If it does, it will develop into a red giant as described for mid-sized stars below, but never fuse helium as they do ; otherwise, it will simply contract until electron degeneracy pressure halts its collapse, becoming first a blue dwarf and then a white dwarf.

If a red giant has insufficient mass to generate the core temperatures required to fuse carbon, around 1 billion K, an inert mass of carbon and oxygen will build up at its center.

If the mass of the progenitor is above 8 solar masses but below 10. 5 solar masses, the core temperature suffices to fuse carbon but not neon, in which case an oxygen-neon – magnesium white dwarf may be formed.

If two light nuclei fuse, they will generally form a single nucleus with a slightly smaller mass than the sum of their original masses ( though this is not always the case ).

If done without the tape, loose fibers will burn away before the rest fuse together, leaving a badly frayed end.

If that is the case, the outburst may have been a so-called helium flash, a thermonuclear event where a shell in the star containing helium suddenly ignites and starts to fuse carbon.

If necessary, the three can fuse together to Burning Summer, a mix between a spider and a dragon with a tri-pronged mouth and three eyes matching the colors of the three sisters.

If a single inline fuse is placed in series with the MOVs as a power-off safety feature, it will open and fail the surge protector even if remaining MOVs are intact.

If a surge current is so excessively large as to exceed the MOV parameters and blow the thermal fuse, then a light found on some protectors would indicate unacceptable failure.

If a star is more massive than 0. 25 solar masses, then when it consumes all of the hydrogen in its core available for fusion, the core will begin to contract and hydrogen will begin to fuse to helium in a shell around the helium-rich core, and the portion of the star outside the shell expands and cools.

If the star's mass, when on the main sequence, was below approximately 0. 5 solar masses, it is thought that it will never attain the central temperatures necessary to fuse helium .< sup >, p. 169 .</ sup > It will therefore remain a hydrogen-fusing red giant until it eventually becomes a helium white dwarf .< sup >, § 4. 1, 6. 1 .</ sup > Otherwise, when the core temperature reaches approximately 10 < sup > 8 </ sup > K, helium will begin to fuse to carbon and oxygen in the core by the triple-alpha process .< sup >,§ 5. 9, chapter 6 .</ sup > The energy generated by helium fusion causes the core to expand.

If not very massive, it may be found in the horizontal branch on the Hertzsprung – Russell diagram, or its position in the diagram may move in loops .< sup >, chapter 6 .</ sup > If the star is not heavier than approximately 8 solar masses, it will eventually exhaust the helium at its core and begin to fuse helium in a shell around the core.

If, for example, the strong nuclear force were 2 % stronger than it is ( i. e., if the coupling constant representing its strength were 2 % larger ), while the other constants were left unchanged, diprotons would be stable and hydrogen would fuse into them instead of deuterium and helium.

If the single spore isolates are from different species, the colonies will not fuse together and they will remain separate.

If too high a current flows, the element rises to a higher temperature and either directly melts, or else melts a soldered joint within the fuse, opening the circuit.

For example, a glass tube fuse rated at 32 volts would not reliably interrupt current from a voltage source of 120 or 230 V. If a 32 V fuse attempts to interrupt the 120 or 230 V source, an arc may result.

If a fuse or circuit breaker fails to interrupt the current through a spark in a power circuit, current may continue, forming a very hot electric arc.

If inflow to the reservoir exceeds the gate's capacity, an artificial channel called either an auxiliary or emergency spillway that is blocked by a fuse plug dike will operate.

If the circuit is double cut with positive and negative wires, any wet conductive earth is likely to blow a fuse on the one hand, and short the detecting relay on the other hand, either of which is almost certain to apply the correct warning signal.

If the pilot selects the option time and the primary arming wire is not pulled, the fuse will be a dud.

If connected in series with the circuit it simply prevents reversed current, but if connected in parallel it can shunt the reversed supply, causing a fuse or other current limiting circuit to open.

If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.

If you don't leave this country within 3 days, your life will be taken the same as Powell's was.

If we was both armed, you wouldn't talk so tough ''.

If it were the enemy, tactically his position was correct.

If the turn was too tight, a barrel roll would bring them out.

If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.

If Franklin was an authentic genius, then Alexander Hamilton, with his exceptional precocity, consuming energy, and high ambition, was a political prodigy.

`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.

If an automobile were approaching him, he would know what was required of him, even though he might not be able to act quickly enough.

If living Jews were unavailable for study, the Bible was at hand.

If there was ever a thought in her mind she might devote her life to religion, it was now dispelled.

If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.

If she were not at home, Mama would see to it that a fresh white rose was there.

If, as Reid says, `` nearly all his poetry was produced when he was not taking opium '', there may be some reason to doubt that he was under its influence in the period from 1896 to 1900 when he was writing the poems to Katie King and making plans for another book of verse.

If Robinson was a liar and a slanderer, he was also a very canny gentleman, for nothing that Pike could do would pry so much as a single word out of him.

If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.

If the historian was convinced of his own correctness, then he should not allow his vision to become fogged by disturbing facts.

If their schedules were to synchronize, there was no point in wasting time.

If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.

If Mahzeer was planning to set up the prime minister for Muller he would have to do it in the next few minutes.

If the defendant pleads not guilty, a date is set for a preliminary hearing or a trial.

If they don't then for the algorithm to be effective it must provide a set of rules for extracting a square root.

If we cannot make explicit choices, how do we know that our set exists?

If we try to choose an element from each set, then, because X is infinite, our choice procedure will never come to an end, and consequently, we will never be able to produce a choice function for all of X.

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

* If a set S is in M and S is congruent to T then T is also in M and a ( S )

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

* If M is some set and S denotes the set of all functions from M to M, then the operation of functional composition on S is associative:

* If you want to be happy, set a goal that commands your thoughts, liberates your energy, and inspires your hopes.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).

If the score is tied the set is halved.

If each player wins a set, or both sets end tied, there is a 3-end tiebreaker to determine a winner.

If a node has fewer than two children, some of the child pointers may be set to a special null value, or to a special sentinel node.

Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.

In the words of Geoffrey Crowther, then editor of The Economist, " If the economic relationships between nations are not, by one means or another, brought fairly close to balance, then there is no set of financial arrangements that can rescue the world from the impoverishing results of chaos.

If, for instance, an addition operation was requested, the arithmetic logic unit ( ALU ) will be connected to a set of inputs and a set of outputs.

If the addition operation produces a result too large for the CPU to handle, an arithmetic overflow flag in a flags register may also be set.