Inserting the expression presented above into the chemical potential equation for the entire system and rearranging will arrive at:

Inserting this into the above equation for Δμ yields

Inserting the above into the Fubini – Study metric gives:

Inserting g into the internal energy

Inserting eukaryotic DNA ( instead of mRNA ) into bacteria would not work because it is fragmented, with introns, and would not transcribe successfully using the bacteria's ribosomes.

Inserting this into the formula for the function f one can determine the minimal distance at which the ellipsoid exists.

Inserting detonators into blocks of C-4 explosive

Inserting blasting cap s into blocks of C4 explosive

Inserting the specific heat equation into the thermal efficiency equation ( Equation 1 ) yields.

Inserting an etalon into the laser cavity, with well-chosen finesse and free-spectral range, can suppress all cavity modes except for one, thus changing the operation of the laser from multi-mode to single-mode.

Inserting new data into existing data structures, updating data in existing data structures, deleting data from existing data structures.

Inserting Pamela Pigg into this list makes six-more than the fingers of one hand, unless Adrian is polydactyl.

Inserting these two equations into the cochain homotopy equation proves the Poincaré lemma.

Inserting the key into Megatron's tail reveals a firing missile launcher.

* Inserting vowels into consonant clusters ( epenthesis ): Likewise depending on the social class, every now and then a speaker may insert a vowel ( near-Schwa ) between two following consonants.

Inserting a pig into a natural gas pipeline

Inserting the figure's Earth Cyber Planet Key into the tail section causes a pair of twin guns to pop up, changing the noise once more, into an explosive blast.

Inserting these into our mass balance expression, we obtain the general 2D governing equation for incompressible saturated groundwater flow:

Inserting into these summits are 800 – 1000 m high summits of Phu Sinh ( 965m ), Phu Co Tri ( 949m ), Phu On Boi ( 933m ), Phu Tu ( 956m ), Phu Toan ( 905m ), Phu Phong ( 902m ), and Ma Ma ( 835m ).

Inserting a new element to a heap can be done by simply creating a new heap containing only this element and then merging it with the original heap.

Inserting a section can be done by editing either the section before or after it, merging with the previous section by deleting the heading.

Colonel Leavenworth of the 3d Infantry, with four companies of his regiment will ascend the Missouri and when he reaches a point on its left band near the mouth of Little Platte River and within a range of twenty miles above or below its confluence, he will select such position as in his judgment is best calculated for the site of a permanent cantonment.

The nickel atom has two electron configurations, 4s < sup > 2 </ sup > 3d < sup > 8 </ sup > and 4s < sup > 1 </ sup > 3d < sup > 9 </ sup >, which are very close in energy, where the symbol refers to the argon-like core structure.

This configuration agrees with the Madelung energy ordering rule, which predicts that 4s is filled before 3d.

It is supported by the experimental fact that the lowest energy state of the nickel atom is a 4s < sup > 2 </ sup > 3d < sup > 8 </ sup > energy level, specifically the 3d < sup > 8 </ sup >(< sup > 3 </ sup > F ) 4s < sup > 2 </ sup > < sup > 3 </ sup > F, J = 4 level.

The two sets of energies overlap, and the average energy of states having configuration 4s < sup > 1 </ sup > 3d < sup > 9 </ sup > is in fact lower than the average energy of states having configuration 4s < sup > 2 </ sup > 3d < sup > 8 </ sup >.

The characteristic color of copper results from the electronic transitions between the filled 3d and half-empty 4s atomic shells – the energy difference between these shells is such that it corresponds to orange light.

There is also an empty 3d level, but it is at considerably higher energy than 3s and 3p ( unlike in the hydrogen atom ), so that 3s < sup > 2 </ sup > 3p < sup > 6 </ sup > is still considered a closed shell for chemical purposes.

In early work, phosphine ligands were thought to utilize 3d orbitals to form M-P pi-bonding, but it is now accepted that d-orbitals on phosphorus are not involved in bonding as they are too high in energy.

In this situation, the formation of an energy gap preventing conduction can be understood as the competition between the Coulomb potential U between 3d electrons and the transfer integral t of 3d electrons between neighboring atoms ( the transfer integral is a part of the tight-binding approximation ).

Stephen Breyer, a U. S. Supreme Court Justice since 1994, divides the history of administrative law in the United States into six discrete periods, according to his book, Administrative Law & Regulatory Policy ( 3d Ed., 1992 ):

In 1995, South Dakota challenged the authority of the Secretary of Interior, under the IRA, to take of land into trust on behalf of the Lower Brulé Sioux Tribe ( based on the Rosebud Indian Reservation ), in South Dakota v. United States Dep't of the Interior, 69 F. 3d 878, 881-85 ( 8th Cir.

Electronic Arts has referred to the Ultima Online: Kingdom Reborn client as " 2. 5d ," meaning that it was written in 3d and then effectively backslid into 2d to make it, in theory, easier for lower-end computers to run.

Following his death in 1822 at Ioannina, Preveza entered into its 3d Ottoman occupation period, i. e., a rule more directly controlled from Istanbul, until the year 1912 when the city joined Greece.

While waiting for the new album to be released, the new Dingo-fans ran into stores to buy the first album and surprisingly “ Nimeni on Dingo ” reached the 3d position on sales list.

The 3d MP Group ( CID ) is organized into a command group and seven staff divisions, including personnel and administration, operations, logistics, resource management, staff judge advocate, information management and Headquarters and Headquarters Detachment.

Modern 3d packages include specific plugins for applying light-map UV-coordinates, atlas-ing multiple surfaces into single texture sheets, and rendering the maps themselves.

Two fresh battalions — the 2 / 5001st Infantry and ARVN 2 / 3d Infantry — were airlifted into LZs northeast and southeast of the base of the mountain on May 19.

Upon arrival in theater, 1st Marines formed into a Regimental Combat Team ( RCT-1 ) and conducted a relief-in-place with 3d Brigade of the 82d Airborne Division.

The user then uses a second image of the subject from a different angle and extrudes the 2d shape into 3d, again following the shape ’ s outline.

This unit, the First American Regiment was commanded until 1 January 1792 by Josiah Harmar of Pennsylvania, gradually turned into a Regular regiment known as the 1st Infantry in 1791, and in 1815 was it redesignated as the 3d Infantry in the reorganization of the army following the War of 1812.