Foram encontradas 60 questões.
Se, para \( n ∈ \mathbb N \) , an representa o termo geral de uma progressão aritmética de razão igual a \( -{ \large 1 \over 2} \) , e \( f: \mathbb R \rightarrow \mathbb R \) é a função definida por f(x) = 9x, então a sequência cujo termo geral bn, \( n ∈ \mathbb N \) , é definido por bn = f(an) é uma progressão
Provas
A figura abaixo representa uma peça industrial com a forma de um octaedro regular, cujas arestas medem 2 metros.

Quando representado em m3, o volume dessa peça é
Provas
Disciplina: Engenharia de Telecomunicações
Banca: CESGRANRIO
Orgão: TERMOBAHIA
Um conversor A/D (Analógico/Digital), de 8 bits, converte sinais de tensão na faixa de −1 V a +1 V. A sequência 00000000 corresponde ao nível −1V de tensão, e a sequência 11111111 corresponde ao nível +1 V. Após a digitalização, tendo sido gerada a sequência 10011101, o valor aproximado, em V, do nível de tensão correspondente é
Provas
Stanford physicists make new form of matter
The laser-cooled quantum gas opens exciting new
realms of unconventional superconductivity.
By Max McClure
Stanford University News
Within the exotic world of macroscopic quantum
effects, where fluids flow uphill, wires conduct without
electrical resistance and magnets levitate, there is an
even stranger family of “unconventional” phenomena:
strongly interacting fermions, a class of particles that
are often very difficult to understand on the quantum
level. These materials often defy explanation by
current theoretical physics, but hold enormous
promise for the development of futuristic technologies
as room-temperature superconductors, ultrasensitive
microscopes and quantum computation.
Last week the scientific world was appalled when
a Stanford team made the announcement in Physical
Review Letters that they had created the world’s first
dipolar quantum fermionic gas– “an entirely new
form of quantum matter,” as Stanford applied physics
Professor and lead author Benjamin Lev puts it. Lev
affirmed that this development represents a major
step toward understanding the behavior of these
systems of particles. Until now, research efforts had
focused on cooling bosons – fundamentally different
from fermions, and much easier to work with. But
now the Stanford team extended these techniques to
gases made of the most magnetic atom: a fermionic
isotope of dysprosium with magnetic energies 4
times larger than previously cooled gases.
He explained that when the thermal energy of
some substances drops below a certain critical point,
it used to be impossible to consider its component
particles separately since the material becomes
strongly correlated and its quantum effects become
difficult to understand and study. Nevertheless,
making the material out of a gas of atoms allows it
to become visible. These quantum gases, the coldest
objects known to man, are where researchers can
observe zero-viscosity fluids – superfluids – that are
mathematical cousins of superconductors.
Thus far, the result of the Lev lab’s high-tech efforts
is a tiny ball of ultracold quantum dipolar fluid. But the
researchers have reason to believe that the humble
substance will exhibit the seemingly contradictory
characteristics of both crystals and superfluids. This
combination could lead to quantum liquid crystals.
Or it could yield a supersolid – a hypothetical state
of matter that would, in theory at least, be a solid with
superfluid characteristics.
The researchers have already begun developing a
microscope to make use of the dipolar quantum fluid’s
unique characteristics. It is the “cryogenic atom chip
microscope”, a magnetic probe that should measure
magnetic fields with unprecedented sensitivity and
resolution. “This kind of probe may even allow for a
more stable form of quantum computation that uses
exotic quantum matter to process information, known
as a topologically protected quantum computer”,
said Lev. “So this new approach is really incredibly
exciting.”
Available at: http://news.stanford.edu/news/2012/june/lev-new--matter-060512.html. Retrieved on: 5 June 2012. Adapted.
According to the text, the cryogenic atom chip microscope
Provas
Stanford physicists make new form of matter
The laser-cooled quantum gas opens exciting new
realms of unconventional superconductivity.
By Max McClure
Stanford University News
Within the exotic world of macroscopic quantum
effects, where fluids flow uphill, wires conduct without
electrical resistance and magnets levitate, there is an
even stranger family of “unconventional” phenomena:
strongly interacting fermions, a class of particles that
are often very difficult to understand on the quantum
level. These materials often defy explanation by
current theoretical physics, but hold enormous
promise for the development of futuristic technologies
as room-temperature superconductors, ultrasensitive
microscopes and quantum computation.
Last week the scientific world was appalled when
a Stanford team made the announcement in Physical
Review Letters that they had created the world’s first
dipolar quantum fermionic gas– “an entirely new
form of quantum matter,” as Stanford applied physics
Professor and lead author Benjamin Lev puts it. Lev
affirmed that this development represents a major
step toward understanding the behavior of these
systems of particles. Until now, research efforts had
focused on cooling bosons – fundamentally different
from fermions, and much easier to work with. But
now the Stanford team extended these techniques to
gases made of the most magnetic atom: a fermionic
isotope of dysprosium with magnetic energies 4
times larger than previously cooled gases.
He explained that when the thermal energy of
some substances drops below a certain critical point,
it used to be impossible to consider its component
particles separately since the material becomes
strongly correlated and its quantum effects become
difficult to understand and study. Nevertheless,
making the material out of a gas of atoms allows it
to become visible. These quantum gases, the coldest
objects known to man, are where researchers can
observe zero-viscosity fluids – superfluids – that are
mathematical cousins of superconductors.
Thus far, the result of the Lev lab’s high-tech efforts
is a tiny ball of ultracold quantum dipolar fluid. But the
researchers have reason to believe that the humble
substance will exhibit the seemingly contradictory
characteristics of both crystals and superfluids. This
combination could lead to quantum liquid crystals.
Or it could yield a supersolid – a hypothetical state
of matter that would, in theory at least, be a solid with
superfluid characteristics.
The researchers have already begun developing a
microscope to make use of the dipolar quantum fluid’s
unique characteristics. It is the “cryogenic atom chip
microscope”, a magnetic probe that should measure
magnetic fields with unprecedented sensitivity and
resolution. “This kind of probe may even allow for a
more stable form of quantum computation that uses
exotic quantum matter to process information, known
as a topologically protected quantum computer”,
said Lev. “So this new approach is really incredibly
exciting.”
Available at: http://news.stanford.edu/news/2012/june/lev-new--matter-060512.html. Retrieved on: 5 June 2012. Adapted.
According to the text, this new material has the opposing qualities of being
Provas
Stanford physicists make new form of matter
The laser-cooled quantum gas opens exciting new
realms of unconventional superconductivity.
By Max McClure
Stanford University News
Within the exotic world of macroscopic quantum
effects, where fluids flow uphill, wires conduct without
electrical resistance and magnets levitate, there is an
even stranger family of “unconventional” phenomena:
strongly interacting fermions, a class of particles that
are often very difficult to understand on the quantum
level. These materials often defy explanation by
current theoretical physics, but hold enormous
promise for the development of futuristic technologies
as room-temperature superconductors, ultrasensitive
microscopes and quantum computation.
Last week the scientific world was appalled when
a Stanford team made the announcement in Physical
Review Letters that they had created the world’s first
dipolar quantum fermionic gas– “an entirely new
form of quantum matter,” as Stanford applied physics
Professor and lead author Benjamin Lev puts it. Lev
affirmed that this development represents a major
step toward understanding the behavior of these
systems of particles. Until now, research efforts had
focused on cooling bosons – fundamentally different
from fermions, and much easier to work with. But
now the Stanford team extended these techniques to
gases made of the most magnetic atom: a fermionic
isotope of dysprosium with magnetic energies 4
times larger than previously cooled gases.
He explained that when the thermal energy of
some substances drops below a certain critical point,
it used to be impossible to consider its component
particles separately since the material becomes
strongly correlated and its quantum effects become
difficult to understand and study. Nevertheless,
making the material out of a gas of atoms allows it
to become visible. These quantum gases, the coldest
objects known to man, are where researchers can
observe zero-viscosity fluids – superfluids – that are
mathematical cousins of superconductors.
Thus far, the result of the Lev lab’s high-tech efforts
is a tiny ball of ultracold quantum dipolar fluid. But the
researchers have reason to believe that the humble
substance will exhibit the seemingly contradictory
characteristics of both crystals and superfluids. This
combination could lead to quantum liquid crystals.
Or it could yield a supersolid – a hypothetical state
of matter that would, in theory at least, be a solid with
superfluid characteristics.
The researchers have already begun developing a
microscope to make use of the dipolar quantum fluid’s
unique characteristics. It is the “cryogenic atom chip
microscope”, a magnetic probe that should measure
magnetic fields with unprecedented sensitivity and
resolution. “This kind of probe may even allow for a
more stable form of quantum computation that uses
exotic quantum matter to process information, known
as a topologically protected quantum computer”,
said Lev. “So this new approach is really incredibly
exciting.”
Available at: http://news.stanford.edu/news/2012/june/lev-new--matter-060512.html. Retrieved on: 5 June 2012. Adapted.
In the text, the word in bold-face type is similar to the one in italics in
Provas
Stanford physicists make new form of matter
The laser-cooled quantum gas opens exciting new
realms of unconventional superconductivity.
By Max McClure
Stanford University News
Within the exotic world of macroscopic quantum
effects, where fluids flow uphill, wires conduct without
electrical resistance and magnets levitate, there is an
even stranger family of “unconventional” phenomena:
strongly interacting fermions, a class of particles that
are often very difficult to understand on the quantum
level. These materials often defy explanation by
current theoretical physics, but hold enormous
promise for the development of futuristic technologies
as room-temperature superconductors, ultrasensitive
microscopes and quantum computation.
Last week the scientific world was appalled when
a Stanford team made the announcement in Physical
Review Letters that they had created the world’s first
dipolar quantum fermionic gas– “an entirely new
form of quantum matter,” as Stanford applied physics
Professor and lead author Benjamin Lev puts it. Lev
affirmed that this development represents a major
step toward understanding the behavior of these
systems of particles. Until now, research efforts had
focused on cooling bosons – fundamentally different
from fermions, and much easier to work with. But
now the Stanford team extended these techniques to
gases made of the most magnetic atom: a fermionic
isotope of dysprosium with magnetic energies 4
times larger than previously cooled gases.
He explained that when the thermal energy of
some substances drops below a certain critical point,
it used to be impossible to consider its component
particles separately since the material becomes
strongly correlated and its quantum effects become
difficult to understand and study. Nevertheless,
making the material out of a gas of atoms allows it
to become visible. These quantum gases, the coldest
objects known to man, are where researchers can
observe zero-viscosity fluids – superfluids – that are
mathematical cousins of superconductors.
Thus far, the result of the Lev lab’s high-tech efforts
is a tiny ball of ultracold quantum dipolar fluid. But the
researchers have reason to believe that the humble
substance will exhibit the seemingly contradictory
characteristics of both crystals and superfluids. This
combination could lead to quantum liquid crystals.
Or it could yield a supersolid – a hypothetical state
of matter that would, in theory at least, be a solid with
superfluid characteristics.
The researchers have already begun developing a
microscope to make use of the dipolar quantum fluid’s
unique characteristics. It is the “cryogenic atom chip
microscope”, a magnetic probe that should measure
magnetic fields with unprecedented sensitivity and
resolution. “This kind of probe may even allow for a
more stable form of quantum computation that uses
exotic quantum matter to process information, known
as a topologically protected quantum computer”,
said Lev. “So this new approach is really incredibly
exciting.”
Available at: http://news.stanford.edu/news/2012/june/lev-new--matter-060512.html. Retrieved on: 5 June 2012. Adapted.
In the second paragraph of the text, it is clear that
Provas
Stanford physicists make new form of matter
The laser-cooled quantum gas opens exciting new
realms of unconventional superconductivity.
By Max McClure
Stanford University News
Within the exotic world of macroscopic quantum
effects, where fluids flow uphill, wires conduct without
electrical resistance and magnets levitate, there is an
even stranger family of “unconventional” phenomena:
strongly interacting fermions, a class of particles that
are often very difficult to understand on the quantum
level. These materials often defy explanation by
current theoretical physics, but hold enormous
promise for the development of futuristic technologies
as room-temperature superconductors, ultrasensitive
microscopes and quantum computation.
Last week the scientific world was appalled when
a Stanford team made the announcement in Physical
Review Letters that they had created the world’s first
dipolar quantum fermionic gas– “an entirely new
form of quantum matter,” as Stanford applied physics
Professor and lead author Benjamin Lev puts it. Lev
affirmed that this development represents a major
step toward understanding the behavior of these
systems of particles. Until now, research efforts had
focused on cooling bosons – fundamentally different
from fermions, and much easier to work with. But
now the Stanford team extended these techniques to
gases made of the most magnetic atom: a fermionic
isotope of dysprosium with magnetic energies 4
times larger than previously cooled gases.
He explained that when the thermal energy of
some substances drops below a certain critical point,
it used to be impossible to consider its component
particles separately since the material becomes
strongly correlated and its quantum effects become
difficult to understand and study. Nevertheless,
making the material out of a gas of atoms allows it
to become visible. These quantum gases, the coldest
objects known to man, are where researchers can
observe zero-viscosity fluids – superfluids – that are
mathematical cousins of superconductors.
Thus far, the result of the Lev lab’s high-tech efforts
is a tiny ball of ultracold quantum dipolar fluid. But the
researchers have reason to believe that the humble
substance will exhibit the seemingly contradictory
characteristics of both crystals and superfluids. This
combination could lead to quantum liquid crystals.
Or it could yield a supersolid – a hypothetical state
of matter that would, in theory at least, be a solid with
superfluid characteristics.
The researchers have already begun developing a
microscope to make use of the dipolar quantum fluid’s
unique characteristics. It is the “cryogenic atom chip
microscope”, a magnetic probe that should measure
magnetic fields with unprecedented sensitivity and
resolution. “This kind of probe may even allow for a
more stable form of quantum computation that uses
exotic quantum matter to process information, known
as a topologically protected quantum computer”,
said Lev. “So this new approach is really incredibly
exciting.”
Available at: http://news.stanford.edu/news/2012/june/lev-new--matter-060512.html. Retrieved on: 5 June 2012. Adapted.
According to the text, fermions
Provas
Em um grande campo, há nove torres e cada uma delas deve ser conectada às demais por meio de cabos.
Se a conexão entre duas torres quaisquer sempre fizer uso de exatamente 20 cabos, quantos cabos serão necessários para ligar todas as nove torres entre si?Provas
bilhões: expresso Terra lotado
Um menino pobre nascido em outubro de 2011,
na Índia, pode imprimir um novo marco na história,
por ser o sétimo bilionésimo habitante do planeta.
Todas as estatísticas convergem: o país tem o maior
número de nascimentos no mundo – 27 milhões por
ano – e a incidência natural de nascimentos por sexo,
na região, favorece os meninos. Em 2018, a Índia de-
terá o “inacreditável” título de país mais populoso do
mundo, à frente da China.
O expresso Terra está lotado, mas é preciso dar
“mais um passinho à frente” para acomodar 9 bilhões
em 2030. Como vamos fazer isso?
Todas as gerações tiveram o seu “profeta do apo-
calipse” demográfico. Porém a grande crise não che-
ga, e a contagem aumenta, ano após ano, atualizan-
do a pergunta recorrente: até quando? Não há limite?
Quanta gente cabe no mundo? Afinal, há apenas
anos o planeta possuía 6 bilhões de habitantes. Há
100, em 1911, éramos somente 1,6 bilhão.
Uma resposta à ansiedade pode ser “9 bilhões”.
Segundo a ONU, a população mundial deverá estabi-
lizar-se em torno de 2050, atingindo o equilíbrio entre
nascimentos e mortes, com uma população entre
bilhões e 10,5 bilhões de habitantes - se não houver
imprevistos. A melhor aposta é 9 bilhões, em 2045.
Depois desse patamar, os números deverão começar
a diminuir, uma vez que o crescimento já estagnou na
maioria dos países em desenvolvimento.
O problema será organizar 9 bilhões. Sete bi-
lhões já dão trabalho. “É óbvio que, quanto mais
gente existir, maiores serão os impactos ambientais
e sociais”, diz o biólogo Paul Ehrlich, da Universidade
Stanford, nos Estados Unidos. “Os 2 bilhões a mais
até 2050 gerarão muito mais dano ambiental do que
os últimos 2 bilhões agregados, porque os padrões
de consumo são mais intensivos”, ressalta.
Mas o olhar pessimista também pode ser inver-
tido, e o crescimento demográfico ser visto como
sinal de prosperidade. A mortalidade infantil declina
e a expectativa de vida aumenta na maior parte dos
países. O esgoto, o saneamento e o tratamento da
água corrigiram a incubação de pestes e doenças
nas cidades, como tifo e cólera. A higiene e os anti-
bióticos elevaram a expectativa de vida europeia de
anos, em 1800, para 77 anos, em 2010. Apesar
da desigualdade do desenvolvimento tecnológico,
depois da Segunda Guerra Mundial os antibióticos e
a Revolução Verde ampliaram enormemente os po-
deres da medicina e da agricultura. A biotecnologia e
os alimentos processados industrialmente tornaram
os surtos de fome “nacionais” mais raros, mesmo am-
pliando o risco de epidemias, como a da vaca louca,
em 1992. Além disso, o crescimento econômico vem
aumentando a prosperidade dos países.
Com tanto crescimento, a espaçonave Terra
está cada vez mais pesada. Os cálculos indicam que
o consumo global ultrapassou a capacidade de rege-
neração do planeta em 1987 e, se continuarmos no
ritmo atual, a humanidade precisará de dois planetas.
Para os ambientalistas, a demanda econômica está
erodindo o solo, esgotando a água, poluindo a atmos-
fera e gerando montanhas de lixo cada vez maiores.
A espécie humana talvez seja uma “praga” sobre a
Terra.
ARNT, Ricardo. 7 bilhões: expresso Terra lotado Revista Planeta. São Paulo: Editora Três. jun. 2011, ano 39, n. 465. p. 22-28. Adaptado
No trecho “Os 2 bilhões a mais até 2050 gerarão muito mais dano ambiental do que os últimos 2 bilhões agregados, porque os padrões de consumo são mais intensivos” (l. 33-36), o termo destacado estabelece uma relação de causalidade entre as duas ideias que o compõem.
Essa mesma relação é expressa pelo termo ou expressão destacados em:Provas
Caderno Container