Linear phase refers to a specific characteristic of filters, particularly digital filters, used in signal processing. In a linear phase filter, the phase response of the filter is a linear function of frequency. This means that all frequency components of the input signal are delayed by the same constant amount of time, leading to no phase distortion. ### Key Characteristics of Linear Phase Filters: 1. **Constant Group Delay**: Linear phase filters maintain a constant group delay across all frequencies.
Probability is a branch of mathematics that deals with the quantification of uncertainty. It measures how likely an event is to occur, expressed as a number between 0 and 1, or as a percentage between 0% and 100%. Here are some key concepts related to probability: 1. **Experiments and Outcomes**: A probability experiment is a procedure that yields one or more outcomes. An outcome is the result of a single trial of an experiment.
Hamming space is a mathematical concept used primarily in coding theory and information theory. It refers to the set of all possible strings of a fixed length over a specified alphabet, usually binary (0s and 1s). The term "Hamming space" is often associated with Hamming distance, which quantifies the difference between two strings of equal length.
An online diary, often referred to as a digital diary or blog, is a type of personal journal that is maintained on the internet. It allows individuals to document their thoughts, experiences, and feelings in a digital format, which can be private or shared with others. Online diaries can take various forms, including: 1. **Private Journals**: These can be password-protected websites or apps where users can write entries that are not visible to the public.
A well-defined expression is a mathematical or logical expression that is clear and unambiguous in its meaning. This typically means that the expression follows the accepted rules of mathematics or logic and yields a unique, consistent result regardless of how it is interpreted within its given context. For example, the expression \(2 + 3\) is well-defined because it has a clear and universally accepted result: \(5\).
FRACTRAN is a minimalistic programming language invented by mathematician John Conway. It is designed to demonstrate how computation can be implemented using a simple set of rules involving fractions. The primary concept of FRACTRAN is to execute a series of operations on an integer using a list of fractions. The way FRACTRAN works is as follows: 1. You start with a positive integer (usually 1). 2. You have a predefined list of fractions.
DBrn can refer to different things depending on the context. However, without more specific information, it's difficult to provide a precise answer. Here are a couple of possibilities: 1. **DBR in Technology**: In the realm of technology and engineering, "DBrN" could refer to some technical terms like "Designated Block Reference Number" or might be related to a specific programming or hardware terminology.
An air mass is a large body of air that has uniform temperature and humidity characteristics in the horizontal direction. It typically spans thousands of square kilometers and can extend vertically through the atmosphere. The properties of an air mass are influenced by the region over which it forms, known as its source region. Air masses are classified based on their temperature and moisture content: 1. **Temperature:** - **Tropical (T)** - Warm air masses that originate in the tropics.
Polyisocyanurate, often abbreviated as PIR, is a type of thermoset plastic that is derived from the polymerization of isocyanate and polyol. It is a member of the polyurethane family, but with a higher degree of rigidity and thermal stability. Polyisocyanurate is primarily used for its excellent insulating properties, making it a popular choice in the construction and manufacturing sectors.
In economics, an "index" is a statistical measure that reflects changes in a particular variable or group of variables over time. It is commonly used to track economic indicators and trends, making it easier to analyze data and compare performance across different time periods or regions. Here are some common types of economic indices: 1. **Price Indices**: Measure changes in the price level of a basket of goods and services over time.
Xenoy is a brand name for a family of engineering thermoplastic materials produced by SABIC (Saudi Basic Industries Corporation). These materials are primarily a blend of polycarbonate and acrylonitrile-butadiene-styrene (ABS), which gives them a unique combination of properties. Xenoy is known for its high impact resistance, strength, durability, and heat resistance, making it suitable for a variety of applications, including automotive parts, consumer electronics, and industrial components.
Nik Nanos is a prominent Canadian pollster, researcher, and political analyst known for his work in public opinion research and market analysis. He is the founder and CEO of Nanos Research, a company that specializes in polling and survey research across various sectors, including politics, business, and social issues. Nanos is often called upon by media outlets and organizations to provide insights and analyses on public opinion trends in Canada, particularly during elections and significant political events.
Windows 2.0x refers to a series of early versions of Microsoft's Windows operating system that were part of the second major release of Windows. Specifically, Windows 2.0 was released in December 1987, and it was followed by Windows 2.03 in 1988 and Windows 2.1x in 1989. Windows 2.0 introduced several improvements and features over its predecessor, Windows 1.
Shizuo Kakutani is a prominent Japanese mathematician known for his work in functional analysis, game theory, and the Kakutani fixed-point theorem. The Kakutani fixed-point theorem is a generalization of Brouwer's fixed-point theorem and is significant in various fields, including economics and game theory, as it provides conditions under which a fixed point exists in a compact, convex set.
As of my last knowledge update in October 2023, Vera Serganova is not a widely recognized figure or concept in popular culture, science, or other well-known contexts. It is possible that Vera Serganova could refer to a private individual or a lesser-known entity that has not gained significant public attention.
A sphenic number is a positive integer that is the product of three distinct prime numbers. In other words, a sphenic number can be expressed in the form \( p_1 \times p_2 \times p_3 \), where \( p_1 \), \( p_2 \), and \( p_3 \) are prime numbers and \( p_1 \), \( p_2 \), and \( p_3 \) are all different from one another.
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





