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Longer titles found: Vector algebra relations (view), Comparison of vector algebra and geometric algebra (view)

searching for Vector algebra 52 found (64 total)

alternate case: vector algebra

Convex combination (542 words) [view diff] exact match in snippet view article find links to article

In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points
Exterior algebra (12,118 words) [view diff] exact match in snippet view article find links to article
1941), or extensive algebra (Clifford 1878), and recently as extended vector algebra (Browne 2007). Bourbaki 1989, p. 661. Bishop, R.; Goldberg, S.I. (1980)
Hüseyin Tevfik Pasha (1,052 words) [view diff] exact match in snippet view article find links to article
some vector algebra including a "special perpendicular" (cross product) and properties of curves. The book title was precocious since the early vector algebra
Dyadics (4,634 words) [view diff] exact match in snippet view article find links to article
tensor is a second order tensor, written in a notation that fits in with vector algebra. There are numerous ways to multiply two Euclidean vectors. The dot
Vvvv (481 words) [view diff] exact match in snippet view article find links to article
one-dimensional array of values, called Spreads. In addition to traditional vector algebra, this allows programming of particle systems, as also rendering nodes
Vectors in Three-dimensional Space (284 words) [view diff] exact match in snippet view article find links to article
century, almost universal; on the other hand, pure mathematicians reduced vector algebra to an axiomatic system, and introduced wide generalisations of the concept
N-vector (1,112 words) [view diff] exact match in snippet view article find links to article
one unique surface position. As a Euclidean 3D vector, standard 3D vector algebra can be used for the position calculations, and this makes n-vector well-suited
Edward McWilliam Patterson (311 words) [view diff] case mismatch in snippet view article find links to article
Algebra in 1965, in collaboration with Professor Dan Rutherford, and Vector Algebra in 1968. He was awarded the Makdougall Brisbane Prize by the Royal Society
Horizontal position representation (756 words) [view diff] exact match in snippet view article find links to article
property. The vector formulation makes it possible to use standard 3D vector algebra, and thus n-vector is well-suited for mathematical calculations, e.g
Orthogonal coordinates (3,368 words) [view diff] no match in snippet view article find links to article
In mathematics, orthogonal coordinates are defined as a set of d coordinates q = ( q 1 , q 2 , … , q d ) {\displaystyle \mathbf {q} =(q^{1},q^{2},\dots
T. Proctor Hall (965 words) [view diff] case mismatch in snippet view article find links to article
by Hall, including "Scientific Theology". The other was "A Geometric Vector Algebra", which included quaternions. In 1916 Hall was official Librarian of
Four-vector (8,365 words) [view diff] no match in snippet view article find links to article
In special relativity, a four-vector (or 4-vector, sometimes Lorentz vector) is an object with four components, which transform in a specific way under
Luis Santaló (544 words) [view diff] exact match in snippet view article find links to article
 345) which involves inverting the Radon transform. Includes standard vector algebra, vector analysis, introduction to tensor fields and Riemannian manifolds
Median absolute deviation (1,096 words) [view diff] case mismatch in snippet view article find links to article
Spacek, Libor. "Rstats - Rust Implementation of Statistical Measures, Vector Algebra, Geometric Median, Data Analysis and Machine Learning". crates.io. Retrieved
Right-hand rule (2,359 words) [view diff] case mismatch in snippet view article find links to article
James M.; Iqbal, Azhar; Hartnett, John G.; Abbott, Derek (2016). "The Vector Algebra War: A Historical Perspective". IEEE Access. 4: 1997–2004. arXiv:1509
Great-circle distance (1,920 words) [view diff] exact match in snippet view article find links to article
latitude and longitude to describe the positions, is found by means of 3D vector algebra, using the dot product, cross product, or a combination: Δ σ = arccos
Vectorial Mechanics (762 words) [view diff] exact match in snippet view article find links to article
Vectorial Mechanics has 18 chapters grouped into 3 parts. Part I is on vector algebra including chapters on a definition of a vector, products of vectors
Boundary tracing (1,555 words) [view diff] exact match in snippet view article find links to article
short-circuited. Might fail on some patterns. A generic approach using vector algebra for tracing of a boundary can be found at An extension of boundary tracing
Thales's theorem (2,130 words) [view diff] exact match in snippet view article find links to article
angles in a rectangle are right angles. The theorem can be proved using vector algebra. Let's take the vectors A B → {\displaystyle {\overrightarrow {AB}}}
Ludwik Silberstein (1,550 words) [view diff] case mismatch in snippet view article find links to article
Lenses, Prisms, and Mirrors, Longmans, Green & Co. 1919: Elements of Vector Algebra, Longmans, Green and Company. 1920: Report on the Quantum Theory of
A History of Vector Analysis (1,081 words) [view diff] exact match in snippet view article find links to article
pragmatic temper of the times set aside the four-dimensional source of vector algebra. Crowe's chapter seven is a survey of "Twelve major publications in
Rudranath Capildeo (751 words) [view diff] case mismatch in snippet view article find links to article
Capildeo produce many significant mathematical theories and a book on Vector Algebra and Mechanics in 1967, he also studied law in London in 1956. Two years
GRE Physics Test (597 words) [view diff] exact match in snippet view article find links to article
multivariate calculus coordinate systems (rectangular, cylindrical, spherical) vector algebra and vector differential operators Fourier series partial differential
Newton's laws of motion (16,223 words) [view diff] exact match in snippet view article find links to article
acceleration are vector quantities as well. The mathematical tools of vector algebra provide the means to describe motion in two, three or more dimensions
Motion (geometry) (1,517 words) [view diff] exact match in snippet view article
transformation. Frequently the transformation can be written using vector algebra and linear mapping. A simple example is a turn written as a complex
Elliptic geometry (2,656 words) [view diff] exact match in snippet view article find links to article
respectively. Access to elliptic space structure is provided through the vector algebra of William Rowan Hamilton: he envisioned a sphere as a domain of square
Geological compass (1,020 words) [view diff] exact match in snippet view article find links to article
accelerometer have also begun to appear. These compass programs use vector algebra to compute plane and lineation orientations from the accelerometer and
Affine transformation (3,477 words) [view diff] exact match in snippet view article find links to article
composition of two functions: a translation and a linear map. Ordinary vector algebra uses matrix multiplication to represent linear maps, and vector addition
Versor (2,945 words) [view diff] exact match in snippet view article find links to article
the system of quaternions. Section V: Versor and unitary vectors in vector algebra. Versor at Encyclopedia of Mathematics. Luis Ibáñez Quaternion tutorial
Parallactic angle (1,786 words) [view diff] exact match in snippet view article find links to article
bright limb is directly related to that of the subsolar point. The vector algebra to derive the standard formula is equivalent to the calculation of the
Hans Grassmann (1,484 words) [view diff] exact match in snippet view article find links to article
set them in a new mathematical framework. His approach is based on vector algebra or on Boolean algebra instead of probability theory. Grassmann also
Imre Lakatos (4,994 words) [view diff] exact match in snippet view article find links to article
Palermo, 13, pp. 285–343, rewrites Euler's conjecture into a tautology of vector algebra. Lakatos, Imre. (1970). "Falsification and the methodology of scientific
Bivector (9,892 words) [view diff] exact match in snippet view article find links to article
vector magnetic fields. Quantities that would use axial vectors in vector algebra are properly represented by bivectors in geometric algebra. More precisely
GF method (2,025 words) [view diff] exact match in snippet view article find links to article
Especially for a torsion angle, which involves 4 atoms, it requires tedious vector algebra to derive the corresponding values of the s A i t {\displaystyle s_{Ai}^{t}}
William Rowan Hamilton (4,968 words) [view diff] exact match in snippet view article find links to article
geometric algebra, Hamilton also introduced the cross and dot products of vector algebra, the quaternion product being the cross product minus the dot product
Section formula (1,537 words) [view diff] case mismatch in snippet view article find links to article
1093/acref/9780199679591.001.0001, ISBN 978-0-19-967959-1, retrieved 2020-10-30 "Vector Algebra" (PDF). Archived from the original (PDF) on 2016-12-13. section-formula
Euclidean vector (9,116 words) [view diff] exact match in snippet view article find links to article
or re-scaled, by any real number r. In the context of conventional vector algebra, these real numbers are often called scalars (from scale) to distinguish
Tensor product (8,659 words) [view diff] exact match in snippet view article find links to article
in Wiktionary, the free dictionary. Dyadics – Second order tensor in vector algebra Extension of scalars Monoidal category – Category admitting tensor products
Electric dipole moment (7,940 words) [view diff] exact match in snippet view article find links to article
charge to the positive one. A stronger mathematical definition is to use vector algebra, since a quantity with magnitude and direction, like the dipole moment
Solution of triangles (3,698 words) [view diff] exact match in snippet view article find links to article
For this purpose, the following formulas (which may be derived using vector algebra) can be used: c = arctan ⁡ ( sin ⁡ a cos ⁡ b − cos ⁡ a sin ⁡ b cos ⁡
Algebra (13,739 words) [view diff] exact match in snippet view article find links to article
and elements accompanied this development, such as Boolean algebra, vector algebra, and matrix algebra. Influential early developments in abstract algebra
Screw theory (4,410 words) [view diff] exact match in snippet view article find links to article
screw. The dot and cross products of screws satisfy the identities of vector algebra, and allow computations that directly parallel computations in the algebra
Angular momentum (13,485 words) [view diff] exact match in snippet view article find links to article
of the particle. This can be expanded, reduced, and by the rules of vector algebra, rearranged: L = ( r 2 m ) ( r × v r 2 ) = m ( r × v ) = r × m v = r
Borys Grynyov (1,785 words) [view diff] exact match in snippet view article find links to article
textbooks for high school: "High algebra" (2003) (ISBN 978-966-8319-91-4); "Vector algebra" (2003) (ISBN 978-966-8319-90-7); "Analytic geometry" (2003) (ISBN 978-966-8319-92-1)
Spacetime algebra (7,332 words) [view diff] case mismatch in snippet view article find links to article
Wiley. p. 180. ISBN 978-0-470-94163-8. Baylis, William E. (2012). "Vector Algebra of Physical Space". Theoretical Methods in the Physical Sciences: An
Lorentz transformation (14,794 words) [view diff] exact match in snippet view article find links to article
B fields, the transformations cannot be obtained as directly using vector algebra. The Lorentz force is the definition of these fields, and in F it is
Glossary of mechanical engineering (10,427 words) [view diff] exact match in snippet view article find links to article
not direction. Vectors can be added to other vectors according to vector algebra. Vertical strength – Viscosity – Volt – the SI unit of electric potential
List of people considered father or mother of a scientific field (5,720 words) [view diff] exact match in snippet view article find links to article
Trigonometry Hipparchus Constructed the first trigonometric table. Vector algebra, vector calculus Willard Gibbs Oliver Heaviside (founders) For their
History of special relativity (16,903 words) [view diff] case mismatch in snippet view article find links to article
Vierdimensionale Vektoralgebra" [On the Theory of Relativity I: Four-dimensional Vector Algebra], Annalen der Physik, 337 (9): 749–776, Bibcode:1910AnP...337..749S
Stabilised Automatic Bomb Sight (5,555 words) [view diff] exact match in snippet view article find links to article
wind line, knowing that aircraft would be flying that direction. Using vector algebra to solve for the effect of wind is a common problem in air navigation
Relativistic angular momentum (10,985 words) [view diff] exact match in snippet view article find links to article
(throughout here L is a pseudovector for concreteness and compatibility with vector algebra). Introduce a unit vector in the direction of v, given by n = v/v. The
Glossary of areas of mathematics (7,692 words) [view diff] exact match in snippet view article find links to article
trigonometry based on rational geometry. Valuation theory Variational analysis Vector algebra a part of linear algebra concerned with the operations of vector addition