Hyperbolic functions are mathematical functions that are similar to the trigonometric functions but are defined using hyperbolas instead of circles. The two primary hyperbolic functions are the hyperbolic sine (sinh) and the hyperbolic cosine (cosh). ### Definitions: 1. **Hyperbolic Sine**: \[ \sinh(x) = \frac{e^x - e^{-x}}{2} \] 2.
The term "Cube" can refer to different concepts depending on the context. Here are a few notable interpretations: 1. **Geometry**: In mathematics, a cube is a three-dimensional shape with six equal square faces, twelve edges, and eight vertices. It is a type of polyhedron known as a regular hexahedron.
"Exposed Point" can refer to different concepts depending on the context, such as in mathematics, geography, or other fields. However, this term isn't universally defined as a standard term across disciplines. Here are some possible interpretations: 1. **Mathematics/Geometry**: In geometrical contexts, an exposed point can refer to a point on a polyhedron or surface that is not obscured by other parts of the shape.
The Dedekind eta function is a complex function that plays a significant role in number theory, modular forms, and the theory of partitions. It is defined for a complex number \( \tau \) in the upper half-plane (i.e.
Landen's transformation is a mathematical technique used in the field of elliptic functions and integral calculus. It is primarily applied to transform one elliptic integral into another, typically simplifying the computation or enabling the evaluation of elliptic integrals.
Legendre's relation typically refers to a specific relationship in number theory related to the distribution of primes. It is most commonly associated with Legendre's conjecture, which posits that there is always at least one prime number between any two consecutive perfect squares.
The theta function is a special mathematical function often used in various areas of mathematics, including complex analysis, number theory, and mathematical physics. There are several different definitions of theta functions, but the most common ones arise in the context of elliptic functions and modular forms.
The Weierstrass elliptic function is a fundamental object in the theory of elliptic functions, which are special functions that have a periodic nature in two directions. These functions are used extensively in various fields of mathematics, including complex analysis, algebraic geometry, and number theory.
Email hacking refers to the unauthorized access and manipulation of an email account or server. This can involve various methods and techniques used by hackers to gain control over someone else's email account, often for malicious purposes. The consequences can include identity theft, fraud, data breaches, and privacy violations. Common methods of email hacking include: 1. **Phishing**: This involves sending deceptive emails that appear to come from legitimate sources, tricking users into providing their login credentials or personal information.
Email systems refer to the software and protocols that facilitate the sending, receiving, storing, and managing of electronic mail (email) messages. These systems form the backbone of communication over the internet and are widely used in personal, professional, and institutional contexts. Here are key components and concepts related to email systems: 1. **Email Clients**: These are applications or software that allow users to access and manage their email.
Track and trace refers to a system or technology that enables the monitoring and identification of products throughout their supply chain journey. It involves the ability to track the movement of goods from their origin to their final destination, ensuring visibility at each stage of the process. This capability is particularly important in industries like pharmaceuticals, food and beverage, logistics, and manufacturing, where safety, compliance, and efficiency are critical.
A Message Transfer Agent (MTA) is a software component responsible for transferring electronic mail messages from one computer to another using a client-server architecture. It plays a crucial role in the email delivery process by managing the routing and relaying of email messages between mail servers. ### Key Functions of an MTA: 1. **Routing**: The MTA determines the best path for the email to travel from sender to recipient.
"Email Hub" can refer to several concepts or specific tools, depending on the context in which it's used. Here are a few interpretations: 1. **Email Management Tool**: An Email Hub can be a software application or platform designed to help users manage their email communications more efficiently. This may include features like unified inboxes, templates, automation, scheduling, and analytics.
A Distributed Sender Blackhole List (DSBL) is a type of blacklist used in the realm of email filtering and anti-spam measures. It is designed to identify and track senders of unsolicited or harmful emails, such as spam. The concept of a blackhole list is to provide a resource that email servers can use to determine whether to accept, reject, or mark an email as spam based on the sender's reputation.
An E-card, or electronic card, is a digital version of a traditional greeting card that can be sent via email or shared through online platforms. E-cards often feature animations, music, and customizable messages, and they are typically used to convey greetings for various occasions such as birthdays, holidays, anniversaries, and other celebrations. E-cards are popular due to their convenience, instant delivery, and the ability to personalize them.
The Email Deliverability Index (EDI) is a metric or a score that indicates the likelihood of email successfully reaching a recipient's inbox rather than being filtered into spam or junk folders. It helps email marketers and organizations assess the effectiveness of their email campaigns and overall email strategy. ### Key Factors Influencing Email Deliverability Index: 1. **Reputation**: This includes the sender's IP address reputation and domain reputation, which are influenced by past sending behavior, complaint rates, and engagement metrics.
Enriched text refers to a format of text that incorporates additional elements beyond plain text to enhance the reading experience and convey information more effectively. This can include: 1. **Formatting Options:** Such as bold, italics, underlining, and strikethrough to emphasize certain words or phrases. 2. **Hyperlinks:** Links that direct the reader to additional resources, websites, or documents for further information.
Email privacy refers to the protection of the content and metadata of emails from unauthorized access, interception, or misuse. It encompasses various aspects, including: 1. **Confidentiality**: Ensuring that the contents of an email are accessible only to the intended recipient(s) and not to any unauthorized individuals or entities.
An Email Service Provider (ESP) in the context of marketing is a company or platform that offers tools and services to businesses and organizations for sending, managing, and tracking email communications. These services are typically used for email marketing campaigns, newsletters, customer relationship management, and personalized communication with clients or customers. ### Key Features of ESPs: 1. **Email Campaign Management**: ESPs allow users to create, send, and manage multiple email campaigns. This includes design tools for creating visually appealing emails.
Email spam, also known as junk email, refers to unsolicited and often irrelevant messages sent in bulk to a large number of recipients. It typically includes advertisements, scams, phishing attempts, or any other type of promotional content that the recipient did not request. Spam can take various forms, including: 1. **Commercial Advertising**: Many spam emails promote products or services, often from companies the recipient has never interacted with.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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