Then, dividing the units of energy ( such as eV ) by a fundamental constant that has units of velocity ( M < sup > 0 </ sup > L < sup > 1 </ sup > T < sup >-1 </ sup >), facilitates the required conversion of using energy units to describe momentum.

Then, using the periodic Bernoulli function P < sub > n </ sub > defined above and repeating the argument on the interval, one can obtain an expression of ƒ ( 1 ).

Then the preparer grinds the coffee using a traditional tool called a mokecha.

Then, using an electronic design automation tool, a technology-mapped netlist is generated.

Then, using back-substitution, each unknown can be solved for.

Then it would be that by recursion ( using the axiom of countable choice ) that a sequence of polynomials could be found so that, letting of minimal degree.

Then, in 1915, William Henry Bragg and William Lawrence Bragg, a British father-son pair, shared this Nobel Prize for their discoveries in the reverse problem-determining the structure of crystals using X-rays.

Then, on paper, they bought $ 200 worth of each, for a total bet of $ 1, 000, using the prices on September 29, 1980, as an index.

Then Socrates goes on to demonstrate the contrary of the commonly accepted part using the law of noncontradiction.

" Then the novel tells a story of boys trying to grow mandrake using hanged archbishop's semen.

Then, using information in its routing table or routing policy, it directs the packet to the next network on its journey.

Then Merlin, using " gear " and skill, easily dismantled the stones and sent them over to Britain, where Stonehenge was dedicated.

Then execute using or.

⟨ H ⟩, be the group generated by H. Then the word problem in H < sup >*</ sup > is solvable: given two words h, k in the generators H of H < sup >*</ sup >, write them as words in X and compare them using the solution to the word problem in G. It is easy to think that this demonstrates a uniform solution the word problem for the class K ( say ) of finitely generated groups that can be embedded in G. If this were the case the non-existence of a universal solvable word problem group would follow easily from Boone-Rogers.

Then the trace of the identity matrix is the dimension of the space ; this leads to generalizations of dimension using trace.

Then burr holes are created into the patient ’ s skull using a drill.

Then, thus by T, which means w R w using the definition of.

Then, in August 1497, James laid siege to Norham Castle, using his father's bombard Mons Meg.

Then write a review without using any of the following words: " Progressive rock ", " Genesis ", " Fish ", " heavy metal ", " dinosaurs ", " predictable ", " concept album ".

Then, using physical arguments, one derives a suitable " fundamental volume " for the particular system to reflect the fact that quantum mechanical microstates are discretely distributed on the phase space.

Then, using a simple greedy algorithm, the easy knapsack can be solved using O ( n ) arithmetic operations, which decrypts the message.

Examples: William Faulkner in A Rose for Emily ( Faulkner was an avid experimenter in using unusual points of view-see his Spotted Horses, told in third person plural ); Frank B. Gilbreth and Ernestine Gilbreth Carey in Cheaper By the Dozen ; Frederik Pohl in Man Plus ; and more recently, Jeffrey Eugenides in his novel The Virgin Suicides and Joshua Ferris in Then We Came to the End.

Then, using his fingers, he takes some of the blessed oil floating on the surface of the baptismal water and anoints the catechumen on the forehead, breast, shoulders, ears, hands and feet.

Then, detailed study was undertaken to determine the painting's original form, using scientific tests ( especially infrared reflectoscopy and microscopic core-samples ), and original cartoons preserved in the Royal Library at Windsor Castle.

Then the formula

Then we could have written a formula of degree k which is equivalent to φ, namely.

Then the following formula is an axiom:

Then the formula Cold ( r )→ High ( t ) is true for any t and therefore any t gives a correct control given r. A rigorous logical justification of fuzzy control is given in Hájek's book ( see Chapter 7 ) where fuzzy control is represented as a theory of Hájek's basic logic.

Then, the correct formula for work function is:

Then, by Euler's formula,

Then that formula must be copied into all of the cells in column C, making sure to change the reference to A1 to a new reference for A2, etc.

Then if " Total Sales " view is added to the workbook, the totals would automatically appear there, because the sheet " knows " that is what the formula is for.

Then in 1913, using this formula as a basis, Albert Einstein and Otto Stern published a paper of great significance in which they suggested for the first time the existence of a residual energy that all oscillators have at absolute zero.

Then by the triple-angle formula, and so.

Then X is defined by the formula so X is in ( actually it is in as well since we could bound both quantifiers by n ).

Then the formula is:

Then the Black formula states the price for a European call option of maturity T on a futures contract with strike price K and delivery date T ( with ) is

Then we recursively define the truth of a formula in a model:

Then, the van der Pauw formula becomes

Then the final formula in (*) must be true, and φ is also true.

Then the formula

Then, using this Dirichlet series with Perron's formula, one obtains:

Then, Boltzmann's entropy formula gives for the probability distribution function, A = const.

Then the satisfying instances of the resulting 2SAT formula encode solutions to the vertex cover problem, and there is a satisfying assignment with true variables if and only if there is a vertex cover with vertices.

Then, for example, taking the first option gives a formula for IsPrime ( n ) using Wilson's theorem:

Then Adam Pociej, Bishop of Vladimir, in his own name and that of the Ruthenian episcopate, read in Latin the formula of abjuration of the Greek Schism, Bishop Cyryl Terlecki of Lutsk read it in Ruthenian, and they affixed their signatures.

Then we apply the quadratic formula.

Then the Feynman – Kac formula tells us that the solution can be written as a conditional expectation