Kernel

Kernel may refer to:

Computing

• Kernel (operating system), the central component of most operating systems
• Kernel method, in machine learning
• Kernel (image processing), a square matrix used for image convolution
• Kernel, the body of a vectorized loop in numerical computing; see e.g. GPGPU
• Kernelization, a technique for designing efficient algorithms

Mathematics

Objects

• Kernel (algebra), in algebra
• Kernel (linear algebra), the set of all vectors which map to the zero vector
• Kernel (category theory), in category theory
• Kernel (set theory), the set of all pairs of elements that map to the same value
• Equalizer (mathematics), the set of all elements where the values of two functions coincide

Functions

• Integral kernel, a function of two variables that defines an integral transform
• Heat kernel, the fundamental solution to the heat equation on a specified domain
• Convolution kernel
• kernel (statistics), a weighting function used in kernel density estimation to estimate the probability density function of a random variable
• Stochastic kernel, the transition function of a stochastic process
• Pricing kernel, the stochastic discount factor used in mathematical finance
• Positive-definite kernel, a generalization of a positive-definite matrix
• Kernel trick, in statistics
• Reproducing kernel Hilbert space
• Kernel (geometry), the set of points within a polygon from which the whole polygon boundary is visible

Science

• Seed, inside the nut of most plants
  • Corn kernel
  • Palm kernel
• Atomic nucleus

Other uses

• Kernel (digital media company), an e-commerce website
• Kernel (EP), by the band Seam
• Pricing kernel, another name for the stochastic discount factor used in asset pricing
• Kernel (Lilo & Stitch), experiment 014 from the Lilo & Stitch cartoon series
• Kernel Fleck, a character in the Demonata series of books

See also

• KERNAL, Commodore's 8-bit OS software
• Colonel (disambiguation)
• Kernel, a figure of speech, a seed of an idea that has grown to fruition