VHDL Implementation of Complex Number Multiplier Using Vedic Mathematics

2013 ◽  
pp. 403-410 ◽  
Author(s):  
Laxman P. Thakare ◽  
A. Y. Deshmukh ◽  
Gopichand D. Khandale
Keyword(s):  
Complex Number ◽  
Vedic Mathematics ◽  
Vhdl Implementation

scholarly journals Design of High Performance ALU Using Vedic Mathematics

2021 ◽  
Vol 1964 (6) ◽  
pp. 062031
Author(s):  
V Swathi ◽  
Kavitha Panduga ◽  
Gurrala Shiva Kumari
Keyword(s):  
High Performance ◽  
Vedic Mathematics

scholarly journals Winding Numbers, Unwinding Numbers, and the Lambert W Function

2021 ◽  
Author(s):  
A. F. Beardon
Keyword(s):  
Complex Plane ◽  
Complex Number ◽  
Lambert W Function ◽  
Complex Numbers ◽  
Winding Number ◽  
Line Integral ◽  
Complex Functions

AbstractThe unwinding number of a complex number was introduced to process automatic computations involving complex numbers and multi-valued complex functions, and has been successfully applied to computations involving branches of the Lambert W function. In this partly expository note we discuss the unwinding number from a purely topological perspective, and link it to the classical winding number of a curve in the complex plane. We also use the unwinding number to give a representation of the branches $$W_k$$ W k of the Lambert W function as a line integral.

scholarly journals Type II degenerations of K3 surfaces

1985 ◽  
Vol 99 ◽  
pp. 11-30 ◽  
Author(s):  
Shigeyuki Kondo
Keyword(s):  
Number Field ◽  
Complex Manifold ◽  
Complex Number ◽  
Three Dimensional ◽  
K3 Surfaces ◽  
Type Ii ◽  
Holomorphic Map ◽  
Canonical Class ◽  
Proper Holomorphic Map ◽  
Complex Number Field

A degeneration of K3 surfaces (over the complex number field) is a proper holomorphic map π: X→Δ from a three dimensional complex manifold to a disc, such that, for t ≠ 0, the fibres Xt = π-1(t) are smooth K3 surfaces (i.e. surfaces Xt with trivial canonical class KXt = 0 and dim H1(Xt, Oxt) = 0).

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