and for p > 2 it extends these basic operations in a way that happens to be expressible in Knuth's up-arrow notation as

Fortunately, faster methods have been developed which require only O ( p ( log p )< sup > 2 </ sup >) operations ( see big-O notation ).

The active ingredients are monocalcium aluminate CaAl < sub > 2 </ sub > O < sub > 4 </ sub > ( CaO · Al < sub > 2 </ sub > O < sub > 3 </ sub > or CA in Cement chemist notation, CCN ) and mayenite Ca < sub > 12 </ sub > Al < sub > 14 </ sub > O < sub > 33 </ sub > ( 12 CaO · 7 Al < sub > 2 </ sub > O < sub > 3 </ sub >, or C < sub > 12 </ sub > A < sub > 7 </ sub > in CCN ).

Calcium sulfoaluminate cements are made from clinkers that include ye ' elimite ( Ca < sub > 4 </ sub >( AlO < sub > 2 </ sub >)< sub > 6 </ sub > SO < sub > 4 </ sub > or C < sub > 4 </ sub > A < sub > 3 </ sub > in Cement chemist's notation ) as a primary phase.

Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").

) The notation " h / 2 " refers to the M < sub > 2 </ sub > C type structure described above, which is only an approximate description of the actual structures.

In this system, the number ten may be written as " A ", " T " or " X ", and the number eleven as " B " or " E " ( another common notation, introduced by Sir Isaac Pitman, is to use a rotated " 2 " for ten and a reversed " 3 " for eleven ).

Historically, several number bases have been used for representing floating-point numbers, with base 2 ( binary ) being the most common, followed by base 10 ( decimal ), and other less common varieties, such as base 16 ( hexadecimal notation ), as well as some exotic ones like 3 ( see Setun ).

In modern notation the first is CO ( carbon monoxide ) and the second is CO < sub > 2 </ sub > ( carbon dioxide ).

This notation can also be used for quantities that are surrounded by parentheses ( e. g. 5 ( 2 ) or ( 5 )( 2 ) for five times two ).

The expression for adding the numbers 1 and 2 is, in prefix notation, written "+ 1 2 " rather than " 1 + 2 ".

Despite the name, reverse Polish notation is not exactly the reverse of Polish notation, for the operands of non-commutative operations are still written in the conventional order ( e. g. "/ 6 3 " in Polish notation and " 6 3 /" in reverse Polish both evaluating to 2, whereas " 3 6 /" in reverse Polish notation would evaluate to ½ ).

For positive a, the principal square root can also be written in exponent notation, as a < sup > 1 / 2 </ sup >.

Therefore, in a right-angled triangle, the two non-right angles total 90 ° ( π / 2 radians ), so each of these angles must be in the range of ( 0 °, 90 °) as expressed in interval notation.

The use case notation from Objectory and the component notation from Booch were integrated with the rest of the notation, but the semantic integration was relatively weak in UML 1. 1, and was not really fixed until the UML 2. 0 major revision.

Also, the percentile notation is used in printing to denote how much ink is employed in halftoning, but then the scale is reversed, being 0 % the paper white ( no ink ) and 100 % a solid black ( full ink ).

stat-c '% n % a % A ' can be used to print out octal notation.

In scientific notation, the given number is scaled by a power of 10 so that it lies within a certain range — typically between 1 and 10, with the radix point appearing immediately after the first digit.

Notice that alone the number has 10 billion zeros when written down in decimal notation, and is already by far larger than the number of atoms in the observable universe.

** 1 E + 6 m < sup > 2 </ sup > or 10 < sup > 6 </ sup > m < sup > 2 </ sup > in scientific notation

It can be written in scientific notation as 1 × 10 < sup >− 12 </ sup > m, or as in engineering notation — both meaning.

To avoid this ambiguity, the number could be represented in scientific notation: 8. 0 × 10 < sup > 3 </ sup > m indicates that the first zero is significant ( hence a margin of 50 m ) while 8. 000 × 10 < sup > 3 </ sup > m indicates that all three zeroes are significant, giving a margin of 0. 5 m. Similarly, it is possible to use a multiple of the basic measurement unit: 8. 0 km is equivalent to 8. 0 × 10 < sup > 3 </ sup > m. In fact, it indicates a margin of 0. 05 km ( 50 m ).

While base 10 is normally used for scientific notation, powers of other bases can be used too, base 2 being the next most commonly used one.

The viewpoint, accompanied by expository voiceover by Philip Morrison, then slowly zooms out to a view ten meters across ( or 10 < sup > 1 </ sup > m in scientific notation ).

Sigler also points out an instance where Fibonacci uses composite fractions in which all denominators are 10, prefiguring modern decimal notation for fractions.

It is indicated by log < sub > 10 </ sub >( x ), or sometimes Log ( x ) with a capital L ( however, this notation is ambiguous since it can also mean the complex natural logarithmic multi-valued function ).

To compare numbers in scientific notation, say 5 × 10 < sup > 4 </ sup > and 2 × 10 < sup > 5 </ sup >, compare the exponents first, in this case 5 > 4, so 2 × 10 < sup > 5 </ sup > > 5 × 10 < sup > 4 </ sup >.

More accurately, numbers in between can be expressed in the form, i. e., with a power tower of 10s and a number at the top, possibly in scientific notation, e. g., a number between and ( note that < math > 10

On 8 May and again on 10 May 1795 a star was observed and recorded with uncertainty noted on its position with a colon, this notation could also indicate an observing error so it was not until the original records of the observatory were reviewed that it was established with certainty that the object was Neptune and the position error between the two nights was due to the planet's motion across the sky.

It can be written in scientific notations as 100 × 10 < sup >− 3 </ sup > m ( engineering notation ) or ( exponential notation ) — meaning or respectively.

Rabbi Weissmandl pointed out that if you combine the three small letters together they form the word, which in the accepted Hebrew notation for year numbers ( using Gematria ) corresponds to the Jewish year 707 Anno Mundi, which is the Jewish year that the 10 Nazi leaders were executed ( October 16, 1946 corresponds to Tishrei 21, 5707, the day known as Hoshanna Rabba, the day of severe judgments for the nations of the world, according to the Jewish calendar ).

In base 10 notation, the radix point is more commonly called the decimal point, where the prefix deci-implies base 10.

where the notation refers to the flow of net investment, which is the difference between gross investment and depreciation.

* The notation " net 10 " indicates that full payment is expected within 10 days.

Although in physics and mathematics the notation to represent a physical quantity can be arbitrary, it is generally accepted in the literature, such as the International Society for Magnetic Resonance in Medicine that B < sub > 0 </ sub > represents net magnetization.

A longitude is thus specified in sexagesimal notation as 23 ° 27 ′ 30 " E. For higher precision, the seconds are specified with a decimal fraction.

The notation for this is 30. i5-i8 / J6 + H8 / J7 / i5 / K4 black wins.

Dated August 30, 1585, it includes the notation that he was " about 52 years old "; his approximate birth date has been inferred from this.

* Degree-Minute-Second, a degree angle notation ( e. g. 22 ° 30 ' 00 ", as opposed to the decimal 22. 5 °)

* Used ( as – 30 –) to indicate the end of a newspaper ( or broadcast ) story, a copy editor's typographical notation.

Wallace noted in a notation on the script that Kong is 30 feet tall, thus establishing Kong as a giant ape.

Resolutions of 1080i60 or 1080i50 often refers to 1080i / 30 or 1080i / 25 in EBU notation.

Aldine Silliman Kieffer ( August 1, 1840 – November 30, 1904 ) was a leading 19th century proponent of shape note musical notation, music teacher and publisher.