AI Math Formula
MathCrave AI Math Formula tool holds great significance as it simplifies and expedites the process of formulating mathematical equations in engineering. By automatically generating formulas, it reduces the time and effort required for engineers and students to come up with these often complex mathematical expressions.
Moreover, the clear explanations accompanying each formula help users better understand the underlying principles and concepts. This enhances their overall comprehension of engineering mathematics and allows them to apply the formulas effectively in various problem-solving scenarios.
The inclusion of worked examples is particularly valuable as it demonstrates the practical implementation of the formulas. Users can see how the equations are used to solve real-world engineering problems, providing them with a concrete understanding of their usefulness and relevance.
MathCrave AI Math formula generator caters to both basic and advanced engineering mathematics. This versatility is significant as it supports learners at different levels of proficiency, from novice students to experienced engineers. It serves as a valuable resource for education, self-study, and professional applications, offering a wide range of formulas and their explanations.
Binomial coefficient
Binomial Formula for Positive Integral n
Properties of Binomial Coefficients
Multinominal formula
Complex numbers;
Arithmetic of complex numbers;
Equality of complex numbers;
Polar form of complex numbers;
Absolute value of a complex number;
Multiplication of complex number in polar form;
Division of complex numbers in polar form;
De Moivre’s Theorem
Roots of Complex Numbers;
Quadratic Equation;
Cubic Equation;
Quartic Equation;
Rectangle of Length b and Width a;
Parallelogram of Altitude h and Base b;
Triangle of Altitude h and Base b;
Trapezoid of Altitude h and Parallel Sides a and b;
Regular Polygon of n Sides Each of Length b;
Circle of Radius r;
Sector of Circle of Radius r;
Radius of Circle Inscribed in a Triangle of Sides a, b, c;
Radius of Circle Circumscribing a Triangle of Sides a, b, c;
Regular Polygon of n Sides Inscribed in Circle of Radius r;
Regular Polygon of n Sides Circumscribing a Circle of Radius r;
Segment of Circle of Radius r;
Ellipse of Semi-major Axis a and Semi-minor Axis b;
Segment of a Parabola;
Rectangular Parallelepiped of Length a, Height b, Width c;
Parallelepiped of Cross-sectional Area A and Height h;
Sphere of Radius r;
Right Circular Cylinder of Radius r and Height h;
Circular Cylinder of Radius r and Slant Height l;
Cylinder of Cross-sectional Area A and Slant Height l;
Right Circular Cone of Radius r and Height h;
Pyramid of Base Area A and Height h;
Spherical Cap of Radius r and Height h;
Frustum of Right Circular Cone of Radii a, b and Height h;
Spherical Triangle of Angles A, B, C on Sphere of Radius r;
Torus of Inner Radius a and Outer Radius b;
Ellipsoid of Semi-axes a, b, c;
Paraboloid of Revolution;
Distance d Between Two Points P1(x1, y1) and P2(x2, y2)
Slope m of Line Joining Two Points P1(x1, y1) and P2(x2, y2)
Equation of Line Joining Two Points P1(x1, y1) and P2(x2, y2)
Equation of Line in Terms of x Intercept a ≠ 0 and y Intercept b ≠ 0
Normal Form for Equation of Line
General Equation of Line
Angle ψ Between Two Lines Having Slopes m1 and m2
Area of Triangle with Vertices at (x1, y1), (x2, y2), (x3, y3)
Transformation of Coordinates Involving Pure Rotation
Transformation of Coordinates Involving Translation and Rotation
Polar Coordinates (r, θ)
Equation of Circle of Radius R, Center at (x, y)
Equation of Circle of Radius R Passing Through Origin
Ellipse with Center C(x0, y0) and Major Axis Parallel to x Axis
Parabola with Axis Parallel to x Axis
Hyperbola with Center C(x0, y0) and Major Axis Parallel to x Axis
Cycloid
Hypocycloid with Four Cusps
Cardioid
Catenary
Three-Leaved Rose
Four-Leaved Rose
Epicycloid
General Hypocycloid
Trochoid
Tractrix
Witch of Agnesi
Folium of Descartes
Involute of a Circle
Evolute of an Ellipse
Ovals of Cassini
Limacon of Pascal
Cissoid of Diocles
Spiral of Archimedes
Distance d Between Two Points P1(x1, y1, z1) and P2(x2, y2, z2)
Direction Cosines of Line Joining Points P1(x1, y1, z1) and P2(x2, y2, z2)
Relationship Between Direction Cosines
Equations of Line Joining P1 (x1, y1, z1) and P2(x2, y2, z2) in Standard Form
Equations of Line Joining P1(x1, y1, z1) and P2(x2, y2, z2) in Parametric Form
Angle e Between Two Lines with Direction Cosines l1, m1, n1 and l2, m2, n2
General Equation of a Plane
Equation of Plane Passing Through Points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3)
Equation of Plane in Intercept Form
Equations of Line Through (x0, y0, z0) and Perpendicular to Plane
Cylindrical Coordinates (r, θ, z);Spherical Coordinates (r, θ, φ )
Equation of Sphere in Rectangular Coordinates
Equation of Sphere in Cylindrical Coordinates
Equation of Sphere in Spherical Coordinates
Equation of Ellipsoid with Center (x0, y0, z0) and Semi-axes a, b, c
Elliptic Cylinder with Axis as z Axis
Hyperboloid of One Sheet
Hyperboloid of Two Sheets
Elliptic Paraboloid
Hyperbolic Paraboloid
Thin rectangular plate with sides a, b
Circular cylinder of radius a and height h
Hollow circular cylinder of outer radius a, inner radius b and height h
Circular plate of radius a;Thin circular ring of radius a
Sphere of radius a
Hollow sphere of outer radius a and inner radius b
Hollow spherical shell of radius a
Ellipsoid with semi-axes a, b, c
Circular cone of radius a and height h
Torus with outer radius a and inner radius b
Trigonometric Functions for a Right Triangle
Relationship Between Degrees and Radians
Relationship Between Degrees and Radians
Relationships Among Trigonometric Functions
Signs and Variations of Trigonometric Functions
Exact Values for Trigonometric Functions of Various Angles
Functions of Negative Angles;Addition Formulas
Functions of Angles in All Quadrants
Relationships Among Functions of Angles in Quadrant I
Double Angle Formulas
Half Angle Formulas
Multiple Angle Formulas
Powers of Trigonometric Functions
Sum, Difference, and Product of Trigonometric Functions
Inverse Trigonometric Functions
Principal Values for Inverse Trigonometric Functions
Relations Between Inverse Trigonometric Functions
Law of Sines;Law of Cosines
Law of Tangents
Relationships Between Sides and Angles of a Spherical Triangle
Napier’s Rules for Right Angled Spherical Triangles
Laws of Exponents
Laws of Logarithms
Change of Base of Logarithms
Euler’s identities
Periodicity of Exponential Functions
Polar Form of Complex Numbers Expressed as an Exponential
De Moivre’s theorem
Logarithm of a Complex Number
Hyperbolic sine of x
Hyperbolic cosine of x
Hyperbolic tangent of x
Hyperbolic cotangent of x
Hyperbolic secant of x
Hyperbolic co-secant of x
