How to use "hence" in a sentence

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Wikipedia Best5|$|ercome. The solution which eventually was generally adopted was the geared turbine, where gearing reduced the rotation {{rate of the}} propellers and <b>hence</b> increased efficiency. This solution required technical precision in the gears and <b>hence</b> was difficult to implement.

The disadvantages of the turbine were eventually overcome. The solution which eventually was generally adopted was the geared turbine, where gearing reduced the rotation rate of the propellers and hence increased efficiency. This solution required technical precision in the gears and hence was difficult to implement.

Wikipedia Best5|$|A {{special case}} of {{intramolecular}} hydrogen bonds within proteins, poorly shielded from water attack and <b>hence</b> promoting their own dehydration, are called dehydrons.

A special case of intramolecular hydrogen bonds within proteins, poorly shielded from water attack and hence promoting their own dehydration, are called dehydrons.

Wikipedia Best5|$|According to Vishishtadvaita the jīvātman {{is a part}} of Brahman, and <b>hence</b> is similar, but not identical.

According to Vishishtadvaita the jīvātman is a part of Brahman, and hence is similar, but not identical.

Wikipedia Best5|$|Ammianus' {{narrative}} {{makes clear}} that Chnodomar ordered an unusually strong levy. <b>Hence</b> the presence at Strasbourg of all eight contemporary Alamanni kings and of the non-Alammanni allies.

Ammianus' narrative makes clear that Chnodomar ordered an unusually strong levy. Hence the presence at Strasbourg of all eight contemporary Alamanni kings and of the non-Alammanni allies.

Wikipedia Best5|$|As of August 2008, {{the most}} recent {{calculation}} of HD 209458 b's Rossiter–McLaughlin effect and <b>hence</b> spin–orbit angle is −4.4 ± 1.4°.

As of August 2008, the most recent calculation of HD 209458 b's Rossiter–McLaughlin effect and hence spin–orbit angle is −4.4 ± 1.4°.

Wikipedia Best5|$|Black bear {{activity}} {{along the}} trail in New Jersey increased rapidly starting in 2001. <b>Hence,</b> metal bear-proof trash boxes are in place at all New Jersey shelters.

Black bear activity along the trail in New Jersey increased rapidly starting in 2001. Hence, metal bear-proof trash boxes are in place at all New Jersey shelters.

Wikipedia Best5|$|Classification of the Ediacarans is difficult, and <b>hence</b> {{a variety}} of {{theories}} exist as to their placement on the tree of life.

Classification of the Ediacarans is difficult, and hence a variety of theories exist as to their placement on the tree of life.

Wikipedia Best5|$|Differentiation and {{integration}} of power series can be performed term by term and is <b>hence</b> particularly easy.

Differentiation and integration of power series can be performed term by term and is hence particularly easy.

Wikipedia Best5|$|Dissecting aneurysms of the {{vertebral}} artery constitute 4% of all cerebral aneurysms, and are <b>hence</b> a relatively rare but important cause of subarachnoid hemorrhage.

Dissecting aneurysms of the vertebral artery constitute 4% of all cerebral aneurysms, and are hence a relatively rare but important cause of subarachnoid hemorrhage.

Wikipedia Best5|$|Even {{though this}} is the franchise's first Super Bowl victory, it is their 10th league {{championship}} <b>hence</b> the number 10 after the Super Bowl I line.

Even though this is the franchise's first Super Bowl victory, it is their 10th league championship hence the number 10 after the Super Bowl I line.

Wikipedia Best5|$|Fizeau's {{experiment}} is <b>hence</b> supporting {{evidence for the}} collinear case of Einstein's velocity addition formula.

Fizeau's experiment is hence supporting evidence for the collinear case of Einstein's velocity addition formula.

Wikipedia Best5|$|<b>Hence</b> Jainism enjoins its adherents to {{completely}} avoid violence to higher-sensed beings {{and as far}} as possible minimise violence to lo

Hence Jainism enjoins its adherents to completely avoid violence to higher-sensed beings and as far as possible minimise violence to lower-sensed and single-sensed beings.

Wikipedia Best5|$|<b>Hence</b> light {{traveling}} {{against the}} flow of water should be slower than light traveling with {{the flow of}} water.

Hence light traveling against the flow of water should be slower than light traveling with the flow of water.

Wikipedia Best5|$|<b>Hence</b> {{the atomic}} nuclei, which are much heavier than an electron, {{contribute}} negligibly to the scattered X-rays.

Hence the atomic nuclei, which are much heavier than an electron, contribute negligibly to the scattered X-rays.

Wikipedia Best5|$|<b>Hence,</b> as the {{accompanying}} diagram shows, total revenue is maximized at {{the combination of}} price and quantity demanded where the elasti

Hence, as the accompanying diagram shows, total revenue is maximized at the combination of price and quantity demanded where the elasticity of demand is unitary.

Wikipedia Best5|$|<b>Hence,</b> double {{bonds are}} formed by sharing a face between two cubic atoms. This {{results in the}} sharing of four electrons.

Hence, double bonds are formed by sharing a face between two cubic atoms. This results in the sharing of four electrons.

Wikipedia Best5|$|<b>Hence,</b> {{the court}} {{reasoned}} that Hemi's {{decision not to}} do business with New York indicated that it should have foreseen being brough

Hence, the court reasoned that Hemi's decision not to do business with New York indicated that it should have foreseen being brought to court in Illinois for selling cigarettes to Illinois residents.

Wikipedia Best5|$|Heraldic {{arms were}} worn (embroidered) on a coat which knights wore over their armor, <b>hence</b> coat of arms, a term which dates back roughly 1,000 years to jousting tournaments.

Heraldic arms were worn (embroidered) on a coat which knights wore over their armor, hence coat of arms, a term which dates back roughly 1,000 years to jousting tournaments.

Wikipedia Best5|$|Ice rafted debris distribution: Sediment {{transported by}} ice {{does not extend}} as far East during H3/6. <b>Hence</b> some {{researchers}} have been moved to suggest a European origin {{for at least some}} H3/6 clasts: America and Europe were originally a

Ice rafted debris distribution: Sediment transported by ice does not extend as far East during H3/6. Hence some researchers have been moved to suggest a European origin for at least some H3/6 clasts: America and Europe were originally adjacent to one another; hence, the rocks on each continent are difficult to distinguish, and the source is open to interpretation (Grousset et al. 2000).

Wikipedia Best5|$|rally, {{whenever}} H is a bipartite graph, H-colorability {{is equivalent}} to K2-colorability (or K'0 / K'1-colorability when H is empty/edgeless), <b>hence</b> equally easy to decide.

More generally, whenever H is a bipartite graph, H-colorability is equivalent to K2-colorability (or K'0 / K'1-colorability when H is empty/edgeless), hence equally easy to decide.

Wikipedia Best5|$|Reptation is a snake-like {{movement}} (<b>hence</b> the name) involving sequential {{motion of}} cluster sub-units (see figure 11(c)).

Reptation is a snake-like movement (hence the name) involving sequential motion of cluster sub-units (see figure 11(c)).

Wikipedia Best5|$|T. o. pattersonianus (Lydekker, 1906; East African eland or Patterson's eland): {{also called}} billingae. It {{is found in}} east Africa, <b>hence</b> its common name. Its coat can have up to 12 stripes.

T. o. pattersonianus (Lydekker, 1906; East African eland or Patterson's eland): also called billingae. It is found in east Africa, hence its common name. Its coat can have up to 12 stripes.

Wikipedia Best5|$|The exact {{mechanism}} of action remained unknown until it was demonstrated, in 1978, that warfarin inhibits the enzyme epoxide reductase and <b>hence</b> interferes with vitamin K metabolism.

The exact mechanism of action remained unknown until it was demonstrated, in 1978, that warfarin inhibits the enzyme epoxide reductase and hence interferes with vitamin K metabolism.

Wikipedia Best5|$|Thymine and uracil, nucleic {{bases of}} {{thymidine}} and uridine, respectively, {{do not have}} exocyclic amino groups and <b>hence</b> do not require any protection.

Thymine and uracil, nucleic bases of thymidine and uridine, respectively, do not have exocyclic amino groups and hence do not require any protection.

Wikipedia Best5|$|Using {{hormonal}} combined contraceptive pills {{also helps}} {{in reducing the}} chances of PID by thickening the cervical mucosal plug & <b>hence</b> preventing the ascent of causative organisms from the lower genital tract.

Using hormonal combined contraceptive pills also helps in reducing the chances of PID by thickening the cervical mucosal plug & hence preventing the ascent of causative organisms from the lower genital tract.

Wikipedia Good25|$|Quasi-regular: vertex-transitive and edge-transitive (and <b>hence</b> has regular faces) but not face-transitive. A quasi-regular dual is face-transitive and edge-transitive (and <b>hence</b> every vertex is

Quasi-regular: vertex-transitive and edge-transitive (and hence has regular faces) but not face-transitive. A quasi-regular dual is face-transitive and edge-transitive (and hence every vertex is regular) but not vertex-transitive.

Wikipedia Good25|$|<b>Hence,</b> {{for every}} good node u, the {{probability}} that a neighbour of u is selected to S and remains in S is a certain positive constant. <

Hence, for every good node u, the probability that a neighbour of u is selected to S and remains in S is a certain positive constant. Hence, the probability that u is removed, in each step, is at least a positive constant.

Wikipedia Good25|$|The key {{disadvantages}} {{include the}} relatively low rotational speed with the consequential higher torque and <b>hence</b> higher cost of the drive train, the inherently lower power coefficient, the 360-degree rotation of the aerofoil within the wind flow duri

The key disadvantages include the relatively low rotational speed with the consequential higher torque and hence higher cost of the drive train, the inherently lower power coefficient, the 360-degree rotation of the aerofoil within the wind flow during each cycle and hence the highly dynamic loading on the blade, the pulsating torque generated by some rotor designs on the drive train, and the difficulty of modelling the wind flow accurately and hence the challenges of analysing and designing the rotor prior to fabricating a prototype.

Wikipedia Good25|$|Dahlgren's {{great-grandfather}} was Swedish, <b>hence</b> her Swedish surname.

Dahlgren's great-grandfather was Swedish, hence her Swedish surname.

Wikipedia Good25|$|<b>Hence</b> P∞(R) is the Eilenberg-Maclane space K(Z/2Z, 1).

Hence P∞(R) is the Eilenberg-Maclane space K(Z/2Z, 1).

Wikipedia Good25|$|<b>Hence</b> it {{is wrong}} to kill the embryo.

Hence it is wrong to kill the embryo.

Wikipedia Good25|$|<b>Hence</b> {{the drag}} vanishes. This is d'Alembert's paradox.

Hence the drag vanishes. This is d'Alembert's paradox.

Wikipedia Good25|$|<b>Hence,</b> s cannot {{occur in}} the enumeration.

Hence, s cannot occur in the enumeration.

Wikipedia Good25|$|Lithium, {{increases}} excretion, <b>hence</b> reducing therapeutic effect.

Lithium, increases excretion, hence reducing therapeutic effect.

Wikipedia Good25|$|For C, and <b>hence</b> by the Lefschetz {{principle}} for every algebraically closed field of characteristic zero, the torsion group of an abelian variety of di

For C, and hence by the Lefschetz principle for every algebraically closed field of characteristic zero, the torsion group of an abelian variety of dimension g is isomorphic to (Q/Z)2g. Hence, its n-torsion part is isomorphic to (Z/nZ)2g, i.e. the product of 2g copies of the cyclic group of order n.

Wikipedia Good25|$|Toby Moulton withdrew <b>hence</b> keeping {{original}} eliminee in the competition.

Toby Moulton withdrew hence keeping original eliminee in the competition.