For example, every polygon is topologically self-dual ( it has the same number of vertices as edges, and these are switched by duality ), but will not in general be geometrically self-dual ( up to rigid motion, for instance ) – regular polygons are geometrically self-dual ( all angles are congruent, as are all edges, so under duality these congruences swap ), but irregular polygons may not be geometrically self-dual.

For most rigid airships the gasbags were made of many sheets of goldbeater's skin from the intestines of cows.

For practical purposes, when actual defecation and excreta are spoken of in English, it is either through creative euphemism or with a vague and fairly rigid literalism.

For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = ( 1 / 3 ) mL < sup > 2 </ sup >.

For example, the Miura map fold is a rigid fold that has been used to deploy large solar panel arrays for space satellites.

For high-volume production, a bed of nails tester, a fixture or a rigid needle adapter is used to make contact with copper lands or holes on one or both sides of the board to facilitate testing.

For a rotating rigid body, the following relations useful for describing the motion hold:

For these reasons contemporary planners have attempted to modify the rigid, uniform, classic grid.

For safety, a rigid ladder should be leaned at an angle of about fifteen degrees to the vertical.

For example, an after a category means that the geek's feelings on this category are not very rigid and can change with time, while a dollar sign implies the geek is in the enviable position of being paid for their work in this category.

For rigid air-core coils, inductance is a function of coil geometry and number of turns, and is independent of current.

For instance, if the vector represents position with respect to an observer ( position vector ), then the coordinate system may be obtained from a system of rigid rods, or reference axes, along which the components v < sub > 1 </ sub >, v < sub > 2 </ sub >, and v < sub > 3 </ sub > are measured.

For the analysis of entire systems, this approach can be used in conjunction with statics, giving rise to the method of sections and method of joints for truss analysis, moment distribution method for small rigid frames, and portal frame and cantilever method for large rigid frames.

For instance, a box might be a rigid paperboard box instead of a corrugated box.

For example, assistance dogs must obey their " sit " and " down " commands perfectly at all times, but they do not have to conform to the rigid rules of competitive obedience.

For instance, in quantum mechanics molecules ( consisting of the point masses: electrons and nuclei ) are often seen as rigid bodies ( see classification of molecules as rigid rotors ).

For two points P and Q that are fixed on a rigid body B, where B has an angular velocity in the reference frame N, the velocity of Q in N can be expressed as a function of the velocity of P in N:

For a ( rigid ) rectangular transparent sheet, inversion symmetry corresponds to having on one side an image without rotational symmetry and on the other side an image such that what shines through is the image at the top side, upside down.

For a rigid body rotating with angular velocity about the rotation axis ( a unit vector ), the velocity vector may be written as a vector cross product

For much of Haiti's nearly 200-year history as a republic, a rigid social and economic caste system has been based largely on the lightness of one's skin.

For a brief time he appears to be normal, wondering what " they " did to him, before returning to a rigid state ( revealing that some method of brainwashing may be at work ).

" For example, Luce Irigaray is criticised for asserting that E = mc < sup > 2 </ sup > is a " sexed equation " because " it privileges the speed of light over other speeds that are vitally necessary to us "; and for asserting that fluid mechanics is unfairly neglected because it deals with " feminine " fluids in contrast to " masculine " rigid mechanics.

For a moment she thought of answering with the truth but she knew there were men who shied away from virginity, who demanded some degree of education in body as well as mind.

For prevention or treatment of bacterial scours, feed 0.1 to 5 milligrams per pound of body weight daily.

For cows, feed providing an intake of 0.1 milligram of Aureomycin per pound of body weight daily aids in the reduction of bacterial diarrhea, in the prevention of foot rot, and in the reduction of losses due to respiratory infection ( infectious rhinotracheitis -- shipping fever complex ).

For a time there were two factions on the campus fighting for possession of the student body.

For a split second, Nick relaxed his grip and Poet's slippery body spun completely around before Nick could stop him, holding him now from the rear.

For a number of years, Wesleyan has been drawing varied groups of political and business leaders into these informal discussions with members of the faculty and student body, attempting to explore and clarify aspects of their responsibility for public policy.

For if I knew the secret of letting this power in my body change directly into electricity, I could rent myself out to the electric companies and with just the power in my body I could light all the lights and run all the factories in the entire United States for some days.

For example, if a movement required reaching to touch a target in front of the body, flexion at the shoulder would create a torque at the elbow, while extension of the elbow would create a torque at the wrist.

For example, where a person has committed harmful actions of body, speech and mind based on greed, hatred and delusion, rebirth in a lower realm, i. e. an animal, a ghost or a hell realm, is to be expected.

For the three days that it rests on Earth, righteous souls sit at the head of their body, chanting the Ustavaiti Gathas with joy, while a wicked person sits at the feet of the corpse, wails and recites the Yasna.

For example, limiting the iron availability in the human body restricts bacterial proliferation.

For victims of trauma, advances in microsurgery in the 1970s have made replantations of severed body parts possible.

For example, a body appears to be one thing and yet it is distributed into many parts.

For mammals, the relationship between brain volume and body mass essentially follows a power law with an exponent of about 0. 75.

For example, following the American Revolution in 1776, one of the first legislative acts undertaken by each of the newly independent states was to adopt a " reception statute " that gave legal effect to the existing body of English common law to the extent that American legislation or the Constitution had not explicitly rejected English law.

For example, the Union Cycliste Internationale, the governing body of international cycle sport ( which sanctions races such as the Tour de France ), decided in the late 1990s to create additional rules which prohibit racing bicycles weighing less than 6. 8 kilograms ( 14. 96 pounds ).

One Australian scholar argues, " For Edmund Burke and Australians of a like mind, the essence of conservatism lies not in a body of theory, but in the disposition to maintain those institutions seen as central to the beliefs and practices of society.

For example, frogs in cold climates can survive for extended periods of time with most of their body water in a frozen state, while desert frogs in Australia can become inactive and dehydrate in dry periods, losing up to 75 % of their fluids, yet return to life by rapidly rehydrating in wet periods.

For measurements at experimentally controlled volume, one can use the assumption, stated above, that the pressure of the body of calorimetric material is can be expressed as a function of its volume and temperature.

For measurements at experimentally controlled pressure, it is assumed that the volume of the body of calorimetric material can be expressed as a function of its temperature and pressure.

For measurements at experimentally controlled temperature, it is again assumed that the volume of the body of calorimetric material can be expressed as a function of its temperature and pressure, with the same provisos as mentioned just above.

" For Kant's transcendental idealism, " critique " means examining and establishing the limits of the validity of a faculty, type, or body of knowledge, especially through accounting for the limitations imposed by the fundamental, irreducible concepts in use in that knowledge system.

For example, the Italian and French words for various foods, some family relationships, and body parts are very similar to each other, yet most of those words are completely different in Spanish.