Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" i.e., "3 add 2 is equal to 5".
Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.
In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.
Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.
Alpha-adducin is a protein that in humans is encoded by the ADD1 gene.
Adducins are a family of cytoskeleton proteins encoded by three genes (alpha, beta, gamma). Adducin is a heterodimeric protein that consists of related subunits, which are produced from distinct genes but share a similar structure. Alpha- and beta-adducin include a protease-resistant N-terminal region and a protease-sensitive, hydrophilic C-terminal region. Alpha- and gamma-adducins are ubiquitously expressed. In contrast, beta-adducin is expressed at high levels in brain and hematopoietic tissues. Adducin binds with high affinity to Ca(2+)/calmodulin and is a substrate for protein kinases A and C. Alternative splicing results in multiple variants encoding distinct isoforms; however, not all variants have been fully described. Polymorphism in ADD1 is associated with hypertension.
Gamma-adducin is a protein that in humans is encoded by the ADD3 gene.
Adducins are heteromeric proteins composed of different subunits referred to as adducin alpha, beta and gamma. The three subunits are encoded by distinct genes and belong to a family of membrane skeletal proteins involved in the assembly of spectrin-actin network in erythrocytes and at sites of cell-cell contact in epithelial tissues. While adducins alpha and gamma are ubiquitously expressed, the expression of adducin beta is restricted to brain and hematopoietic tissues. Adducin, originally purified from human erythrocytes, was found to be a heterodimer of adducins alpha and beta. Polymorphisms resulting in amino acid substitutions in these two subunits have been associated with the regulation of blood pressure in an animal model of hypertension. Heterodimers consisting of alpha and gamma subunits have also been described. Structurally, each subunit is composed of two distinct domains. The amino-terminal region is protease-resistant and globular in shape, while the carboxy-terminal region is protease-sensitive. The latter contains multiple phosphorylation sites for protein kinase C, the binding site for calmodulin, and is required for association with spectrin and actin. Alternatively spliced adducin gamma transcripts encoding different isoforms have been described. The functions of the different isoforms are not known.
Capital may refer to:
Capital sharp s (ẞ) is the majuscule of eszett. Sharp s is unique among the letters of the Latin alphabet in that it has no traditional upper case form. This is because it never occurs word-initially in German text, and traditional German printing (which used blackletter) never used all-caps. When using all-caps, traditional spelling rules required the replacement of ß with SS. However, in 2010, the use of the capital ẞ became mandatory in official documentation in Germany when writing geographical names in all-caps.
There have been repeated attempts to introduce a majuscule ß. Such letterforms can be found in some old German books dating back to the late 19th century and some later signage and product design. One of the best known examples is the East German 1957 Duden.
A proposal by Andreas Stötzner to the Unicode Consortium for the inclusion of capital double s in the Universal Character Set was rejected in 2004, on the basis that capital ß is a typographical issue, and therefore not suitable for character encoding. A reworked version of Stötzner's proposal was submitted on 25 April 2007 by DIN. The proposal suggested the Unicode name LATIN CAPITAL LETTER SHARP S. The proposal has been adopted and the character was added as Unicode character "ẞ" U+1E9E LATIN CAPITAL LETTER SHARP S when Unicode 5.1 was released, on 4 April 2008.
Capital is a type of good that can be consumed now, but if consumption is deferred, an increased supply of consumable goods is likely to be available later. Adam Smith defines capital as "That part of a man's stock which he expects to afford him revenue is called his capital." Capital is derived from the Latin word "caput" meaning head, as in "head of cattle". The term "stock" is derived from the Old English word for stump or tree trunk, i.e. something that grows over time. It has been used to refer to all the moveable property of a farm since at least 1510. In Middle Ages France contracted leases and loans bearing interest specified payment in heads of cattle.
In economics, capital goods, real capital, or capital assets are already-produced durable goods or any non-financial asset that is used in production of goods or services.
How a capital good is maintained or returned to its pre-production state varies with the type of capital involved. In most cases capital is replaced after a depreciation period as newer forms of capital make continued use of current capital non profitable. It is also possible that advances make an obsolete form of capital practical again.