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  • ...[[complex number]]s. Every real number is a complex number, but not every complex number is a real number. ...
    6 KB (971 words) - 01:36, 21 August 2017
  • In a synthesis reaction, two or more simple substances combine to form a more complex substance. ...e is simple hydrogen gas combined with simple oxygen gas to produce a more complex substance, such as water.<ref name="to react or not to react">[http://utahs ...
    5 KB (701 words) - 12:12, 4 June 2017
  • ...e root is a [[complex number]]. For example, square root of '''-4''' is a complex number '''2''[[imaginary unit|i]]''''' :<math display="block">\sqrt{-4} = 2 ...
    3 KB (526 words) - 04:59, 30 June 2016
  • {{complex|date=March 2012}} {{complex|date=March 2012}} ...
    3 KB (427 words) - 19:05, 27 March 2017
  • {{complex|date=April 2012}} ...c energy, although this may not be helpful to those not familiar with more complex physics. ...
    3 KB (561 words) - 06:11, 16 June 2016
  • {{complex|date=April 2012}} ...
    1 KB (154 words) - 07:17, 12 January 2015
  • A [[real number|real]] or [[complex number]] is called a '''transcendental number''' if it cannot be found as a ...
    1 KB (199 words) - 20:58, 16 March 2013
  • ...e given area, since the normal answer for the wave function is usually a [[complex number]]. The wave function concept was first introduced in the legendary [ ...
    1 KB (187 words) - 14:02, 12 November 2014
  • === Complex numbers === ...rt and an ''imaginary'' part. Every type of number written above is also a complex number. ...
    14 KB (2,057 words) - 01:36, 21 August 2017
  • {{complex|date=March 2012}} The Big O Notation is often used in identifying how complex a problem is (also known as the problem's [[complexity class]]). ...
    4 KB (700 words) - 14:03, 20 September 2015
  • {{complex|date=April 2012}} ...
    1 KB (189 words) - 07:34, 13 September 2016
  • {{complex|date=March 2012}} ...
    1 KB (200 words) - 15:36, 12 March 2013
  • {{Complex|date=June 2012}} ...
    1 KB (199 words) - 07:36, 12 January 2015
  • {{complex|date=September 2011}} ...
    1 KB (222 words) - 13:32, 21 June 2017
  • ...he model. Since individual outcomes might be of little practical use, more complex ''events'' are used to characterize groups of outcomes. The collection of a ...
    2 KB (250 words) - 19:23, 8 November 2016
  • {{complex|date=June 2012}} ...
    1 KB (195 words) - 08:01, 30 March 2017
  • <!-- comment out really complex information ...
    2 KB (231 words) - 00:24, 15 February 2014
  • {{complex|date=June 2014}} ...
    1 KB (200 words) - 00:02, 2 January 2015
  • {{complex|date=July 2012}} ...
    1 KB (198 words) - 04:44, 5 May 2016
  • ...e [[fundamental theorem of algebra]], in the form of a generalisation in [[complex numbers]]. ...
    1 KB (269 words) - 18:04, 4 May 2016
  • * some of the roots may be [[complex number]]s ...
    2 KB (288 words) - 19:05, 9 March 2015
  • Wavelet is (complex) function from the [[Hilbert space]] <math>\psi \in L^{2}(\mathbb{R})</math ...
    2 KB (280 words) - 16:47, 26 March 2017
  • ...[[rational numbers]] by including square roots of positive numbers. The [[complex numbers]] are a closure of the real numbers by including square roots of ne ...
    2 KB (271 words) - 03:33, 15 January 2015
  • ...z'')) is an [[wikt:extend|extension]] of the [[factorial]] function to all complex numbers except negative, integers. The argument of the function is shifted ...lex numbers]]. But it is not defined for negative integers and zero. For a complex number whose real part is not a negative integer, the function is defined b ...
    8 KB (1,133 words) - 09:45, 26 June 2017
  • * [[Complex number]] ...
    2 KB (303 words) - 17:40, 15 February 2016
  • {{complex}} ...
    2 KB (308 words) - 18:29, 1 November 2016
  • {{complex|date=October 2011}} ...^\infty {\alpha \choose i} x^i\quad\mbox{ for all } |x| < 1 \mbox{ and all complex } \alpha\!</math> ...
    7 KB (1,090 words) - 18:10, 19 October 2014
  • {{Article issues|complex=July 2013|wikify=April 2009}} ...
    2 KB (282 words) - 23:05, 31 May 2017
  • {{complex}} ...
    2 KB (249 words) - 16:54, 23 January 2015
  • ...ically numbers that cannot be square rooted and get a real result. Every [[complex number]] except 0 has 2 square roots. For example: −1 has two square roots. ...
    2 KB (290 words) - 09:33, 2 February 2016
  • * <math>*</math> symbol denotes [[complex conjugate]]. ...
    2 KB (317 words) - 16:57, 23 January 2015
  • {{complex|date=November 2012}} ...
    2 KB (376 words) - 23:39, 8 March 2013
  • *[[Dielectric complex reluctance]] *[[Magnetic complex reluctance]] ...
    5 KB (744 words) - 13:27, 25 September 2014
  • {{complex|date=November 2011}} ...
    2 KB (309 words) - 00:58, 2 January 2015
  • {{complex|date=April 2012}} ...
    2 KB (386 words) - 03:46, 18 October 2014
  • {{Complex}} ...
    2 KB (431 words) - 21:21, 22 August 2017
  • ...ave no physical meaning (in fact, they are mathematically [[complex number|complex]]), yet the wave function contains all information that can be known about ...
    7 KB (1,105 words) - 21:06, 26 June 2017
  • ...frequency]], or picking out a signal at a particular frequency from a more complex signal. An ideal LC circuit does not have [[resistance]]. ...
    2 KB (395 words) - 17:40, 17 December 2015
  • ...[[diophantine equation]]. One may also look for solutions in the field of complex numbers. One can also look for solutions in real numbers. ...
    3 KB (410 words) - 06:25, 6 July 2016
  • {{complex|date=February 2012}} ...he discrete group of all <math> p</math>-power [[roots of unity]] in the [[complex number]]s. ...
    5 KB (835 words) - 22:27, 8 March 2013
  • ...The function ''ƒ'' can be either [[real number|real]] or [[complex number|complex]]. The Taylor series is then used to describe what the function looks like ...
    7 KB (1,081 words) - 10:05, 24 June 2017
  • {{complex|date=November 2011}} ...
    3 KB (414 words) - 06:04, 2 September 2015
  • ...or imaginary axis in the complex plane, to all logarithmic spirals in the complex plane with centre at 0. ([[Up to]] adding integer multiples of 2π''i'' to t ...
    7 KB (1,062 words) - 18:16, 9 March 2015
  • ...that show why they are the same number, but many of these proofs are very complex.<ref name="Katz">{{cite journal |last1=Katz |first1=K. |last2=Katz |first2= ...
    3 KB (505 words) - 16:43, 25 May 2017
  • {{complex|date=Oct 2016}} ...
    4 KB (515 words) - 18:40, 2 October 2016
  • {{complex|date=April 2012}} ...
    3 KB (499 words) - 22:30, 24 April 2017
  • {{complex|date=April 2012}} ...
    3 KB (474 words) - 09:45, 20 October 2014
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    3 KB (574 words) - 14:25, 26 October 2015
  • .... For instance the dot product of a vector with itself can be an arbitrary complex number, and can be zero without the vector being the zero vector; this in t ...<span style="text-decoration: overline">''b<sub>i</sub>''</span> is the [[complex conjugate]] of ''b<sub>i</sub>''. Then the scalar product of any vector wit ...
    17 KB (2,689 words) - 00:42, 2 June 2016
  • ...as ''3i'' to create ''2+3i''. These kinds of mixed numbers are known as [[complex number]]s. ...
    3 KB (567 words) - 22:50, 3 February 2016
  • hard an algorithm is called ''complexity''. When we ask how complex an algorithm is, often we want to know how long it will take a computer to ...he steps again many times. One would say that sorting by numbers is more ''complex''. ...
    10 KB (1,837 words) - 21:56, 31 August 2017
  • {{complex|date=January 2012}} ...
    4 KB (495 words) - 19:17, 27 May 2017
  • For [[Complex (chemistry)|coordination complexes]] containing [[transition metal]]s, the ...
    3 KB (511 words) - 00:27, 12 August 2017
  • * the [[complex number]]s <math>\mathbb{C}</math> ...
    4 KB (740 words) - 01:36, 21 August 2017
  • ...0 light years distant in the [[Rho Ophiuchi cloud complex|ρ Ophiuchi cloud complex]].<ref>{{cite book| author=Wilking B A.; Gagné M. & Allen L E. 2008. Star f ...
    6 KB (950 words) - 11:37, 2 November 2016
  • {{complex|date=December 2011}} ...
    3 KB (510 words) - 06:32, 17 October 2014
  • {{complex|date=October 2011}} ...
    4 KB (570 words) - 21:33, 20 October 2014
  • ...del]], or [[computer]] [[simulation]] of a relatively complex system. For complex systems, there are many equations and many variables, not just two or three ...
    10 KB (1,386 words) - 15:51, 19 June 2016
  • For more complex signals, an oscilloscope can be used the measured the DC and/or AC voltage, ...
    4 KB (668 words) - 21:23, 2 March 2016
  • {{complex|date=November 2011}} ...
    3 KB (462 words) - 22:41, 18 October 2014
  • {{complex|date=April 2012}} ...
    4 KB (633 words) - 05:47, 14 February 2016
  • {{complex|date=February 2012}} ...
    4 KB (642 words) - 19:51, 24 November 2016
  • {{complex|date=December 2011}} ...
    4 KB (677 words) - 11:57, 25 July 2016
  • {{complex|date=April 2012}} ...
    4 KB (741 words) - 19:32, 22 July 2016
  • {{complex|date=May 2013}} ...
    5 KB (707 words) - 11:24, 18 May 2013
  • {{complex|date=April 2012}} ...
    5 KB (766 words) - 22:24, 8 February 2015
  • {{complex|date=September 2011}} ...
    5 KB (705 words) - 06:46, 13 June 2017
  • {{complex|date=June 2012}} ...
    4 KB (527 words) - 00:40, 9 March 2013
  • {{complex|date=April 2012}} ...
    5 KB (736 words) - 02:59, 18 October 2014
  • ** C - [[Complex number]] |style="text-align:center;"|'''''[[Complex number|C]]''''' ...
    41 KB (4,624 words) - 01:45, 25 December 2015
  • ...n <math>{\rm F}</math> does not have to be ''invertible'', and can be very complex. ...
    5 KB (757 words) - 08:22, 4 April 2017
  • {{complex|date=May 2013}} ...
    5 KB (784 words) - 20:07, 20 May 2016
  • {{complex|date=June 2012}} ...} F^{cd}</math>. This changes the sign of some of ''F'''s components; more complex metric dualities can be seen in [[general relativity]]. ...
    15 KB (2,355 words) - 23:13, 6 September 2016
  • Chess is very complex. It is better to think of easier games. Nim, for example, is much simpler ...
    6 KB (1,097 words) - 23:35, 19 September 2015
  • {{complex|date=April 2012}} ...multiplication. For example, instead of [[real numbers]], scalars may be [[complex numbers]]; instead of arrows, vectors may be [[function (mathematics)|func ...
    13 KB (1,723 words) - 07:13, 11 November 2016
  • {{complex|date=December 2011}} ...
    7 KB (1,136 words) - 16:27, 4 November 2016
  • {{complex|date=December 2011}} ...
    9 KB (1,483 words) - 20:40, 29 October 2016
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...tp://en.wikipedia.org/wiki/Abstract_simplicial_complex abstract simplicial complex]), <math>\mathcal{F}_k</math> is formed by the shadow of <math>\mathcal{F}_ ...
    25 KB (4,480 words) - 04:58, 17 November 2010
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...tp://en.wikipedia.org/wiki/Abstract_simplicial_complex abstract simplicial complex]), <math>\mathcal{F}_k</math> is formed by the shadow of <math>\mathcal{F}_ ...
    25 KB (4,480 words) - 08:23, 16 August 2011
  • {{complex|date=December 2011}} ...
    8 KB (1,007 words) - 05:56, 15 September 2016
  • {{complex|date=July 2012}} ...
    6 KB (950 words) - 03:43, 21 August 2017
  • {{complex|2=The article needs more making-it-easy-to-understand or it doesn't need to ...
    12 KB (1,234 words) - 02:16, 5 September 2016
  • ...math besides [[geometry]], which studies shapes. Some of these areas are [[complex analysis]], [[trigonometry]], and [[Series (mathematics)|series]]. ...
    8 KB (1,232 words) - 17:17, 31 July 2017
  • {{complex|date=June 2017}} ...
    10 KB (1,551 words) - 10:37, 24 June 2017
  • ...number]]s || [[Integer]]s || [[Rational number]]s || [[Real number]]s || [[Complex number]]s ...
    9 KB (1,088 words) - 18:04, 22 August 2017
  • * <math>\mathbb{C}</math>, denoting the set of all [[complex number]]s. ...
    10 KB (1,884 words) - 16:03, 30 June 2015
  • ...ochondria of cells. The large number of reactions involved are exceedingly complex and not described easily. (They include [[cellular respiration]], [[anaerob ...
    8 KB (1,196 words) - 17:01, 24 May 2017
  • {{articleissues|redlinks=September 2011|complex=September 2011|refimprove=September 2011}} ...
    9 KB (1,269 words) - 01:38, 22 March 2015
  • ...thermodynamic characteristics that play an important role in understanding complex processes during the formation of substances; for instance, polymer cross-l ...
    10 KB (1,538 words) - 19:06, 20 August 2017
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...tp://en.wikipedia.org/wiki/Abstract_simplicial_complex abstract simplicial complex]), <math>\mathcal{F}_k</math> is formed by the shadow of <math>\mathcal{F}_ ...
    50 KB (8,991 words) - 12:23, 21 May 2023
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...tp://en.wikipedia.org/wiki/Abstract_simplicial_complex abstract simplicial complex]), <math>\mathcal{F}_k</math> is formed by the shadow of <math>\mathcal{F}_ ...
    50 KB (8,991 words) - 09:48, 20 May 2024
  • ...famous equations, like <tt>f = ma</tt> and <tt>e=mc^2</tt> (although more complex math beyond algebra was needed to come up with that last equation). ...
    13 KB (2,204 words) - 07:13, 30 July 2017
  • ...applications in Computer Science require to efficiently check whether two complex objects are identical, while the objects are presented implicitly (e.g., as ...
    16 KB (2,886 words) - 07:49, 13 November 2011
  • :Taylor approximation of non-vanishing complex-valued graph polynomials. ...
    21 KB (2,460 words) - 17:28, 7 March 2023
  • {{complex|date=December 2011}} ...
    13 KB (2,026 words) - 03:33, 17 October 2014
  • {{complex|date=December 2013}} ...purposes only, whereas in quantum mechanics the wave function is generally complex.]] ...
    42 KB (7,065 words) - 02:42, 24 August 2017
  • ...applications in Computer Science require to efficiently check whether two complex objects are identical, while the objects are presented implicitly (e.g., as ...
    20 KB (3,617 words) - 01:24, 8 June 2010
  • ...mallest things in nature like [[proton]]s, [[neutron]]s and [[electron]]s. Complex [[mathematics]] is used to study subatomic particles and electromagnetic wa ...[[calculus]]. It also requires [[Matrix (mathematics)|matrix algebra]], [[complex number]]s, [[probability theory]], and [[partial differential equation]]s. ...
    36 KB (5,991 words) - 08:00, 24 August 2017
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...
    32 KB (5,780 words) - 13:32, 2 December 2017
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...
    32 KB (5,780 words) - 07:54, 28 November 2019
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...
    32 KB (5,780 words) - 02:49, 24 November 2016
  • ...'''hereditary''' (also called an '''ideal''' or an '''abstract simplicial complex'''), if ...
    32 KB (5,800 words) - 07:57, 21 May 2014
  • {{complex|date=January 2012}} ...
    19 KB (2,913 words) - 21:36, 4 November 2015
  • ...infinite precision operation. However, no such guarantee is given for more complex functions and they are typically only accurate to within the last bit at be ...
    46 KB (7,060 words) - 01:36, 21 August 2017
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