complex differential form is a differential form on a manifold (usually a complex manifold) which is permitted to have complex coefficients. Complex forms...

equation i 2 = − 1 {\displaystyle i^{2}=-1} ; every complex number can be expressed in the form a + b i {\displaystyle a+bi} , where a and b are real...

Without the ability of cellular fusion, colonies could have formed, but anything even as complex as a sponge would not have been possible. This theory suggests...

of a real form relates objects defined over the field of real and complex numbers. A real Lie algebra g0 is called a real form of a complex Lie algebra...

reliability of a system Indeterminate form, an algebraic expression that cannot be used to evaluate a limit Modular form, a (complex) analytic function on the upper...

traditional characters are often the original standard forms, they should not be called 'complex'. Conversely, there is a common objection to the description...

number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant...

t+\varphi )\end{array}}} The introduced complex form of the plane wave can be simplified by using a complex-valued amplitude C {\displaystyle C\,} substitute...

differential equations which form a necessary and sufficient condition for a complex function of a complex variable to be complex differentiable. These equations...

form on a complex vector space, V. This is a map V × V → C that is linear in one argument and "twists" the linearity of the other argument by complex...

simplest form, an arrow is a triangle, chevron, or concave kite, usually affixed to a line segment or rectangle, and in more complex forms a representation...

In mathematics, a modular form is a (complex) analytic function on the upper half-plane, H {\displaystyle \,{\mathcal {H}}\,} , that satisfies: a kind...

complexes are a form of quaternary structure. Proteins in a protein complex are linked by non-covalent protein–protein interactions. These complexes are...

of the five exceptional cases. The fundamental group of the complex form, compact real form, or any algebraic version of E6 is the cyclic group Z/3Z, and...

A cyclin-dependent kinase complex (CDKC, cyclin-CDK) is a protein complex formed by the association of an inactive catalytic subunit of a protein kinase...

formation of a complex in solution. It is a measure of the strength of the interaction between the reagents that come together to form the complex. There are...

mathematics, G2 is three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras g 2 , {\displaystyle {\mathfrak...

In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called...

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in...

carbonate anions. Many coordination complexes form double salts. Double salts should not be confused with complexes. Double salts only exist in the solid...

Wildstyle is a complicated and intricate form of graffiti, the most complex type of graffiti piece. Due to its complexity, wildstyle can be difficult to...

numbers. Given a Hermitian form Ψ on a complex vector space V, the unitary group U(Ψ) is the group of transforms that preserve the form: the transform M such...

exceptional cases. The fundamental group of the (adjoint) complex form, compact real form, or any algebraic version of E7 is the cyclic group Z/2Z, and...

on a street or sidewalk to grab the attention of passers-by. In more complex forms, fake blood or blood-stained bandages are sometimes used, as well as...

a simple ternary form. Great arguments and misunderstanding can be generated by such terms as 'ternary' and 'binary', as a complex piece may have elements...

algebraic geometry and the theory of complex manifolds, a logarithmic differential form is a differential form with poles of a certain kind. The concept...

status Complex may also refer to: Complex (English band), formed in 1968, and their 1971 album Complex Complex (band), a Japanese rock band Complex (album)...

six-pointed in print and six- or eight-pointed when handwritten, though more complex forms exist. Its most common use is to call out a footnote. It is also often...

the compact form (see below) of E8, and has an outer automorphism group of order 2 generated by complex conjugation. As well as the complex Lie group of...

swollen parts distal of the constriction. Patterson III In this form there is a complex form of syndactyly named acrosyndactyly, the fingers (or toes) were...