homogeneous polynomial

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homogeneous polynomial

[‚hä·mə′jē·nē·əs ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial all of whose terms have the same total degree; equivalently it is a homogenous function of the variables involved.
References in periodicals archive ?
In this section, we suggest two hypotheses concerning inequality changes to explain the Korean economy; the cubic form hypothesis and the flying geese pattern of regional development hypothesis.
The columns of Table 1 contain various iterations of the model estimated with firm size entered in both linear and cubic forms and with industry fixed effects both excluded and included.
Implicitly, the actual hypothesis tested was that Australia s productivity growth since the mid-1960s conforms to a quadratic or cubic form.
Table I shows that the explanatory power of the regression, as measured by the adjusted [R.sup.2], improves noticeably when moving from a linear to a quadratic form, and improves slightly when moving from a quadratic to a cubic form. The SPSS software program performs tests of the functional form for each set of explanatory variables by computing the adjusted [R.sup.2] of the equation, regressing the natural logarithm of the sale price of the house (In Sale Price) on the various functional forms (linear, quadratic, and cubic) separately for each set of explanatory variables.
In this highly successful installation, the Minimalist box was revealed to be one of many possible inflections of cubic form rather than the definitive articulation it is usually held to be.
Pauling proposes that aluminummanganese alloys, when suddenly cooled, solidify into a cubic form in which each unit contains about 1,120 atoms.
It should add up to a perfectly cubic form, but Donovan has stacked the sheets unevenly to create a top surface that resembles a rolling ocean swell, crested by the paper's torn edges.
The expression of this sinuous trajectory, which is revealed at key moments on the surface of the building's cubic form, has produced a unique and distinctive facade recently recognized with a BDA Berlin Award for Architecture.
sculpture, Untitled, makes clear how delicately Friedman balances the banal and the anal: It consists of a white pedestal, in minimalist twenty-inch cubic form, on which Friedman has placed a practically invisible ball of feces (0.5 mm in diameter, according to the exhibition checklist).
The cubic form offers the greatest volume with the least surface area and full-height windows act as passive solar collectors.
Chosen for its archaic symbolic associations (equal sides reflecting the omnipresence of a singular divinity), the cubic form also alludes to the Ark of the Covenant.
The central cubic form of the Stadthaus, clad in the same Rosa Dante granite as the newly paved parvis, relates to the colour and nature of the cathedral masonry.