1: The digit 1. 2: The digit 2. 3: The digit 3. 4: The digit 4. 5: The digit 5. 6: The digit 6. 7: The digit 7. 8: The digit 8. 9: The digit 9. 0: The digit 0. .: Decimal Point. =: Equal Symbol. Click this when you start to calculate the expression. AC: All Clear. Clears all of the Variables. +: Plus, which has a meaning of Addition. -: Minus, which has a meaning of Subtraction. *: Times, which has a meaning of Multiplication. /: Divide, which has a meaning of Division. ±: Plus-Minus. When clicked, it turns the positive to negative and vice versa. √: Square Root. ³√: Cube Root. abs: Absolute Value. sin: Sine Function. cos: Cosine Function. tan: Tangent Function. log: Logarithm Base 10. Reverse of Exponentiation. ln: Natural Logarithm. Logarithm but with Base Euler's Number (e). round: Rounds the number to an integer. ceil: Ceiling. asin: Inverse Sine Function. acos: Inverse Cosine Function. atan: Inverse Tangent Function. n!: Factorial. cot: Cotangent (1/Tangent). sec: Secant (1/Cosine). csc: Cosecant (1/Sine). ^: Exponentiation. crd: Chord (2*(Sine(Input/2))). versin: Versine (1-Cosine). cvs: Coversine (1-Sine). vcs: Vercosine (1+Cosine). cvc: Covercosine (1+Sine). hvs: Haversine (Versine/2). hcv: Hacoversine (Coversine/2). hvc: Havercosine (Vercosine/2). hcc: Hacovercosine (Covercosine/2). !n: Subfactorial; also known as Derangement. Γ: Gamma Function, where Γ(n) is (n-1)!. exp: Exponential Function. Basically, exp(x) is e^x. sinc: Sine Cardinal Function, sin(x)/x. floor: Floor Function. ᵗʰrt: Nth root of x. For example, "7th root of 192". sinh: Hyperbolic Sine Function. cosh: Hyperbolic Cosine Function. tanh: Hyperbolic Tangent Function. sgn: Sign Function. Equals -1 if the input is negative; 0 if the input is 0; and 1 if the input is positive. coth: Hyperbolic Cotangent Function. sech: Hyperbolic Secant Function. csch: Hyperbolic Cosecant Function. ℙ-Check: Check if a number is Prime. Fermat ℙ-Check: Check if a number is a Fermat Prime. Fermat Primes are primes of the form 2^2^n+1, and there is only 5 known Fermat Primes. Mersenne ℙ-Check: Check if a number is a Mersenne Prime. Mersenne Primes are primes of the form 2^p-1, where p is a prime. There are 52 known Mersenne primes, the largest one being the largest known prime number. Double Mersenne ℙ-Check: Check if a number is a Double Mersenne prime. Double Mersenne Primes are primes of the form 2^p-1, where p is a Mersenne Prime. There are only 4 known Double Mersenne Primes. Wagstaff ℙ-Check: Check if a number is a Wagstaff Prime. Wagstaff Primes are primes of the form (2^p+1)/3, where p is a prime number. Thabit ℙ-Check: Check if a number is a Thabit Prime. Thabit Primes, also known as 321 Primes or Thābit ibn Qurra Primes, are primes of the form 3*2^n-1. There are 68 known Thabit Primes. exp2: 2^x. expm1: e^x-1. ?: Termial Function = 1+2+3+4+5+…+(n-2)+(n-1)+n. Repunit Check: Check if a number is a repunit, which means it only contains the digit 1. Near-Wall–Sun–Sun ℙ-Check w/ A=1: A Wall–Sun–Sun prime or Fibonacci–Wieferich prime is a kind of prime number that defines as follows - A prime p>5, if p^2 divides the Fibonacci number F(p-(p/5)), where the Legendre symbol (p/5) is equal to 1 if p≡±1 (mod 5), and equal to -1 if p≡±2 (mod 5). As of now, there are no known Wall–Sun–Sun primes, but there is a generalized version called Near-Wall–Sun–Sun primes, which defines that F(p-(p/5)) ≡ Ap (mod p^2) with A being a natural number. This button checks for primes that is a Near-Wall–Sun–Sun Prime with A=1. Wolstenholme ℙ-Check: Check if a number is a Wolstenholme prime. Wolstenholme primes are primes p such that the binomial coefficient (2p-1,p-1) ≡ 1 (mod p^4). There are only 2 known primes of this kind. Φ3: Third Cyclotomic Polynomial. Φ4: Fourth Cyclotomic Polynomial. Φ5: Fifth Cyclotomic Polynomial. Φ6: Sixth Cyclotomic Polynomial. Φ7: Seventh Cyclotomic Polynomial. Φ8: Eighth Cyclotomic Polynomial. Φ9: Ninth Cyclotomic Polynomial. Φ10: Tenth Cyclotomic Polynomial. sinhc: Hyperbolic Sine Cardinal Function; sinh(x)/x. δ: Dirac Delta Function. δ(x) returns Infinity if x=0; and returns 0 if it’s not. ∸: Monus, which has a meaning of runcated Subtraction. If A is less than B, then A∸B = 0; if A is greater or equal to B, then A∸B = A-B. ‽ - Factermial = Factorial * Termial. Φ11: Eleventh Cyclotomic Polynomial. x_sawtooth: Sawtooth Wave Function; x_sawtooth(t) = 2*(t-floor(t+1/2)) when t-1/2 is not an integer. Ψ5: Fifth Cyclotomic Pre-Polynomial. Ψ6: Sixth Cyclotomic Pre-Polynomial. Ψ7: Seventh Cyclotomic Pre-Polynomial. Ψ8: Eighth Cyclotomic Pre-Polynomial. Ψ9: Ninth Cyclotomic Pre-Polynomial. Ψ10: Tenth Cyclotomic Pre-Polynomial. Ψ11: Eleventh Cyclotomic Pre-Polynomial.
