homogeneous

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homogeneous

1. having a constant property, such as density, throughout
2. Maths
a. (of a polynomial) containing terms of the same degree with respect to all the variables, as in x2 + 2xy + y2
b. (of a function) containing a set of variables such that when each is multiplied by a constant, this constant can be eliminated without altering the value of the function, as in cos x/y + x/y
c. (of an equation) containing a homogeneous function made equal to 0
3. Chem of, composed of, or concerned with a single phase

Homogeneous

Likeness in nature or kind: similar, congruous and uniform in composition or structure throughout.

homogeneous

[‚hä·mə′jē·nē·əs]
(chemistry)
Pertaining to a substance having uniform composition or structure.
(mathematics)
Pertaining to a group of mathematical symbols of uniform dimensions or degree.
(science and technology)
Uniform in structure or composition.

homogeneous

(Or "homogenous") Of uniform nature, similar in kind.

1. In the context of distributed systems, middleware makes heterogeneous systems appear as a homogeneous entity. For example see: interoperable network.

Constrast heterogeneous.

2. <mathematics> (Of a polynomial) containing terms of the same degree with respect to all the variables, as in x^2 + 2xy + y^2.

3. <mathematics> (Of a function) containing a set of variables such that when each is multiplied by a constant, this constant can be eliminated without altering the value of the function, as in cos x/y + x/y.

4. <mathematics> (of an equation) containing a homogeneous function made equal to 0.

homogeneous

The same. Contrast with heterogeneous.
References in periodicals archive ?
In each case, the transition from homogeneously deformed material at a stretch of [[Lambda].
Using an innovative, proprietary production technology, these liners are bonded homogeneously and uniformly to the rubber construction, which is made of EPDM plus a high-strength, temperature-resistant aramid braiding and a coil of high-tenacity stainless steel wire.
These materials typically have very low apparent density and must be metered into the kneader with absolute precision and homogeneously mixed into the melt with optimum shear and without destroying its structural properties.
When serum is homogeneously distributed, add phases D and E.
The process permits heat to be applied in a localized concentration that is then rapidly and homogeneously redistributed over the complete mandrel working surface.
Just apply the liquid waterproofing (Roof-Shield) which will be bonding homogeneously with the damaged material of the repair area.
The L-shaped, redesigned taillights, each with two homogeneously illuminated LED light banks, reflect the brand-typical night-time design of the rear end.
2003): (i) particles should be of small size (less then 5 [micro]m), (ii) aspect ratio must be close to unity to avoid high stress concentration, (iii) particles must debond prior to the yield strain of the matrix polymer in order to change the stress state of the matrix material and (iv) particles must be dispersed homogeneously in the matrix polymer.
This soft tissue demonstrated intermediate signal intensity and was homogeneously isointense to muscle on T1-weighted images.
d], we say that a translation invariant [xi] is homogeneously stabilizing if for all [tau] > 0 there exists an almost surely finite random variable R := R([tau]) such that
The agent does not escape through molten PE or PP, thus achieving a homogeneously dispersed 100% close cell foam part.
To estimate that pharmaceuticals will be released homogeneously across a particular region is, I think, mistaken," she says.