[IPage]
1=Data Input
2=Results
3=Results
4=Graphics
5=Table of values
[ITool]
1=Cut
2=Copy
3=Paste
4=Snapshot
5=Demo
[IPrint]
0=Print
1=Printer setup
[IDatei]
0=&File
10=Open
11=Data Files
12=All Files
13=Comma separated
20=Save
21=Overwrite INI File
30=Close
[IOpt]
0=Options
1=Language
2=Layout
3=Fonts
4=Directories
5=German
6=English
7=French
8=Size
9=Multiple Documents
10=Full Screen
11=Captions
12=Comments
13=Greek
14=Results
15=Options
16=Messages
17=Default
18=Accessories
19=Data
20=Local Installation
21=Portable Installation
22=Options successfully saved
[IQuit]
0=Quit
1=Do you want to quit the #13#10 program MatheAss?
2=Please Confirm
3=Cancel
[IAlg]
0=&Algebra
[IPrim]
0=Prime numbers
1=All prime numbers between two natural numbers a and b or the prime numbers no. a to no. b are determined.
2=between a and b
3=prime number
4=between
5=and
6=from no.
7=to no.
[IPrimtup]
0=Prime k-tuples
1=All twin primes, cousin prims, sexy primes and prime triplets between two natural numbers a and b are determined,.
2=lower limit
3=upper limit
4=Twin primes
5=Cousin primes
6=Sexy primes
7=Prime triplets
8= between
9= and
10=1 pair of
11= pairs of
12=1 tuple of
13= tuples of // plural
14= of the form
[IPrfz]
0=Prime Factorization
1=The prime factorization of a natural number n < 10^14 is calculated.
3=prime
[IggT]
0=Greatest common divisor
1=The greatest common divisor (GCD) the least common multiple (LCM) and the sets of divisors of up to 10 numbers are calculated.
2=GCF
3=LCM
4=Greatest common factor
5=Least common multiple
6=Sets of divisors
[IProz]
0=Percentage Calculation
1=Basic value, percentage value, percentage p or p%, growth factor and final value are calculated if two independent ones are entered.
2=Basic value
3=Percentage value
4=Percentage
5=Growth factor
6=Final value
[IDez2Br]
0=Decimals to Fractions
1=Periodical decimals are transformed to fractions.
2=Non-periodical part
3=Period
[IBr2Dez]
0=Fractions to Decimals
1=Fractions are transformed in periodical decimals and the period and its length are determined.
2=Numerator
3=Denominator
4=Periodical from the
5=th decimal digit.
6=The length of the period is
7=digits.
8=Terminating decimal
9=After 1000 decimals no period detected.
[IBino]
0=Binomials of n-th Degree
1=The program calculates the binomial
2=with 1 < n < 500.
[IGlei4]
0=Equations of 4-th Degree
1=The solutions of the following equation are calculated
2=Append solutions
[IDio]
0=Diophantine Equations
1=The integer solutions of the following equation are calculated
2=integer
[IPyth]
0=Pythagorean Triples
1=The Pythagorean triples between two bounds are calculated.
2=Lower bound
3=Upper bound
[IHuge]
0=Calculation with huge numbers
2=Error
3=Overflow
[ISysteme]
0=Calculation in place value systems
1=Base
2=Error
3=Overflow
[IBruch]
0=Calculation with fractions
2=Error
3=Overflow
[IComplex]
0=Calculation with complex numbers
2=Error
3=Overflow
[IBigInt]
0=Calculating with large integers
1=Calculations with integers with a maximum of 10000 digits.
2=error
3=overflow
-1=Calculating with large integers
[IWinCalc]
0=Execute Windows Calc
[IGeo]
0=&Geometry
[IDrei]
1=Edges
2=Vertices
3=Angles
4=Altitudes
5=Medians
6=Bisectrices
7=Circumcircle
8=Incircle
9=Area
10=Perimeter
11=
12=Perpendicular bisec.
13=Medians
14=Angle bisectors
15=Altitudes
16=Incircle
17=Circumcircle
18=Excircles
19=Circumcenter
20=Incenter
21=Orthocenter
22=Centroid
23=Perp. feet
[IDrei1]
0=Right-angled Triangles
1=Given two of the elements of a right-angled triangle the others are calculated.
2=Cathete
3=Cathete
4=Hypotenuse
5=Angle
6=Hypot. segment
7=Altitude
8=Area
[IDrei2]
0=Triangles by three Elements
1=Given three elements of any triangle the program calculates the sides, altitudes, medians, bisectrices, circumcircle, incircle, perimeter and area.
2=1st solution
3=2nd solution
4=no 2nd solution
[IDrei3]
0=Triangles by three Points
1=Given three vertices of a triangle all elements are calculated.
[IBesGer]
0=Special lines in a triangle
1=The equations of the perpendicular bisectors, bisector, bisector and heights of a triangle are determined, as well as their intersections.
2=Vertices
3=Medians
4=Angel bisectors
5=Altitudes
6=Incircles
7=Circumcircle
8=Excircles
9=Circumcenter
10:s:= 'Center of the incircle.
11:s:= 'Orthocenter
12:s:= 'Centroid
13:s:= 'To be drawn:
[IPoly1]
0=Regular Polygons
1=Given one of the following elements of a polygon with n vertices, the others are calculated.
2=Side a
3=Circumcircle rc
4=Incircle ri
5=Perimeter p
6=Area A
7=Vertices n
[IPoly2]
0=Arbitrary Polygons
1=Area, perimeter and centroid of a polygon are calculated.
2=Vertices
3=Area A
4=Perimeter p
5=Centroid of vertices
6=CV
7=Centroid of area
8=CA
[IAbb]
0=Mappings of Polygons
100=Polygon
101=Enter the polygone which you want to map and define the maps.
200=Mappings
201=Replace
202=Copy
203=Cut
204=Add
205=Construction lines
210=Translation
211=Translation vector
220=Axial symmetry
221=Axe of symmetry
230=Point symmetry
231=Centre of symmetry
240=Rotation
241=Centre of rotation
242=Angel of rotation
250=Homothetic transformation
251=Centre of stretching
252=Factor of stretching
260=Shear transformation
261=Shear axe
262=Shear angel
300=Mapped points
301=Counter image
400=Graphics
[IKreis]
0=Circular Sections
1=Given two of the following elements of a circular section the others are calculated.
2=Radius r
3=Angle
4=Arc b
5=Chord s
6=Section A1
7=Segment A2
8=Area A
9=Perimeter p
10=Distance d
11=Arrow height h
[ITang]
0=Tangents to circles
1=The following tangente lines are calculated
2=The tangent to a circle k at a point P
3=The tangents to a circle k through a point P outside the circle
4=The tangents to a circle k parallel to a straight line g
5=The tangents to two circles k1 and k2
6=Polar
7=P lies within k
8=k2 is entirely in k1
9=Perpendicular line
10=Points of contact
11=Tangent to k in P
12=Tangents to k through P
13=Tangents on k parallel to g
14=Tangents to k1 and k2
15=Outer tangents
16=Inner tangents
[IX2d]
0=Intersections in the Plane
[IXGer2d]
0=Intersection of two Lines (2D)
1=Given two lines, the program calculates the intersection point, the intersection angle and their distances from origin.
2=Intersection point of g and h
3=Intersection angle of g and h
4=Distances from origin
5=g by 2 pts
6=h by 2 pts
7=g and h are parallel
8=g and h are identical
[IXGerKr]
0=Intersection of Circle and Line
1=The program determines the intersection points of a circle and a line.
2=g by 2 pts.
3=Circle and line
5=Intersection points
6=Length of the chord
7=Point of tangency
8=Non-intersecting circle and line
[IXKreis]
0=Intersection of two Circles
1=The program determines the intersection points of two circles and the connecting line.
2=Given are the circles
3=Intersection points
4=Connecting line
5=Point of tangency
6=Tangent line
7=Non-intersecting circles
[IKoSys]
0=Coordinate Systems
1=Transformation between Cartesian coordinates, polar coordinates and cylindrical coordinates.
2=Coordinates
3=Cartesian
4=polar
5=cylindrical
[IPlaton]
0=Platonic Bodies
[ITetra]
0=The Tetrahedron
1=Given one of the following elements of a tetrahedron then the others are calculated.
2=Edge a
3=Apothem h1
4=Altitude h2
5=Circumradius rc
6=Inradius ri
7=Volume V
8=Surface S
[IHexa]
0=The Hexahedron
1=Given one of the following elements of a hexahedron then the others are calculated.
2=Edge a
3=Face Diagonal d1
4=Body Diagonal d2
5=Circumradius rc
6=Inradius ri
7=Volume V
8=Surface S
[IOkta]
0=The Octahedron
1=Given one of the following elements of an octahedron then the others are calculated.
2=Edge a
3=Apothem h1
4=Altitude h2
5=Circumradius rc
6=Inradius ri
7=Volume V
8=Surface S
[IDodeka]
0=The Dodecahedron
1=Given one of the following elements of a dodecahedron then the others are calculated.
2=Edge a
3=Face Diagonal d
4=Face Altitude h
5=Circumradius rc
6=Inradius ri
7=Volume V
8=Surface S
[IIkosa]
0=The Icosahedron
1=Given one of the following elements of an icosahedron then the others are calculated.
2=Edge a
3=Apothem h1
4=Altitude h2
5=Circumradius rc
6=Inradius ri
7=Volume V
8=Surface S
[IKoerp]
0=Other Bodies
[IPrisma]
0=The regular Prism
1=Given two of the following elements of a regular prism the others are calculated.
2=Edge a
3=Altitude h
4=Circumradius rc
5=Inradius ri
6=Volume V
7=Base B
8=Surface S
9=Vertices n
[IZyl]
0=The right circular Cylinder
1=Given two of the following elements of a right circular cylinder the others will be calculated.
2=Radius r
3=Altitude h
4=Perimeter p
5=Volume V
6=Base B
7=Lateral Surface L
8=Surface S
[IPyra]
0=The regular Pyramid
1=Given two of the following elements of a regular pyramid the others are calculated.
2=Edge a
3=Lateral edge s
4=Altitude h1
5=Apothem h2
6=Volume V
7=Surface S
8=Face A
[IKegel]
0=The right circular Cone
1=Given two of the following elements of a right circular Cone the others are calculated.
2=Radius r
3=Altitude h
4=Apothem s
5=Volume V
6=Lateral Surface L
7=Base B
8=Surface S
[IKugel1]
0=The Sphere
1=Given one of the first five elements of a sphere the others are calculated.
2=Radius r
3=Diameter d
4=Perimeter p
5=Surface S
6=Volume V
7=Parallel circle
8=a
9=Radius r'
10=Perimeter u'
[IGerade]
0=Line through two Points
1=Two points determine a straight line. Its equation is formed and its position to the co-ordinate planes is analyzed.
2=Line through
3=Parametric representation
4=Position to the xy plane
5=Position to the yz plane
6=Position to the xz plane
7=Orthogonal projection
8=Point of intersection
9=Angel of intersection
10=Distance from origin
[IEbene]
0=Plane through three Points
1=Three non-collinear points determine a plane. The equation of this plane is formed.
2=Plane through the points
3=Point-slope-form
4=Equation in coordinates
5=Distance from origin
6=Trace points
[IKugel2]
0=Sphere through four Points
1=Four non-coplanar points determine a sphere. The equation of this sphere is formed.
2=Sphere through the points
3=Normal form
4=Center and radius
[IX3d]
0=Intersections in the Space
[IGetAB]
0=Enter a line
1=Line through the points A and B
[IGetABC]
0=Enter a plane
1=Plane through the points A, B and C
[IGetVGl]
0=Enter a plane
1=Vector equation of the plane
[IXGer3d]
0=Intersection of two Lines (3D)
1=Given two lines, the program calculates the intersection point, the intersection angle and their distances from origin.
2=g by 2 pts
3=h by 2 pts
4=Intersection point of g and h
5=Intersection angle of g and h
6=Identical lines
7=Parallel lines
8=Skew lines
9=Distance
10=Foots of the common perpendicular
11=Distances from origin
[IXGerEb]
0=Intersection of Plane and Line
1=Given a plane and a line the program calculates the intersection point and the intersection angle.
2=E vectorial
3=E by 3 points
4=g by 2 points
5=Plane E :
6=Line g :
7=Intersection point :
8=Intersection angle :
9=Plane and line are parallel
10=The line lies in the plane
[IXEbene]
0=Intersection of two Planes
1=Given two planes the program determines the intersection line, the distance from the origin and the intersection angle.
2=Given the two planes:
3=Intersection line:
4=Distance from origin:
5=Intersection angle:
6=by 3 pts.
7=vect. equ.
9=Parallel planes
[IXGerK]
0=Inters. of Sphere and Line
1=The program determines the intersection points of a sphere and a line.
2=by 2 pts.
3=Sphere :
4=Line :
5=Intersection points :
6=Length of the chord :
7=Point of tangency :
[IXEbKu]
0=Inters. of Sphere and Plane
1=The program determines the intersection circle of a plane and a sphere with center M and radius r .
2=Plane :
3=Sphere:
4=Intersection circle :
11=by 3 pts.
12=vect. equ.
[IXKugel]
0=Intersection of two Spheres
1=Given two spheres the program determines the intersection circle and the intersection plane.
2=Given the two spheres:
3=Intersection circle:
4=Intersection plane :
[IAbstand]
0=Distances
end;
[IAbstPP]
0=Distance between two Points
1=The program calculates the distance between two points A and B
2=Distance between A and B :
end;
[IAbstPG]
0=Distance between Point and Line
1=The program calculates the distance between a point and a line
2=Distance between P and g :
3=g bye 2 pts
end;
[IAbstPE]
0=Distance between Point and Plane
1=The program calculates the distance between a point and a plane
2=Distance between P and E :
end;
[IAbstGG]
0=Distance between two Lines
end;
[IAbstGE]
0=Distance between Line and Plane
end;
[IAbstEE]
0=Distance between two Planes
end;
[IAna]
0=A&nalysis
[IPolDiv]
0=Division of Polynomials
1=The program calculates the product and the quotient of two polynomials.
2=Polynomial
3=Product
4=Quotient
5=Remainder
6=Decimal coeff.
[IPolFak]
0=Factorizing Polynomials
1=The rational zeros and the decomposition of a polynomial in linear factors are determined
2=Rational zeros
3=No rational zeros
4=Irrational zeros
[IPolTrans]
0=Transforming Polynomials
1=A polynomial p(x) can be shifted or be strechted in x-direction and y-direction.
2=Shifted by
3=Stretched by
[IPolyggT]
0=Polynomial GCF and lcm
1=The greatest common factor (GCF) and the least common multiple (LCM) of two polynomials
2=Polynomial
3=Further common factors are possible !!
[IFPlot1]
0=Function Plotter
1=Determine the functions of which the corresponding curves should be drawn.
2=Functions
3=Graphics
4=Angle mode
[IFPLot2]
0=Piecewise Functions
1=Plotter for piecewise-defined functions consisting of f1 to f9.
2=Function
3=Graphic
4= from
5= to
6= Show boundary points
7=Angle mode
[IFPlot3]
0=Parametric Curves
1=Plotter for functions in parametric representation.
2=Function
3=Graphic
21=Parameter k from :
22= to
[ISchar]
0=Family of Curves
1=Plotter for a family of curves with parameter k.
2=Function
21=k out of {
22=or k from :
23= to
24= step
[IPolFkt]
0=Polinomial Functions
1=The derivations and the antiderivative of a polinomial function are determined. In addition the function is examined for zeros, extremes and turning points.
2=Integral
20=Derivations :
21=Antiderivative
31=Zeros :
32=Extremes :
33=Pts of inflection
34=No rational zeros
35=No extremes
36=No points of inflection
40=Further search graphically with
41=None found
42=Axial symmetric to
43=Cetntrally symmetric to
44=Symmetry
[IRatFkt]
0=Rational Functions
1=From a rational function f(x) the derivatives were determined. In addition, the function is examined for singularities, zeros, extremes and points of inflection.
20=Derivatives
21=Continuous replacement
31=Zeros
32=Extrema
33=Pts of inflection
34=No zeros
35=No extremes
36=No points of inflection
40=Further search graphically with
41=None found
42=Axial symmetric to
43=Cetntrally symmetric to
44=Symmetry
60=Singularities
61=Eliminable Gap
62=Pole with change of sign
63=Pole without change of sign
70=Behavior for
71=Horizontal Asymptote
72=Oblique Asymptote
73=Curvilinear Asymptote
[IKudis]
0=Curve Discussion
1=Function
2=Discussion
3=Graph
4=Table of values
11=Curve discussion of an arbitrary function. Zeros, extremes and points of inflection are determined.
12=Discussion in the range from
13=to
14=Accuracy
15=Angle mode
16= raw
17= median
18= fine
19= very fine
20=Derivations
21=Draw
31=Zeros
32=Extremes
33=Pts of inflection
34=No zeros
35=No extremes
36=No points of inflection
37=Calculating values ...
38=Looking for reversals of sign ...
39=Verify if points are in the domain of definition.
[IIter]
0=Newton-Iteration
1=Approximation of zeros of f(x) by Newton's method with first guess x0.
[IReihen]
0=Series Expansion
1=Plotter for functions given as a series over f(x,k). You may develop the function with different parameter ranges and different y-offset.
11=k from
12=to
13=with offset dy =
[IInteg ]
0=Integral Calculus
1=The integral is calculated over f1-f2 within the limits from a to b. If required, the arc lengths in the interval [a; b] as well as the twisting moments and rotation volumes when rotating around the x or y axis can be calculated.
2=Limits of integration from
3=to
4=Oriented content
5=Absolute content
6=Twisting moments
7=Bodies of revolution
8=Centroid
9=Arc lengths
[IPlot3d]
0=Area Functions
1=Plotter for an area function f(x,y), which may contain a sub term u.
2=f(x,y) =
3=u(x,y) =
4=x-range from
5=y-range from
6=z-range from
7= to
8=Number of lines :
9= symmetric
10= adjust
11= color
[ISto]
0=&Stochastic
[IStat]
0=Statistics
1=Mean, median, standard deviation and variance of a sample and the corresponding histogram is calculated.
2=Allowed delimiters are ; \ and spaces.
3=Class length
4= Color
20=Dates:
21=Number of dates
22=Maximum
23=Minimum
24=Mean
25=Median
26=Variance
27=Standard deviation
31=Class length for histogram
[IRegr]
0=Regression
1=The regression curve to fit a sample of points is calculated. You may choose between the following types of regression and may displace or stretch all points in x- or y-direction if necessary.
11=Proportional regression
12=Linear regression
13=Geometrical regression
14=Exponential regression
15=Logarithmic regression
16=Polynom regression
31=Type of regression :
32=Displacement
33=Stretching
34=Coefficient of determination
35=Coefficient of correlation
36=Standard deviation
37=inverse function
38=Values
41=from
42=to
43=step
44=Calculate
[IVerhulst]
0=Logistic regression
1=For a given saturation limit S the program determines the initial value f(0) and the proportionality factor k for an adjustment of the function on the given pairs of values
2=Saturation limit
3=Data from
4=Inflection point
5=Maximum growth rate
6=Dark figure
7=Round results
8=1st date
9=Date
10=In logistical growth, the growth rate is proportional #13#10to the stock and the saturation deficit
11=From this follows the differential equation:
12=with the solution:
[IKombi]
0=Combinatorial Analysis
1=The number of arrangements and combinations of k out of n elements are calculated.
2=Arrangements without repetit.
3=Arrangements with repetitions
4=Combinations without repetit.
5=Combinations with repetitions
6=Permutations of k
[IBinVer]
0=Binomial Distribution
1=For a b(k;n;p) distributed random variable X with fixed n and p you receive
2=- a histogram of the probabilities P(X=k)
3=- a table of their values from k-min to k-max
4=- the probability P(k-min≤X≤k-max)
[IHypVer]
0=Hyper geometric Distr.
1=For a h(k,n,m,r) distributed random variable X with fixed n, m and r you receive
2=- a histogram of the probabilities P(X=k)
3=- a table of their values from k-min to k-max
4=- the probability P(k-min≤X≤k-max)
5=Sample of n out of m with r hits. Verify that r 2^32
34=No integer solution
35=0^0 not defined
36=Identical spheres
37=universally valid
38=No files found
39=Improper interval
40=No help available
41=divergent
42=not defined
43=Syntax error
44=overflow
45=No text is highlighted
46=No text can be insert here
47=No program window is opened
48=No graphics window is opened
49=For this feature, please run the program as administrator.
50=Attention