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Maths (Analyse)
Maths (Analyse)
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ariuss3009
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Question
Answer
Współczynnik dwumianowy
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Binomial coefficient
Średnia harmoniczna
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Harmonic mean (HM)
HM-GM-AM-RMS
Średnia geometryczna
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Geometric mean (GM)
HM-GM-AM-RMS
Średnia arytmetyczna
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Arithmetic mean (AM)
HM-GM-AM-RMS
Średnia kwadratowa
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Root mean square (RMS)
HM-GM-AM-RMS
Twierdzenie o ciągach jednomonotonicznych
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Rearrangement inequality
Funkcja "na"
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Surjective Function
Funkcja różnowartościowa
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Injective function (one-to-one function)
Bijekcja
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Bijection
Wartość bezwzględna (moduł)
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Absolute Value (Modulus)
parzysty
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Even
Nieparzysty
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Odd
funkcja (ściśle) rosnąca
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(strictly) increasing function
funkcja (ściśle) malejąca
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(strictly) decreasing function
funkcja (ściśle) monotoniczna
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(absolutely) monotonic function
Funkcja okresowa
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Periodic function
sinus
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sine
cosinus
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cosine
tangens
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tangent
cotangens
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cotangent
NWW - najmniejsza wspólna wielokrotność
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LCM - least common multiple
NWD - największy wspólny dzielnik
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GCD - greatest common divisor
liczba zespolona
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complex number
liczba sprzężona
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complex conjugate
wielomian
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polynomial
funkcja wymierna
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rational function
ograniczenie górne
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upper bound
kres górny
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supremum = lowest upper bound
ograniczenie dolne
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lower bound
kres dolny
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infinum = greatest lower bound
ciąg (nie)skończony
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(in)finite sequence
ciąg arytmetyczny
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arithmetic sequence/progression (AP)
różnica kolejnych wyrazów ciągu arytmetycznego
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common difference
reszta
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remainder
iloraz
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quotient
ciąg geometryczny
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geometric sequence/progression
stosunek między kolejnymi wyrazami ciągu geometrycznego
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common ratio
współczynnik wiodący
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leading coefficient
granica
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limit
zbieżny
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convergent
convergent sequence
rozbieżny
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divergent
divergent sequence
wtedy i tylko wtedy
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if and only if
podciąg
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subsequence
ograniczony
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bounded
bounded sequence
liczba wymierna
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rational number
liczba niewymierna
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irrational number
liczba rzeczywista
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real number
liczba całkowita
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integer
liczba dodatnia / ujemna
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positive / negative number
ułamek
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fraction
ułamek zwykły
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simple fraction
ułamek dziesiętny
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decimal fraction
pierwiastek
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root
liczba naturalna
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natural number
licznik
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numerator
mianownik
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denominator
iloczyn
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product
dzielenie
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division
dodawanie
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addition
odejmowanie
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subtraction
sieczna
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secant
różnica
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difference
pochodna
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derivative
wyprowadzanie pochodnej z granicy
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differentiating from first principles
znajdowanie pochodnej
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differentation
pochodna
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derivative
ekstremum funkcji
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extreme of the function
Punkt krytyczny / stacjonarny
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stationary point
punkt przegięcia
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inflexion point
Funkcja wykładnicza
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Exponential function
całka
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integral
całkowanie
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integration / integrating
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