→ Decomposition of an Integer Number in Prime Factors → Simplification of a Fraction with an Integer Numerator and Denominator → Additon of two Fractions with Integer positive Numerator and Denominator → Subtraction of two Fractions with Integer positive Numerator and Denominator → Largest common Divisor of two positive Integers → Largest common Divisor of a set of positive Integers → Smallest common Multiple of two positive Integers → Smallest common Multiple of a set of positive Integers → Convert Decimal to HexaDecimal (Base16) → Convert Decimal to Binary (Base2) → Convert HexaDecimal (Base16) to Decimal → Convert Binary (Base2) to Decimal → Convert a Number between any Bases
→ Factorials: Product of the n first integers → Arrangements of n éléments taken k at a time (in order) → Combinations of n éléments taken k at a time (without order)
→ Inverse Matrix of a two-dimensional Matrix → Inverse Matrix of a three-dimensional Matrix → Inverse Matrix of a four-dimensional Matrix → Determinant of a two-dimensional Matrix → Determinant of a three-dimensional Matrix → Determinant of a four-dimensional Matrix → Two-dimensional Matrix x two-dimensional Vector → Three-dimensional Matrix x three-dimensional Vector → Four-dimensional Matrix x four-dimensional Vector
→ Any Triangle: Lengthes an Angles → Any Triangle: Incircle → Any Triangle: Circumcircle → Any Triangle: Excircles → Rectangular Triangle → Isoceles Triangle → Equilateral Triangle → Square → Rectangle → Parallelogram → Rhombus → Circle → Power of an inner point for the circle → Power of an outer point for the circle → Circular Segment, Chord and circular Arc
→ Cube (regular hexahedron) → Square Pyramid → Straight-sided Pyramid trunk with square bases → Regular Tetrahedron → Sphere → Sphere Segment → Ellipsoïd → Straight Cone → Straight truncated Cone → Regular torus
→ Straight-Line: Intersections with the Axes determined from the Equation → Straight-Line: Equation determined from two points → Two straight Lines: Intersection Point → Parabola: Characteristics determined from the Equation → Parabola: Equation determined from Focal Point and Guideline → Parabola: Equation determined from the Y-value (Intersection with Y-axis) and the two Roots → Parabola: Equation determined from the Coordinates of the Vertex and the two Roots → Parabola: Equation determined from three Points → Section of Parabola and non-vertical Line → Intersection of two Parablolas → Sine, Cosine, Tangent: Period, Frequency, Phase ..
→ Resultant of two non-parallel Forces → Work, strength, and speed of a constant Force in the direction of Movement → Work, power and speed of a constant Force not in the direction of Movement → Moment of a Force, Momentum → Weight at Sea Level → The Archimedes Force in a Liquid → The Archimedes Force in a Gas → The Archimedes Buoyancy in floating Bodies → The General Attraction Law (Newton) → The Spring Law (Hooke) → The Inclined Plane → The Lever → The Hoist
→ Uniform Unaccelerated Motion → Uniformly Accelerated Motion → Uniformly Accelerated Movement (2) → Uniformly accelerated motion, inclined force to movement → Vertical Drop → Horizontal Throw → Oblique Throw → Uniform Circular Motion → Moment of Inertia and Angular Momentum → Simple Pendulum → Simple Spring Pendulum
→ The Pressure → The Hydrostatic Pressure
→ The Progressive Transverse Wave → The Stationary Wave → DifFraction of a Wave through a Slot
→ Propagation of Light in a Refractive Medium: Refractive Index, Velocity, Wavelength → Refraction (Law of Descartes) → Diffraction by a Grating → Refraction through a Prism → Convergent Lens → Divergent Lens
→ Acoustic Frequency emitted by a Vibrating String → Sound generated by an Open Pipe → Sound frequency generated by a Closed Pipe → Doppler Effect in the Air (Galilean Reference System)
→ Electron, Charge, Current and Current Density → Coulomb's Law → Resistance → Ohm's Law: Resistance, Intensity, Voltage (Potential Difference),Power → Two Resistors in series → Two Resistors in parallel → The Electric Field → The Flat Capacitor: Characteristics → Charging a Flat Capacitor across a Resistance circuit → Unloading a Flat Capacitor in a Resistance circuit → Two Capacitors connected in Series → Two Capacitors connected in Parallel → Empty Potentiometer → Potentiometer with User Circuit
→ Magnetic Field Strength H generated by a straight line Current → Magnetic Field Strength H generated by a Coil Current → Magnetic Field Strength H in a Solenoid → Relationship between Magnetic Flux Density and Magnetic Field Strength → Inductance of a Magnet → Two Magnetic Induction Coils connected in Series → Two Solenoids connected in Parallel → Force affecting a Charge moving in a Magnetic Field (Lorenz) → Force acting on a linear conductor moved in a Magnetic field (Lorenz) → Reciprocal Force between two Linear Conductors
→ The Nucleus: Mass and Binding Energy of its Particles → The Law of Radioactive Decay → Radioactivity of the Nuclei → Radiation Doses
→ Propagation of Light in Empty Space: Waves and Photons → The Photoelectric Effect → The Atom of Bohr → Particles and Waves according to de Broglie → Resonance of the electron wave on the Bohr Orbit of hydrogen according Schrödinger
→ Heat, Temperature and Heat Capacities → Heat exchange, Thermal Balance → Heat produced in Calorimeter, Heat output (thermal), Water Equivalent → Determination of Heat Capacity and the Water Equivalent of a Calorimeter → Linear Dilation of a Solid → Dilatation of a Solid Surface → Dilatation of a Solid Volume → Change of the Density of a Solid with the TTemperature → Dilatation of a Liquid → Change of the Density of a Liquid with the Temperature → Thermal Conductivity → Thermal Radiation Strength
→ Number of Moles of a Substance → Number of Moles and molecules of a Substance → Number of Moles of a gas
→ Law of Ideal Gases: n, P, V, and T → Law of ideal gases: m, M, ρ n, P, V, and T → Gas Laws according to Van der Waals: n, P, V, and T
→ Molarity of a Solution (one Solute) → Mass Concentration of a Solution (one Solute) → Molality of a Solution (one Solute) → Mole Fractions in a mixture of two substances → All Concentrations of a Solution (one Solute) → Ebullioscopy: Boiling Temperature Increase of a Solution (Molarity, non-dissociated Solute) → Ebullioscopy: Boiling Temperature Increase of a Solution (Molarity, dissociated Solute, Van'tHoff Factor) → Cryoscopy: Lowering of the Melting Temperature of a Solution (Molarity, non-dissociated Solute) → Cryoscopy: Lowering of the melting Temperature of a Solution (Molarity, dissociated Solute, Van'tHoff factor) → Osmotic Pressure of the Dilute Aqueous Solution (Molarity, dissociated or non-dissociated Solute) → Capillarity
→ Reaction Speed :( Definition) → Reaction of Order 0 (One Reagent A, v = k) → Reaction of Order 1 (One Reagent A, v = kc A ) → Reaction of Order 2 (One Reagent A, v = kc A 2 ) → Reaction of Order 2 (Two Reagents A and B, v = kc A c B ) → Reaction Constant as a Function of Temperature
→ A ⇄ B → A+B ⇄ C (eventually A=B)> (Note: in the case of 2A → C, thus A + A → C, it is necessary to double the Molarity of a A found in Equilibrium!) → A ⇄ B+C (eventually C=B) → A + B ⇄ C+D (eventually C=D or A=B) → A + B + C ⇄ D (eventually A=B=C or A=B) → D ⇄ A + B + C(eventually A=B=C or A=B) → A + B + C ⇄ D + E (eventually A=B=C or A=B or D = E) → D + E ⇄ A + B + C (eventually A=B=C or A=B or D = E) → A + B + C ⇄ D + E + F (eventually A=B=C or A=B or D=E=F or D=E)
→ Volume work at constant pressure
→ Product of Solubility of Ionic Substances
→ Cryoscopy of the Undissociated Substance → Cryoscopy of Dissociated Substance (Degree of Dissociation, Van't Hoff factor) → Ebullioscopy of Undissociated Substance → Ebullioscopy of Dissociated Substance (Degree of Dissociation, Van't Hoff factor) → Osmotic Pressure of Undissociated Substance → Osmotic Pressure of a Dissociated Substance (Degree of Dissociation, Van't Hoff factor)
→ Definition of pH → Definition of pOH, Relationship to pH → pH Value of a Strong Acid → pH of a Strong Base → pH of a Weak Acid → pH of a Weak Base → Buffer pH → pH Value when a Strong (mono) Acid (HCl, HBr, HI, HNO3) reacts with a Strong (mono)Base(NaOH, KOH) → pH of an Ampholyte which is titrated by a strong (mono) Base(NaOH, KOH) → pH Value in the Titration of a Strong (mono) Base(NaOH, KOH) with a Strong (mono) Acid, HBr, HI, HNO 3 ) → pH Value in the Titration of a Weak (mono) Acid with a Strong (mono) Base(NaOH, KOH) → pH Value in the Titration of a Weak (mono) Basewith a Strong (mono) Acid (HCl, HBr, HI, HNO 3 )
→ Constant Amortization - Declining Annuity → Increasing Amortization - Constant Annuity → Individual Payment, Annual Interest Rate and Interest Rates → Periodic Investment, Periodic Interest and Interest Rates