Jacobi identity - Jacobi identity The Jacobi identity is the name for the following equation: [X,[Y,Z]]+[Y,[Z,X]]+[Z,[X,Y]]=0 for all X,Y,Z. Lie algebras are the primary example of an algebra which satisfies the Jacobi identity. But note that an algebra can satisfy the Jacobi identity but yet not be anticommutative. See also superjacobi identity..
Identity and change - Identity and change In the philosophical field of metaphysics, the the problem of change is the question of how change can occur. Let's begin with a definition of the word "change." First, notice that when an object changes, it always changes in some particular way. A baby grows up, and so changes in the respects of size and maturity; a snake sheds its skin, and so changes in the respect of the skin it has. So here's a definition of "change": An object O changes with respect to property P iff O has P at one time and at a later time O does not have P. That seems to be what it means for a thing to change: it has a property at one time.
Identity element - Identity element In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set. The term identity element is often shortened to identity when there is no possibility of confusion, and we will do so in this article. Let S be a set with a binary operation * on it. Then an element e of S is called a left identity if e * a = a for all a in S, and a right identity if a * e = a for all a in S. If e is both a left identity and a right identity, then it is called a two-sided identity, or simply an identity. For example, if (S,*) denotes the real numbers with addition, then.
Identity function - Identity function An identity function f is a function which doesn't have any effect: it always returns the same value that was used as its argument. Formally, if M is a set, we define the identity function idM on M to be that function with domain and codomain M which satisfies idM(x) = x for all elements x in M. If f : M → N is any function, then we have f o idM = f = idN o f. In particular, idM is the identity element of the monoid of all functions from M to M. When choosing M equal to the positive integers, one obtains the identity function Id(n), which is a multiplicative function considered in number theory..
Identity matrix - Identity matrix In linear algebra, the identity matrix is a matrix which is the identity element under matrix multiplication. That is, multiplication of any matrix by the identity matrix (where defined) has no effect. The ith column of an identity matrix is the unit vector ei Since matrices can only be multiplied if their sizes are compatible, there are identity matrices for each size. In, the identity matrix of size n is defined as a diagonal matrix with 1 in every entry of its main diagonal. Thus: Using the notation that is sometimes used to concisely describe diagonal matrices, it is: If the size is immaterial, or can be trivially determined by the context, it can be written simply as I. It can also be written.
Identity - Identity See identity (disambiguation) for other usages of this term. In metaphysics, identity is the quality of being "the same". Philosophers ask: What does it mean for an object to be the same as itself? What does it mean for an object to be the same, if it changes over time? (Is applet the same as applet+1?) If an object's parts are entirely replaced over time, as in the Ship of Theseus example, in what way is it the same? A traditional view is that of Gottfried Leibniz, who held that x is the same as y if and only if every predicate true of x is true of y as well. Leibniz's ideas have taken root in the philosophy of mathematics, where they have influenced.
Identity theft - Identity theft Identity theft is the deliberate assumption of another person's identity, usually to gain access to their credit or frame them for some crime. Less commonly, it is to enable illegal immigration, terrorism, espionage or changing identity permanently. It may also be a means of blackmail, especially if medical privacy or political privacy has been breached, and revealing the activities undertaken by the thief under the name of the victim would have serious consequences like loss of job or marriage. Identity theft is usually the result of serious breaches of privacy. Except for the simplest credit cases, it is usually not possible without breakdowns in: customer privacy, in which case the consequences may be limited to fraud on one corporation, typically the one that leaked.
Identity (mathematics) - Identity (mathematics) In mathematics, an identity is an equality that remains true regardless of the values of any variables that appear within it. Identities for classes of functions Logarithmic identities Exponential identities Trigonometric identities Hyperbolic function identities Hypergeometric function identities Combinatorial identities Named identities Bézout's identity Euler's identity.
Identity politics - Identity politics Identity politics are politics primarily concerned about the interests and identity of a particular group, rather than the policy issues which relate to all members of the community. The group identity can be based on race, class, religion, sex, sexuality or other criteria. This article is about group-based movements in politics which claim to represent the interests of their exclusive group. Although most political parties target particular constituencies or demographics more than others, this is typically not the core part of their ideology. Often identity politics is a form of victim politics, where a group identifies themselves as oppressed, and seek either to end that oppression, or to use that oppression to justify their actions in other spheres. Even majority groups often want to.
Identity document - Identity document An identity document is a piece of documentation designed to prove the identity of the person carrying it. Unlike other forms of documentation, which only have a single purpose such as authorizing bank transactions, or proving membership of a library, an identity document simply asserts the bearer's identity. If an identity document is in the form of a small standard-sized card, such as an ISO 7810 card, it is called an identity card. Where the identity card is issued by the State, it asserts a unique single civil identity for a person, thus defining that person's identity purely in relation to the State. Recent technologies allow identity cards to contain biometric information, such as face, hand or iris measurements, or fingerprints. In many cases,.
Identity creation - Identity creation Identity creation is the process of creating a new personal identity or alias for an existing person. It is commonly employed: As part of witness protection programs. In order to place secret agents in deep cover. In order to commit fraud. It differs from identity theft in that the new identity is not one previously existing..
Identity (disambiguation) - Identity (disambiguation) See In mathematics, see identity element. For the periodical publication "Identity", see Identity (magazine). This is a disambiguation page; that is, one that just points to other pages that might otherwise have the same name. If you followed a link here, you might want to go back and fix that link to point to the appropriate specific page..
Kara-Khanid Khanate - of Muslim subjects recorded in the vertical Sogdian script of the first Uygur Empire. Despite continuity from the first Uygur Empire and affinity with the Kara-Khojas, the Kara-Khanids claimed descent from the legendary Persian Afrasiab dynasty. The use of the vertical Uygur script among Muslim Turks extended well into Timurid times in western Turkistan, and well into Manchu times in some enclaves in eastern Turkistan. The Anatolian Turkish beyliks in IlKhanid times and early Ottoman times still retained scribes trained in the vertical script in order to do transactions with the Timurids. These scribes were called "bakshy", a name possibly of Chinese origin, meaning "great scholar", one of the titles of the Confucian soldier-scholar Yelu Dashi; or of Sanskrit origin. The nomadic elements of the Kara-Khanid and Kara-Khitan states, the Qarluk.
Kara-Khitan Khanate - nucleus of Khitay elites were wise to adopt elements of Nestorian identity, as reflected in the Christian names of the Kara-Khitay Gur-Khans. The Khitay conquest of Central Asia, can thus be seen as internecine struggle within the Qarluk nomadic tribe, only played out as dynastic conflict between the conquering Khitay elites and the defending Kara-Khanid princes, resulting in the subjugation of the latter by the former, and in the subjugation of the Muslim Qarluks by their Nestorian kins and the Nestorian Naimans. See also: Kara-Khanid Khanate.
Veneration of the dead - and differences in the relationships between the living and the dead. The minimum requirement for veneration offered to the dead is probably some kind of belief in an afterlife, a survival at least for a time of personal identity beyond death. These beliefs are far from uniform. Celtic attitudes toward, practices in connection with, and festivals of the dead see Samhain Greek attitudes toward, practices in connection with, and festivals of the dead Hebrew attitudes toward, practices in connection with, and festivals of the dead Rabbinical Judaism's attitudes toward, practices in connection with, and festivals of the dead Table of contents showTocToggle("show","hide") 1 Early Christianity's attitudes toward, practices in connection with, and festivals of the dead 2 Catholicism's attitudes toward, practices in connection with, and festivals of the dead 3 Chinese.
Kagyu - the Kagyu school,more specifically of its Karma Kagyu tradition, is the Gyalwa Karmapa, whose appearance is said to have been predicted by the Buddha in the Samadhiraja Sutra (lit: Sermon regarding the Kings of Meditative Absorption). Currently there is a dispute regarding the identity of the 17th Karmapa (this dispute was predicted by the 12th Karmapa). Other prominent lamas (lit: Teachers) include the Shamarpa and T'ai Situpa. The central teaching of this School is the doctrine of Mahamudra, or "the Great Seal", as elucidated by Gampopa in his various works. This doctrine focuses on four principal stages of meditative practice (the Four Yogas of Mahamudra), namely: 1- The development of single-pointedness of mind, 2- The transcendence of all conceptual elaboration, 3- The cultivation of the perspective that all phenomena are of.
Karenna Gore Schiff - nonprofit group with a $13 million annual budget. Talking about a possible future political career, Kareena said the following in a Hill Newspaper interview: "Sometime in my life, I might want to run for elective office....but I am conflicted about what goes into it. Right now my kids are so little, and I have more work to do in building a separate professional identity." Karenna resides in New York with husband Drew Schiff and children Wyatt and Anna..
Kerberos - Internet for example), based on the key distribution model of Needham and Schroeder. It allows individuals communicating over a network to prove their identity to each other while also preventing evesdropping or replay attacks, and provides for detection of modification and the prevention of unauthorized reading. The protocol can be specified as follows in security protocol notation, where Alice is authenticating herself to Bob using a server S: We see here that the security of the protocol relies heavily on Timestamps being reliable indicators of the freshness of a communication (see the BAN logic). Kerberos is freely available from MIT, under copyright permissions similar those used for BSD. There is an RFC for Kerberos 5: RFC 1510..
Ketamine - judgment, and coordination for 18 to 24 hours. Ketamine sold on the streets comes from diverted legitimate supplies, primarily veterinary clinics. Its appearance is similar to that of pharmaceutical grade cocaine, and it is snorted, placed in alcoholic beverages, or smoked in combination with marijuana. The incidence of ketamine abuse is increasing, and accounts of ketamine abuse appear in reports of rave parties attended by teenagers. Ketamine was placed in Schedule III of the United States Controlled Substance Act in August 1999. Like the other disassociative anesthics DXM and PCP, hallucinations caused by Ketamine are fundamentally different then caused by tryptamines and phenethlyamines. Primarily in order to experience any hallucinations the user must be in a dark room or have his eyes closed. Ketamine puts the user in a dissociated state,.
Kernel (algebra) - this quotient space is naturally isomorphic to the image of T (which is a subspace of W). As a consequence, the dimension of V equals the dimension of the kernel plus the dimension of the image. If V and W are finite-dimensional and bases have been chosen, then T can be described by a matrix M, and the kernel can be computed by solving the homogenous system of linear equations Mv = 0. In this representation, the kernel corresponds to the nullspace of M. The dimension of the nullspace, called the nullity of M, is given by the number of columns of M minus the rank of M, as a consequence of the rank-nullity theorem. Solving homogeneous differential equations often amounts to computing the kernel of certain differential operators. For instance,.
