Science

• Homogeneity (physics)
  Homogeneity (physics)
  In general, homogeneity is defined as the quality or state of being homogeneous . For instance, a uniform electric field would be compatible with homogeneity...
  
  , translational invariance or compatibility of units in equations
• Homogeneous (chemistry)
  Homogeneous (chemistry)
  A substance that is uniform in composition is a definition of homogeneous. This is in contrast to a substance that is heterogeneous.The definition of homogeneous strongly depends on the context used. In Chemistry, a homogeneous suspension of material means that when dividing the volume in half, the...
  
  , a property of a mixture showing no variation in properties
• Homogenization (chemistry)
  Homogenization (chemistry)
  Homogenization or homogenisation is any of several processes used to make a chemical mixture the same throughout.-Definition:Homogenization is intensive blending of mutually related substances or groups of mutually related substances to form a constant of different insoluble phases to obtain a...
  
  , intensive mixing of mutually insoluble substance or groups of substance to obtain a soluble suspension or constant. Homogenized milk is one example.
• Homogenization (biology)
  Homogenization (biology)
  Homogenization is a process that involves breaking apart cells — releasing organelles and cytoplasm.When the purpose is to extract organelles, it is frequently done in two steps; first using a blender to break the tissue up, and then with an ultrasonic or mechanical tissue disruptor. The...
  
  , a process that involves breaking apart cells — releasing organelles and cytoplasm
• Homogeneity (ecology), means all of the same or similar kind or nature. In ecological terms, it can also be expressed as a lack of, or reduction in biodiversity.
• Homogenization (mathematics), the study of partial differential equations with highly oscillatory coefficients and the determination of effective properties of materials with inhomogeneous moduli (e.g. elastic, thermal, electrical)

Mathematics

• Homogenization (mathematics), the study of partial differential equations with highly oscillatory coefficients
• Homogeneity (statistics)
  Homogeneity (statistics)
  In statistics, homogeneity and its opposite, heterogeneity, arise in describing the properties of a dataset, or several datasets. They relate to the validity of the often convenient assumption that the statistical properties of any one part of an overall dataset are the same as any other part...
  
  , logically consistent data matrices
• Homogeneous function
  Homogeneous function
  In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor. More precisely, if is a function between two vector spaces over a field F, and k is an integer, then...
  
  
• Homogeneous polynomial
  Homogeneous polynomial
  In mathematics, a homogeneous polynomial is a polynomial whose monomials with nonzero coefficients all have thesame total degree. For example, x^5 + 2 x^3 y^2 + 9 x y^4 is a homogeneous polynomial...
  
  , in algebra
• Homogeneous differential equation
  Homogeneous differential equation
  The term homogeneous differential equation has several distinct meanings.One meaning is that a first-order ordinary differential equation is homogeneous if it has the formwhere F is a homogeneous function of degree zero; that is to say, that F = F.In a related, but distinct, usage, the term linear...
  
  
• Homogeneous linear transformation
• Homogeneous coordinates
  Homogeneous coordinates
  In mathematics, homogeneous coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry much as Cartesian coordinates are used in Euclidean geometry. They have the advantage that the coordinates of points,...
  
  , used in projective spaces
• Homogeneous space
  Homogeneous space
  In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non-empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A special case of this is when the topological group,...
  
   for a Lie group G, or more general transformation group
• Homogeneous ideal
  Graded algebra
  In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field with an extra piece of structure, known as a gradation ....
  
   in a graded ring
• Homogeneous (large cardinal property)
• Homogeneous model in model theory
  Model theory
  In mathematics, model theory is the study of mathematical structures using tools from mathematical logic....
  
  
• Homoscedasticity
  Homoscedasticity
  In statistics, a sequence or a vector of random variables is homoscedastic if all random variables in the sequence or vector have the same finite variance. This is also known as homogeneity of variance. The complementary notion is called heteroscedasticity...
  
  , homogeneity of variance

See also

• Heterogeneous (disambiguation), links relating to objects or systems consisting of multiple items having a large number of structural variations
• Homogeneity and heterogeneity
  Homogeneity and heterogeneity
  Homogeneity and heterogeneity are concepts relating to the uniformity or lack thereof in a substance. A material that is homogeneous is uniform in composition or character; one that is heterogeneous lacks uniformity in one of these qualities....
  
  
• Monoculturalism, ethnic homogeneity or the advocacy of it
• Zygosity
  Zygosity
  Zygosity refers to the similarity of alleles for a trait in an organism. If both alleles are the same, the organism is homozygous for the trait. If both alleles are different, the organism is heterozygous for that trait...