** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).

** If a team is penalized in the final minute of a half and the penalty causes the clock to stop, the opposing team now has the right to have 10 seconds run off the clock in addition to the yardage penalty.

** Mind Transferral: If Xavier were to die, he could transfer his mind and powers to a host body.

** " If It Works, It's Not AI: A Commercial Look at Artificial Intelligence startups "

** If O takes center ( best move for him ), X should take the corner opposite the original, and proceed as detailed above.

** If O plays a corner or side-middle first, X is guaranteed to win:

** If the tie is between two clubs, then the tie is broken using the head-to-head goal difference ( without away goals rule )

** If the tie is between more than two clubs, then the tie is broken, using the games the clubs have played against each other:

** If the Competition Committee removes a penalty, the points are also removed

** If an error occurs, BGP moves to the Active state.

** If the router was unable to establish a successful TCP session, then it ends up in the Active state.

** If it is unsuccessful again, the FSM is reset to the Idle state.

** If there is an error it is because one of the fields in the Open message doesn ’ t match between the peers, e. g. BGP version mismatch, MD5 password mismatch, the peering router expects a different My AS.

** If there is no error, a Keepalive message is sent, various timers are set and the state is changed to OpenConfirm.

** If a Keepalive message is received and no timer has expired before reception of the Keepalive, BGP transitions to the Established state.

** If a timer expires before a Keepalive message is received, or if an error condition occurs, the router transitions back to the Idle state.

** If there is any error in the Update message then a Notification message is sent to the peer, and BGP transitions back to the Idle state.

** If a timer expires before a Keepalive message is received, or if an error condition occurs, the router transitions back to the Idle state.

** If A < sup > p </ sup > B and B < sup > p </ sup > C then A < sup > p </ sup > C.

** If A is preferred to B and C is infinitesimally close to B then A is preferred to C.

** April 20 – Cicero, in Rome, writes to Varro " If our voices are no longer heard in the Senate and in the Forum, let us follow the example of the ancient sages and serve our country through our writings, concentrating on questions of ethics and constitutional law.

** If the maximum DNL error is less than 1 LSB, then the converter is guaranteed to be monotonic.

** Most forms of cognitivism hold that some such propositions are true, as opposed to error theory, which asserts that all are erroneous.

** In analytical investment management, the tracking error of an investment manager

** Parity bit in computing, sets the parity of transmitted data for the purpose of error detection

** Syllabus errorum: Pope Pius IX condemns theological liberalism as an error and claims for the supremacy of Roman Catholic Church authority over the civil society.

** SDLC included much more powerful error detection and correction codes than earlier protocols.

** It enabled terminals and 3705 communications processors to send " frames " of data one after the other without waiting for an acknowledgement of the previous frame-the communications cards had sufficient memory and processing capacity to " remember " the last 7 frames sent or received, request re-transmission of only those frames which contained errors that the error detection and correction codes could not repair, and slot the re-transmitted frames into the right place in the sequence before forwarding them to the next stage.

** July 28: Engineers found that the guidance program to be fed into the Cape computer contained an error.

** Error control ( automatic repeat request, ARQ ), in addition to ARQ provided by some transport-layer protocols, to forward error correction ( FEC ) techniques provided on the physical layer, and to error-detection and packet canceling provided at all layers, including the network layer.

** ECC memory, error correcting code RAM

** Peter Shor and Andrew Steane simultaneously proposed the first schemes for quantum error correction.

** Data partitioning ( DP ), a feature providing the ability to separate more important and less important syntax elements into different packets of data, enabling the application of unequal error protection ( UEP ) and other types of improvement of error / loss robustness.

** Redundant slices ( RS ), an error / loss robustness feature allowing an encoder to send an extra representation of a picture region ( typically at lower fidelity ) that can be used if the primary representation is corrupted or lost.

** B3: Inborn error of metabolism

** Disc One-Fundamentals ( originally JumpStart Advanced Preschool-JumpStart 3D Virtual World: My First Adventure in the error packages )

** Disc One-Fundamentals ( originally JumpStart Advanced Kindergarten-JumpStart 3D Virtual World: The Legend of Grizzly McGuffin in the error packages )

** Disc Four – Pet Playground ( Kid Keys in the error packages )

** Spherical aberration, which occurs when light rays strike a lens or mirror near its edge

** Defocus aberration, which occurs when a system is out of focus

** a direct interaction occurs when one object is on a level exactly one higher or one lower than the other ( i. e., on a tree, the two objects have a line between them )

** First 19 US models were made already in spring of 1993, months before when normal model year change occurs in July / August.

** A rare conjunction of 7 celestial bodies ( Sun, Moon, planets Mercury – Saturn ) occurs during the New Moon.

** Malbone Street Wreck: The worst rapid transit accident in world history occurs under the intersection of Malbone Street and Flatbush Avenue, in Brooklyn, New York City, with at least 93 dead.

** Loomis Fargo Bank Robbery: The second largest cash robbery in U. S. history ($ 17. 3 million, mostly in small bills ) occurs at the Charlotte, North Carolina office of Wells Fargo.

** A possible experimental atomic test blast occurs at the Nazis ' Ohrdruf military testing area.

** The last session of the Permanent Court of International Justice occurs.

** The inaugural session of the International Court of Justice ( ICJ ) occurs.

** The North Cape Oil Spill occurs as an engine fire forces the tugboat Scandia ashore on Moonstone Beach in South Kingstown, Rhode Island.

** The Silver Thursday market crash occurs.

** A total solar eclipse occurs in southern part of Europe

** At Fenway Park in Boston, Massachusetts, the first All-Star Game tie in major league baseball history occurs, when the game is stopped in the 9th inning due to rain ( the only tie until 2002 in MLB All-Star Game history ).

** The first known outbreak of Ebola virus occurs in Yambuku, Zaire.

** The Ojhri Camp Disaster occurs in Islamabad and Rawalpindi.

** The Hanapepe Massacre occurs on Kauai, Hawaii.

** A military coup occurs in Upper Volta ( later Burkina Faso ).

** A military coup occurs in Nigeria ; General Yakubu Gowon takes over.

** The Aberfan disaster occurs in South Wales, United Kingdom.

** A solar Eclipse of record totality occurs, seen first in Hawaii then enters Mexico with the path directly crosses Cabo San Lucas and Mexico City seen by 20 million inhabitants, and finally ends in Colombia in South America.

** The Battle of Dong-Yin occurs as a conflict between Taiwan and the People's Republic of China.

** A military coup occurs in Dahomey.

** The Athens Polytechnic uprising occurs against the military regime in Athens, Greece.

** The Soviet manned space mission Soyuz 18a ends in failure during its ascent into orbit when a critical malfunction occurs in the second and third stages of the booster rocket during staging, resulting with the cosmonauts and their Soyuz spacecraft having to be ripped free from the vehicle.