If the moral code were flouted, the proper balance of the universe would be upset, and the disastrous result could be floods, plague, or famine.

If the automorphisms of an object X form a set ( instead of a proper class ), then they form a group under composition of morphisms.

If so, according to, this incident resulted that the Bi officials inadvertently revolted against their own lord through Confucius ' doing, thus forcing Viscount Ji Huan's hand in having to dismantle the walls of Bi ( as it could have harbored such rebels ) or confess to instigating the event by going against proper conduct and righteousness as an official.

If not " true " crannogs, small occupied islets ( often at least partially artificial in nature ) may be referred to as island duns, although rather confusingly, 22 islet-based sites are classified as ' proper ' crannogs due to the different interpretations of the inspectors or excavators who drew up field reports Canmore search for crannog in the Western Isles Hebridean island dwellings or crannogs were commonly built on both natural and artificial islets, usually reached by means of a stone causeway.

Frege, however, did not conceive of objects as forming parts of senses: If a proper name denotes a non-existent object, it does not have a reference, hence concepts with no objects have no truth value in arguments.

If anyone shall dare act contrary to this and, recognizing his crime, does not within the space of thirty days make proper amends, let him be cut off from the Church and anathematized.

If G = GL < sub >*</ sub >( K ), then the set of natural numbers is a proper subset of G < sub > 0 </ sub >, since for each natural number n, there is a corresponding identity matrix of dimension n. G ( m, n ) is empty unless m = n, in which case it is the set of all nxn invertible matrices.

If time is the responsible factor, it may be possible to delay cell division in clones, giving time for proper reprogramming to occur.

If he succeeded and built the Holy Temple in its proper place and gathered the dispersed ones of Israel together, this is indeed the anointed one for certain, and he will mend the entire world to worship the Lord together, as it is stated: " For then I shall turn for the nations a clear tongue, so that they will all procalim the Name of the Lord, and to worship Him with a united resolve ( Zephaniah 3: 9 ).

If the spacecraft started to reenter nose first ( another stable reentry attitude for the spacecraft ), airflow over the spoiler would flip the spacecraft around to the proper, heatshield-first reentry attitude, a technique called shuttlecocking.

If the latter scaling is used, an interval of proper time,, defined by

" If anyone says that the blessed Apostle Peter was not established by the Lord Christ as the chief of all the apostles, and the visible head of the whole militant Church, or, that the same received great honour but did not receive from the same our Lord Jesus Christ directly and immediately the primacy in true and proper jurisdiction: let him be anathema.

If the brackets are omitted, the proper number of implicit hydrogen atoms is assumed ; for instance the SMILES for water is simply O.

If the lubrication is lost, the moving parts may grind against each other and destroy the fine mechanical tolerances required for the proper acoustic performance of the stethoscope.

If the system is set to detect this vulnerability, it will recognize that it is under attack and can respond, either by locking the system down until proper administrators have a chance to react, by monitoring the attack and tracing the assailant, or by disconnecting the attacker.

If I is a right ideal of R, then I is simple as a right module if and only if I is a minimal non-zero right ideal: If M is a non-zero proper submodule of I, then it is also a right ideal, so I is not minimal.

If I is a right ideal of R, then R / I is simple if and only if I is a maximal right ideal: If M is a non-zero proper submodule of R / I, then the preimage of M under the quotient map is a right ideal which is not equal to R and which properly contains I.

If M is a module which has a non-zero proper submodule N, then there is a short exact sequence

If N has a non-zero proper submodule, then this process can be repeated.

If the occlusal surfaces of the teeth or the supporting structures have been altered due to inappropriate dental treatment, periodontal disease, or trauma, the proper occlusion may need to be restored.

If the syllable is not the first in a word, its first letter is not capitalized, even if it is a proper noun.

If C is a locally small category ( i. e. the hom-sets are actual sets and not proper classes ), then each object A of C gives rise to a natural functor to Set called a hom-functor.

If certain coordinate systems are used, for instance, polar-toroidal coordinates ( common in plasma physics ) using the notation ∇ × F will yield an incorrect result.

If a ray tracing is then made as if a light wave ( as understood in classical physics ) is wide enough to take both paths, then that ray tracing will accurately predict the appearance of maxima and minima on the detector screen when many particles pass through the apparatus and gradually " paint " the expected interference pattern.

The well-known historian of physics, C. P. Snow, says about him, " If Fermi had been born a few years earlier, one could well imagine him discovering Rutherford's atomic nucleus, and then developing Bohr's theory of the hydrogen atom.

If the laws of physics agree more accurately with observations in a model with rotation than without it, we are inclined to select the best-fit value for rotation, subject to all other pertinent experimental observations.

In his book, The God Particle: If the Universe Is the Answer, What Is the Question ?, Lederman writes that, although he was a chemistry major, he became fascinated with physics, because of the clarity of the logic and the unambiguous results from experimentation.

If the number of universes is unlimited, then the power of a certain God-like entity is also unlimited, since the laws of physics may be different in other universes, and accordingly making this entity omnipotent.

If on the other hand, we define the notion of what is physical based some future idealized physics, we have not effectively defined anything at all because nobody knows what entities a future physical theory might postulate.

If one is inclined from the outset to ignore or discount the possibility of new physics, then one will regard self-consistency as a trivial principle.

If the magnitude of v < sub > 3 </ sub > were to describe a measurable physical quantity, that would mean that the laws of physics would not appear the same if the universe was viewed in a mirror.

: People say to me, “ Are you looking for the ultimate laws of physics ?” No, I ’ m not … If it turns out there is a simple ultimate law which explains everything, so be it — that would be very nice to discover.

If H is Hermitian ( the name for self-adjoint in the physics literature ) and f is a Borel function,

Describing this situation after many decades, Ambartsumian said, " If an astronomer publishes an article with a mathematical content in a physics journal, then the most likely thing that will happen to it is oblivion.

If the Large Hadron Collider and other major particle physics experiments fail to detect supersymmetric partners or evidence of extra dimensions, many versions of string theory which had predicted certain low mass superpartners to existing particles may need to be significantly revised.

If we want to ignore the physics inside the conductor and only describe the physics in the outside region, it becomes natural to mathematically describe the quantum electron by a section in a complex line bundle with an " external " connection rather than an external EM field ( by incorporating local gauge transformations we have already acknowledged that quantum mechanics defines the notion of a ( locally ) flat wavefunction ( zero momentum density ) but not that of unit wavefunction ).

If physics on scales we can measure is independent of what happens at the very shortest distance and time scales, then it should be possible to get cutoff-independent results for calculations.

If QFT holds all the way down past the Planck length ( where it might yield to string theory, causal set theory or something different ), then there may be no real problem with short-distance divergences in particle physics either ; all field theories could simply be effective field theories.

If the cutoff is a real, physical quantity — if, that is, the theory is only an effective description of physics up to some maximum energy or minimum distance scale — then these extra terms could represent real physical interactions.

If one inserts a more realistic barrier model into the simplest form of the Schrödinger equation, then an awkward mathematical problem arises over the resulting differential equation: it is known to be mathematically impossible in principle to solve this equation exactly in terms of the usual functions of mathematical physics, or in any simple way.

If the statements of the laws of phyiscs were assumed correct, one would have had to suppose ( as did most philosophers ) that the feeling of freedom is illusory, or if choice were considered effective, that the laws of physics ...

... " If there is a ... ' Father of Neutron Scattering ' in the United States, it is Professor Shull ," wrote Anthony Nunes ..., professor of physics at the University of Rhode Island.

Describing this situation after many decades, Hambardzumyan said, " If an astronomer publishes an article with a mathematical content in a physics journal, then the most likely thing that will happen to it is oblivion.

If, on the other side, " econophysics " is taken to denote the application of physics to

If a second match with experiment or theory ( for example, the value of Newton's force at long distance ) were found requiring a different value of the Immirzi parameter, it would constitute evidence that loop quantum gravity cannot reproduce the physics of general relativity at long distances.