When he showed this model as his `` solution '' as to how the Howe sewing machine operated, he was told he was `` wrong '', and discovered to his amazement that the Howe Machine, which was unknown to him in detail, used two threads while the one that he had perfected used only one.

When Governor Al Smith offered New York National Guard planes to fly the mail in and out of the state, it seemed a likely temporary solution, easing Burlington's bottleneck and that at Montpelier too.

When the solution finally came to him, one night while he was in bed, he was so shaken by its simplicity that he could only wonder why it had not occurred to him before.

When this happens, the carbon atoms are said to be in solution, or mixed with the iron, forming a single, homogeneous, crystalline phase called austenite.

When this happens the carbon atoms will no longer be soluble with the iron, and will be forced to precipitate out of solution, nucleating into the spaces between the crystals.

When rapidly cooled, a diffusionless ( martensite ) transformation occurs, in which the carbon atoms become trapped in solution.

When heated to form a solution and then cooled quickly, these alloys become much softer than normal, during the diffusionless transformation, and then harden as they age.

When the effects of compressibility on the solution are small, the aerodynamicist may choose to assume that density is constant.

When the pH of this solution rises, as a result of dilution by fresh water, these ions precipitate, forming " Yellow Boy " pollution.

When the partial pressure of is reduced, for example when a can of soda is opened, the equilibrium for each of the forms of carbonate ( carbonate, bicarbonate, carbon dioxide, and carbonic acid ) shifts until the concentration of in the solution is equal to the solubility of CO < sub > 2 </ sub > at that temperature and pressure.

When the condition number is exactly one, then the algorithm may find an approximation of the solution with an arbitrary precision.

When metal ions are reduced from ionic solution, they form a pure metal surface on the cathode.

When Newton's method is used to find the solution for the maximum likelihood estimate, the middle 24 % order statistics can be used as an initial solution for x < sub > 0 </ sub >.

When used in the extemporaneous preparation of topical medications, it is supplied in the form of Coal Tar Topical Solution USP, which consists of a 20 % w / v solution of coal tar in alcohol, with an additional 5 % w / v of polysorbate 80 ; this must then be diluted in an ointment base such as petrolatum.

Though attractive in many cases, a general-purpose DBMS is not always the optimal solution: When certain applications are pervasive with many operating instances, each with many users, a general-purpose DBMS may introduce unnecessary overhead and too large " footprint " ( too large amount of unnecessary, unutilized software code ).

When faced with a new circuit, the software first tries to find a steady state solution, that is, one where all nodes conform to Kirchhoff's Current Law and the voltages across and through each element of the circuit conform to the voltage / current equations governing that element.

When present together in solid solution, energy is transferred from the higher-energy tungsten to the lower-energy molybdenum, such that fairly low levels of molybdenum are sufficient to cause a yellow emission for scheelite, instead of blue.

When the brown solution of iodine in strong donor solvents were heated, a color transition from brown to violet is observed as the weakly-bonded charge-transfer complex dissociates into to free solvent and iodine molecules.

When Charles tried to find a compromise solution with the Augsburg Interim, Bucer and Bullinger urged Calvin to respond.

Ribbentrop quickly learned that Hitler always favoured the most radical solution to any problem, and accordingly tended his advice in that direction as a Ribbentrop aide recalled: When Hitler said ' Grey ', Ribbentrop said ' Black, black, black '.

When dissolving a lipophilic or amphiphilic substance in a polar environment, the polar molecules ( i. e., water in an aqueous solution ) become more ordered around the dissolved lipophilic substance, since the polar molecules cannot form hydrogen bonds to the lipophilic areas of the amphiphile.

When this is the case, and x < sub > 0 </ sub > is one solution of ( 1 ), then the set of all solutions is given by

When the solution comes into contact with air the chemical reaction that created it is reversed and particles of calcium carbonate are deposited.

When calcium is leached from the needles of red spruce, these trees become less cold tolerant and exhibit winter injury and even death.

When used in larger quantity, spices can also contribute a substantial amount of minerals, including iron, magnesium, calcium, and many others, to the diet.

When this solution drops down it leaves behind particles of calcium carbonate and over time these form into a stalactite.

When the cement paste exposed to the air and meteoric water reacts with the atmospheric CO < sub > 2 </ sub >, portlandite and the Calcium Silicate Hydrate ( CSH ) of the hardened cement paste become progressively carbonated and the high pH gradually decreases from 13. 5 – 12. 5 to 8. 5, the pH of water in equilibrium with calcite ( calcium carbonate ) and the steel is no longer passivated.

When healthy, the kidneys maintain the body's internal equilibrium of water and minerals ( sodium, potassium, chloride, calcium, phosphorus, magnesium, sulfate ).

When cryolite is used for the preparation of alum, it is mixed with calcium carbonate and heated.

When the oceans contain a relatively high proportion of magnesium compared to calcium, aragonite is more stable, but as the magnesium concentration drops, it becomes less stable, hence harder to incorporate into an exoskeleton, as it will tend to dissolve.

When the muscle no longer needs to contract, the calcium ions are pumped from the sarcomere and back into storage in the sarcoplasmic reticulum.

When excess calcium hydroxide is added to limewater, a suspension of calcium hydroxide particles remains, giving it a milky aspect, in which case it has the common name of milk of lime.

When mutant T369S channels coassemble with CNGB3, however, the only remaining aberration is increased calcium permeability.

When the trigger hairs are stimulated, an action potential ( mostly involving calcium ions — see calcium in biology ) is generated, which propagates across the lobes and stimulates cells in the lobes and in the midrib between them.

When an irritating object becomes trapped within an oyster's shell, it deposits layers of calcium carbonate ( CaCO < sub > 3 </ sub >), slowly increasing in size and producing a pearl.

When Acetobacter colonies form enough acetic acid from the ethanol, the calcium carbonate around the colonies dissolves, forming a very distinct clear zone.

When dissolved, these minerals yield calcium and magnesium cations ( Ca < sup > 2 +</ sup >, Mg < sup > 2 +</ sup >) and carbonate and bicarbonate anions ( CO < sub > 3 </ sub >< sup > 2 -</ sup >, HCO < sub > 3 </ sub >< sup >-</ sup >).

When this is the case, it is usually caused by the presence of calcium and magnesium sulfates and / or chlorides in the water, which become more soluble as the temperature increases.

When there is hypoalbuminemia ( a lower than normal albumin ), the corrected calcium level is higher than the total calcium.

When it is necessary to decrease cerebral blood flow, MAP can be lowered using common antihypertensive agents such as calcium channel blockers.

When the muscle cell is stimulated to contract by an action potential, calcium channels open in the sarcoplasmic membrane and release calcium into the sarcoplasm.

When calcium rises, the muscles contract, and when calcium falls, the muscles relax.