Sfärens

Sfärens is the genitive form of the Swedish noun sfär, meaning sphere. It is used to indicate possession or association with a sphere, as in sfärens volym (the sphere’s volume) or sfärens yta (the sphere’s surface). In Swedish, possessives are typically formed by adding the suffix -s to the definite form of a noun; for sfär, the definite form is sfären, and the genitive becomes sfärens.

The term sfär itself refers to a perfectly symmetrical three‑dimensional object consisting of all points at a fixed distance, the radius, from a central point. In mathematical and scientific writing, sfärens is commonly encountered when describing properties related to a sphere, such as its radius, center, or other measurements. Standard formulas associated with the sphere, such as the volume V = 4/3 π r^3 and the surface area A = 4 π r^2, appear in Swedish-language texts as part of the broader discussion of the object's properties.

Usage notes:

- Sfärens is strictly possessive and is used with definite nouns; for indefinite references, a different construction would be used.

- In plural contexts, the corresponding genitive is sfärernas (the spheres’), used similarly to indicate possession by multiple spheres.

Overall, sfärens is a grammatical form rather than a distinct mathematical term, serving to link a property or attribute to a specific sphere in Swedish prose.