase relationship.
Ruthenium has several isotopes, with a total of 7 naturally occurring and synthetic isotopes known. Here are some of the notable isotopes of ruthenium: 1. **Ruthenium-96 (Ru-96)**: This is the most stable and abundant isotope, with a half-life of about 373.59 days. It primarily decays by beta decay.
The isotopic resonance hypothesis is a concept in the field of chemistry and physics that relates to the behavior of isotopes of elements and the effects they have on chemical reactions, particularly in biochemical processes. While specific details may vary and definitions can differ among disciplines, the hypothesis generally suggests that isotopes can exhibit different resonance behaviors due to their nuclear properties, which can influence molecular interactions and reaction pathways.
Sulfur has several isotopes, which are variants of the sulfur atom that have the same number of protons but different numbers of neutrons. The most common isotopes of sulfur are: 1. **Sulfur-32 (²³²S)**: This is the most abundant isotope, accounting for about 95% of naturally occurring sulfur. It has 16 protons and 16 neutrons.
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





