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Application Quote by Hermann Weyl

“In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.” quote by Hermann Weyl
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“In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.”

Hermann Weyl

About This Quote

Source Book: Space, Time, Matter by Hermann Weyl, 1918

Physical quantities are defined by both their rank and their symmetry properties.

In simple terms: Quantity depends on order and symmetry.

Key Takeaway

Consider both rank and symmetry in analysis.

Themes

physics mathematics symmetry tensor theory

Mood

analytical technical

Type

academic theoretical

When to use this quote

  • material science
  • mechanical engineering
  • theoretical physics

Key Concepts

tensor order symmetry groups invariants

Questions to Reflect On

  • How does symmetry simplify problem solving?
  • When does symmetry fail to describe a system?
A Different Perspective

Symmetry may be broken in real systems, limiting ideal models.

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