Mathematical functions

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Description

Mathematical functions

Objects 51

  • x
  • x^2
  • x^3
  • 1 / (1 + x^2)
  • |x|
  • floor(x)
  • 1/x^2 on (0;1]
  • Indicator function on [0;1]
  • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise
  • sin(x)
  • 1/x on R \ {0}
  • sgn(x)
  • f(x)=sin(1/x); x / 0; f(0) = 0
  • 1 / x on R
  • 1 / x; R \ {0}; f(0)=0
  • f(x)=-1; x in [-1;1]; 0 otherwise
  • f(x)=cos(1/x); x in [-1;1]; f(0)=0
  • f(x)=0
  • f(x)=sgn(sin(x))
  • cos(x)
  • Dirichlet Function
  • tan(x)
  • sec(x)
  • |cos(x)|
  • square wave function
  • floor(-x)
  • f(x)=x; x in [0;1]
  • f(x)=x^; x >=0
  • f(x)=-e^x, x in [-2,2]
  • f(x)=sqrt(x); x>=0
  • 1 / (1-e^(-x))
  • f(x)=x in [0;1]
  • f(x)=x; x in N
  • f(x)=1; x>=0; 0 otherwise
  • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
  • f(x)=-1; x in (-1;0); 1 if x in (0;1]
  • f(x)=c
  • f(x) = sgn(x) * log |x|
  • f(x)=1/x; x in R \ (-1;1)
  • f(x)=-1,x>0=-0,-2, x<0
  • f(x)=x,x<0,x+1,x>=0
  • f(x)=x,x<=1,x+1,x>1
  • f(x)=1/|x|, f(0)=0
  • f(x)=|x|*sin(a/x), f(0)=0
  • Weierstrass function on small interval
  • f(x)=|x|sin(1/x), f(0)=0
  • |x|sin(x)
  • |sin(x)|*sin(x)
  • f(x)=x, x in [-1,0], x^2, x in [0,1]
  • x^3-x
  • -e^x

Attributes 12

  • Continuous
  • Discontinuous
  • Differentiable
  • Integrable
  • Monotonic
  • Strictly Increasing
  • Strictly Decreasing
  • Periodic
  • Even
  • Odd
  • Unbounded
  • Bounded

Incidences 249

  • x - Continuous
  • x - Differentiable
  • x - Integrable
  • x - Monotonic
  • x - Strictly Increasing
  • x - Odd
  • x - Unbounded
  • x^2 - Continuous
  • x^2 - Differentiable
  • x^2 - Integrable
  • x^2 - Even
  • x^2 - Unbounded
  • x^3 - Continuous
  • x^3 - Differentiable
  • x^3 - Integrable
  • x^3 - Monotonic
  • x^3 - Strictly Increasing
  • x^3 - Odd
  • x^3 - Unbounded
  • 1 / (1 + x^2) - Continuous
  • 1 / (1 + x^2) - Differentiable
  • 1 / (1 + x^2) - Integrable
  • 1 / (1 + x^2) - Even
  • 1 / (1 + x^2) - Bounded
  • |x| - Continuous
  • |x| - Integrable
  • |x| - Even
  • |x| - Unbounded
  • floor(x) - Discontinuous
  • floor(x) - Integrable
  • floor(x) - Monotonic
  • floor(x) - Even
  • floor(x) - Unbounded
  • 1/x^2 on (0;1] - Continuous
  • 1/x^2 on (0;1] - Differentiable
  • 1/x^2 on (0;1] - Integrable
  • 1/x^2 on (0;1] - Monotonic
  • 1/x^2 on (0;1] - Strictly Decreasing
  • 1/x^2 on (0;1] - Unbounded
  • Indicator function on [0;1] - Discontinuous
  • Indicator function on [0;1] - Integrable
  • Indicator function on [0;1] - Bounded
  • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise - Discontinuous
  • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise - Bounded
  • sin(x) - Continuous
  • sin(x) - Differentiable
  • sin(x) - Integrable
  • sin(x) - Periodic
  • sin(x) - Odd
  • sin(x) - Bounded
  • 1/x on R \ {0} - Continuous
  • 1/x on R \ {0} - Differentiable
  • 1/x on R \ {0} - Integrable
  • 1/x on R \ {0} - Odd
  • 1/x on R \ {0} - Unbounded
  • sgn(x) - Discontinuous
  • sgn(x) - Integrable
  • sgn(x) - Odd
  • sgn(x) - Bounded
  • f(x)=sin(1/x); x / 0; f(0) = 0 - Discontinuous
  • f(x)=sin(1/x); x / 0; f(0) = 0 - Odd
  • f(x)=sin(1/x); x / 0; f(0) = 0 - Bounded
  • 1 / x on R - Discontinuous
  • 1 / x on R - Odd
  • 1 / x on R - Unbounded
  • 1 / x; R \ {0}; f(0)=0 - Discontinuous
  • 1 / x; R \ {0}; f(0)=0 - Even
  • 1 / x; R \ {0}; f(0)=0 - Unbounded
  • f(x)=-1; x in [-1;1]; 0 otherwise - Discontinuous
  • f(x)=-1; x in [-1;1]; 0 otherwise - Integrable
  • f(x)=-1; x in [-1;1]; 0 otherwise - Even
  • f(x)=-1; x in [-1;1]; 0 otherwise - Unbounded
  • f(x)=cos(1/x); x in [-1;1]; f(0)=0 - Discontinuous
  • f(x)=cos(1/x); x in [-1;1]; f(0)=0 - Even
  • f(x)=cos(1/x); x in [-1;1]; f(0)=0 - Bounded
  • f(x)=0 - Continuous
  • f(x)=0 - Differentiable
  • f(x)=0 - Integrable
  • f(x)=0 - Monotonic
  • f(x)=0 - Periodic
  • f(x)=0 - Even
  • f(x)=0 - Odd
  • f(x)=0 - Bounded
  • f(x)=sgn(sin(x)) - Discontinuous
  • f(x)=sgn(sin(x)) - Integrable
  • f(x)=sgn(sin(x)) - Periodic
  • f(x)=sgn(sin(x)) - Odd
  • f(x)=sgn(sin(x)) - Bounded
  • cos(x) - Continuous
  • cos(x) - Differentiable
  • cos(x) - Integrable
  • cos(x) - Periodic
  • cos(x) - Even
  • cos(x) - Bounded
  • Dirichlet Function - Discontinuous
  • Dirichlet Function - Periodic
  • Dirichlet Function - Bounded
  • tan(x) - Discontinuous
  • tan(x) - Periodic
  • tan(x) - Odd
  • ...

Concepts 138

    • Objects:
    • x
    • x^2
    • x^3
    • 1 / (1 + x^2)
    • |x|
    • floor(x)
    • 1/x^2 on (0;1]
    • Indicator function on [0;1]
    • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise
    • sin(x)
    • 1/x on R \ {0}
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • 1 / x on R
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • f(x)=0
    • f(x)=sgn(sin(x))
    • cos(x)
    • Dirichlet Function
    • tan(x)
    • sec(x)
    • |cos(x)|
    • square wave function
    • floor(-x)
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=x; x in N
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=1/|x|, f(0)=0
    • f(x)=|x|*sin(a/x), f(0)=0
    • Weierstrass function on small interval
    • f(x)=|x|sin(1/x), f(0)=0
    • |x|sin(x)
    • |sin(x)|*sin(x)
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • x^3-x
    • -e^x
    • Attributes:
    • Objects:
    • 1/x^2 on (0;1]
    • floor(-x)
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=-1,x>0=-0,-2, x<0
    • Weierstrass function on small interval
    • -e^x
    • Attributes:
    • Integrable
    • Monotonic
    • Strictly Decreasing
    • Objects:
    • sin(x)
    • f(x)=0
    • f(x)=sgn(sin(x))
    • cos(x)
    • Dirichlet Function
    • tan(x)
    • sec(x)
    • |cos(x)|
    • square wave function
    • |sin(x)|*sin(x)
    • Attributes:
    • Periodic
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=x; x in N
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Monotonic
    • Strictly Increasing
    • Objects:
    • x^2
    • 1 / (1 + x^2)
    • |x|
    • floor(x)
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • f(x)=0
    • cos(x)
    • sec(x)
    • |cos(x)|
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Even
    • Objects:
    • x
    • x^3
    • sin(x)
    • 1/x on R \ {0}
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • 1 / x on R
    • f(x)=0
    • f(x)=sgn(sin(x))
    • tan(x)
    • f(x)=x; x in [0;1]
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • f(x)=|x|sin(1/x), f(0)=0
    • |x|sin(x)
    • |sin(x)|*sin(x)
    • x^3-x
    • Attributes:
    • Odd
    • Objects:
    • x
    • x^2
    • x^3
    • 1 / (1 + x^2)
    • 1/x^2 on (0;1]
    • sin(x)
    • 1/x on R \ {0}
    • f(x)=0
    • cos(x)
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=c
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • x^3-x
    • -e^x
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Objects:
    • x
    • x^3
    • floor(x)
    • 1/x^2 on (0;1]
    • f(x)=0
    • floor(-x)
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=x; x in N
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • Weierstrass function on small interval
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • -e^x
    • Attributes:
    • Monotonic
    • Objects:
    • floor(x)
    • Indicator function on [0;1]
    • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • 1 / x on R
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • f(x)=sgn(sin(x))
    • Dirichlet Function
    • tan(x)
    • sec(x)
    • square wave function
    • floor(-x)
    • f(x)=x; x in N
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x) = sgn(x) * log |x|
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Objects:
    • x
    • x^2
    • x^3
    • |x|
    • floor(x)
    • 1/x^2 on (0;1]
    • 1/x on R \ {0}
    • 1 / x on R
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • tan(x)
    • sec(x)
    • floor(-x)
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x; x in N
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=1/|x|, f(0)=0
    • f(x)=|x|*sin(a/x), f(0)=0
    • |x|sin(x)
    • x^3-x
    • -e^x
    • Attributes:
    • Unbounded
    • Objects:
    • 1 / (1 + x^2)
    • Indicator function on [0;1]
    • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise
    • sin(x)
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • f(x)=0
    • f(x)=sgn(sin(x))
    • cos(x)
    • Dirichlet Function
    • |cos(x)|
    • square wave function
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<=1,x+1,x>1
    • Weierstrass function on small interval
    • f(x)=|x|sin(1/x), f(0)=0
    • |sin(x)|*sin(x)
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Bounded
    • Objects:
    • x
    • x^2
    • x^3
    • 1 / (1 + x^2)
    • |x|
    • 1/x^2 on (0;1]
    • sin(x)
    • 1/x on R \ {0}
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=c
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • Weierstrass function on small interval
    • f(x)=|x|sin(1/x), f(0)=0
    • |x|sin(x)
    • |sin(x)|*sin(x)
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • x^3-x
    • -e^x
    • Attributes:
    • Continuous
    • Integrable
    • Objects:
    • x
    • x^2
    • x^3
    • 1 / (1 + x^2)
    • |x|
    • floor(x)
    • 1/x^2 on (0;1]
    • Indicator function on [0;1]
    • sin(x)
    • 1/x on R \ {0}
    • sgn(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=0
    • f(x)=sgn(sin(x))
    • cos(x)
    • |cos(x)|
    • square wave function
    • floor(-x)
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=1/|x|, f(0)=0
    • f(x)=|x|*sin(a/x), f(0)=0
    • Weierstrass function on small interval
    • f(x)=|x|sin(1/x), f(0)=0
    • |x|sin(x)
    • |sin(x)|*sin(x)
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • x^3-x
    • -e^x
    • Attributes:
    • Integrable
    • Objects:
    • 1 / (1 + x^2)
    • sin(x)
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=c
    • Weierstrass function on small interval
    • f(x)=|x|sin(1/x), f(0)=0
    • |sin(x)|*sin(x)
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Continuous
    • Integrable
    • Bounded
    • Objects:
    • 1 / (1 + x^2)
    • Indicator function on [0;1]
    • sin(x)
    • sgn(x)
    • f(x)=0
    • f(x)=sgn(sin(x))
    • cos(x)
    • |cos(x)|
    • square wave function
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<=1,x+1,x>1
    • Weierstrass function on small interval
    • f(x)=|x|sin(1/x), f(0)=0
    • |sin(x)|*sin(x)
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Integrable
    • Bounded
    • Objects:
    • x
    • x^2
    • x^3
    • |x|
    • 1/x^2 on (0;1]
    • 1/x on R \ {0}
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • |x|sin(x)
    • x^3-x
    • -e^x
    • Attributes:
    • Continuous
    • Integrable
    • Unbounded
    • Objects:
    • x
    • x^2
    • x^3
    • |x|
    • floor(x)
    • 1/x^2 on (0;1]
    • 1/x on R \ {0}
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • floor(-x)
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=1/|x|, f(0)=0
    • f(x)=|x|*sin(a/x), f(0)=0
    • |x|sin(x)
    • x^3-x
    • -e^x
    • Attributes:
    • Integrable
    • Unbounded
    • Objects:
    • floor(x)
    • 1 / x on R
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • tan(x)
    • sec(x)
    • floor(-x)
    • f(x)=x; x in N
    • f(x) = sgn(x) * log |x|
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Unbounded
    • Objects:
    • Indicator function on [0;1]
    • x in [0;1] f(x)=1 x=rational f(x) = 0 otherwise
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • f(x)=sgn(sin(x))
    • Dirichlet Function
    • square wave function
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Bounded
    • Objects:
    • floor(x)
    • Indicator function on [0;1]
    • sgn(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=sgn(sin(x))
    • square wave function
    • floor(-x)
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x) = sgn(x) * log |x|
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Objects:
    • Indicator function on [0;1]
    • sgn(x)
    • f(x)=sgn(sin(x))
    • square wave function
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Integrable
    • Bounded
    • Objects:
    • floor(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • floor(-x)
    • f(x) = sgn(x) * log |x|
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Unbounded
    • Objects:
    • floor(x)
    • floor(-x)
    • f(x)=x; x in N
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Monotonic
    • Objects:
    • x
    • x^3
    • floor(x)
    • 1/x^2 on (0;1]
    • floor(-x)
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x; x in N
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=x,x<0,x+1,x>=0
    • -e^x
    • Attributes:
    • Monotonic
    • Unbounded
    • Objects:
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<=1,x+1,x>1
    • Weierstrass function on small interval
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Integrable
    • Monotonic
    • Bounded
    • Objects:
    • x
    • x^3
    • 1/x^2 on (0;1]
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=c
    • f(x)=1/x; x in R \ (-1;1)
    • Weierstrass function on small interval
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • -e^x
    • Attributes:
    • Continuous
    • Integrable
    • Monotonic
    • Objects:
    • x
    • x^3
    • floor(x)
    • 1/x^2 on (0;1]
    • f(x)=0
    • floor(-x)
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • Weierstrass function on small interval
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • -e^x
    • Attributes:
    • Integrable
    • Monotonic
    • Objects:
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=c
    • Weierstrass function on small interval
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Continuous
    • Integrable
    • Monotonic
    • Bounded
    • Objects:
    • x
    • x^3
    • 1/x^2 on (0;1]
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=1/x; x in R \ (-1;1)
    • -e^x
    • Attributes:
    • Continuous
    • Integrable
    • Monotonic
    • Unbounded
    • Objects:
    • x
    • x^3
    • floor(x)
    • 1/x^2 on (0;1]
    • floor(-x)
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=x,x<0,x+1,x>=0
    • -e^x
    • Attributes:
    • Integrable
    • Monotonic
    • Unbounded
    • Objects:
    • floor(x)
    • floor(-x)
    • f(x)=x; x in N
    • f(x)=x,x<0,x+1,x>=0
    • Attributes:
    • Discontinuous
    • Monotonic
    • Unbounded
    • Objects:
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Bounded
    • Objects:
    • floor(x)
    • floor(-x)
    • f(x)=1; x>=0; 0 otherwise
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=-1,x>0=-0,-2, x<0
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Objects:
    • floor(x)
    • floor(-x)
    • f(x)=x,x<0,x+1,x>=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Unbounded
    • Objects:
    • x
    • x^3
    • 1/x^2 on (0;1]
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=x^; x >=0
    • f(x)=-e^x, x in [-2,2]
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=c
    • f(x)=1/x; x in R \ (-1;1)
    • -e^x
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Objects:
    • x
    • x^2
    • x^3
    • 1/x^2 on (0;1]
    • 1/x on R \ {0}
    • f(x)=x^; x >=0
    • 1 / (1-e^(-x))
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • x^3-x
    • -e^x
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Unbounded
    • Objects:
    • 1 / (1 + x^2)
    • sin(x)
    • f(x)=0
    • cos(x)
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=c
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Bounded
    • Objects:
    • x
    • x^3
    • 1/x^2 on (0;1]
    • f(x)=x^; x >=0
    • 1 / (1-e^(-x))
    • f(x)=1/x; x in R \ (-1;1)
    • -e^x
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Unbounded
    • Objects:
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=-e^x, x in [-2,2]
    • f(x)=x in [0;1]
    • f(x)=c
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Bounded
    • Objects:
    • x
    • x^3
    • sin(x)
    • 1/x on R \ {0}
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • x^3-x
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Odd
    • Objects:
    • x
    • x^3
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=1/x; x in R \ (-1;1)
    • Attributes:
    • Integrable
    • Monotonic
    • Odd
    • Objects:
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • 1 / x on R
    • f(x)=sgn(sin(x))
    • tan(x)
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x) = sgn(x) * log |x|
    • Attributes:
    • Discontinuous
    • Odd
    • Objects:
    • x
    • x^3
    • 1/x on R \ {0}
    • 1 / x on R
    • tan(x)
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • |x|sin(x)
    • x^3-x
    • Attributes:
    • Odd
    • Unbounded
    • Objects:
    • sin(x)
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • f(x)=0
    • f(x)=sgn(sin(x))
    • f(x)=x; x in [0;1]
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=|x|sin(1/x), f(0)=0
    • |sin(x)|*sin(x)
    • Attributes:
    • Odd
    • Bounded
    • Objects:
    • x
    • x^3
    • sin(x)
    • 1/x on R \ {0}
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • f(x)=|x|sin(1/x), f(0)=0
    • |x|sin(x)
    • |sin(x)|*sin(x)
    • x^3-x
    • Attributes:
    • Continuous
    • Integrable
    • Odd
    • Objects:
    • x
    • x^3
    • sin(x)
    • 1/x on R \ {0}
    • sgn(x)
    • f(x)=0
    • f(x)=sgn(sin(x))
    • f(x)=x; x in [0;1]
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • f(x)=|x|sin(1/x), f(0)=0
    • |x|sin(x)
    • |sin(x)|*sin(x)
    • x^3-x
    • Attributes:
    • Integrable
    • Odd
    • Objects:
    • sin(x)
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=|x|sin(1/x), f(0)=0
    • |sin(x)|*sin(x)
    • Attributes:
    • Continuous
    • Integrable
    • Odd
    • Bounded
    • Objects:
    • sin(x)
    • sgn(x)
    • f(x)=0
    • f(x)=sgn(sin(x))
    • f(x)=x; x in [0;1]
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x)=|x|sin(1/x), f(0)=0
    • |sin(x)|*sin(x)
    • Attributes:
    • Integrable
    • Odd
    • Bounded
    • Objects:
    • x
    • x^3
    • 1/x on R \ {0}
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • |x|sin(x)
    • x^3-x
    • Attributes:
    • Continuous
    • Integrable
    • Odd
    • Unbounded
    • Objects:
    • x
    • x^3
    • 1/x on R \ {0}
    • f(x) = sgn(x) * log |x|
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • |x|sin(x)
    • x^3-x
    • Attributes:
    • Integrable
    • Odd
    • Unbounded
    • Objects:
    • 1 / x on R
    • tan(x)
    • f(x) = sgn(x) * log |x|
    • Attributes:
    • Discontinuous
    • Odd
    • Unbounded
    • Objects:
    • sgn(x)
    • f(x)=sin(1/x); x / 0; f(0) = 0
    • f(x)=sgn(sin(x))
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • Attributes:
    • Discontinuous
    • Odd
    • Bounded
    • Objects:
    • sgn(x)
    • f(x)=sgn(sin(x))
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • f(x) = sgn(x) * log |x|
    • Attributes:
    • Discontinuous
    • Integrable
    • Odd
    • Objects:
    • sgn(x)
    • f(x)=sgn(sin(x))
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Odd
    • Bounded
    • Objects:
    • f(x) = sgn(x) * log |x|
    • Attributes:
    • Discontinuous
    • Integrable
    • Odd
    • Unbounded
    • Objects:
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Odd
    • Bounded
    • Objects:
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=-1; x>0; f(x)=-1; x<0; f(0)=0
    • Attributes:
    • Integrable
    • Monotonic
    • Odd
    • Bounded
    • Objects:
    • x
    • x^3
    • f(x)=0
    • f(x)=x; x in [0;1]
    • f(x)=1/x; x in R \ (-1;1)
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Odd
    • Objects:
    • x
    • x^3
    • 1/x on R \ {0}
    • f(x)=1/x; x in R \ (-1;1)
    • f(x)=|x|*sin(a/x), f(0)=0
    • x^3-x
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Odd
    • Unbounded
    • Objects:
    • sin(x)
    • f(x)=0
    • f(x)=x; x in [0;1]
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Odd
    • Bounded
    • Objects:
    • x
    • x^3
    • f(x)=1/x; x in R \ (-1;1)
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Odd
    • Unbounded
    • Objects:
    • f(x)=0
    • f(x)=x; x in [0;1]
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Odd
    • Bounded
    • Objects:
    • x^2
    • 1 / (1 + x^2)
    • f(x)=0
    • cos(x)
    • f(x)=c
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Even
    • Objects:
    • floor(x)
    • f(x)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • Attributes:
    • Integrable
    • Monotonic
    • Even
    • Objects:
    • floor(x)
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • sec(x)
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Even
    • Objects:
    • x^2
    • |x|
    • floor(x)
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • sec(x)
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Even
    • Unbounded
    • Objects:
    • 1 / (1 + x^2)
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • Attributes:
    • Even
    • Bounded
    • Objects:
    • x^2
    • 1 / (1 + x^2)
    • |x|
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • f(x)=c
    • Attributes:
    • Continuous
    • Integrable
    • Even
    • Objects:
    • x^2
    • 1 / (1 + x^2)
    • |x|
    • floor(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Integrable
    • Even
    • Objects:
    • 1 / (1 + x^2)
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • f(x)=c
    • Attributes:
    • Continuous
    • Integrable
    • Even
    • Bounded
    • Objects:
    • 1 / (1 + x^2)
    • f(x)=0
    • cos(x)
    • |cos(x)|
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • Attributes:
    • Integrable
    • Even
    • Bounded
    • Objects:
    • x^2
    • |x|
    • Attributes:
    • Continuous
    • Integrable
    • Even
    • Unbounded
    • Objects:
    • x^2
    • |x|
    • floor(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Integrable
    • Even
    • Unbounded
    • Objects:
    • floor(x)
    • 1 / x; R \ {0}; f(0)=0
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • sec(x)
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Even
    • Unbounded
    • Objects:
    • f(x)=cos(1/x); x in [-1;1]; f(0)=0
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • Attributes:
    • Discontinuous
    • Even
    • Bounded
    • Objects:
    • floor(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Even
    • Objects:
    • square wave function
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • Attributes:
    • Discontinuous
    • Integrable
    • Even
    • Bounded
    • Objects:
    • floor(x)
    • f(x)=-1; x in [-1;1]; 0 otherwise
    • f(x)=1/|x|, f(0)=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Even
    • Unbounded
    • Objects:
    • floor(x)
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Even
    • Objects:
    • f(x)=0
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • f(x)=c
    • Attributes:
    • Integrable
    • Monotonic
    • Even
    • Bounded
    • Objects:
    • floor(x)
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Even
    • Unbounded
    • Objects:
    • f(x)=-1; x in (-1;0); 1 if x in (0;1]
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Even
    • Bounded
    • Objects:
    • f(x)=0
    • f(x)=c
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Even
    • Bounded
    • Objects:
    • x^2
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Even
    • Unbounded
    • Objects:
    • 1 / (1 + x^2)
    • f(x)=0
    • cos(x)
    • f(x)=c
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Even
    • Bounded
    • Objects:
    • x
    • x^3
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Odd
    • Unbounded
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Objects:
    • f(x)=x; x in N
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Monotonic
    • Strictly Increasing
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x; x in N
    • f(x)=x,x<0,x+1,x>=0
    • Attributes:
    • Monotonic
    • Strictly Increasing
    • Unbounded
    • Objects:
    • f(x)=x in [0;1]
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Bounded
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Continuous
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x in [0;1]
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Objects:
    • f(x)=x in [0;1]
    • f(x)=x, x in [-1,0], x^2, x in [0,1]
    • Attributes:
    • Continuous
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Bounded
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • Attributes:
    • Continuous
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Unbounded
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • f(x)=sqrt(x); x>=0
    • 1 / (1-e^(-x))
    • f(x)=x,x<0,x+1,x>=0
    • Attributes:
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Unbounded
    • Objects:
    • f(x)=x; x in N
    • f(x)=x,x<0,x+1,x>=0
    • Attributes:
    • Discontinuous
    • Monotonic
    • Strictly Increasing
    • Unbounded
    • Objects:
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Bounded
    • Objects:
    • f(x)=x,x<0,x+1,x>=0
    • f(x)=x,x<=1,x+1,x>1
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Objects:
    • f(x)=x,x<0,x+1,x>=0
    • Attributes:
    • Discontinuous
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Unbounded
    • Objects:
    • x
    • x^3
    • f(x)=x^; x >=0
    • 1 / (1-e^(-x))
    • Attributes:
    • Continuous
    • Differentiable
    • Integrable
    • Monotonic
    • Strictly Increasing
    • Unbounded
  • ...