* Historia Augusta, The Life of Antoninus Pius, English version of Historia Augusta Note that the Historia Augusta includes pseudohistorical elements.

Note that the first element in a sequence has the index one and that $ refers to the length ( i. e. total number of elements ) of the sequence.

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

Note that the end tag's name is preceded by a slash character, "/", and that in empty elements the end tag is neither required nor allowed.

Note that the operators operate on elements from the domain and range, respectively, of the " one-to-one " and " onto " function ƒ.

Note that the bilinearity and alternating properties imply anticommutativity, i. e., for all elements x, y in, while anticommutativity only implies the alternating property if the field's characteristic is not 2.

Note this does not restrict dormant forms of life to these environments, so this argument only contradicts the widest interpretation of panspermia — that life is ongoing and is spread across many different environments throughout the Universe — and presupposes that any life needs those elements, which the proponents of alternative biochemistries do not consider certain.

Note that in this vector dotted with Pauli vector operation the Pauli matrices are treated in a scalar like fashion, commuting with the vector basis elements.

Note that many of the common polyatomic anions are conjugate bases of acids derived from the oxides of non-metallic elements.

Note: The principal applications of off-axis optical systems are to avoid obstruction of the primary aperture by secondary optical elements, instrument packages, or sensors, and to provide ready access to instrument packages or sensors at the focus.

Note 1: The PCS switching center represents a collection of one or more network elements.

Note that only the 253 have any claim to stability, but that only 90 nuclides from the first 40 elements are theoretically stable to any process but proton decay.

Note that all elements are written in their standard states, and one mole of product is formed.

Note that this is stated in terms of maps – product and inverse must be maps in the category – and without any reference to underlying " elements " of group – categories in general do not have elements to their objects.

Note: Work function can change for crystalline elements based upon the orientation.

( Note that categorical syllogisms have elements traditionally called middles, predicates, and subjects.

Note for completeness that condition ( 1 ) fails: any map t: B → A must map every two-cycle to the identity because the map has to be a group homomorphism, while the order of a two-cycle is 2 which can not be divided by the order of the elements in A other than the identity element, which is 3 as A is the alternating subgroup of, or namely the cyclic group of order 3.

Note that an iterator performs traversal and also gives access to data elements in a container, but does not perform iteration ( i. e., not without some significant liberty taken with that concept or with trivial use of the terminology ).

Note that elements of the Cantor space can be identified with sets of integers and elements of the Baire space with functions from integers to integers.

Note that while both the elements of the Cantor space ( regarded as sets of integers ) and subsets of the Cantor space are classified in arithmetic hierarchies but these are not the same hierarchy.

Note that not every relation which is not reflexive is irreflexive ; it is possible to define relations where some elements are related to themselves but others are not related to themselves ( i. e., neither all nor none ).

Note that although bulk materials differentiate outward or inward according to their density, the elements that are chemically bound in them fractionate according to their chemical affinities, " carried along " by more abundant materials that they're associated with.

Cultured skin and prostate cancer cells showed significant mortality ( compared to nonmalignant cells ) when treated with a combination of quercetin and ultrasound Note that ultrasound also promotes topical absorption by up to 1, 000 times, making the use of topical quercetin and ultrasound wands an interesting proposition.

Alice now discards three of her own cards, and replaces them with three from the top of the deck ( Note: in a player-dealt casino game there is often a rule that the dealer must discard before picking up the deck, but this is a home game so we won't worry about such details ).

Note that due to the reduced number of colors in the image, there are obvious display issues. GIF is palette-based: the colors used in an image ( a frame ) in the file have their RGB values defined in a palette table that can hold up to 256 entries, and the data for the image refer to the colors by their indexes ( 0 – 255 ) in the palette table.

Note that the maximum value of the angular momentum quantum number is limited by the principal quantum number: it can run only up to n − 1, i. e..

Note the roofless and pockmarked Altes Rathaus looking up the Tal.

Note: the Compact of Free Association with the U. S., entered into after the end of the UN trusteeship on 1 October 1994, provides Palau with up to $ 700 million in U. S. aid over 15 years in return for furnishing military facilities.

Note: borders may also be made up of simple or patterned blocks that are stitched together into a row, before being added to the quilt top.

Note that the second letter is never further up the alphabet than the first, that is to say no star can be BA, CA, CB, DA or so on.

Note: In the Defense Data Network ( DDN ), a packet-switching node is usually configured to support up to thirty-two X. 25 56 kbit / s host connections, as many as six 56 kbit / s interswitch trunk ( IST ) lines to other packet-switching nodes, and at least one Terminal Access Controller ( TAC ).

Note that my total loss ( if LloydsTSB went to 0p ) could be up to £ 4110, so this is as risky as buying 1000 of the shares normally.

Note the granular characteristic of the debris in the foreground that results from the slab breaking up during descent.

Note: This section / article is currently under revision as it does not live up to the current state of TA knowledge and practice.

As a result, Lion was under pressure by independent distributors to come up with similar successes, with the result that many Blue Note albums of this era start with a catchy tune intended for heavy airplay in the United States.

Note that although s and S are infinite, this works for finite matrices by only considering Stirling numbers up to some number N.

Note that in some cases topics may be divided up or disambiguated into article pages differently in the various language sections.

Note that South gives up the 14 % chance of four diamond tricks ( finessing the J and then cashing the A, hoping for the K onside and doubleton ) in exchange for insuring the contract against any diamond break.

Note that when using the vibrato bar, string action ( the distance between the strings and the fretboard ) is affected, and this can sometimes cause the strings to unintentionally touch the frets and create unwanted sounds on instruments set up with extremely low action and heavily recessed vibrato installations.

Note that this is one of the chief differences between U. S. and EU approach towards Intellectual property rights up till the early 21st century, in that the crystallisation of this modern approach ( the Berne Convention for the Protection of Literary and Artistic Works ) is still only partially put in practice in the U. S., and, where applied, this is done largely outside the legislation regarding IP.

Note: " Southern ", as used in this section, refers to members of Congress from the eleven states that made up the Confederate States of America in the American Civil War.

Note: Percentages may not add up to 100 percent due to rounding of data samples.

Note that in some cases, truncating would yield the same result as rounding, but truncation does not round up or round down the digits ; it merely cuts off at the specified digit.

Note that although the anterior leaflet takes up a larger part of the ring and rises higher, the posterior leaflet has a larger surface area.

Note that the armies may have numbered differently than shown above with the English up to 20, 000 men, including Balliol's contingent.

* Maciste il Vendicatore dei Mayas / Maciste, Avenger of the Mayans ( No American title, 1965 ) ( Note * This Maciste film was made up almost entirely of re-edited stock footage from 2 older Maciste films, Maciste contro i mostri and Maciste contro i cacciatori di teste, so Maciste switches from Kirk Morris to Reg Lewis in various scenes ; this movie is very scarce since it was never distributed in the USA and is not available in English.