The elementary theory of optical systems leads to the theorem: Rays of light proceeding from any object point unite in an image point ; and therefore an object space is reproduced in an image space.

Extension of this approach to three dimensional space curves leads to the Frenet – Serret formulas.

This causes radioactive nickel to become the last element to be produced before collapse of a supernova leads to the explosive events that scatter this precursor radionuclide of iron abundantly into space.

This leads to the same Lie algebra, because the inverse map on G can be used to identify left invariant vector fields with right invariant vector fields, and acts as − 1 on the tangent space T < sub > e </ sub >.

A metric space also induces topological properties like open and closed sets which leads to the study of even more abstract topological spaces.

Oberon's feature simplicity leads to considerable space and coding efficiency for its compilers.

With the intervention of a future / alternate version of herself, Janeway leads her crew in using one of the Borg's transwarp conduits to return her ship to Federation space after having traveled through the Delta Quadrant for seven years.

In the ride, Janeway leads Voyager to the rescue of ride participants who are ostensibly trapped first on a space station and later on a shuttlecraft that come under attack by a Borg Cube commanded by the Borg Queen.

Early Dutch television series were Morgen gebeurt het ( tomorrow it will happen ), broadcast from 1957 to 1959, about a group of Dutch space explorers and their adventures, De duivelsgrot ( the devil's cave ), broadcast from 1963 to 1964, about a scientist who finds the map of a cave that leads to the center of the earth and Treinreis naar de Toekomst ( train journey to the future ) about two young children who are taken to the future by robots who try to recreate humanity, but are unable to give the cloned humans a soul.

< imagemap > File: 1990s decade montage. png | From left, clockwise: The Hubble Space Telescope floats in space after it was taken up in 1990 ; American F-16s and F-15s fly over burning oil fields and the USA Lexie in Operation Desert Storm, also known as the 1991 Gulf War ; The signing of the Oslo Accords on 13 September 1993 ; The World Wide Web gains a public face during the start of decade and as a result gains massive popularity worldwide ; Boris Yeltsin and followers stand on a tank in defiance to the August Coup, which leads to the Soviet Union's dissolution on 26 December 1991 ; Dolly the sheep is the first mammal to be cloned from an adult somatic cell ; The funeral procession of Diana, Princess of Wales, who dies in 1997 from a car crash in Paris, and is mourned by millions ; Hundreds of thousands are killed in the Rwandan Genocide of 1994 .| 420px | thumb

Inside the package, the lower half has the leads embedded, and at the center of the package is a rectangular space, chamber, or void into which the IC die is cemented.

The FSPL expression above often leads to the erroneous belief that free space attenuates an electromagnetic wave according to its frequency.

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

This leads to different choices of sample space.

Vector fields can usefully be thought of as representing the velocity of a moving flow in space, and this physical intuition leads to notions such as the divergence ( which represents the rate of change of volume of a flow ) and curl ( which represents the rotation of a flow ).

3 ) The theory of convergence via filters, due to Henri Cartan and developed by Bourbaki in 1937, leads to the following criterion: assuming the ultrafilter lemma, a space is compact if and only if each ultrafilter on the space converges.

4 ) Similarly, the Moore – Smith theory of convergence via nets, as supplemented by Kelley's notion of a universal net, leads to the criterion that a space is compact if and only if each universal net on the space converges.

This hallway leads to a maze-like complex, starting with a large room ( the " Anteroom "), which in turn leads to a truly enormous space ( the " Great Hall "), a room primarily distinguished by an enormous spiral staircase which appears, when viewed from the landing, to spiral down without end.

Discarding it leads to immediate increase in entropy but the demon cannot store it indefinitely: In 1982, Bennett showed that, however well prepared, eventually the demon will run out of information storage space and must begin to erase the information it has previously gathered.

This leads to the conclusion that if you want to compress an object into a very small space, you must use tremendous force to control its particles ' momentum.

The Salk Institute ’ s open environment teeming with empty space is symbolic of an open environment for creation, the symmetry stands for scientific precision, and submerging crevasses allow warm, natural light to enter the buildings like the intellectual light that leads to discovery.

In both of these cases, free riding leads to Pareto inefficiency.

A system of compelling the exchange of commodities at what is not their real relative value not only relaxes production, but leads finally to the waste and inefficiency of barter.

Withdrawal-related psychosis from antipsychotics is called " supersensitivity psychosis ", and is attributed to increased number and sensitivity of brain dopamine receptors, due to blockade of dopaminergic receptors by the antipsychotics, which often leads to exacerbated symptoms in the absence of neuroleptic medication.

The loss of soil fertility due to erosion is further problematic because the response is often to apply chemical fertilizers, which leads to further water and soil pollution, rather than to allow the land to regenerate.

In a few materials, a much stronger interaction between spins arises because the change in the direction of the spin leads to a change in electrostatic repulsion between neighboring electrons, due to a particular quantum mechanical effect called the exchange interaction.

The area available known as the West Disko licensing round is of an interest due to its relative accessibility compared to other Arctic basins as the area remains largely free of ice and a number of promising geological leads and prospects from the Paleocene era.

The duel, however, leads to inconclusive results due to intervention by Aphrodite who leads Paris off the field.

Supporters of property rights argue that this enables better protection of scarce resources, due to the tragedy of the commons, while critics argue that it leads to the ' exploitation ' of those resources for personal gain and that it hinders taking advantage of potential network effects.

This leads to a height variation and thus the image comes from the tip topography across the sample and gives a constant charge density surface ; this means contrast on the image is due to variations in charge density.

Determinism is frustrated by the probabilistic nature of quantum mechanical predictions, by the extreme sensitivity to initial conditions that leads to mathematical chaos, by the limitations due to event horizons, and by the extreme mathematical difficulty of applying the theory.

Constraints due to the number of external pins ( leads ) often forced the functions to share some of those external connections such as their cathode connections ( in addition to the heater connection ).

The release of pressure due to the thinning of the crust leads to adiabatic expansion, and the partial melting of the mantle causing volcanism and creating new oceanic crust.

In older sequences diagenetic alteration combined with greater uncertainties in estimating absolute ages due to lack of overlap between other geochronometers ( for example U-Th ) leads to greater uncertainties in the exact shape of the Sr isotope seawater curve.

With this type of meter, any voltage drop due to the resistance of the first pair of leads and their contact resistances is ignored by the meter.

Due to the overall string voltage depletion due to the dead cells, the charging system may detect this as a state of discharge, and will continuously attempt to charge the series-parallel strings, which leads to continuous overcharging and damage to all the cells in the degraded series string containing the damaged battery.

Burial of rocks due to ongoing sedimentation leads to increased pressure and temperature, which stimulates certain chemical reactions.

The backbone structure continues to grow due to the huge number of emerging mobile operators, which leads to decreasing prices thanks to market competition.

Lexington has been known as a major center for Thoroughbred breeding since the late 18th century due to the high calcium content in the soils of the Inner Bluegrass Region, which leads to stronger bones and greater durability in horses.

Jon D. Levenson argues that omnipotence doctrine fails to " give due regard to "' the formidability and resilience of the forces counteracting creation " ( such as the primordial state of chaos existing before creation ) and " leads to a neglect of the role of humanity in forming and stating the world order.

* Kidneys: renal tubular acidosis, a disorder of bicarbonate handling by the proximal tubules leads to nephrocalcinosis ( calcium accumulation in the kidneys ), a weakening of bones ( due to calcium and phosphate loss ), and occasionally aminoaciduria ( loss of essential amino acids needed for protein synthesis ).

Posterior wall perforation leads to bleeding due to involvement of gastroduodenal artery that lies posterior to the 1st part of duodenum.

Conyers expressed concern that this silence was due to the CIA's connections to these military officers dating back to the creation of the Haitian Intelligence service known as SIN, as Alan Nairn's research has shown: " We have turned a very deaf ear to what is obviously a moving force ... it leads you to wonder if our silence is because we knew this was going on and of our complicity in drug activity ..." Nairn in particular alleged that the CIA's connections to these drug traffickers in the junta not only dated to the creation of SIN, but were ongoing during and after the coup.

This leads to a multiple vitamin deficiency, affecting the fat-soluble vitamin A, vitamin D, vitamin E, and vitamin K. However, many of the observed effects are due to vitamin E deficiency in particular.

His association with the sun-god, Shamash, due to the natural combination of the two deities who alternate in the control of nature, leads to imbuing him with some of the traits belonging to a solar deity.

A term arises due to Zeeman splitting of the ground or excited degenerate states, like what is shown in the ( 2 ) in figure 1 The small Zeeman splitting would make the oppositely signed transitions RCP light and LCP light almost cancel out with each other, which leads to the derivative shape of the band.