Image Squareroot of 2 triangle.svg thumb 200px The squareroot of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1. The squareroot of 2 , often known as root2 and written ... 2 number 2 . It is more precisely called the principal squareroot of 2 , to distinguish it from the negative number with the same property. Geometrically the squareroot of 2 is the length of a diagonal ... root of 2. The quick approximation 99 70 1.41429 for the squareroot of two is frequently used. Despite .... Therefore the squareroot of 2 cannot be a rational number. This proof can be generalized to show ... of the squareroot of two One half of sqrt 2 , also 1 divided by the squareroot of 2, approximately ... circ sin 45 circ . math One interesting property of the squareroot of 2 is as follows math 1 over ... mean s. The squareroot of 2 can also be expressed in terms of the copies of the imaginary unit ... sqrt i i sqrt i i text and frac sqrt i i sqrt i i . math The squareroot of 2 is also the only real ... 2 cdot cdot cdot 2 math The squareroot of 2 appears in Vieta formula Vi te s formula for math 2 ... 70, 239 169, 577 408. The convergent p q differs from the squareroot of 2 by almost exactly math ... is p 2 q p q . Paper size The squareroot of two is the aspect ratio of paper ... Squareroot of 5 Silver ratio , 1 sqrt 2 The squareroot of two is the interval music Frequency ratios ... Squareroot of 2 is irrational , a collection of proofs http xn 2 tbo.net sqrt 2 .net , enthusiast site with realtime computation http www.subidiom.com sqrt2 SquareRoot of 2 Search Engine 2 billion searchable digits of sqrt 2 , pi , and math e DEFAULTSORT SquareRoot Of Two Category Algebraic numbers ..., illustration, and description of the root2 tablet from the Yale Babylonian Collection br http ... of the root2 tablet YBC 7289 from the Yale Babylonian Collection ref math 1 frac 24 60 frac 51 60 ..., ancient Greeks treated as an official secret the discovery that the squareroot of two is irrational ... more details
A squareroot of a matrix squareroot of a 2 by 2 matrix mathematics matrix M is another 2 by 2 matrix R such that M R sup 2 sup , where R sup 2 sup stands for the matrix product of R with itself. In many cases, such a matrix R can be obtained by an explicit formula. ref name somayya1 P. C. Somayya 1997 , http mathforum.org kb servlet JiveServlet download 13 1879293 6653929 548390 A 20Method 20for 20finding 20a 20Square 20Root 20of 20a 202x2 20Matrix.doc Root of a 2x2 Matrix , The Mathematics Education Vol.. XXXI. No. 1. Siwan, Bihar State. INDIA ref The general formula Let math M left begin array cc A & B C & D end array right math where A , B , C , and D may be real or complex numbers. Furthermore, let A D be the trace mathematics trace of M , and AD BC be its determinant . Let s be such that s sup 2 sup , and t be such that t sup 2 sup 2 s . That is, math s pm sqrt delta quad quad t pm sqrt tau 2 s math Then, if t 0, a squareroot of M is math R frac 1 t left begin array cc A s & B C & D s end array right math Indeed, the square of R is math begin array rcl R 2 & & displaystyle frac 1 t 2 left begin array cc A s 2 B C & A s B B D s C A s D s C & D s 2 B C end array right 3ex & & displaystyle frac 1 A D 2 s left begin array cc A A D 2s & A D 2s B C A D 2 s & D A D 2 s end array right M end array math Note that R may have complex entries even if M is a real matrix this will be the case, in particular, if the determinant is negative. Special cases of the formula In general, the formula above will provide four distinct square roots R , one for each choice of signs for s and t . If the determinant is zero but the trace is nonzero, the formula will give only two distinct solutions. Ditto if is nonzero and sup 2 sup 4 , in which case one of the choices for s will make ... zero that is, if D A and A sup 2 sup BC . In this case, if M is the null matrix with A B C D 0 , then the null matrix is also a squareroot of M othwerwise M has no squareroot. Simplified formulas ... more details
sqrt a 2 n sqrt 4 n a , math the computation of the squareroot of a positive number can be reduced ... root is the Shifting nth root algorithm , applied for math n 2 math . Square roots of negative and complex ... side as well as its negative is indeed a squareroot of x , since math i sqrt x 2 i 2 sqrt x ... 2 sup z the principal squareroot of z defined below , and its negative. Squareroot of an imaginary ... The squareroot of i is given by math sqrt i frac 1 2 sqrt 2 i frac 1 2 sqrt 2 frac sqrt 22 1 i . math ... right frac 1 sqrt 2 1 i . end align math Principal squareroot of a complex number To find a definition ... math sqrt z sqrt r , e i varphi 2 . math The principal squareroot function is thus defined ... ring we call an element b a squareroot of a iff b sup 2 sup a . In an integral domain , suppose the element a has some squareroot b , so b sup 2 sup a . Then this squareroot is not necessarily ... distinct square roots, namely 1 and 3. On the other hand, the element 2 has no squareroot. See ... 78462 squareroot of 2 article http antwrp.gsfc.nasa.gov htmltest gifcity sqrt2.1mil 1 million ... Square algebra Squareroot of a matrix Squareroot principle Notes reflist 2 References cite book ... , where h is the height and g is the acceleration of gravity. In mathematics , a squareroot of a number a is a number y such that y sup 2 sup a , or, in other words, a number y whose square algebra ... books?id Z9z7iliyFD0C&pg PA120 Extract of page 120 ref For example, 4 is a squareroot of 16 because 4 sup 2 sup 16. Every non negative real number a has a unique non negative squareroot, called the principal squareroot , which is denoted by math scriptstyle sqrt a math , where is called radical sign . For example, the principal squareroot of 9 is 3, denoted math scriptstyle sqrt 9 3 math , because nowrap 1 3 sup 2 sup 3 × 3 9 and 3 is non negative. The term whose root is being ... roots are denoted math scriptstyle pm sqrt a math see shorthand . Although the principal squareroot ... more details
The mean square fluctuation MSF is a measure of the deviation between the position of particle i and some reference position. math MSF frac 1 T sum t j 1 T x i t j tilde x i 2 math , where T is the time over which one wants to average, and math tilde x i math is the reference position of particle i. Typically this reference position will be the time averaged position of the same particle i, i.e. math overline x i math Note that the difference between Root mean square deviation bioinformatics RMSD and RMSF is that with the latter the average is taken over time, giving a value for each particle i. With RMSD the average is taken over the particles, giving time specific values. See also Root mean square Quadratic mean Root mean square deviation bioinformatics Root Mean Square Fluctuation calculated by GROMACS http www.gromacs.org documentation reference online g rmsf.html Category Statistical deviation and dispersion bioinformatics stub ... more details
root of a 2 by 2 matrix explicit formulas that give up to four square roots, if the matrix ... D 1 2 bigl begin smallmatrix 9&0 0&3 end smallmatrix bigr math , giving the squareroot math A 1 2 V ... quadratically to a squareroot A sup 1 2 sup , while math Z k math converges to its inverse, A sup ... quadratically to a squareroot A sup 1 2 sup . Compared to Denman Beavers iteration, an advantage of the Babylonian ... state . See also Holomorphic functional calculus Logarithm of a matrix Squareroot of 2Squareroot ...In mathematics , the squareroot of a matrix extends the notion of squareroot from numbers to Matrix mathematics matrices . A matrix B is said to be a squareroot of A if the matrix product B B is equal ... April year 1986 title Newton s Method for the Matrix SquareRoot journal Mathematics of Computation ..., Douglas W. Using Pythagorean triples to generate square roots of I sub 2 sub . The Mathematical ... definite squareroot, which can be called its principal squareroot. While the squareroot of an integer ... a squareroot whose entries are rational, yet not integral. For example, the matrix math bigl begin smallmatrix 0&4 1&5 end smallmatrix bigr math has a squareroot math bigl begin smallmatrix 2 3&4 3 1 3&7 3 end smallmatrix bigr math , as well as a squareroot that is an integer matrix math bigl begin smallmatrix 2& 4 1& 3 end smallmatrix bigr math . The other two square roots are the additive ... has math 2 n math square roots. This is because such a matrix A can be written in the form ... . Thus the square roots of A are given by math PD 1 2 P 1 math where math D 1 2 math is any squareroot matrix of D , which must be diagonal with diagonal elements equal to square roots of the diagonal elements of D since there are two possible choices for a squareroot of each diagonal ... squareroot a positive definite matrix has only positive eigenvalues, and each of these eigenvalues has only one positive squareroot and since the eigenvalues of the squareroot matrix are the diagonal ... more details
SquareRoot Day is an Holiday Unofficial holidays unofficial holiday celebrated on days when both the day of the month and the month are the squareroot of the last two numerical digit digit s of the year. ref cite news title A day getting to the root last Wong first Nicole C. work The Mercury News url http www.mercurynews.com mld mercurynews news 7854616.htm date 2004 02 02 accessdate 2007 02 20 archiveurl http web.archive.org web 20040818204722 http www.mercurynews.com mld mercurynews news 7854616.htm archivedate 2004 08 18 ref For example, the last SquareRoot Day was March 3, 2009 3 3 09 , and the next SquareRoot Day will be April 4, 2016 4 4 16 . The final SquareRoot Day of the century will occur on September 9, 2081. SquareRoot Days fall upon the same nine dates each century. Ron Gordon, a Redwood City, California high school teacher, created the first SquareRoot Day for September ... media outlets. ref cite news title Have a rootin tootin SquareRoot Day last Hill first Angela work ... share how they were celebrating the day. ref cite news title Math Fans to Celebrate SquareRoot Day work Yahoo News url http news.yahoo.com s ap 20090303 ap on fe st odd squareroot day date 2009 03 02 ... the holiday is by eating Square geometry square radish es, or other root vegetable s cut into shapes with square Cross section geometry cross section s thus creating a squareroot . ref cite news title SquareRoot Day revelers to party like it s 3 3 09 last Musil first Steven work cnet news url http ... 2009 03 02 ref Full list of SquareRoot Days SquareRoot Day occurs on the following dates each century 1 1 01 22 04 3 3 09 4 4 16 5 5 25 6 6 36 7 7 49 8 8 64 9 9 81 PLEASE do not add 10 10 00 or 2100 . 10 is not the squareroot of 00 please re read the definition of SquareRoot Day in the text ..., etc. is a SquareRoot Day even by extension. Thank you. User Finell Distribution of SquareRoot Days The number of years between consecutive SquareRoot Days in a century are consecutive odd numbers ... more details
orange span , i.e., the sine s functional squareroot the functional squareroot of that, the quarter ... SquareRoot Category Functional analysis mathanalysis stub es Media iteraci n eo Funkcia kvadrata ... more details
root of 2 and the squareroot of 3 , as it is the length of the hypotenuse of a right triangle ... be constructed from a 1 2 rectangle the root 4 rectangle , or directly from a square in a manner similar ... fraction 5 2 to both sides. Trigonometry Like 2 and 3, the squareroot of 5 appears extensively in the formulae ... ratio SquarerootSquareroot of 2Squareroot of 3 References reflist Category Mathematical constants ... 2.3C6EF372FE94F82C... Continued fraction math 2 cfrac 1 4 cfrac 1 4 cfrac 1 4 cfrac 1 4 ddots math The squareroot of 5 is the positive real number that, when multiplied by itself, gives the prime number 5 number 5 . It is more precisely called the principal squareroot of 5 , to distinguish it from ... of the squareroot of 5 ref Proof of irrationality This irrationality proof for the squareroot ... thumb The fraction 5 2 diagonal of a half square forms the basis for the geometrical construction ... between the squareroot of 5, the golden ratio and the golden ratio Golden ratio conjugate conjugate ... 1 2 . math See section below for their geometrical interpretation as decompositions of a root 5 rectangle. The squareroot of 5 then naturally figures in the closed form expression for the Fibonacci ... smaller triangles. geometry Geometrically , the squareroot of 5 corresponds to the diagonal ... corresponds to the length of the cube diagonal, which is the squareroot of three times the edge . Citation ... constructed using the diagonal of the previous root rectangle, starting from a square. ref ... numbers. The Kronecker Weber theorem therefore guarantees that the squareroot of five ... e 6 pi i 5 e 8 pi i 5 . , math Identities of Ramanujan The squareroot of 5 appears in various identities ...border 1 style float right border collapse collapse margin left 1em colspan 2 align center Irrational ... ratio . It can be denoted in nth root surd form as math sqrt 5 . , math It is an irrational ... multiplying, and canceling like additive terms gives math 5n 2 m 2 math and hence math tfrac m n sqrt ... more details
for the application of root mean square deviation to bioinformatics Root mean square deviation bioinformatics The root mean square deviation RMSD or root mean square error RMSE is a frequently used measure of the differences between values predicted by a model or an estimator and the values actually observed. RMSD is a good measure of Accuracy and precision accuracy . Citation needed date January 2012 These individual differences are also called Errors and residuals in statistics residuals , and the RMSD serves to aggregate them into a single measure of predictive power. Formula The RMSD of an estimator math hat theta math with respect to the estimated parameter math theta math is defined as the squareroot of the mean square error math operatorname RMSD hat theta sqrt operatorname MSE hat theta sqrt operatorname E hat theta theta 2 . math For an unbiased estimator , the RMSD is the squareroot of the variance, known as the standard error statistics standard error . In some disciplines, the RMSD is used to compare differences between two things that may vary, neither of which is accepted as the standard . For example, when measuring the average distance between two oblong objects, expressed as random vector s math mathbf theta 1 begin bmatrix x 1,1 x 1,2 vdots x 1,n end bmatrix qquad mathrm and qquad mathbf theta 2 begin bmatrix x 2,1 x 2,2 vdots x 2,n end bmatrix . math The formula becomes math operatorname RMSD mathbf theta 1, mathbf theta 2 sqrt operatorname MSE mathbf theta 1, mathbf theta 2 sqrt operatorname E mathbf theta 1 mathbf theta 22 sqrt frac sum i 1 n x 1,i x 2,i 2 n . math Normalized root mean square deviation The normalized root mean square deviation or error NRMSD or NRMSE is the RMSD divided by the range of observed values, Citation needed date February 2012 or math mathrm NRMSD frac mathrm RMSD x max x min math the value is often expressed as a percentage ... RMSE are used to calibrate models to measured building performance. See also Root mean square Squared ... more details
. See also Squareroot of 2Squareroot of 5 References reflist cite journal title 22900D approximations to the square roots of the primes less than 100 journal Mathematics of Computation volume ... value. A close fraction is math tfrac 97 56 math 1.7321 42857... . The squareroot of 3 is an irrational ... of irrationality This irrationality proof for the squareroot of 3 uses Fermat s method of infinite ... tfrac m n sqrt 3 math . Geometry and trigonometry Image Root 3 Hexagon.svg thumb 200px The squareroot ... and the cosine of 30 both equal half of math sqrt 3 math . The squareroot of 3 also appears in algebraic ... axis ratio equal to the squareroot of three, this can be shown by constructing two equilateral triangles ... Theodorus Constant at MathWorld DEFAULTSORT Squareroot of three Category Algebraic ...border 1 style float right border collapse collapse colspan 2 align center Irrational numbers Binary numeral system Binary 1.1011101101100111101... Decimal 1.7320508075688772935... Hexadecimal 1.BB67AE8584CAA73B... Continued fraction math 1 cfrac 1 1 cfrac 1 2 cfrac 1 1 cfrac 1 2 cfrac 1 1 ddots math The squareroot of 3 is the positive real number that, when multiplied by itself, gives the number 3 number 3 . It is more precisely called the principal squareroot of 3 , to distinguish it from the negative number with the same property. It is denoted by math sqrt 3 . math The first sixty significant digits of its decimal expansion are 1.73205 08075 68877 29352 74463 41505 87236 69428 05253 81038 ... as the continued fraction 1 1, 2, 1, 2, 1, 2, 1, ... OEIS id A040001 , expanded on the right. It can also be expressed by generalized continued fraction s such as math 2 4, 4, 4, ... 2 cfrac ... math m 2 3n 2 math and hence math tfrac m n sqrt 3 math , which is true by the premise. The second ... math m 2n math since math tfrac m n 2 math since math sqrt 3 2 math . And both the numerator and the denominator ... angle triangle s hypotenuse is length one and the sides are of length 1 2 and math sqrt 3 2. math ... more details
Refimprove date March 2010 Other uses RMS disambiguation RMS In mathematics , the root mean square abbreviated ... function . The name comes from the fact that it is the squareroot of the mean of the square ... 2. Definition The RMS value of a set of values or a continuous time waveform is the squareroot of the arithmetic mean average of the square algebra squares of the original values or the square ... y a , math math a , math Sine wave math y a sin 2 pi ft , math math frac a sqrt 2 math Square wave .... By taking the squareroot of both these equations and multiplying them together, we get the equation ... with RMS voltage and RMS current, RMS power is the squareroot of the mean of the square of the power ... P mathrm input t rangle I Q V CC langle I mathrm out t rangle V CC . , math Root mean square speed main Root mean square speed In the physics of gas molecules, the root mean square speed is defined as the squareroot of the average speed squared. The RMS speed of an ideal gas is Maxwell Boltzmann ... speed, the average velocity for a stationary gas is zero. Root mean square error Main Root mean square ... root mean square as a synonym for standard deviation when referring to the squareroot of the mean ... being the root mean square of a signal s variation about the mean, rather than about 0, the DC component ... Mean squared error Root mean square deviation Table of mathematical symbols True RMS converter ... Rms.htm A Java applet on learning RMS DEFAULTSORT Root Mean Square Category Statistical deviation ... math x 1,x 2, dots,x n math , the RMS value is given by math x mathrm rms sqrt frac 1 n left x 1 2 x 22 cdots x n 2 right math The corresponding formula for a continuous function or waveform math f t math defined over the interval math T 1 le t le T 2 math is math f mathrm rms sqrt 1 over T 2 T 1 int T 1 T 2 f t 2 , dt , math and the RMS for a function over all time is math f mathrm rms lim T rightarrow infty sqrt 1 over T int 0 T f t 2 , dt . math The RMS over all time of a periodic function ... more details
Refimprove date December 2009 Root mean square speed is the measure of the speed of particles in a gas that is most convenient for problem solving within the kinetic theory of gases. It is defined as the squareroot of the average velocity squared of the molecules in a gas. It is given by the formula ref cite book title College Physics, Volume 1 edition 9th author Raymond A. Serway, Jerry S. Faughn, and Chris Vuille publisher 9780840068484 year 2011 isbn page 352 url http books.google.com books?id HLxV IKYO5IC&pg PA352 ref math v mathrm rms sqrt 3RT over M m math where v sub rms sub is the root mean square of the speed, M sub m sub is the molar mass of the gas, R is the molar gas constant , and T is the temperature in kelvin . Although the molecules in a sample of gas have an average kinetic energy and therefore an average speed the individual molecules move at various speeds, i.e. they exhibit a distribution of speeds. Some move fast, others relatively slowly. Collisions change individual ... energy in many molecules compared to that for an atom , 3 RT 2 is still the mean Translation physics .... This can be derived with energy methods math E mathrm k 3 over 2 nRT frac 3 2 NkT math where E sub k sub is the kinetic energy and N is the number of gas molecules. math E mathrm k,molecule 1 over 2 mv 2 math Given that v sup 2 sup ignores direction, it is logical to assume that the formula can be extended ... the number of moles n yielding math 1 over 2 nMv 2 E mathrm k math Therefore math v mathrm rms sqrt ... instead of HTML. Please don t remove it. math v mathrm rms sqrt int 0 infty v 2 p v dv , math math sqrt int 0 infty 4 pi left frac m 2 pi k T right frac 3 2 v 4 e frac v 2 m 2kT dv , math math sqrt 4 pi left frac m 2 pi k T right frac 3 2 frac 3 8 pi frac 1 2 left frac 2kT m right frac 5 2 , math math sqrt frac 3kT m math References reflist DEFAULTSORT Root Mean Square Speed Category Gases cs St edn kvadratick rychlost es Media cuadr tica de la velocidad de un gas ja 2 pt Raiz da velocidade ... more details
In number theory , the integer squareroot isqrt of a positive integer n is the positive integer m which is the floor and ceiling functions greatest integer less than or equal to the squareroot of n , math mbox isqrt n lfloor sqrt n rfloor. math For example, math mbox isqrt 27 5 math because math 5 cdot 5 25 le 27 math and math 6 cdot 6 36 27 math . Algorithm One way of calculating math sqrt n math and math mbox isqrt n math is to use Newton s method to find a solution for the equation math x 2 n 0 math , giving the Recursion recursive formula math x k 1 frac 1 2 left x k frac n x k right , quad k ge 0, quad x 0 0. math The sequence math x k math Limit mathematics converges Rate of convergence quadratically to math sqrt n math as math k to infty math . It can be proven that if math x 0 n math is chosen as the initial guess, one can stop as soon as math x k 1 x k 1 math to ensure that math lfloor x k 1 rfloor lfloor sqrt n rfloor. math Domain of computation Although math sqrt n math is irrational number irrational for almost all math n math , the sequence math x k math contains only rational number rational terms when math x 0 math is rational. Thus, with this method it is unnecessary to exit the field mathematics field of rational numbers in order to calculate math mbox isqrt n math , a fact which has some theoretical advantages. Stopping criterion One can prove that math c 1 math is the largest possible number for which the stopping criterion math x k 1 x k c math ensures math lfloor x k 1 rfloor lfloor sqrt n rfloor math in the algorithm above. Since actual computer calculations involve roundoff errors, a stopping constant less than 1 should be used, e.g. math x k 1 x k 0.5. math See also Methods of computing square roots External links http mathcentral.uregina.ca RR database RR.09.95 grzesina1.html A geometric view of the squareroot algorithm number theoretic algorithms Category Number theoretic algorithms Category Number theory Category Root finding algorithms ... more details
return y source In order to determine the inverse squareroot, an approximation for math x 1 2 ... name Eberly 2 Cite document last Eberly first David title Fast Inverse SquareRoot publisher Geometric ... person shooter OpenArena use the fast inverse squareroot code to compute Angle of incidence angles of incidence and reflection. Fast inverse squareroot sometimes referred to as Fast InvSqrt or by the hexadecimal ... reciprocal or multiplicative inverse of a squareroot for a 32 bit floating point number in Single ... hexadecimal 0x 5f3759df. This is the first approximation of the inverse squareroot of the input ... a more precise approximation. This computes an approximation of the inverse squareroot of a floating ... here. The inverse squareroot of a floating point number is used in calculating a Unit vector ... is determined by calculating its Euclidean norm the squareroot of the sum of squares of the vector ... hat v boldsymbol v sqrt x math , which relates the unit vector to the inverse squareroot of the distance components. Quake III Arena used the fast inverse squareroot algorithm to speed graphics processing ... Overview of the code The following code is the fast inverse squareroot implementation from Quake III ... 2003 InvSqrt.pdf title Fast Inverse SquareRoot last Lomont first Chris date February, 2003 page ... The Mathematics Behind the Fast Inverse SquareRoot Function Code last McEniry first Charles date ... offered by the fast inverse squareroot Kludge In computer science kludge came from treating the longword ... when treated as a floating point number is a rough approximation for the inverse squareroot of the input ... url http assemblyrequired.crashworks.org 2009 10 16 timing squareroot title Timing squareroot work ... and M the significand. Since the inverse squareroot function deals only with positive numbers, the floating ... as a mechanism to approximate the inverse squareroot, Charles McEniry first determined how the choice of any constant R could give a first approximation for the inverse squareroot. Recalling ... more details
Squareroot biased sampling is a sampling method proposed by William H. Press , a computer sciences computer scientist and computational biology computational biologist , for use in Airport security airport screenings . It is the mathematically optimal compromise between Simple random sample simple random sampling and Offender profiling strong profiling that most quickly finds a rare malfeasor, given fixed screening resources. ref name the paper Cite journal last Press first William H. authorlink coauthors title Strong profiling is not mathematically optimal for discovering rare malfeasors journal Proceedings of the National Academy of Sciences volume 106 issue 6 pages 1716 1719 publisher location date February 10, 2009 url http www.pnas.org content 106 6 1716.full doi 10.1073 pnas.0813202106 id accessdate 2009 11 28 ref ref name homeland ref Using this method, if a group is math alt n n math times as likely than the average to be a security risk, then persons from that group will be math alt squareroot of n sqrt n math times as likely to undergo Airport security Process and equipment additional screening . ref name the paper ref For example, if someone from a profiled group is nine times more likely than the average person to be a security risk, then when using squareroot biased sampling, people from the profiled group would be screened three times more often than the average person. History Press developed squareroot biased sampling as a way to sample long sequences of DNA . ref name texas It had also been developed independently by Ruben Abagyan, a professor at Scripps ... L. Shooman, who used squareroot biased sampling in a test apportionment model for software reliability ... Press later proposal to use squareroot biased sampling for airport security was published in 2009 ... first2 author2 link title Squareroot bias and airport security screening newspaper Homeland Security Newswire pages year 2009 date 2009 02 03 url http homelandsecuritynewswire.com squareroot bias and airport ... more details
The root mean square deviation RMSD is the measure of the average distance between the atoms usually the backbone atoms of protein structural alignment superimposed proteins . In the study of globular protein conformations, one customarily measures the similarity in three dimensional structure by the RMSD of the C&alpha atomic coordinates after optimal rigid body superposition. When a dynamical system fluctuates about some well defined average position the RMSD from the average over time can be referred to as the RMSF or root mean square fluctuation . The size of this fluctuation can be measured, for example using M ssbauer spectroscopy or nuclear magnetic resonance , and can provide important physical information. The Lindemann index is a method of placing the RMSF in the context of the parameters of the system. A widely used way to compare the structures of biomolecules or solid bodies is to translate and rotate one structure with respect to the other to minimize the RMSD. Coutsias, et al. presented a simple derivation, based on quaternion s, for the optimal solid body transformation rotation translation that minimizes the RMSD between two sets of vectors. ref name Coutsias2004 cite journal author Coutsias EA, Seok C, Dill KA title Using quaternions to calculate RMSD journal J Comput ... also Root mean square deviation Root mean square fluctuation Quaternion used to optimise RMSD calculations ... author Maiorov VN, Crippen GM year 1994 title Significance of root mean square deviation in comparing three dimensional structures of globular proteins journal J Mol Biol volume 235 issue 2 pages ... root mean square deviation RMSD &mdash another tutorial on how to calculate RMSD with example code http ... 5 ref The equation math mathrm RMSD sqrt frac 1 N sum i 1 N delta i 2 math where is the distance ... align mathrm RMSD mathbf v , mathbf w & sqrt frac 1 n sum i 1 n v i w i 2 & sqrt frac 1 n sum i 1 n v i x w i x 2 v i y w i y 2 v i z w i z 2 end align math An RMSD value is expressed in length units ... more details
Infobox building name Sowwah Square Tower 2 image image size caption topped out date location Abu Dhabi br United Arab Emirates latd 24.500237 longd 54.388372 iso region AE AZ coordinates display title start date 2008 completion date est completion 2011 building type Commercial offices antenna spire roof convert 184 m abbr on top floor floor count 37 elevator count cost floor area architect Goettsch Partners structural engineer main contractor developer owner Mubadala Development Company Mubadala management references ref Emporis 332504 ref ref Skyscraperpage 84386 ref Sowwah Square Tower 2 is the name of a skyscraper on Sowwah island in Abu Dhabi , the capital of the United Arab Emirates . The building is located in the newly constructed district of Sowwah Square and is planned to open in 2011. ref Kevin Brass http www.thenational.ae business property tenants to benefit as rents fall in abu dhabi Tenants to benefit as rents fall in Abu Dhabi ref Sowwah Square Tower 2 will be 184 meters tall with 37 floors. See also Sowwah Square Tower 1 Sowwah Square Tower 3 Sowwah Square Tower 4 List of tallest buildings in Abu Dhabi References Reflist Category Skyscrapers in Abu Dhabi de Sowwah Square Tower 2 ... more details
roots in a cotton plant In vascular plant s, the root is the plant organ organ of a plant that typically lies below the surface of the soil. This is not always the case, however, since a root can also be aerial root aerial growing above the ground or aerating growing up above the ground or especially ... see rhizome . So, it is better to define root as a part of a plant body that bears no leaves, and therefore ... stems and roots. The first root that comes from a plant is called the radicle . The four major functions of roots are 1 absorption of water and inorganic nutrients, 2 anchoring of the plant body to the ground, and aerial root supporting it, 3 storage of food and nutrient s, 4 vegetative reproduction ... When dissected, the arrangement of the cells in a root is root hair , Epidermis botany epidermis ... of a root to transport the water absorbed by the root to other places of the plant. Root growth Early root growth is one of the functions of the apical meristem located near the tip of the root. The meristem cells more or less continuously divide, producing more meristem, root cap cells these are sacrificed to protect the meristem , and undifferentiated root cells. The latter become the primary tissues of the root, first undergoing elongation, a process that pushes the root tip forward in the growing medium. Gradually these cells differentiate and mature into specialized cells of the root ... that also causes the shoot to grow upward. In some plants such as ivy , the root actually clings ..., forms a cylinder geometry cylinder of tissue along the Plant stem stem and root. The vascular .... As secondary xylem accumulates, the girth lateral dimensions of the stem and root increases. As a result ... Unreferenced section date March 2010 A true root system consists of a primary root and secondary roots or lateral roots . the diffuse root system the primary root is not dominant the whole root system ... root is to anchor the plant. Specialized roots File Mangroves.jpg thumb Aerating roots of a mangrove ... more details
refimprove date March 2012 root is the name of a database record of the DNS root zone root zone in the Domain Name System of the Internet that was occasionally used as a diagnostic marker. Its presence demonstrated the root zone was not truncated upon loading by a root nameserver . According to technical observers the single .root entry was replaced in 2006 with just vrsn end of zone marker dummy record , to be reintroduced later in 2006 in its original form. Citation needed date July 2010 The entry was deleted again during the preparations for the DNSSEC Deployment at the DNS root deployment of DNSSEC at the root zone in 2010. ref name dns operations cite mailing list url https lists.dns oarc.net pipermail dns operations 2010 May 005501.html title plenus no more date 2010 05 05 accessdate 2010 05 05 mailinglist dns operations last Arends first Roy ref ref name h online cite news title DNSSEC on all root servers newspaper The H date 2010 05 06 url http www.h online.com security news item DNSSEC on all root servers 994744.html accessdate 2010 05 07 ref The existence of the record was observed with the domain information groper dig utility by querying for a TXT record for the domain name dig vrsn end of zone marker dummy record.root This entry returned the word wikt plenus plenus , which is Latin for full or complete . References references External links http www.internic.net zones root.zone The root zone file GTLD DEFAULTSORT ROOT Category Pseudo top level domains ca .root cs .root da .root es .root gl .root it .root ja Vrsn end of zone marker dummy record.root no .root pl .root sv Toppdom n Generiska toppdom ner ur Root. ... more details
Infobox musical artist See Wikipedia WikiProject Musicians name Root image root band.jpg caption L R Henri Root, Joe Root, Barnaby Root, DC Root, Doug Lee Root, Steve Root image size Only for images narrower ... Root br Henri Root br Doug Lee Root br Steve Root br Owen Root br Barnaby Root br Smiley Root br Joe Root infrequent live member Root stylised ROOT is an Australia n rock group from Melbourne formed ... History Some time in 2004 05, Root began as a series of demos written solely by lead singer DC Root. In late 2006, guitarist Henri Root was hired as a tradesperson to build a set of shelves for DC. Henri ... . ref Root, DC. 3RRR Best of the Brat Interview October 16, 2007. ref During 2006, the group was fleshed out with Steve Root on keyboards and Barnaby Root on drums. Their first concert as a group ... page, the creation of a fan website entitled The Root Compendium , and growing demand for an album. ref http rootcompendium.net archive 2007june17.php The Root Compendium Archive June 17, 2007. After the gig I managed to catch up with DC Root who claimed that a CD s worth of material had been completed and was ready to go, Review by Adam. ref Root appeared at a handful of other performances over the next few months, whilst re recording tracks for their debut album, Root Supposed He Was Out Of The Question . In 2008, the band played live with additional musicians Joe Talia aka Joe Root, pedal steel and banjo and Douglas Lee Robertson aka Doug Lee Root, bass . ref name CompendiumOldNewsFeb08 http www.rootcompendium.net oldnews 08february.php The Root Compendium Old News February 2008 I was accompanied to my left by the ... figure of Doug Lee Root on bass and vocals. ... the bassist and singer for Melbourne s much loved, critically acclaimed Ice Cream Hands DC Root ref The album, Root Supposed ... formerly Root Is The Money Of All Evil ref name CompendiumOldNewsOctober08 http rootcompendium.net oldnews 08october.php The Root Compendium Old News October, 2008 See Root play their forthcoming ... more details
about the D Angelo song the online magazine The Root magazine other uses Root disambiguation Infobox Song See Wikipedia WikiProject Songs Name The Root Cover Border Caption Type Artist D Angelo alt Artist Album Voodoo D Angelo album Voodoo Published Released January 25, 2000 track no 8 Recorded 1998 1999 br Electric Lady Studios br small New York, New York small Genre Neo soul , funk , Soul music soul ... no 7 next Spanish Joint next no 9 Misc Extra musicsample filename The Root sample.ogg format Ogg title The Root Type Song The Root is a song by American recording artist D Angelo , released January ... on his second studio album, Voodoo D Angelo album Voodoo 2000 . The Root was recorded and produced ... by D Angelo, guitarist Charlie Hunter , and Luther Archer, D Angelo s brother. The Root features ... s narrator whose lament is depicted in the lyrics. Recording and production The Root was recorded and produced ... Academy . Retrieved on 2008 10 13. ref He played the guitar and bass sections on The Root with a custom ... The Root is performed in mid tempo and its Groove music groove based sound is accompanied by Charlie ... Wayne News Sentinel 11SU. February 26, 2000. ref A mid tempo heartbreak song, the lyrics of The Root ... . The Village Voice . Retrieved on 2008 12 25. ref The final two minutes of The Root feature an emphatic ... , D Angelo discussed the therapeutic nature of recording The Root , stating It was kinda therapeutic ... know what I mean? That s what The Root is. She got it on me. And I m just fucked up. It was good ... of the Washington City Paper called The Root catchy and sexy. ref name Drumming Drumming, Neil ... as some vengeful woman done worked a root on him . ref name Lewis NME compared the lyrics, in particular ... on 2009 09 06. ref and Exclaim cited The Root as one of Voodoo s finest moments , and noted the song ... Charlie Hunter All other instruments D Angelo Notes reflist 2 References refbegin colwidth 30em ... Root Category 2000 songs Category D Angelo songs ... more details
For other uses of rootroot disambiguation Infobox software name ROOT logo File Rootdrawing.gif 70px ROOT logo screenshot File 2D ROI.jpg 300px Example ROOT plot showing regions of interest in a 2D distribution caption Example ROOT plot showing regions of interest in a 2D distribution developer CERN ... Public License GPL website http root.cern.ch ROOT is an Object oriented programming object oriented ... discontinued in 2003 in favour of ROOT, written in C . ROOT development was initiated by Ren Brun ... . The packages provided by ROOT include those for histogram ming and Graph of a function graphing ... s. A key feature of ROOT is a data container called tree , with its substructures branches and leaves ... while handling buffering invisibly. ROOT is designed for high computer performance computing efficiency ... petabyte s per year. As of 2009 ROOT is mainly used in data analysis and data acquisition in high ... Physics Subfields subfields are obtained using ROOT. The inclusion of the CINT C interpreter makes ... similar to commercial products like MATLAB . Criticisms of ROOT include its difficulty for beginners ... extreme code bloat, heavy use of global variables, ref http insectnation.org howto problems with root The problem with ROOT ref and a perverse class hierarchy. ref http www.cernlove.org blog 2009 10 root rants histogram hierarchy and pyroot histogram hierarchy and a little PyROOT ref From time to time these issues are discussed on the ROOT users mailing list. ref http root.cern.ch root roottalk roottalk06 0763.html ROOTTALK 27 July 2006 ref ref http root.cern.ch root roottalk roottalk06 0782.html ROOTTALK 28 July 2008 ref While scientists dissatisfied with ROOT have in the past manage to work around its flaws, ref http zzz.physics.umn.edu computing contrib root localdoc recommendations to root users Recommendations to ROOT users ref some of the shortcomings are slowly being addressed by the ROOT team. The CINT interpreter, for example, is in the process of being phased out, ref http ... more details
root on standard calculator From the identity math frac 1 3 frac 1 22 left 1 frac 1 22 right left ... root buttons, after the number is on the display. No memory is required. Press the squareroot ... button. Press the squareroot button twice . Press the multiplication button. Press the squareroot button four times. Press the multiplication button. Press the squareroot button eight times. Press ... the multiplication button because the repeated squareroot gives 1 this means that the solution has been figured to as many significant digits as the calculator can handle . Then Press the squareroot ... side is the cube root of x . The steps shown in the method give After 2nd step math x frac 1 2 math ... the necessary terms according to the calculator precision, the last squareroot finds the right hand of . Alternative method The above method requires the calculator to have a squareroot button. Having a simple method of calculating the squareroot the following function converges fast to the result ... square roots List of polynomial topics Nth rootSquareroot Nested radical Root of unity Shifting ... tangent . In mathematics , a cube root of a number, denoted math sqrt 3 x math or x sup 1 3 sup , is a number ... cube root and a pair of complex conjugate roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8 is 2, because 2 sup 3 sup 8. All the cube roots of 27 i are math sqrt 3 27i begin cases 3i frac 3 sqrt 3 2 frac 3 2 i frac 3 sqrt 3 2 frac 3 2 i. end cases math The cube root operation is not associativity associative or distributive with addition or subtraction . The cube root operation is associative with exponentiation and distributivity ... solution and so the cube root of a real number is sometimes defined by this equation. If this definition is used, the cube root of a negative number is a negative number. If x and y ... x has three cube roots. A real number has one real cube root and two further cube roots which form a complex ... more details
to the power of n , equals x math r n x, math where n is the degree of the root. A root of degree 2 is called a squareroot and a root of degree 3, a cube root . Roots of higher degree are referred to using ordinal numbers, as in fourth root , twentieth root , etc. For example 2 is a squareroot of 4, since 2 sup 2 sup 4. 2 is also a squareroot of 4, since 2 sup 2 sup 4. A real number or complex ... x math . For n equal to 2 this is called the squareroot and the n is omitted. The n th root can also ... square under the squareroot sign and remove it math sqrt tfrac 32 5 sqrt tfrac 16 cdot 2 5 4 sqrt ... i sqrt 2 . math If we express a complex number in polar form, then the squareroot can be obtained by taking ... , with math sqrt x , math or math surd x math denoting the squareroot, math sqrt 3 x , math denoting ... Cliffs, N.J. isbn 0 13 021270 9 ref Any expression containing a radical, whether it is a squareroot ... , every negative number x has a real negative n th root. For example, 2 has a real 5th root, math ... th root is irrational number irrational . For example, math sqrt 2 1.414213562 ldots math All n ... Resource Locator URL HTML small others small Squareroot nowiki & 8730 nowiki U 221A code & 8730 ... Square roots Image The graph y x.png thumb right The graph y math pm sqrt x math . Main Squareroot The squareroot of a number x is that number r which, when square algebra squared , becomes x math r 2 x. , math Every positive real number has two square roots, one positive and one negative. For example, the two square roots of 25 are 5 and 5. The positive squareroot is also known as the principal squareroot , and is denoted with a radical sign math sqrt 25 5. , math Since the square of every ... are 5 i and 5 i , where imaginary unit i represents a squareroot of 1. Cube roots Image The graph ... cube root, written math sqrt 3 x math . For example, math sqrt 3 8 , ,2 quad text and quad sqrt 3 ..., to find the fifth root of 34, note that 2 sup 5 sup 32 and thus take x 32 and y 2 in the above formula ... more details
Wiktionary root A root is the part of a plant that is below ground. Root or roots may also refer to TOC right Computing Root directory , the first or top most directory in a hierarchy Root node , the node in a tree data structure from which every other node is accessible Root process, the top most Process computing process in a process hierarchy Root user or superuser, a user on Unix like systems, usually with full administrative privileges Rooting Android OS , a process of giving root user access to a device running the Android operating system root , the Unix superuser s home directory in the Filesystem ... has been compromised ROOT , an object oriented multipurpose data analysis package Root domain , or DNS root zone, the top level of the hierarchy for a DNS system Root nameserver , a server ... Root, Switzerland , a municipality in the district of Lucerne United States Roots, Michigan , an unincorporated community in Henrietta Township, Jackson County Root, New York , a town in Montgomery County Root River Minnesota Root River Wisconsin Linguistics Root linguistics , the core form of a word Triliteral or triconsonantal root, in Semitic languages a root containing a sequence of three consonants Mathematics Root mathematics redirects here The nth root n th root of a number specific examples include Squareroot Cube root In equation solving , a solution to a mathematical equation A root of a function , i.e. an x value for which the function produces a result of zero A root of unity , a complex number which is an n th root of one Rooted tree, in graph theory, a tree graph theory tree with a one vertex designated as the root A root system of vectors, whose elements are called roots Music Root chord , the fundamental note of a chord Roots music disambiguation , various styles Performers ROOT , an Australian alt country band Root band , a Czech metal band The Roots , a hip ... , released in 1975 Roots Sepultura album Roots Sepultura album , released in 1996 Root album Root ... more details
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