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Topic Review
Denormal Number
In computer science, subnormal numbers are the subset of denormalized numbers (sometimes called denormals) that fill the underflow gap around zero in floating-point arithmetic. Any non-zero number with magnitude smaller than the smallest normal number is subnormal. In a normal floating-point value, there are no leading zeros in the significand or mantissa; rather, leading zeros are removed by adjusting the exponent (for example, the number 0.0123 would be written as 1.23 × 10−2). Conversely, a denormalized floating point value has a significand with a leading digit of zero. Of these, the subnormal numbers represent values which if normalized would have exponents below the smallest representable exponent (the exponent having a limited range). The significand (or mantissa) of an IEEE floating-point number is the part of a floating-point number that represents the significant digits. For a positive normalised number it can be represented as m0.m1m2m3...mp−2mp−1 (where m represents a significant digit, and p is the precision) with non-zero m0. Notice that for a binary radix, the leading binary digit is always 1. In a subnormal number, since the exponent is the least that it can be, zero is the leading significant digit (0.m1m2m3...mp−2mp−1), allowing the representation of numbers closer to zero than the smallest normal number. A floating-point number may be recognized as subnormal whenever its exponent is the least value possible. By filling the underflow gap like this, significant digits are lost, but not as abruptly as when using the flush to zero on underflow approach (discarding all significant digits when underflow is reached). Hence the production of a subnormal number is sometimes called gradual underflow because it allows a calculation to lose precision slowly when the result is small. In IEEE 754-2008, denormal numbers are renamed subnormal numbers and are supported in both binary and decimal formats. In binary interchange formats, subnormal numbers are encoded with a biased exponent of 0, but are interpreted with the value of the smallest allowed exponent, which is one greater (i.e., as if it were encoded as a 1). In decimal interchange formats they require no special encoding because the format supports unnormalized numbers directly. Mathematically speaking, the normalized floating-point numbers of a given sign are roughly logarithmically spaced, and as such any finite-sized normal float cannot include zero. The subnormal floats are a linearly spaced set of values, which span the gap between the negative and positive normal floats.
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Topic Review
FLITs
FLITs is an acronym for FLow control unITs (or FLow control digITs). Large network packets are broken into small pieces called flits (flow control units). The first flit, called the header flit holds information about this packet's route (namely the destination address) and sets up the routing behavior for all subsequent flits associated with the packet. The head flit is followed by zero or more body flits, containing the actual payload of data. The final flit, called the tail flit, performs some book keeping to close the connection between the two nodes. A virtual connection holds the state needed to coordinate the handling of the flits of a packet. At a minimum, this state identifies the output port of the current node for the next hop of the route and the state of the virtual connection (idle, waiting for resources, or active). The virtual connection may also include pointers to the flits of the packet that are buffered on the current node and the number of flit buffers available on the next node.:237
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Topic Review
CSS HTML Validator
CSS HTML Validator (previously named CSE HTML Validator) is an HTML editor and CSS editor for Windows (and Linux when used with Wine) that helps web developers create syntactically correct and accessible HTML, XHTML, and CSS documents (including HTML5 and CSS3) by locating errors, potential problems, and common mistakes. It is also able to check links, suggest improvements, alert developers to deprecated, obsolete, or proprietary tags, attributes, and CSS properties, and find issues that can affect search engine optimization. CSS HTML Validator is developed, marketed, and sold by AI Internet Solutions LLC located in Texas . The first version of CSS HTML Validator was released in 1997 for Windows 95. The current version is 2022/v22.01 (as of July 22, 2022) and is for Windows 7 and above, including Windows 11. There are four major editions of CSS HTML Validator — Enterprise, Pro/Professional, Home/Standard, and Lite. While the application is generally a commercial product (except for the Lite edition), a free version of the Home/Standard edition is available for personal/educational, non-commercial use.
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Topic Review
Mambo
Mambo (formerly named Mambo Open Source or MOS) was a free software/open source content management system (CMS) for creating and managing websites through a simple web interface. Its last release was in 2008, by which time all of the developers had left for forks of the project, mainly Joomla and MiaCMS.
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Topic Review
Palatine Lion
The Palatine Lion (German: Pfälzer Löwe), less commonly the Palatinate Lion, is an heraldic charge (see also: heraldic lions). It was originally part of the family coat of arms of the House of Wittelsbach and is found today on many coats of arms of municipalities, counties and regions in South Germany and the Austrian Innviertel.
  • 512
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Topic Review
Gatling
Gatling is an open-source load- and performance-testing framework based on Scala, Akka and Netty. The first stable release was published on January 13, 2012. In 2015, Gatling's founder, Stéphane Landelle, created a company (named "Gatling Corp"), dedicated to the development of the open-source project. According to Gatling Corp's official blog, Gatling was downloaded more than 1,000,000 times (2021). In June 2016, Gatling officially presented Gatling FrontLine, Gatling's Enterprise Version with additional features. The software is designed to be used as a load testing tool for analyzing and measuring the performance of a variety of services, with a focus on web applications. Gatling was mentioned twice in ThoughtWorks Technology Radar, in 2013 and 2014, "as a tool worth trying", with an emphasis on "the interesting premise of treating your performance tests as production code". The latest stable release is Gatling 3.8.0, published on July 06, 2022.
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Topic Review
Home Theater PC
A home theater PC (HTPC) or media center computer is a convergent device that combines some or all the capabilities of a personal computer with a software application that supports video, photo, audio playback, and sometimes video recording functionality. In recent years, other types of consumer electronics, including game consoles and dedicated media devices, have crossed over to manage video and music content. The term "media center" also refers to specialized application software designed to run on standard personal computers. HTPC and other convergent devices integrate components of a home theater into a unit co-located with a home entertainment system. An HTPC system typically has a remote control and the software interface normally has a 10-foot (3 m) user interface design so that it can be comfortably viewed at typical television viewing distances. An HTPC can be purchased pre-configured with the required hardware and software needed to add video programming or music to the PC. Enthusiasts can also piece together a system out of discrete components as part of a software-based HTPC. Since 2007, digital media player and smart TV software has been incorporated into consumer electronics through software or hardware changes including video game consoles, Blu-ray players, networked media players, televisions, and set-top boxes. The increased availability of specialized devices, coupled with paid and free digital online content, now offers an alternative to multipurpose (and more costly) personal computers.
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Topic Review
Fsutil
As the next version of Windows NT after Windows 2000, as well as the successor to Windows Me, Windows XP introduced many new features but it also removed some others.
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Topic Review
Paranoid Android
Paranoid Android is an open-source operating system for smartphones and tablet computers, based on the Android mobile platform. The latest official version is Sapphire, based on Android 12, released on 30 November 2021. In September 2015, PC Advisor called it the most famous ROM along with CyanogenMod, and The Economic Times called it the second-largest custom Android ROM in the world with over 200 000 users.
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Topic Review
Hybrid Number
A hybrid number is a generalization of complex numbers [math]\displaystyle{ \left(a+\mathbf{i}b, \mathbf{i}^{2}=-1\right) }[/math], split-complex numbers (or "hyperbolic number") [math]\displaystyle{ \left(a+\mathbf{h}b, \mathbf{h}^2=1\right) }[/math] and dual numbers [math]\displaystyle{ \left(a+\mathbf{\varepsilon} b, \mathbf{\varepsilon}^2 = 0\right) }[/math]. Hybrid numbers form a noncommutative ring. Complex, hyperbolic and dual numbers are well known two-dimensional number systems. It is well known that, the set of complex numbers, hyperbolic numbers and dual numbers are respectively. The algebra of hybrid numbers is a noncommutative algebra which unifies all three number systems calls them hybrid numbers., , . A hybrid number is a number created with any combination of the complex, hyperbolic and dual numbers satisfying the relation Because these numbers are a composition of dual, complex and hyperbolic numbers, Ozdemir calls them hybrid numbers . A commutative two-dimensional unital algebra generated by a 2 by 2 matrix is isomorphic to either complex, dual or hyperbolic numbers . Due to the set of hybrid numbers is a two-dimensional commutative algebra spanned by 1 and [math]\displaystyle{ \mathbf{i}b+c\mathbf{\varepsilon }+d\mathbf{h} }[/math], it is isomorphic to one of the complex, dual or hyperbolic numbers. Especially in the last century, a lot of researchers deal with the geometric and physical applications of these numbers. Just as the geometry of the Euclidean plane can be described with complex numbers, the geometry of the Minkowski plane and Galilean plane can be described with hyperbolic numbers. The group of Euclidean rotations SO(2) is isomorphic to the group U(1) of unit complex numbers. The geometrical meaning of multiplying by [math]\displaystyle{ e^{\mathbf{i}\theta}=\cos \theta +\mathbf{i}\sin \theta }[/math] means a rotation of the plane. , . The group of Lorentzian rotations [math]\displaystyle{ SO(1,1) }[/math] is isomorphic to the group of unit spacelike hyperbolic numbers. This rotation can be viewed as hyperbolic rotation. Thus, multiplying by [math]\displaystyle{ e^{\mathbf{h}\theta }=\cosh \theta +\mathbf{h} \sinh \theta }[/math] means a map of hyperbolic numbers into itself which preserves the Lorentzian metric. , , , The Galilean rotations can be interpreted with dual numbers. The concept of a rotation in the dual number plane is equivalent to a vertical shear mapping since [math]\displaystyle{ \left( 1+x\mathbf{\varepsilon }\right) \left( 1+y\mathbf{\varepsilon }\right) =1+\left( x+y\right) \mathbf{\varepsilon } }[/math]. The Euler formula for dual numbers is [math]\displaystyle{ e^{\mathbf{\varepsilon }\theta }=1+\mathbf{\varepsilon }\theta }[/math]. Multiplying by [math]\displaystyle{ e^{\mathbf{\varepsilon \theta }} }[/math] is a map of dual numbers into itself which preserves the Galilean metric. This rotation can be named as parabolic rotation , , , , , . File:Planar rotations.tif In abstract algebra, the complex, the hyperbolic and the dual numbers can be described as the quotient of the polynomial ring [math]\displaystyle{ \mathbb{R}[x] }[/math] by the ideal generated by the polynomials [math]\displaystyle{ x^2+1, }[/math], [math]\displaystyle{ x^2-1 }[/math] and [math]\displaystyle{ x^{2} }[/math] respectively. That is, Matrix represantations of the units [math]\displaystyle{ \mathbf{i} }[/math], [math]\displaystyle{ \mathbf{\varepsilon } }[/math], [math]\displaystyle{ \mathbf{h} }[/math] are respectively.
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