The natural setting for the uniform boundedness principle is a barrelled space where the following generalized version of the theorem holds: Given a barrelled space X and a locally convex space Y, then any family of pointwise bounded continuous linear mappings from X to Y is equicontinuous (even uniformly equicontinuous). ...

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Uniform boundedness principle, Uniform boundedness principle - Uniform boundedness principle, Uniform boundedness principle - Generalization

Read more here: » Uniform boundedness principle: Encyclopedia II - Uniform boundedness principle - Generalization

More precisely, let X be a Banach space and N be a normed vector space. Suppose that F is a collection of continuous linear operators from X to N. The uniform boundedness principle states that if for all x in X we have then Using the Baire category theorem, we have the following short proof: ...

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Uniform boundedness principle, Uniform boundedness principle - Uniform boundedness principle, Uniform boundedness principle - Generalization

Read more here: » Uniform boundedness principle: Encyclopedia II - Uniform boundedness principle - Uniform boundedness principle

Historically, the first principle of relativity that was formulated was a principle of relativity of uniform motion suggested by the observation that there doesn't seem to be a phenomenon in dynamics that will allow an observer to establish a zero point of velocity, nor a preferred direction. Every choice of a zero point of velocity, a choice necessary in order to perform a calculation, constitutes a choice of reference frame. All reference frames that move with respect to each other with constant velocity and in a straight lin ...

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Principle of relativity, Principle of relativity - Galilean relativity, Principle of relativity - Special relativity, Principle of relativity - General relativity

Read more here: » Principle of relativity: Encyclopedia II - Principle of relativity - Galilean relativity

If one assumes that both the Maxwell equations are valid, and that Galilean transformation is the appropriate transformation, then it should be possible to measure velocity absolutely. Poincaré and Einstein noticed that if one assumes that the Lorentz transformations are the appropriate transformations for transforming between inertial reference frames, then that constitutes a principle of relativity that is compatible with the Maxwell equations. Special relativity restored a principle of relativity in physics. The Maxwell equations ...

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Principle of relativity, Principle of relativity - Galilean relativity, Principle of relativity - Special relativity, Principle of relativity - General relativity

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When accelerated motion is involved, there are phenomena that will allow an observer to establish a zero point, there are phenomena that determine a preferred reference frame. For example the case of rotation: the astronomer Schwarzschild had noted that in the solar system the lines connecting the aphelia and perihelia of the planets do not rotate with respect to each other and with respect to the background of the fixed stars (apart from an unexplained precession of the perihelion of Mercury). Also it could be seen from astronomical observa ...

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Principle of relativity, Principle of relativity - Galilean relativity, Principle of relativity - Special relativity, Principle of relativity - General relativity, Principle of relativity - references and links

Read more here: » Principle of relativity: Encyclopedia II - Principle of relativity - General relativity

Galileo's principle of relativity said that every choice of a zero point of velocity, a choice necessary in order to perform a calculation, constitutes a choice of reference frame. All reference frames that move with respect to each other with constant velocity and in a straight line are called inertial (or non accelerating) reference frames. The circularity of this definition is a necessity, since no preferred inertial reference frame is proposed. In Galilean relativity, reference frames are related to each other in an intuitive way: ...

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Principle of relativity, Principle of relativity - Galilean relativity, Principle of relativity - Special relativity, Principle of relativity - General relativity, Principle of relativity - references and links

Read more here: » Principle of relativity: Encyclopedia II - Principle of relativity - Galilean relativity

NLP has been desribed by its creators as "the study of the structure of subjective experience". This merits further expansion: Subjectivity is distinguished from objectivity in both science and philosophy. Objectivity attempts to be the study of "reality". Subjectivity by contrast is focussed on how people experience and conceive reality. It assumes that whilst there may be an absolute reality, and knowing it may be beneficial, for the most part a person does not and cannot in fact "know" it, but can only know what they perceiv ...

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Principles of NLP, Principles of NLP - Stated purpose of NLP, Principles of NLP - NLP as described by its major developers and promoters, Principles of NLP - Philosophical stance of NLP, Principles of NLP - Self-declared scope of NLP, Principles of NLP - Specific principles within NLP, Principles of NLP - The map is not the territory, Principles of NLP - Life and 'Mind' are Systemic Processes, Principles of NLP - Behind every behavior is a positive intention, Principles of NLP - Rapport, Principles of NLP - There is no failure only feedback, Principles of NLP - Choice is better than no choice and flexibility is the way one gets choice, Principles of NLP - The meaning of your communication is the response you get, Principles of NLP - People already have all the resources they need to succeed, Principles of NLP - Multiple descriptions are better than one, Principles of NLP - Other beliefs, Principles of NLP - NLP's approach to clinical conditions, Principles of NLP - Criticisms of the principles of NLP

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NLP is sometimes described as an empirical epistemology. That is, it is a way of knowing whose evidence is experiment and observation, rather than results derived from some overall theory. It is eclectic, that is, it draws heavily on results from other fields if felt useful, and acts as a "toolbox" [REF] in the sense that it is silent as to any pre-specified purpose or application, leaving that ultimately to the end user(s) to decide. As such, it studi ...

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Principles of NLP, Principles of NLP - Stated purpose of NLP, Principles of NLP - NLP as described by its major developers and promoters, Principles of NLP - Philosophical stance of NLP, Principles of NLP - Self-declared scope of NLP, Principles of NLP - Specific principles within NLP, Principles of NLP - The map is not the territory, Principles of NLP - Life and 'Mind' are Systemic Processes, Principles of NLP - Behind every behavior is a positive intention, Principles of NLP - Rapport, Principles of NLP - There is no failure only feedback, Principles of NLP - Choice is better than no choice and flexibility is the way one gets choice, Principles of NLP - The meaning of your communication is the response you get, Principles of NLP - People already have all the resources they need to succeed, Principles of NLP - Multiple descriptions are better than one, Principles of NLP - Other beliefs, Principles of NLP - NLP's approach to clinical conditions, Principles of NLP - Criticisms of the principles of NLP

Read more here: » Principles of NLP: Encyclopedia II - Principles of NLP - Philosophical stance of NLP

There are two basic arguments for the principle of explosion. Principle of explosion - The semantic argument. The first argument is semantic in nature. A sentence φ is a semantic consequence of a set of sentences Γ just in case every model of Γ is a model of φ. But there is no model of the contradictory set . A fortiori, there is no model of that is not a model of See also:

Principle of explosion, Principle of explosion - Arguments for explosion, Principle of explosion - The semantic argument, Principle of explosion - The proof-theoretic argument, Principle of explosion - Rejecting the principle

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The Pauli exclusion principle plays a role in a huge number of physical phenomena. One of the most important, and the one for which it was originally formulated, is the electron shell structure of atoms. An electrically neutral atom contains bound electrons equal in number to the protons in the nucleus. Since electrons are fermions, the Pauli exclusion principle forbids them from occupying the same quantum state. For example, consider a neutral helium atom, which has two bound electrons. Both of these electrons can occupy the lowest-e ...

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Pauli exclusion principle, Pauli exclusion principle - Connection to quantum state symmetry, Pauli exclusion principle - Consequences, Pauli exclusion principle - Exceptions

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For Vector Fields, the principle of superposition states that the net displacement at a given place and time caused by two or more waves traversing the same space is the vector sum of the displacements which would have been produced by the individual waves separately. If the resultant sum is greater than either (displacement of an) individual wave, the event occurring when the waves meet is called constructive interference, and amplitude at that point is increased. When the resultant sum is less than either displacement, then destruct ...

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Superposition principle, Superposition principle - Vector Fields, Superposition principle - Time-Varying Signals

Read more here: » Superposition principle: Encyclopedia II - Superposition principle - Vector Fields

The KISS principle today is often used by software developers, meaning the software should be designed in the simplest way, avoiding creeping featurism. More particularly, it is a leading principle in designing critical low-level routines of operating system kernels (at least for Linux), where it suggests to write the code in the most simple and self-explaining manner, to avoid errors (or make it easy to find them). Some suggest that Unix was invented by following the KISS principle. It is also used in games (to keep game developers from making too complex games) and story development ...

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KISS principle, KISS principle - Etymology, KISS principle - Application, KISS principle - Modern usage

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The doctrine has practical applications, for example in just war theory, where the deliberate targeting of civilians to demoralise the enemy may be ruled out, but the bombing of munitions plants may be allowed, even if both actions cause the same number of deaths and end the war in the same length of time. The doctrine is relevant to certain medical cases. The administration of a high dosage of painkillers is sometimes allowed for the relief of pain in cases of terminal illness, even when this will cause death as a side effect. Some (including most Catholic ethicists) hold that this is morally d ...

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Principle of double effect, Principle of double effect - Intentional harm versus side-effects, Principle of double effect - Catholic view, Principle of double effect - Applications, Principle of double effect - Controversy, Principle of double effect - External link

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Substance-Principle.

See PRINCIPLE

(See also: Substance-Principle, Mysticism, Mysticism Dictionary, Body mind and Soul)

Masculine Principle.

See MALE PRINCIPLE

(See also: Masculine Principle, Mysticism, Mysticism Dictionary)

principle: An essential truth, law or rule upon which others are based.

(See also: Principle, Hinduism, Body Mind and Soul)

Male Principle or Masculine Principle

One member of the primordial, universal duality which characterizes all manifestation, its correlative being the feminine principle. Other terms for this duality are Purusha and prakriti, spirit and matter, positive and negative, active and passive. Male or female, masculine or feminine, are attributed to cosmic principles merely because these principles, being universal and bipolar, express themselves throughout all the ranges of cosmic life.

Since human beings and animals belong to the ranges of cosmic life, and in their present evolutionary stage are passing through the period of quasi-unipolar development which is called sex, its terms have been somewhat arbitrarily used in attempting to describe the bipolarity of the cosmic principles. Strictly speaking, these cosmic principles are non-male and non-female. The same descriptive habit runs throughout all theology, as when deities were described as gods and goddesses.

In the Qabbalistic Sephirothal Tree some of the Sephiroth are paired, as are the aeons in the system of Simon Magus and Valentinus.

See also DUAD

(See also: Male Principle, Masculine Principle, Mysticism, Mysticism Dictionary)

Second Principle When the seven human principles are counted from above, buddhi; when from below, linga-sarira.

(See also: Second Principle, Mysticism, Mysticism Dictionary)

Teleological Principle {MIE 104, 118}

(See also: Teleological Principle, Mysticism, Mysticism Dictionary, Body mind and Soul)

Fifth Principle. See MANAS

(See also: Fifth Principle, Mysticism, Mysticism Dictionary, Occultism, Occultism Dictionary)

Element-Principles. See TATTVA

(See also: Element-Principles, Mysticism, Mysticism Dictionary, Occultism, Occultism Dictionary)

Spiritual Principles Atma and buddhi are the two essentially spiritual principles in man; and manas is to be classed as a spiritual principle when it is the vehicle for atma-buddhi, although manas itself is monadic in essence, and therefore at its heart -- but not in its present manifested condition or evolutionary state -- is as spiritual as the two former. There is an atman and a buddhi of the manas itself, and belonging to the manasic principle itself; and it is precisely this svabhavic atma-buddhi in the manas which allows the atman and buddhi principles to coalesce with the manas and use it.

(See also: Spiritual Principles, Mysticism, Mysticism Dictionary, Body mind and Soul)