The part of the function that depends on the distance from the nucleus has nodes ( radial nodes ) and decays as e < sup >(- distance )</ sup > from the nucleus.

# The form of the Gaussian type orbital ( Gaussians ) has no radial nodes and decays as e < sup >(- distance squared )</ sup >.

( 2 < sup >( n-m )</ sup >+ 1 ) × 2 < sup > n </ sup > − 1,

: r = ( 2 < sup >( n-m )</ sup >+ 1 )< sup > 2 </ sup > × 2 < sup > m + n </ sup > − 1,

: Cu < sup > 2 +</ sup >< sub >( aq )</ sub > + 2LH ( organic ) → CuL < sub > 2 </ sub >( organic ) + 2H < sup >+</ sup >< sub >( aq )</ sub >

: Cu < sup > 2 +</ sup >< sub >( aq )</ sub > + Fe < sub >( s )</ sub > → Cu < sub >( s )</ sub > + Fe < sup > 2 +</ sup >< sub >( aq )</ sub >

The number of UK units of alcohol in a drink can be determined by multiplying < var > the volume of the drink ( in milliliters )</ var > by its < var > percentage ABV </ var >, and dividing by 1000.

The AA compiler generated range-checking for array accesses, and allowed an array to have dimensions that were determined at run-time ( i. e. you could declare an array as < code >< u > integer </ u > < u > array </ u > Thing ( i: j )</ code >, where and were calculated values ).

The functions J < sub > α </ sub >, Y < sub > α </ sub >, H < sub > α </ sub >< sup >( 1 )</ sup >, and H < sub > α </ sub >< sup >( 2 )</ sup > all satisfy the recurrence relations:

where Z denotes J, Y, H < sup >( 1 )</ sup >, or H < sup >( 2 )</ sup >.

A strong indication of the reliability of Chandrasekhar's formula is that the absolute magnitudes of supernovae of Type Ia are all approximately the same ; at maximum luminosity, M < sub > V </ sub > is approximately-19. 3, with a standard deviation of no more than 0. 3 .< sup >, ( 1 )</ sup > A 1-sigma interval therefore represents a factor of less than 2 in luminosity.

*< tt > File Checksum Integrity Verifier ( FCIV )</ tt >, a command-prompt utility from Microsoft that computes and verifies MD5 or SHA-1 cryptographic hash values of files.

The standard can be found and used free of charge on the ECMA site .< ref > ECMA International: < cite > Standard ECMA-367 — Eiffel: Analysis, Design and Programming Language 2nd edition ( June 2006 )</ cite >; available online at www. ecma-international. org / publications / standards / Ecma-367. htm The ISO version < ref > International Organisation for Standardisation: < cite > Standard ISO / IEC DIS 25436 </ cite >, available online at is identical in all respects except formatting.

In calculus, ƒ < sup >( n )</ sup >, with parentheses, denotes the nth derivative of a function ƒ.

( x < sub > 1 </ sub >< sup >( m )</ sup >, x < sub > 2 </ sub >< sup >( m )</ sup >, ..., x < sub > n </ sub >< sup >( m )</ sup >), X < sup >( 1 )</ sup >

x < sub > k </ sub >< sup >( m )</ sup >, k ≠ k < sub > 0 </ sub >

Murad III ( Ottoman Turkish: مراد ثالث Murād-i < u > s </ u > āli < u > s </ u >, Turkish: III. Murat ) < span dir =" ltr ">( 4 July 1546 – 15 / 16 January 1595 )</ span > was the Sultan of the Ottoman Empire from 1574 until his death.

Mehmed III Adli ( Ottoman Turkish: محمد ثالث Meḥmed-i < u > s </ u > āli < u > s </ u >, Turkish: III. Mehmet ; < span dir =" ltr "> May 26, 1566 – December 21 / 22, 1603 )</ span > was sultan of the Ottoman Empire from 1595 until his death.

In Draw poker, one also hears the terms " 12-way " or " 16-way " straight draw for hands such as < font color = red > 6 ♥ 7 ♥</ font > < font color = black > 8 ♠ ( Joker )</ font >, in which any of sixteen cards ( 4 fours, 4 fives, 4 nines, 4 tens ) can fill a straight.

)</ ref >< ref name = Lackner2012 > Such carbon neutral and negative fuels can be produced by the electrolysis of water to make hydrogen used in the Sabatier reaction to produce methane which may then be stored to be burned later in power plants as synthetic natural gas, transported by pipeline, truck, or tanker ship, or be used in gas to liquids processes such as the Fischer – Tropsch process to make traditional transportation or heating fuels .< ref name = Pearson2012 > ( Review.

< span style =" font-size: 90 %;"> ( Red Faction )</ span ></ ref > After sending a distress call to the Earth Defense Force Parker destroys the missile defense system, so that he can stow away on a shuttle to an Ultor space station in Martian orbit to deactivate a laser defense system without getting shot down .< ref > Hendrix: Ultor has a system of laser satellites orbiting Mars.

The tensor product of two elements v and w is the equivalence class ( e < sub >( v, w )</ sub > + R ) of e < sub >( v, w )</ sub > in V ⊗ W, denoted v ⊗ w. This notation can somewhat obscure the fact that tensors are always cosets: manipulations performed via the representatives ( v, w ) must always be checked that they do not depend on the particular choice of representative.

There is a history of pensions in Ireland that can be traced back to Brehon Law imposing a legal responsibility on the kin group to take care of its members who were aged, blind, deaf, sick or insane .< REF > THE IRISH CORPORATE GOVERNANCE SYSTEM AND THE ROLE OF IRISH OCCUPATIONAL PENSION FUNDS AS INSTITUTIONAL MONITORS-Lynn ( UCD PhD Thesis, 2005 )</ REF > For a discussion on pension funds and early Irish law, see F Kelly, A Guide to Early Irish Law ( Dublin, Dublin Institute for Advanced Studies, 1988 ).

Planner featured a procedural interpretation of logical sentences where an implication of the form < tt >( P implies Q )</ tt > can be procedurally interpreted in the following ways using pattern-directed invocation:

King Harold is killed .< sup >( scene 57 )</ sup > This scene can be interpreted in different ways, as the name " Harold " appears above a number of knights, making it difficult to identify which character is Harold.

You can do that by following the link to the German article and then adding e. g. < nowiki > en: ( article name )</ nowiki > to the article at the top ( page Wikipedia: Interlanguage links says: " it is required to put the language links at the bottom of the page, after external links, see also's, and categories ").

You can do that by following the link to the Dutch article and then adding e. g. < nowiki > en: ( article name )</ nowiki > to the article at the bottom.

You can do that by following the link to the Spanish article and then adding e. g. < nowiki > en :( article name )</ nowiki > to the article at the bottom.

then we can write A < sup >( i )</ sup > as

< td > open ( open )</ td >< td > Defines a file type which the application can open </ td >

Hence, the integral evaluation can stop once the u < sup >( k )</ sup > term has been reached.

The time complexity depends on the size of the factor and can be represented by O ( e < sup >(√ 2 + o ( 1 )) √( ln p ln ln p )</ sup >), where p is the smallest factor of n, or, in L-notation.

If the ratios N of these numbers to the number n < sub >( incl S )</ sub > of all members of set S can be evaluated, e. g.

945, 956 – 957 ( 1998 )</ span >.</ ref > The " valid " portions are open to rebuttal, but the probative portions can only be challenged through an action of improbation in which a contesting party bears the burden of bringing a collateral attack against the act's probativity by proving a willful material error by full, clear and strong evidence.

Items found in the burial chamber can be grouped into several categories :< ref > Reeves, C. N., < cite > Valley of the Kings </ cite > ( Kegan Paul, 1990 ) p. 46-47 </ ref >< ref > Bell, M. R., < cite >" An Armchair Excavation of KV 55 ", JARCE 27 ( 1990 )</ cite > p. 110-119 </ ref >

In the C programming language, we can write the above as < tt >*( base + i )</ tt > ( pointer form ) or base ( array indexing form ), which is exactly equivalent because the C standard defines the array indexing form as a transformation to pointer form.

Left to right, modular connectors: < ul > < li > eight-contact 8P8C plug ( used for RJ45, RJ49, RJ61 and others )</ li > < li > six-contact 6P6C plug used for RJ25 </ li > < li > four-contact 6P4C plug used for RJ14 ( often also used instead of 6P2C for RJ11 )</ li > < li > four-contact 4P4C handset plug ( also popularly, though incorrectly, called " RJ9 ", " RJ10 ", or " RJ22 ")</ li > </ ul > RJ11, RJ14, and RJ25 can be plugged into the same six-pin 6P6C jack, pictured.

The sentence φ can also be viewed as a fixed point of the operation assigning to each formula θ the sentence ψ (< u >#( θ )</ u >).

* For every index set I, the addition map M < sup >( I )</ sup > → M can be extended to a module homomorphism M < sup > I </ sup > → M ( here M < sup >( I )</ sup > denotes the direct sum of copies of M, one for each element of I ; M < sup > I </ sup > denotes the product of copies of M, one for each element of I ).

The instruction format could be broadly categorized into one of three functions: < nowiki > 1 ) register-to-register manipulation, 2 ) memory reference, and 3 )</ nowiki > input / output.

Polyunsaturated fatty acids would be fatty acids with more than one double bond ; they have the formula, C < sub > n </ sub > H < sub >( 2n-3 )</ sub > CO < sub > 2 </ sub > H and C < sub > n </ sub > H < sub >( 2n-5 )</ sub > CO < sub > 2 </ sub > H.

Hakka cuisine, or Kejia cuisine, is the cooking style of the Hakka people, who originated in the southeastern Chinese provinces of Guangdong and Fujian, but may also be found in other parts of China and in countries with significant overseas Chinese communities .< ref > Linda Lau Anusasananan, < i > The Hakka Cookbook: Chinese Soul Food from Around the World </ i > ( University of California Press, 2012 )</ ref > There are numerous restaurants in Hong Kong, Indonesia, Malaysia and Singapore serving Hakka cuisine.

In 1972, Intel launched the 8008, the first 8-bit microprocessor .< ref > using enhancement load PMOS logic ( demanding 14V, achieving TTL-compatibility by having V < sub > CC </ sub > at + 5V and V < sub > DD </ sub > at-9V )</ ref > It implemented an instruction set designed by Datapoint corporation with programmable CRT terminals in mind, that also proved to be fairly general purpose.

Since p is prime q − 1 must be a multiple of p. Of course, if the number m = < sup >( q − 1 )</ sup >⁄< sub > p </ sub > is odd, then q will be even, since it is equal to mp + 1.

SIAM Journal on Computing, 10 ( 1 ): 96-113 ( 1981 )</ ref > When a question is true for almost all oracles, it is said to be true for a random oracle.

< center > A ( a ), B ( be ), C ( ce ), D ( de ), E ( e ), F ( ef ), G ( ge ), H ( ha ), I ( i ), J ( jot ), K ( ka ), L ( el ), M ( em ), N ( en ), O ( o ), P ( pe ), Q ( qu ), R ( er ), S ( es ), T ( te ), U ( u ), V ( ve ), W ( duplic ve ), X ( ix ), Y ( ypsilon ), Z ( zet )</ center >

For example, let < code > E < sub > 1 </ sub >()</ code > and < code > E < sub > 2 </ sub >()</ code > be two encryption functions, and let "" be the message so that if Alice encrypts it using < code > E < sub > 1 </ sub >()</ code > and sends < code > E < sub > 1 </ sub >( M )</ code > to Bob.

Alice will now get < code > E < sub > 2 </ sub >( M )</ code >, meaning when she sends this again to Bob, he will be able to decrypt the message using < code > E < sub > 2 </ sub >()</ code > and get "".

Eos: I won't be staying on Mars, that's for sure .< span style =" font-size: 90 %;"> ( Red Faction )</ span ></ ref >

where we have used the symbol e < sub >( v, w )</ sub > to emphasize that these are taken to be linearly independent by definition for distinct ( v, w ) ∈ V × W.

To satisfy those wishing a more strict interpretation of how the power function should act, the 2008 standard defines two additional power functions ; < tt > pown ( x, n )</ tt > where the exponent must be an integer, and < tt > powr ( x, y )</ tt > which returns a NaN whenever a parameter is a NaN or the exponentiation would give an indeterminate form.