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842 terms · page 23 of 36
Numerical Stability
Mathematical & Computational Physics
Algorithm Stability Property
The property of a numerical algorithm ensuring that errors introduced during computation do not magnify uncontrollably over successive time steps.
Von Neumann Stability Analysis: |G(k, Δt)| ≤ 1
Nutation
Geophysics & Environmental Physics
Arcseconds (17.2″ in longitude, 9.2″ in obliquity)
Small periodic nodding oscillations superimposed upon Earth's long-term rotational axis precession.
Principal Nutation Period T = 18.6 years, Amplitude = 9.2″
Ocean Acidification
Geophysics & Environmental Physics
pH Units (Logarithmic Scale)
The ongoing long-term reduction in the pH of Earth's oceans caused by the absorption of anthropogenic carbon dioxide from the atmosphere.
CO₂ + H₂O ⇌ H₂CO₃ ⇌ H⁺ + HCO₃⁻, H⁺ + CO₃²⁻ ⇌ HCO₃⁻
Ocean Currents
Geophysics & Environmental Physics
Sv (Sverdrups = 10⁶ m³/s) or m/s
Continuous, directed large-scale movements of seawater generated by wind stress, Coriolis force, temperature, salinity differences, and tides.
Geostrophic Ocean Flow: 2 Ω sin φ v_ocean = (1 / ρ) (dP / dx)
Ohm's Law
Electromagnetism & Electronics
V = A · Ω
An empirical relation stating that the electric current flowing through an ohmic conductor is directly proportional to the applied voltage and inversely proportional to resistance.
V = I R, J = σ E
Olbers' Paradox
Astrophysics, Cosmology & Relativity
Cosmological Paradox
The apparent paradox that if the universe were static, infinite, and uniformly populated with stars, the night sky should be uniformly bright as the Sun.
Night sky brightness J = ∫ 4 π I r² dr / (4 π r²) → ∞ (in static infinite universe)
Open Organ Pipes
Waves, Oscillations & Acoustics
Hz
A cylindrical acoustic pipe open at both ends, containing displacement antinodes at both openings.
f_n = n v / (2 L) (n = 1, 2, 3, ...)
Operational Amplifier (Op-Amp)
Electromagnetism & Electronics
V (Volts)
A high-gain DC-coupled electronic voltage amplifier with differential inputs and single-ended output.
V_out = A_OL (V_+ - V_-)
Optical Axis
Optics
N/A
The imaginary central straight line passing through the centers of curvature of all optical elements in a rotationally symmetric system.
N/A
Optical Fiber
Optics
dB/km
A flexible, transparent glass or plastic fiber that transmits light signals across long distances via total internal reflection.
NA = √(n_core² - n_cladding²)
Optical Power
Optics
Diopters (D, m⁻¹)
A measure of a lens or curved mirror's degree of light convergence or divergence, equal to the reciprocal of its focal length.
P = 1 / f (in meters)
Optical Tweezers
Biophysics & Medical Physics
pN (Piconewton Forces ~0.1–100 pN)
A biophysical instrument using a strongly focused laser beam to trap, manipulate, and exert piconewton forces on microscopic dielectric particles or biological molecules.
F_gradient = ½ α ∇(E²), Hooke's Law F = -k_trap x
Orbital Angular Momentum
Quantum & Atomic Physics
J·s (Angular Momentum Units)
The quantized angular momentum of a quantum particle associated with its orbital spatial motion around a central force field.
|L| = √(l (l + 1)) ℏ, L_z = m_l ℏ
Orbital Velocity
Classical Mechanics
m/s
The speed required for a body to maintain a stable circular orbit around a primary gravitational mass at a given radius.
v_orb = √(G M / r)
Order of Magnitude
Foundations of Physics
Dimensionless
An exponential estimate of the size of a quantity, expressed as the power of ten closest to the numerical value.
10^n
Osmosis
Biophysics & Medical Physics
Pa or kPa (Osmotic Pressure)
The net passive diffusion of solvent molecules (water) across a selectively permeable membrane from lower solute concentration toward higher solute concentration.
Π = i C R T (van 't Hoff Equation)
Overtones
Waves, Oscillations & Acoustics
Hz
Any resonant frequency higher than the fundamental frequency in a musical sound.
First Overtone = 2nd Harmonic (for strings)
P-type Semiconductor
Condensed Matter & Materials Physics
cm⁻³ (Hole Concentration)
An extrinsic semiconductor in which trivalent acceptor impurities create an excess concentration of positive holes as majority charge carriers.
p ≈ N_A ≫ n, n p = n_i²
Paleoclimatology
Geophysics & Environmental Physics
Geologic Climate History
The scientific study of Earth's past climate conditions across geologic history using indirect environmental proxy records.
Climate Proxies: Ice Cores, Tree Rings, Coral δ¹⁸O, Speleothems
Paleomagnetism
Geophysics & Environmental Physics
Degrees (° Declination / Inclination)
The study of the historical record and orientation of Earth's magnetic field preserved in iron-bearing minerals in rocks, sediments, or archaeological artifacts.
Remanent Magnetization Vector (Declination & Inclination)
Parallel Axis Theorem
Classical Mechanics
kg·m²
A theorem stating that the moment of inertia about any axis parallel to a centroidal axis equals the centroidal moment of inertia plus mass times squared offset distance.
I = I_cm + M d²
Parallel Circuit
Electromagnetism & Electronics
Ω (Ohms)
An electrical circuit topology in which components are connected across common voltage nodes, offering multiple parallel paths for current.
1 / R_total = (1/R₁) + (1/R₂) + (1/R₃), V_total = V₁ = V₂ = V₃
Parallel Computing
Mathematical & Computational Physics
Speedup Factor S(P)
A computational architecture where large physical calculations are divided into smaller sub-tasks executed simultaneously across multiple processor cores or GPUs.
Amdahl's Law Speedup S(P) = 1 / ((1 - p) + p / P)
Paramagnetism
Electromagnetism & Electronics
Dimensionless (χ_m > 0)
A weak form of magnetism in which materials with unpaired electrons are weakly attracted into an external magnetic field.
χ_m = C / T (Curie's Law)