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Calculus of Variations

The calculus of variations studies extrema and stationary values of functionals, typically by varying functions, curves, or fields subject to prescribed constraints.

calculus-of-variations
Calibration

Calibration establishes relationships between reference values and instrument indications, including their uncertainties, so that indications can be converted into measurement results.

calibration
Calorimetry

Calorimetry measures heat exchanged during chemical reactions and physical processes, enabling determination of energy changes, heat capacities, and thermal transitions.

calorimetry
Cancer

Cancer is a group of diseases characterized by uncontrolled growth of abnormal cells, invasion of surrounding tissues, and potential spread to distant organs.

cancer
Canonical Ensemble

The canonical ensemble describes equilibrium systems with fixed particle number and volume that exchange energy with a reservoir at a prescribed temperature.

canonical-ensemble
Capacitance

Capacitance quantifies the charge stored per unit electric potential difference, governing electrical energy storage and the behavior of capacitors.

capacitance
Capacitor

A capacitor is a passive electrical component that stores energy through the separation of electric charge, usually across an insulating dielectric.

capacitor
Carbon

Carbon is the chemical element with atomic number 6, whose versatile bonding underlies organic chemistry, life, and many important materials.

carbon
Carbon Cycle

The carbon cycle is the movement and transformation of carbon among Earth’s atmosphere, organisms, oceans, soils, sediments, and rocks.

carbon-cycle
Carl Linnaeus

Swedish naturalist and physician who standardized binomial species names and developed influential systems of biological classification.

carl-linnaeus
Carnot Cycle

The Carnot cycle is an ideal reversible thermodynamic cycle that establishes the maximum efficiency of a heat engine operating between two thermal reservoirs.

carnot-cycle
Cell

The cell is the smallest membrane-bound unit of life. It can metabolize, grow and reproduce, and all living organisms are made of cells.

cell
Cell Cycle

The cell cycle is the regulated sequence of growth, genome duplication, and division through which a cell produces daughter cells.

cell-cycle
Cell Division

Cell division produces daughter cells through coordinated partitioning of genetic material and cellular contents, supporting reproduction, growth, and tissue renewal.

cell-division
Cell Membrane

The cell membrane is a dynamic, selectively permeable boundary that regulates exchange, communication, and interactions between a cell and its surroundings.

cell-membrane
Cell Nucleus

The cell nucleus is a membrane-enclosed compartment that houses most eukaryotic DNA and organizes genetic activity.

cell-nucleus
Cell Wall

A cell wall is a mechanically supportive layer outside the cell membrane, found in plants, fungi, most bacteria, many archaea, and numerous algae.

cell-wall
Cellular Respiration

Cellular respiration converts energy from chemical fuels into ATP through oxidation and membrane-associated electron transport.

cellular-respiration
Cellulose

Cellulose is a glucose-based structural polymer that reinforces plant cell walls and supplies raw material for paper, textiles, and other products.

cellulose
CERN

CERN is an intergovernmental research organization near Geneva that operates particle accelerators and supports international investigations into the fundamental constituents and interactions of matter.

cern
Charles Darwin

Charles Darwin was an English naturalist whose theory of evolution by natural selection transformed the scientific understanding of life’s diversity and shared ancestry.

charles-darwin
Chemical Potential

Chemical potential measures how a system’s thermodynamic energy changes with composition and determines equilibrium in particle exchange, phase coexistence, and chemical reactions.

chemical-potential
Chemiosmosis

Chemiosmosis couples the movement of ions down a membrane-spanning electrochemical gradient to ATP synthesis and other energy-requiring cellular processes.

chemiosmosis
Chemistry

Chemistry is the natural science that studies the composition, structure and properties of substances, how they react and change, and the energy involved.

chemistry
Chemotherapy

Chemotherapy uses anticancer drugs to kill malignant cells or inhibit their growth, with treatment schedules and effects varying by drug and cancer type.

chemotherapy
Chen Ning Yang

Chinese theoretical physicist who shared the 1957 Nobel Prize in Physics and co-developed Yang–Mills gauge theory.

chen-ning-yang
Chien-Shiung Wu

Chien-Shiung Wu was a Chinese American experimental physicist whose work demonstrated parity violation in the weak interaction.

chien-shiung-wu
Chirality

Chirality is the property of an object or molecular arrangement that cannot be superimposed on its mirror image, giving it a distinct handedness.

chirality
Chloroplast

A chloroplast is a photosynthetic organelle in plants and algae that converts light energy into chemical energy and supports carbon assimilation.

chloroplast
Chromatin

Chromatin is the DNA–protein complex that packages eukaryotic chromosomes and regulates access to genetic information.

chromatin
Chromatography

Chromatography separates mixture components through their different distributions or interactions between a stationary phase and a moving phase.

chromatography
Chromosomal Crossover

Chromosomal crossover is the reciprocal exchange of DNA between homologous chromosomes, generating new allele combinations and supporting accurate chromosome segregation during meiosis.

chromosomal-crossover
Chromosome

A chromosome is an organized DNA-containing structure that carries genetic information and enables its transmission during cell division and reproduction.

chromosome
Classical Mechanics

Classical mechanics describes motion, equilibrium, and mechanical interactions using Newtonian laws and analytical formulations, within limits set by quantum and relativistic effects.

classical-mechanics
Click Chemistry

Click chemistry is a modular approach to molecular construction that uses reliable, selective reactions to join building blocks efficiently.

click-chemistry
Climate Change

Climate change is a persistent alteration of climate patterns, including modern warming driven primarily by human greenhouse gas emissions.

climate-change
CMS Experiment

CMS is a general-purpose experiment at CERN’s Large Hadron Collider that studies fundamental particles and interactions.

cms-experiment
Coal

Coal is a carbon-rich combustible rock formed from ancient plant material and used as a fuel and industrial raw material.

coal
Codon

A codon is a three-nucleotide sequence that specifies an amino acid or a termination signal during protein synthesis.

codon
Cognitive Science

The interdisciplinary study of mind and intelligence through behavioral experiments, computational models, philosophical analysis, and investigations of the brain.

cognitive-science
Color Charge

Color charge is the quantum property of quarks and gluons that determines their participation in the strong interaction.

color-charge
Color Confinement

Color confinement is the absence of isolated quarks and gluons as observable particles, a defining long-distance property of quantum chromodynamics.

color-confinement
Combustion

Combustion is an exothermic chemical process in which a fuel reacts with an oxidizer, releasing heat and often producing a flame.

combustion
Compton Scattering

Compton scattering is the interaction of a photon with an electron that changes the photon’s direction and energy through electron recoil.

compton-scattering
Condensed Matter Physics

Condensed matter physics studies how interacting constituents produce the collective properties of solids, liquids, and related systems.

condensed-matter-physics
Conservation Biology

Conservation biology studies biodiversity loss and develops scientific approaches to protecting species, populations, ecosystems, and evolutionary processes.

conservation-biology
Conservation of Mass

Conservation of mass states that a closed system’s mass remains constant in classical physics and ordinary chemistry, with relativistic qualifications arising from mass–energy equivalence.

conservation-of-mass
Conservative Force

A conservative force does work that depends only on the initial and final positions, allowing its effects to be described by potential energy.

conservative-force
Control Theory

Control theory studies how inputs and feedback can shape the behavior of dynamic systems while meeting stability, performance, and constraint requirements.

control-theory
Cooper Pair

A Cooper pair is a correlated pair of fermions whose collective quantum behavior underlies conventional superconductivity and several forms of superfluidity.

cooper-pair
Coordination Chemistry

The study of metal–ligand complexes, their bonding, structures, reactions, and roles in biological systems and functional materials.

coordination-chemistry
Coordination Polymer

A coordination polymer is an extended compound whose repeating units are connected through coordination bonds in one, two, or three dimensions.

coordination-polymer
Correlation Length

Correlation length is the characteristic spatial scale over which fluctuations in a system remain correlated.

correlation-length
Cosmic Microwave Background

The cosmic microwave background is relic radiation from the early universe, whose spectrum and spatial variations reveal its thermal history, composition, and structure.

cosmic-microwave-background
Cosmological Constant

A constant term in Einstein’s gravitational equations, equivalent to uniform vacuum energy, whose positive value can drive accelerated cosmic expansion.

cosmological-constant
Cosmology

Cosmology studies the universe as a whole, including its origin, composition, large-scale structure, evolution, and possible future.

cosmology
Coulomb

The coulomb is the SI unit of electric charge, equal to the charge transferred by a current of one ampere in one second.

coulomb
Coulomb’s Law

Coulomb’s law describes the electrostatic force between point charges as proportional to their charge product and inversely proportional to their squared separation.

coulombs-law
CRISPR

CRISPR is a microbial genetic defense system whose RNA-guided machinery has been adapted for genome editing, gene regulation, and molecular detection.

crispr
Critical Exponent

A critical exponent describes the power-law behavior of a physical quantity near a continuous phase transition.

critical-exponent