An **association scheme** is a mathematical structure used in combinatorial design and algebra. It provides a framework for studying the relationships between elements in a finite set, particularly in terms of how pairs of elements can be grouped based on certain properties. Association schemes are often employed in coding theory, statistics, and finite geometry. An association scheme can be defined as follows: 1. **Set of Points:** Let \( X \) be a finite set of \( n \) points.
The N170 is an event-related potential (ERP) component that is typically observed using electroencephalography (EEG). It appears approximately 170 milliseconds after the presentation of a visual stimulus, particularly when the stimulus involves faces or familiar objects. The N170 is characterized by a negative deflection in the EEG signal and is believed to reflect processes related to the perception and recognition of faces.
An ecological study is a type of observational study used in epidemiology and public health research that examines the relationships between exposure and outcomes at the population or group level, rather than at the individual level. In these studies, researchers analyze aggregated data across different groups, such as countries, regions, or communities, to identify patterns and associations. Key features of ecological studies include: 1. **Unit of Analysis**: The groups or populations form the primary units of analysis rather than individual data points.
An experiment is a systematic procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact. It typically involves manipulating one or more independent variables and observing the effects on one or more dependent variables while controlling for other variables that might affect the outcome. Experiments are a fundamental part of the scientific method, as they provide a way to validate or refute theories and hypotheses through empirical evidence.
A glossary of experimental design includes key terms and concepts that are commonly encountered in the field of experimental research. Understanding these terms is crucial for designing experiments, analyzing data, and interpreting results. Here are some important terms often found in such a glossary: 1. **Independent Variable**: The variable that is manipulated or controlled by the researcher to observe its effect on the dependent variable.
An Institutional Review Board (IRB) is a committee established to review and oversee research involving human subjects to ensure ethical standards are upheld. The primary purpose of an IRB is to protect the rights, welfare, and well-being of participants involved in research studies. Key functions of an IRB include: 1. **Ethical Review:** Assessing research proposals to ensure ethical standards are met, including considerations of informed consent, risk vs. benefit analysis, privacy, and confidentiality.
C1 and P1 can refer to various concepts depending on the context. Here are a few interpretations: 1. **Language Proficiency**: - **C1**: In the Common European Framework of Reference for Languages (CEFR), C1 denotes an advanced level of language proficiency where the individual can understand a wide range of demanding, longer texts and recognize implicit meaning. They can express themselves fluently and spontaneously.
An orthogonal array is a mathematical structure used in statistics and experimental design, particularly in the context of conducting experiments and analyzing data. It is a multidimensional array that provides a systematic way to arrange treatment combinations and their conditions, and it ensures that the levels of the factors being studied are balanced and replicated across different experimental runs.
In acoustics, a "beat" refers to a phenomenon that occurs when two sound waves of slightly different frequencies interfere with each other. When these waves are played together, they produce fluctuations in amplitude that can be perceived as a periodic variation in loudness. This effect arises because the waves periodically align and misalign due to their frequency difference. The beat frequency is equal to the absolute difference between the frequencies of the two sound waves.
Beta waves are a type of brainwave pattern that is typically associated with active, alert, and engaged mental states. They are one of the five major types of brainwaves, which include delta, theta, alpha, beta, and gamma waves. Here are some key characteristics of beta waves: - **Frequency**: Beta waves have a frequency range of approximately 12 to 30 Hz (cycles per second).
Pharmaco-electroencephalography (pEEG) is a specialized field that combines pharmacology with electroencephalography (EEG) to study the effects of drugs on brain activity. EEG is a technique used to record electrical activity in the brain through electrodes placed on the scalp. When combined with pharmacological assessments, pEEG allows researchers and clinicians to analyze how different substances, such as medications or recreational drugs, affect brain wave patterns and overall brain function.
Lean body mass (LBM) refers to the weight of everything in the body except fat. This includes muscles, organs, bones, blood, water, and other tissues. It essentially represents the mass of the body that is metabolically active and is crucial for various physiological functions. Lean body mass is an important measure in fields like health, fitness, and nutrition, as it can help assess a person's overall body composition and metabolic health.
The frequencies of piano keys are based on the equal temperament tuning system, where the octave is divided into 12 equal parts (semitones). The standard tuning reference pitch is typically A4, which is set at 440 Hz. Here's a breakdown of some of the key frequencies for a standard 88-key piano, starting from A0 (the lowest note) up to C8 (the highest note): - A0: 27.
Pythagorean hammers is a term that refers to a mathematical and historical concept rather than a specific tool or product. It is often associated with the idea of musical tuning, specifically related to the Pythagorean tuning system, which is based on the harmonic series and the ratios of frequencies.
Solo tuning refers to a method of tuning musical instruments, particularly string instruments like violins, violas, and cellos, for solo performances. This tuning typically involves adjusting the instrument to a pitch that is a half-step or whole step higher than standard tuning, allowing the instrument to project better in solo performances and stand out against orchestral sounds. In addition to pitch adjustments, solo tuning can also involve using different techniques or fingerings to achieve more vibrant and expressive sound qualities suitable for solo repertoire.
Stringed instrument tunings refer to the specific pitches or intervals at which the strings of a musical instrument, such as a guitar, violin, cello, or banjo, are set or adjusted. Tuning is essential because it ensures that the instrument sounds correct when played alone or in harmony with other instruments. Different stringed instruments have standard tunings, which can vary widely depending on the type of instrument and the musical genre.
A tone hole is an opening found on woodwind instruments, such as flutes, clarinets, and saxophones, which is used to change the pitch of the instrument. By covering or uncovering these holes, the player alters the vibrating length of the air column inside the instrument, resulting in different musical notes. When a player covers a tone hole (usually with a finger or an instrument's key mechanism), they decrease the length of the air column, leading to higher pitches.
The DIKW pyramid is a model that represents the relationships between data, information, knowledge, and wisdom. It is often visualized as a pyramid with each layer building upon the one below it, illustrating the process of converting raw data into valuable insights and understanding. Here's a brief overview of each component: 1. **Data**: The base of the pyramid consists of raw facts and figures without context. Data are unprocessed and do not carry meaning on their own.
Institutional memory refers to the collective knowledge, experiences, and information that an organization accumulates over time. This knowledge includes documented information, such as policies, procedures, guidelines, and reports, as well as unwritten knowledge, including insights gained through experience, organizational culture, and interpersonal relationships. Institutional memory serves several important purposes: 1. **Continuity**: It helps maintain a sense of continuity within the organization, allowing for smoother transitions during leadership changes or personnel turnover.
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





