Algebra Flashcards

1
Q

Permutari

A

n!

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2
Q

Aranjamente

A

n!/ (n-k)!

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3
Q

Combinari

A

n!/ k!(n-k)!

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4
Q

Lege asociativa

A

(x ∘ y) ∘ x = x (y ∘ z)

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5
Q

Lege comutativa

A

x ∘ y = y ∘ x

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6
Q

Legea are element neutru

A

x ∘ e = e ∘ x = x

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7
Q

Legea are element simetrizabil

A

x ∘ x’ = x’ ∘ x = e

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8
Q

Legea are element absorbant

A

x ∘ a = a ∘ x = a

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9
Q

Termenul general intr-o progresie geometrica

A

b(n) = b1 x q^(n-1)

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10
Q

Suma n termeni intr-o progresie geometrica

A

S(n) = b1 (q^n - 1) / q-1

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11
Q

Termen general intr-o progresie aritmetica

A

a(n) = a1 + r(n-1)

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12
Q

Suma n termeni intr-o progresie aritmetica

A

S(n) = n(a1 + an) / 2

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13
Q

Coordonatele varfului parabolei

A

-b/2a si -Δ/4a

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14
Q

Axa de simetrie a unei parabole

A

x = -b/2a

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15
Q

Relatiile lui Viette

A
  1. x1 + x2 = -b/a

2. x1 ⋅ x2 = c/a

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