Tree (data structure)

In computer science, a tree is a widely used abstract data type (ADT)--or data structure implementing this ADT--that simulates a hierarchical tree structure, with a root value and subtrees of children with a parent node, represented as a set of linked nodes.

A tree data structure can be defined recursively (locally) as a collection of nodes (starting at a root node), where each node is a data structure consisting of a value, together with a list of references to nodes (the "children"), with the constraints that no reference is duplicated, and none points to the root.

Alternatively, a tree can be defined abstractly as a whole (globally) as an ordered tree, with a value assigned to each node. Both these perspectives are useful: while a tree can be analyzed mathematically as a whole, when actually represented as a data structure it is usually represented and worked with separately by node (rather than as a list of nodes and an adjacency list of edges between nodes, as one may represent a digraph, for instance). For example, looking at a tree as a whole, one can talk about "the parent node" of a given node, but in general as a data structure a given node only contains the list of its children, but does not contain a reference to its parent (if any).

2–3–4 tree

In computer science, a 2–3–4 tree (also called a 2–4 tree) is a self-balancing data structure that is commonly used to implement dictionaries. The numbers mean a tree where every node with children (internal node) has either two, three, or four child nodes:

2-node

2-node

3-node

3-node

4-node

4-node

2–3–4 trees are B-trees of order 4; like B-trees in general, they can search, insert and delete in O(log n) time. One property of a 2–3–4 tree is that all external nodes are at the same depth.

2–3–4 trees are an isometry of red–black trees, meaning that they are equivalent data structures. In other words, for every 2–3–4 tree, there exists at least one red–black tree with data elements in the same order. Moreover, insertion and deletion operations on 2–3–4 trees that cause node expansions, splits and merges are equivalent to the color-flipping and rotations in red–black trees. Introductions to red–black trees usually introduce 2–3–4 trees first, because they are conceptually simpler. 2–3–4 trees, however, can be difficult to implement in most programming languages because of the large number of special cases involved in operations on the tree. Red–black trees are simpler to implement, so tend to be used instead.

Tree63 (album)

Tree63 is Tree63's third album.

Track listing

References

Jīva (Jainism)

The Jīva or Atman (/ˈɑːtmən/; Sanskrit: आत्मन्) is a philosophical term used within Jainism to identify the soul. It is one's true self (hence generally translated into English as 'Self') beyond identification with the phenomenal reality of worldly existence. As per the Jain cosmology, jīva or soul is also the principle of sentience and is one of the tattvas or one of the fundamental substances forming part of the universe. According to The Theosophist, "some religionists hold that Atman (Spirit) and Paramatman (God) are one, while others assert that they are distinct ; but a Jain will say that Atman and Paramatman are one as well as distinct." In Jainism, spiritual disciplines, such as abstinence, aid in freeing the jīva "from the body by diminishing and finally extinguishing the functions of the body." Jain philosophy is essentially dualistic. It differentiates two substances, the self and the non-self.

Real Self

According to the Jain text, Samayasāra (The Nature of the Self):-

Life (manga)

Life (Japanese: ライフ, Hepburn: Raifu) is a shōjo manga series created by Keiko Suenobu, a manga creator well known for her work on Vitamin and Happy Tomorrow. Life was serialized in Bessatsu Friend, a publication of Kodansha, and deals with many controversial topics such as self-mutilation, bullying, rape, suicide, and manipulation. In 2006, it won the Kodansha Manga Award for shōjo.

The English language version of the manga, published by Tokyopop, was originally rated OT (Older Teen; 16+), but starting with the release of Volume 6 and carrying back over to future reprintings of the previous five, the rating was changed to M (Mature; 18+) for extremely explicit content in that volume. As of June 2008, nine volumes have been released in the United States; Volume 10 was scheduled for a September 2008 release, but on August 31, 2009, Kodansha (original Japanese publisher of the series) announced that they would drop their manga licensing contract with Tokyopop, leaving Life and other well-known series such as Rave Master unfinished, whether permanently or until picked up by other manga publishing companies (Dark Horse Manga and Del Rey Manga have already picked up certain titles). Kodansha also did not offer an explanation for their decision. The future of the English version of the manga is unknown, as Tokyopop itself shut down in May 2011 after they were faced with bankruptcy.

Life (Sly and the Family Stone album)

Life is the third studio album by funk/soul band Sly and the Family Stone, released in September 1968 on Epic/CBS Records.

Music

Unlike its predecessor, Dance to the Music, Life was not a commercial success, although it has received mostly positive reviews from music critics over the years. Many of its songs, including "M'Lady", "Fun", "Love City", as well as the title track, became popular staples in the Family Stone's live show. A middle ground between the fiery A Whole New Thing and the more commercial Dance to the Music, Life features very little use of studio effects, and is instead more driven by frontman Sly Stone's compositions. Topics for the album's songs include the dating scene ("Dynamite!", "Chicken", "M'Lady"), groupies ("Jane is a Groupee"), and "plastic" (or "fake") people (the Beatlesque "Plastic Jim"). Of particular note is that the Family Stone's main themes of unity and integration are explored here in several songs ("Fun", "Harmony", "Life", and "Love City"). The next Family Stone LP, Stand!, would focus almost exclusively on these topics.

Catch 22 Live

Live! is Catch 22's first full-length live release, although fan-recorded live tracks were bonus features on several previous albums. Roughly a third of the album is devoted to Keasbey Nights, another third to Alone in a Crowd, and the remainder to Dinosaur Sounds. A bonus DVD includes footage from the concert, as well as a variety of extras. However, former frontman Tomas Kalnoky is conspicuously absent from the footage of the band's early days.

Track listing

DVD Features

Personnel