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Topic: Complex power

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Phasor (electronics)

Imaginary number

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	AC power -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-26)
		Where the waveforms are purely sinusoidal, the power factor is the cosine of the phase angle between the current and voltage sinusoid waveforms.
		Power factor equals unity (1) when the voltage and current is in phase, and is zero when the current leads or lags the voltage by 90 degrees.
		By convention, capacitors are said to generate reactive power whilst inductors are said to consume it (this probably comes from the fact that most real life loads are inductive and so reactive power has to be supplied to them from power factor correction capacitors).
	www.absoluteastronomy.com /encyclopedia/a/ac/ac_power1.htm (874 words)

	Search Results for Edificecomplex:power,mythaandMarc... - Encyclopædia Britannica
		power transmitted by the controlled circulation of pressurized fluid, usually a water-soluble oil or water–glycol mixture, to a motor that converts it into a mechanical output capable of doing work...
		Measured in terms of a nation's capacity to use the seas in defiance of rivals and competitors, it consists of such diverse elements...
		Power prayer is an exciting, charismatic part of praying for a Christian.
	britannica.com /search?query=Edificecomplex:power,mythaandMarc... (564 words)

	Lessons In Electric Circuits -- Volume II (AC) - Chapter 11
		Mathematically representing power in an AC circuit is a challenge, because the power wave isn't at the same frequency as voltage or current.
		Power factor can be an important aspect to consider in an AC circuit, because any power factor less than 1 means that the circuit's wiring has to carry more current than what would be necessary with zero reactance in the circuit to deliver the same amount of (true) power to the resistive load.
		Poor power factor in an AC circuit may be ``corrected,'' or re-established at a value close to 1, by adding a parallel reactance opposite the effect of the load's reactance.
	www.ibiblio.org /obp/electricCircuits/AC/AC_11.html (2946 words)

	Power
		Whether it is the imperative of shifting weight within their spheres of power to remain on top or the need to perceive and evaluate resistants within their power complex, they can draw inspiration from abstract concepts for developing concrete strategies.
		While the situation involved more complex power components which we shall develop later, the case in point here is that Khomeyni's vengeful stubbornness was a factor in the continuation of the fighting to the detriment of Iran.
		As the fluid area between power complexes that have lateral connections is filled by their respective expansions, the lateral connections may evolve into diagonal relationships which could be symbiotic or commensal and eventually turn into a hierarchy.
	www.complexapproach.com /Power/powerindex.htm (7645 words)

	Complex Power-Sharing: about (Site not responding. Last check: 2007-10-26)
		Complex power sharing arrangements are thus in practice distinct, in that they no longer depend solely on consociational theory, or solely upon integrative theory.
		Complex power-sharing arrangements thus appreciate that at different levels of government, different strategies may be more, or less, applicable, and consequently more, or less, successful, in engendering peace and stability.
		Complex agreements also seek to underline the importance of all actors, whether they be elites or otherwise, as being potentially instrumental in success.
	www.ecmi.de /cps/about_what.html (676 words)

	PlanetMath: general power
		This shows that both the modulus and the argument of the general power are in general multivalued.
		Cross-references: unit circle, circumference, integer, positive, origin, modulus, imaginary parts, real, exponent, complex logarithm, complex exponential function, complex numbers
		This is version 22 of general power, born on 2004-10-10, modified 2005-06-17.
	planetmath.org /encyclopedia/Branch3.html (160 words)

	Sequencers simplify complex power designs: News from Xicor
		The family solves simple to complex power sequencing problems in which one to several devices can be cascaded to control a large number of multivoltage supply sources.
		Power sequencers are used in various applications in the communications, consumer, and industrial markets.
		This feature is significant for smart power designs by providing system diagnostics to determine the status of the control mechanisms of each of the voltage supply paths.
	www.electronicstalk.com /news/xic/xic128.html (507 words)

	Building Strength and Power with Complex Training
		"Complex training matches pairs of exercises from two sources: a resistance training pool and a plyometric [power/speed] pool." According to Chu, "by itself, strength training will produce results, but not to the same level" as training simultaneously with a similar, explosive plyometric movement.
		Therefore, for the purpose of this article, complex training will be defined as utilizing a strength movement followed by a similar, explosive plyometric movement or utilizing a plyometric movement followed by a related strength movement.
		Repetitions for complex training need to be kept low for both your strength and power exercises.
	www.strengthcats.com /complextraining.htm (1435 words)

	Howstuffworks "How Power Grids Work"
		Electrical power is a little bit like the air you breathe: You don't really think about it until it is missing.
		It is only during a power failure, when you walk into a dark room and instinctively hit the useless light switch, that you realize how important power is in your daily life.
		Power travels from the power plant to your house through an amazing system called the power distribution grid.
	www.howstuffworks.com /power.htm (223 words)

	National Semiconductor’s New Family of Synchronous Controllers Handle the Complex Power Requirements of DSPs, FPGAs ...
		Power up and down sequencing is achieved with the power-good flag, adjustable soft-start and output enable features.
		The power MOSFETs can run on a separate 1 V to 16 V input voltage rail, while the regulator is biased from a 3 V to 6 V, 2 mA rail.
		National’s power management revenue grew 29.7 percent in 2003 over the previous year, compared to 17.3 percent growth for the industry during the same time period.
	www.national.com /news/item/0,1735,952,00.html (847 words)

	BBC NEWS
		Iran's complex and unusual political system combines elements of a modern Islamic theocracy with democracy.
		A network of unelected institutions controlled by the highly powerful conservative Supreme Leader is countered by a president and parliament elected by the people.
		But with hardliners' regaining control of the parliament in 2004 and the presidency in 2005, all the organs of government are now dominated by conservatives.
	news.bbc.co.uk /2/shared/spl/hi/middle_east/03/iran_power/html/default.stm (126 words)

	Complex number to a complex power may be real (Site not responding. Last check: 2007-10-26)
		I just have some thoughts to add to the contents of the page entitled "Complex number to a complex power may be real".
		Your page titled "Complex number to a complex power may be real" caught my attention, because the example you use, while simple, is still not well known.
		These two examples of powers, and the number of values that result, are actually very closely related.
	www.cut-the-knot.org /do_you_know/complex.shtml (662 words)

	Circuit Theory/Sinusoidal Sources/Complex Power - Wikibooks
		Just like the other values of voltage, current, and resistance, power also has a complex phasor quantity that we are going to become familiar with.
		The relationship between the average power, and the apparent power is called the power factor.
		This means that to be able to accurately calculate the phase angles of the current and the voltage from the power factor, we need an additional specifier of either leading or lagging.
	en.wikibooks.org /wiki/Circuit_Theory_2:Complex_Power (387 words)

	EGGN 484 Lecture 3 (Site not responding. Last check: 2007-10-26)
		Calculate apparent, average, and reactive power in the phasor domain, and plot them in a power triangle.
		A phasor is a representation of a sinusoidal voltage or current as a vector rotating about the origin of the complex plane.
		Another assumption that is made is that the magnitude of any voltage or current as a function of time is the real part of its complex representation.
	egweb.mines.edu /eggn484/Lecture03.html (278 words)

	OPTIMUM NUTRITION Pro Complex PM: Power Nutrition Depot.com (Site not responding. Last check: 2007-10-26)
		Pro Complex™ PM is an Augmented Protein System (APS) specifically formulated to help support muscle recovery and repair while you sleep.
		The APS in Pro Complex™ PM includes a blend of complete (Calcium, Magnesium, Potassium and Sodium Caseinates plus Whey Protein Isolate) and partially hydrolyzed proteins (Glutamine Peptides, Hydrolized Whey Peptides) as well as isolated amino acids like L-Glutamine, L-Arginine, L-Taurine and the three Branched Chain Amino Acids (BCAAs).
		Power Nutrition Depot (PND), its affiliates and associates are not responsible for any company's claims on its products on this web site.
	www.powernutritiondepot.com /page/PND/PROD/00003-00136/48927100 (235 words)

	Foreign Policy In Focus \| Special Report \| The U.S. Power Complex: What’s New
		The bipolar power balance kept U.S. in the check—constraining its unilateral, interventionist impulses while obliging it to rely on the “soft power” of aid and diplomacy to maintain allegiances.
		By the 1980s the realpolitik constraints on U.S. power began to loosen, as the U.S. sensed deepening deterioration of Soviet power and of the credibility of the socialist alternative.
		America is suffering from a power complex that is distorting national priorities.
	fpif.org /papers/02power/index_body.html (3444 words)

	powser.htm Complex Power Series
		The number R is called the radius of convergence of the power series.
		Within the open disk of convergence, it follows that function represented by a power series has derivatives of all orders which are represented by the series differentiated term by term.
		For now interpret the integral as being on the straight line path from 0 to the point z.
	www.math.uic.edu /~lewis/hon201/powser.htm (213 words)

	Microwave Journal: Design of a predistortive high power amplifier using carrier complex power series analysis. ...
		In this article, a new carrier complex power series for linearizing the distortion effects of a high power amplifier (HPA) is proposed.
		The amplitude (AM-to-AM) and phase (AM-to-PM) nonlinear characteristics of the HPA are combined to generate a carrier complex power series.
		By using the proposed power series, the carrier-to-intermodulation ratio (C/I) of the HPA is improved by 17.01 dB at an output power of 25.43 dBm...
	www.findarticles.com /p/articles/mi_go1592/is_200204/ai_n6957847 (210 words)

	TechOnLine - Complex Power Management: An Imperative for Modern System Design (Site not responding. Last check: 2007-10-26)
		Increasing performance is usually achieved by increasing the operating frequency or by using more powerful, higher density VLSI ICs (or both).
		Consequently, advanced power management techniques are imperative to increase performance and reliability within a power budget.
		In these systems, overall system-level power consumption is controlled by a processor in the control card called the shelf manager.
	www.techonline.com /community/home/39068 (134 words)

	Bruderheim REA — Figuring out a complex power bill
		That is, for example, some of the poles and lines over which the power is being transmitted along the roads, and the lines connecting the transformers in the farm yards to the main lines on the road.
		Load settlement charge — The power bought in the "deregulated" and "competitive" market is sold at varying rates, depending on what price bids by the producers are accepted at any given time.
		Instead of receiving power at a more advantageous price to consumers, many consumers (e.g: factories and steel plants), had to introduce shift work, so as to be able to take advantage of lower prices during the off-hours of consumption.
	www.fathersforlife.org /REA/bill2.htm (4200 words)

	Complex Power Functions in Rectangular Coordinates (Site not responding. Last check: 2007-10-26)
		When we graph a function of a complex variable, we already need two real dimensions for the range, and two more for the domain.
		To see why this is so, observe that the corner (1, 1) of the square is sent into (1, 1, 0, 2), and the other three corners are similarly sent to points with coordinates of absolute value greater than 1.
		We summarize this investigation of the graph of the complex squaring function in rectangular coordinates by situating the two images at the vertices of a diagram, with arrows between the vertices.
	www.geom.uiuc.edu /~banchoff/script/CFGPow.html (334 words)

	How a butterfly's wing can bring down Goliath / Chaos theories calculate the vulnerability of megasystems
		The massive power failure on the East Coast illustrates the risk of building ever-larger power networks to transmit electricity, experts said Thursday.
		The effect is well-known to physics experts in the fields of complexity theory, chaos theory and the theory of self-organized criticality.
		Even before complexity theory became trendy in the 1980s, many researchers realized that innumerable natural and social phenomena defy easy scientific explanation because they're so complex.
	sfgate.com /cgi-bin/article.cgi?f=/c/a/2003/08/15/MN191082.DTL (719 words)

	Controllers handle complex power requirements: News from National Semiconductor (Site not responding. Last check: 2007-10-26)
		The new LM274x family of high-speed synchronous switching regulator controllers run from a 1 to 16V input power rail and provide output voltages down to 0.6V.
		The LM2742 operates from a low-current 5V bias rail and converts from a 1 to 16V power rail.
		The power MOSFETs can run on a separate 1 to 16V input voltage rail, and the regulator is biased from a 3 to 6V, 2mA rail.
	www.electronicstalk.com /news/nat/nat293.html (647 words)

	College Mathematics Journal, The: Complex Power Iteration / A Beautiful New Playground--Further Investigations into i ... (Site not responding. Last check: 2007-10-26)
		A Beautiful New Playground-Further Investigations into i to the Power i, Greg Packer and Steve Roberts.
		It is well known and not hard to show that the principal value of i' is e 0.2079.
		Finally, the authors replace both i and Ao in the original iteration by a complex number z, and again plot points with different colors depending upon the rate of convergence.
	www.findarticles.com /p/articles/mi_qa3773/is_199901/ai_n8843429 (310 words)

	Hydroelectric power (Site not responding. Last check: 2007-10-26)
		Alabama Power has 14 hydroelectric facilities throughout the state which provide 7.2% of the company's power generation.
		The Bureau of Hydroelectric Power shall report to the Administrator of the operation of the City owned hydroelectric power generating facilities.
		At a hydroelectric power station, electricity is generated by utilizing the The electrical output of a hydroelectric power plant is determined by the
	supersearching.com /k/hydroelectric-power.html (1074 words)

	Technical articles: Unique Solutions to Complex Power Supply Test Applications
		Specialized power supplies, located in the pylons of the fighter, provide the power and control for launching a variety of missiles.
		A complex arrangement of relays and launch control signals interlocks and releases the missile at the appropriate command.
		Precise voltage pulses must be applied and measured to determine correct operation of the power supplies.
	www.autotest.com /News/nl995-4.htm (468 words)

	Palo Verde Nuclear Power Complex
		Largest nuclear power complex in the country, and the12th largest in the world.
		The facility cost nearly $6 billion, and took twelve years to build, with the last reactor completed in 1988.
		With a net capacity of 3,663 megawatts, the three reactor units generate power for nearly 4 million people, and the complex is a major source of power for Phoenix and Southern California.
	ludb.clui.org /ex/i/AZ3159 (83 words)

	complex power
		This Java Script calculator raises a complex number to a complex power.
		To operate the calculator, enter the real and imaginary parts of the base number and the exponent.
		You must determine the suitability of this source code for your use.
	home.att.net /~srschmitt/script_complex_power.html (203 words)

	Question Corner -- Raising a Number to a Complex Power
		To extend the definition to irrational and then to complex values of x, you need to rewrite the definition in a way that makes sense even when r is complex.
		It makes perfectly good sense to add and multiply complex numbers, and the theory about infinite sums can also be extended to complex numbers, so this formula can be used as a definition of what e^x means when x is complex.
		This is illustrated in the answer to another question, where it is shown that the expression i^i has an infinite set of possible values.
	www.math.toronto.edu /mathnet/questionCorner/complexexp.html (682 words)

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