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词汇 Euler's formula
释义

Definition of Euler's formula in English:

Euler's formula

noun
  • The geometrical formula V − E + F = 2, where V, E, and F are the numbers of vertices, edges, and faces of any simple convex polyhedron or of an equivalent topological graph.

    欧拉公式

    Example sentencesExamples
    • Mathematicians were forced to consider the question of what constitutes a hole in a solid and what that has to do with Euler's formula for polyhedra.
    • Another successful project that has been made using puppetry is explaining Euler's formula for platonic solids.
    • We can use equations and together now to expand Euler's formula in a different way, replacing all the Fibonacci numbers by Lucas numbers.
    • Now let's use Euler's formula to figure out how many faces there are.
    • These data were analyzed and, as a result, the students discovered Euler's formula (number of faces plus number of vertices minus 2 equals number of edges).

Definition of Euler's formula in US English:

Euler's formula

noun
  • The geometric formula V − E + F = 2, where V, E, and F are the numbers of vertices, edges, and faces of any simple convex polyhedron or of an equivalent topological graph.

    欧拉公式

    Example sentencesExamples
    • We can use equations and together now to expand Euler's formula in a different way, replacing all the Fibonacci numbers by Lucas numbers.
    • Now let's use Euler's formula to figure out how many faces there are.
    • Mathematicians were forced to consider the question of what constitutes a hole in a solid and what that has to do with Euler's formula for polyhedra.
    • Another successful project that has been made using puppetry is explaining Euler's formula for platonic solids.
    • These data were analyzed and, as a result, the students discovered Euler's formula (number of faces plus number of vertices minus 2 equals number of edges).
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