Therefore there were only lifts on every second floor so people had to communicate with one another on different floors.

Therefore, the set of all equivalence classes of forms a partition of: every element of belongs to one and only one equivalence class.

Therefore, every educational program that desires to improve students ' outcomes in political, health and economic behavior should include a Socratically taught set of classes to teach logic and critical thinking.

Therefore, " every assertion contrary to the truth illuminated by faith, we define to be altogether false "

* Therefore regard every living being as you do yourself, harming no one and being kind to all living beings.

states Isaac's blessing: " Therefore God give thee of the dew of heavens, and the fatness of the earth, and plenty of corn and wine: Let people serve thee: be lord over thy brethren, and let thy mother's sons bow down to thee: cursed be every one that curseth thee, and blessed be he that blesseth thee.

Therefore close attention to an opponent's every move is required.

Therefore every A < sub > n </ sub > has the same evaluation as A < sub > 1 </ sub >.

Therefore it is not possible to produce an algorithm that reduces the size of every possible input sequence.

Therefore, in a lunisolar calendar, every 2 to 3 years there is a difference of more than a full lunar month between the lunar and solar years, and an extra ( embolismic ) month needs to be inserted ( intercalation ).

Therefore we hold that every woman must possess the power and freedom to prevent conception except when these conditions can be satisfied.

Therefore, Robinson claimed that every book which would come to form the New Testament was written before AD.

Therefore every function on such a set is a net.

Therefore, some machine-guns are equipped with quick-change barrels that can be swapped every few thousand rounds, or in earlier designs, were water-cooled.

Therefore, it is the relatively small quantity of water in reserve in the earth ( about 1 % of our drinking water supply, which is replenished in aquifers around every 1 to 10 years ), that is a non-renewable resource, and it is, rather, the distribution of potable and irrigation water which is scarce, rather than the actual amount of it that exists on the earth.

Therefore, Emperor Taizong orders the government agencies in charge of municipal construction to build every visiting official his own private mansion in the capital.

Therefore, in general Euclidean spaces every similarity is an affine transformation, because the Euclidean group E ( n ) is a subgroup of the affine group.

Therefore " all Scripture is divinely inspired and has its use for teaching the truth and refuting error, for reformation of manners and discipline in right living, so that the man who belongs to God may be efficient and equipped for good work of every kind " ( 2 Tim.

Therefore it is commonly recommended that rundown tests be performed infrequently, such as every six months to a year.

Therefore, Emperor Taizong ordered the government agencies in charge of municipal construction to build every visiting official his own private mansion in the capital.

Therefore, the armies of France would take up a defensive position that would protect against every possible attack point, but also left the armies unable to support each other.

Therefore, any Internet connected network must by definition either pay another network for transit, or peer with every other network who also does not purchase transit.

Therefore, there is a gap of 12 hours and 25 minutes between every high tide and between every low tide.

Therefore, for any value of T the number of values of f{t} is equal to the ( finite ) number of tangent points corresponding to the argument T plus an odd number.

Therefore the time period available for communication is finite, and very small compared with planetary timescales.

Therefore, the Bragg peaks have a finite width and there may be significant diffuse scattering, a continuum of scattered X-rays that fall between the Bragg peaks.

Therefore the infinite perimeter of the Koch triangle encloses a finite area.

Therefore, a set of real numbers is bounded if it is contained in a finite interval.

Therefore, there is a finite subset A of these sentences that is not satisfiable.

Therefore, quasiparticles acquire a finite lifetime.

Therefore, we could not have the variety of limited, finite things that comprise the creations in the Universe that we inhabit.

Therefore is the number of solutions to x < sup > 3 </ sup > + 1 = y < sup > 3 </ sup > in the finite field Z / pZ.

Therefore, over the natural numbers, has at most minimal elements, a finite number .< ref > With more care, it is possible to show that one of and is at most, and that there is at most one minimal pair for each choice of one of the coordinates, from which it follows that there are at most minimal elements .</ ref >

Therefore, under anaerobic conditions, this substrate is finite and only lasts between approximately 10 to 30 seconds of high intensity work.

Therefore, if u and v are non-zero elements of U, there is an element of R that induces an endomorphism of U transforming u to v. The natural question now is whether this can be generalized to arbitrary ( finite ) tuples of elements.

On a finite-dimensional linear space, a quadratic form x ↦ f ( x ) is always a ( finite ) linear combination of products x ↦ g ( x ) h ( x ) of two linear functionals g and h. Therefore, assuming that the scalars are complex numbers, every sequence x < sub > n </ sub > satisfying g ( x < sub > n </ sub >) → 0 for all linear functionals g, satisfies also f ( x < sub > n </ sub >) → 0 for all quadratic forms f.

Therefore it is possible to confine the description to the case of a single object, which is assumed to be non-empty and bounded ( finite ).

Therefore, it does not accelerate faster and faster ; instead it moves with a finite average velocity, called the drift velocity.

Therefore, by the Robertson – Seymour theorem, the linklessly embeddable graphs have a forbidden graph characterization as the graphs that do not contain any of a finite set of minors.

Its conjugacy classes are labeled by partitions of n. Therefore according to the representation theory of a finite group, the number of inequivalent irreducible representations, over the complex numbers, is equal to the number of partitions of n. Unlike the general situation for finite groups, there is in fact a natural way to parametrize irreducible representations by the same set that parametrizes conjugacy classes, namely by partitions of n or equivalently Young diagrams of size n.

Therefore for each fixed only finite many are non-zero and the just defined product for has only finite many factors unequal 1.

Therefore, special damping initialization steps are necessary ( e. g., fully implicit finite difference method ).

Therefore, since any type of jump does not increase the total score, and the final score on all the soldiers must be at least 1 ( and the scores on any other soldiers left ), the fifth row cannot be reached with a finite number of soldiers originally below the line.

Therefore the pantheist formula " One and All " would apply to Spinoza only if the " One " preserves its transcendence and the " All " were not interpreted as the totality of finite things.