die bibliothek von Babel

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This is my personal learning journal, not peer-reviewed. Corrections welcome. Contact me at wayfarrer [at] pm [dot] me.

Article count: 327 completed, 57 in progress

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[A] [B] [C] [D] [E] [F] [G] [H] [I] [K] [L] [M] [N] [O] [P] [Q] [R] [S] [T] [U] [V] [W] [Y] [Z]

A

• absolute continuity
• activation energy
• addition and subtraction identities (trigonometry)
• alcohol
• alkane
• alkene
• angular and tangential velocity in circular motion
• angular frequency
• antiderivative
• asymptote
• atomic orbitals
• atomic radius
• Aufbau principle
• axiom
• axioms of the real numbers
• Azimuthal quantum number

B

• basis (linear algebra)
• binary operation
• binomial distribution
• binomial theorem
• Biot-Savart law
• Boltzmann constant
• Bolzano-Weierstrass theorem
• bond-dissociation energy
• bond energy
• bond length
• bond order
• Borel set
• bounded function
• boundedness theorem
• Bronsted-Lowry acid-base theory
• bulk stress, strain and modulus

C

• carbocation
• Cartesian product
• center of mass
• center of mass of lamina
• center of mass of solids
• centripetal force
• chain rule (calculus)
• chemical equilibrium
• chemical polarity
• chemical properties of group 17 elements
• chemical properties of group 2 elements
• chemical properties of period 3 elements
• cis-trans isomerism
• coefficient of restitution
• coherence (waves)
• collisions between two particles
• Collision theory
• combinations
• combining uncertainties
• compact space
• Completeness axiom
• composite particles
• conservation of energy
• conservation of momentum
• conservative and non-conservative forces
• continuous function
• continuous random variable
• conventional notations for a wave
• coordination number
• Coulomb’s law
• covalent bond
• covalent radius
• cross product
• crystalline solids
• cubics
• cumulative distribution function

D

• degrees of freedom (physics and chemistry)
• degrees of freedom (statistics)
• density
• derivative
• derivative of natural exponential function
• derivative of natural logarithm function
• derivatives as linear approximations
• derivatives of exponential and logarithmic functions
• derivatives of general exponential and logarithmic functions
• derivatives of inverse trigonometric functions
• derivatives of trigonometric functions
• determinants and volumes
• differentiable function
• differential and derivatives
• differentiation notations
• differentiation rules
• diffraction (waves)
• dipole-dipole interactions
• dipole
• discontinuous function
• discrete random variable
• displacement
• displacement-time graph
• Doppler effect
• dot product
• double-angle identities (trigonometry)
• double-slit experiment

E

• effective nuclear charge
• eigenvalues and eigenvectors
• elastic and inelastic collision
• elastic and plastic deformation
• elastic potential energy
• electric current
• electric field
• electric potential energy
• electric potential
• electromagnetic waves
• electron configuration
• electronegativity
• electron shells
• electron shielding
• electrons
• electron subshells
• electrophile
• electrophilic addition
• elementary matrix
• elementary particle
• elementary row operations
• emission spectrum
• enantiomer
• energy
• energy level
• enthalpy
• equations of lines and planes
• equilibrium constant
• equilibrium of coplanar forces
• equipartition theorem
• Euclidean geometry
• Euclidean space
• extreme value theorem

F

• field (mathematics)
• field (physics)
• first fundamental theorem of calculus
• first law of thermodynamics
• first principle of mathematical induction
• force
• free-radical addition
• free radical
• free-radical substitution
• fundamental theorem of calculus

G

• Gaussian elimination
• Gauss’s law
• geometric distribution
• gradient theorem
• gravitational field
• gravitational potential energy
• gravitational potential

H

• Heisenberg uncertainty principle
• Hess’s law
• heterolysis
• homologous series
• homolysis
• Hooke’s law
• Hund’s rules
• Huygens-Fresnel principle
• hydrogenation
• hydrogen bond

I

• ideal gas law
• identity element
• identity matrix
• implicit differentiation
• improper integral
• infimum and supremum
• integral
• integral of inverse functions
• integral of power
• integration by parts
• integration by substitution
• interior extremum theorem
• intermediate value theorem
• intermolecular force
• internal energy
• invariant lines/points under linear transformation
• inverse function rule
• inverse-square law
• inverse trigonometry functions
• ion-dipole interactions
• ionic bond
• ionic radius
• ionisation energy

K

• kinetic energy
• kinetic theory of gases

L

• Laplace expansion
• law of cosines
• law of the unconscious statistician
• Le Chatelier’s principle
• Leibniz product rule
• l’Hôpital’s rule
• limit (at infinity)
• limit
• limit (infinite limit)
• limit (multiple dimensions)
• limit (right and left-handed)
• limit (sequence)
• linear combination
• linear equation
• linear independence
• linearity
• linearity of differentiation
• linear span
• linear subspace
• linear transformations
• logarithm
• London dispersion forces
• longitudinal wave
• Lorentz force

M

• magnetic field
• magnetic force
• Magnetic quantum number
• Malus’s law
• Markovnikov’s rule
• mass number
• mathematical description of a wave
• matrix determinant
• matrix inverse
• matrix (mathematics)
• matrix multiplication
• Maxwell-Boltzmann distribution
• Maxwell’s equations
• mean value theorem
• measurable function
• measurable space
• measure (mathematics)
• measure space
• mechanical energy
• mechanical waves
• metallic bonding
• metallic radius
• metric prefix
• minor (matrix)
• modulus of elasticity
• molecular dipole
• molecular shape diagram
• molecular structure
• momentum
• monotone convergence theorem
• monotonic function
• motion
• motion on an inclined plane
• motion with constant acceleration

N

• Newton’s law of universal gravitation
• Newton’s laws of motion
• nitrogen and sulfur
• normal distribution
• normal force
• nucleophile
• nucleophilic addition
• nucleophilic substitution

O

• octet rule
• Ohm’s law
• one-sample t-test
• orbital hybridisation
• orbital penetration
• organic compounds (classes)
• organic compounds
• organic compounds (naming)

P

• parametric equation
• partial fraction decomposition
• partial pressure
• partition of an interval
• partition of a set
• Pauli’s Exclusion principle
• Peano axioms
• permutations
• photons
• physical properties of group 17 elements
• physical properties of group 2 elements
• physical properties of period 3 elements
• pi bond
• Planck relation
• point particles
• polar coordinates
• polarization (waves)
• polynomials
• position and displacement vector
• potential difference
• potential energy
• potential
• potentials and fields
• power
• power rule
• pressure
• Principle quantum number
• probability density function
• probability distribution
• probability mass function
• probability space
• projectile motion
• projection (linear algebra)
• proofs of riemann integral properties
• proofs of various limit properties
• properties of a wave
• propogation (waves)

Q

• quadratics
• quantum numbers
• quarks
• quartics
• quotient rule

R

• random variable
• rank (linear algebra)
• rank (matrix)
• rate law
• rate of reaction
• reciprocal rule
• redox reactions
• reference angle (trigonometry)
• reflection (waves)
• refraction (waves)
• relative velocity
• resonance (chemistry)
• resonance (physics)
• reversible reaction
• Riemann hypothesis
• Riemann integrable
• Riemann integral
• Riemann sums
• Rolle’s theorem
• row and column spaces
• row and column vectors
• row echelon form
• row equivalence
• rule of Sarrus

S

• scalar quantity
• second fundamental theorem of calculus
• second law of thermodynamics
• second principle of mathematical induction
• sequence
• shear stress, strain and modulus
• sigma-algebra
• sigma bond
• single-slit diffraction
• SN1 reaction
• SN2 reaction
• sp2 hybridisation
• sp3 hybridisation
• speed
• sp hybridisation
• Spin Magnetic quantum number
• spxdy hybridisation
• Squeeze theorem
• stable electron arrangement
• standing wave
• state function
• statistical hypothesis test
• steric hindrance
• stress and strain
• structural isomerism
• summation
• superposition principle

T

• tangential and radial acceleration in circular motion
• Taylor series
• t-distribution
• techniques of integration
• Temporary
• tensile and compressive stress, strain and Young’s modulus
• tension force
• thermodynamics
• thermodynamic system
• third law of thermodynamics
• titration curves
• topological space
• torque
• transformation matrix
• transpose (matrix)
• transverse wave
• travelling wave
• trigonometric identities
• two-dimensional vertical circular motion

U

• uniform circular motion
• uniform continuity

V

• valence bond theory
• van der Waals force
• vector field
• vector (mathematics)
• vector quantity
• vector space
• velocity
• VSEPR theory

W

• wavefunction
• wave interference
• waves
• well-ordering principle
• work-energy theorem
• work

Y

• Young’s modulus

Z

• zeroth law of thermodynamics