In mathematics, the signed area or oriented area of a region of an affine plane is its area with orientation specified by the positive or negative sign, that is "plus" () or "minus" (). More generally, the signed area of an arbitrary surface region is its surface area with specified orientation. When the boundary of the region is a simple curve, the signed area also indicates the orientation of the boundary.
mathematics, the signedarea or oriented area of a region of an affine plane is its area with orientation specified by the positive or negative sign, that is...
the signedarea of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally, areas above...
equation Parallel curve (also known as offset curve) Signed arc length SignedareaSigned measure Signed volume Chan, T.; Zhu, W. (2005). Level set based...
slightly different concepts of a signed measure, depending on whether or not one allows it to take infinite values. Signed measures are usually only allowed...
formula, also known as Gauss's area formula and the surveyor's formula, is a mathematical algorithm to determine the area of a simple polygon whose vertices...
according to positive orientation), the signedarea is positive; otherwise, it is negative. In either case, the area formula is correct in absolute value...
define. Such an area is called the signedarea of the parallelogram: the absolute value of the signedarea is the ordinary area, and the sign determines its...
Sign languages (also known as signed languages) are languages that use the visual-manual modality to convey meaning, instead of spoken words. Sign languages...
a , b , c ∈ R 2 {\displaystyle a,b,c\in \mathbb {R} ^{2}} . Then the signedarea of the parallelogram with vertices at a, b and c is equivalent to the...
ASL sign are used as the ASL sign, as with butterfly. The term 'Signed English' refers to a much simpler system than SEE1, SEE2, or LOVE. Signed English...
The at sign, @, is an accounting and invoice abbreviation meaning "at a rate of" (e.g. 7 widgets @ £2 per widget = £14), now seen more widely in email...
Vector area can be seen as the three dimensional generalization of signedarea in two dimensions. For a finite planar surface of scalar area S and unit...
y_{i+1}-x_{i+1}\ y_{i}),} and where A {\displaystyle A} is the polygon's signedarea, as described by the shoelace formula: A = 1 2 ∑ i = 0 n − 1 ( x i ...
Oriented area may be either of: Vector areaSignedarea This disambiguation page lists articles associated with the title Oriented area. If an internal...
This is a list of road signs in Denmark. Denmark signed the Vienna Convention on Road Signs and Signals on November 8, 1968 and ratified it on November...
3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})} is twice the signedarea of the triangle. The area interpretation of the barycentric coordinates can be recovered...
international travel purposes. The area is named after the 1985 Schengen Agreement and the 1990 Schengen Convention, both signed in Schengen, Luxembourg. Of...
signs are in the international series and normally consist of a one or two character prefix, a digit (which may be used to denote a geographical area...
unincorporated area is a region that is not governed by a local municipal corporation. There are many unincorporated communities and areas in the United...
warning of the road, unpopulated area beyond Humorous Himank sign in Lahaul, India Pedestrian crossing sign in Finland A sign for wild animals. Germany, Poland...
York metropolitan area, broadly referred to as the Tri-State area and often also called Greater New York, is the largest metropolitan area in the world by...
possibility of real estate development in the area. In April 2009 The Trust for Public Land (TPL) signed an option to buy the 138 acres (56 ha) property...
Truman signed an act abolishing the national monument and creating the Wheeler Geologic Area of Rio Grande National Forest. The geologic area is now part...
An urban area, built-up area or urban agglomeration is a human settlement with a high population density and an infrastructure of built environment. This...
The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate...
2023. County of Carlow Local Electoral Areas and Municipal Districts Order 2018 (S.I. No. 610 of 2018). Signed on 19 December 2018. Statutory Instrument...
The Philippines signed the Vienna Convention on Road Signs and Signals on 8 November 1968, and ratified it on 27 December 1973. Road signs in the Asian part...