Potential in the context of "Wilhelm von Humboldt"

Abilities are powers an agent has to perform various actions. They include common abilities, like walking, and rare abilities, like performing a double backflip. Abilities are intelligent powers: they are guided by the person's intention and executing them successfully results in an action, which is not true for all types of powers. They are closely related to but not identical with various other concepts, such as disposition, know-how, aptitude, talent, potential, and skill.

Theories of ability aim to articulate the nature of abilities. Traditionally, the conditional analysis has been the most popular approach. According to it, having an ability means one would perform the action in question if one tried to do so. On this view, Michael Phelps has the ability to swim 200 meters in under 2 minutes because he would do so if he tried to. This approach has been criticized in various ways. Some counterexamples involve cases in which the agent is physically able to do something but unable to try, due to a strong aversion. In order to avoid these and other counterexamples, various alternative approaches have been suggested. Modal theories of ability, for example, focus on what is possible for the agent to do. Other suggestions include defining abilities in terms of dispositions and potentials.

An aptitude is a component of a competence to do a certain kind of work at a certain level. Outstanding aptitude can be considered "talent", or "skill". Aptitude is inborn potential to perform certain kinds of activities, whether physical or mental, and whether developed or undeveloped. Aptitude is often contrasted with skills and abilities, which are developed through learning. The mass term ability refers to components of competence acquired through a combination of both aptitude and skills.

According to Gladwell (2008) and Colvin (2008), it is often difficult to set apart the influence of talent from the influence of hard training in the case of outstanding performances. Howe, Davidson, and Sloboda argue that talents are acquired rather than innate. Talented individuals generally show high levels of competence immediately in only a narrow range of activities, often comprising only a single direction or genre.

Security is protection from, or resilience against, potential harm (or other unwanted coercion). Beneficiaries (technically referents) of security may be persons and social groups, objects and institutions, ecosystems, or any other entity or phenomenon vulnerable to unwanted change.

Security mostly refers to protection from hostile forces, but it has a wide range of other senses: for example, as the absence of harm (e.g., freedom from want); as the presence of an essential good (e.g., food security); as resilience against potential damage or harm (e.g. secure foundations); as secrecy (e.g., a secure telephone line); as containment (e.g., a secure room or cell); and as a state of mind (e.g., emotional security).

In mathematical physics, scalar potential describes the situation where the difference in the potential energies of an object in two different positions depends only on the positions, not upon the path taken by the object in traveling from one position to the other. It is a scalar field in three-space: a directionless value (scalar) that depends only on its location. A familiar example is potential energy due to gravity.

A scalar potential is a fundamental concept in vector analysis and physics (the adjective scalar is frequently omitted if there is no danger of confusion with vector potential). The scalar potential is an example of a scalar field. Given a vector field F, the scalar potential P is defined such that:

The effective potential (also known as effective potential energy) combines multiple, perhaps opposing, effects into a single potential. In its basic form, it is the sum of the "opposing" centrifugal potential energy with the potential energy of a dynamical system. It may be used to determine the orbits of planets (both Newtonian and relativistic) and to perform semi-classical atomic calculations, and often allows problems to be reduced to fewer dimensions.