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Seja T = R2 → R2 uma transformação linear cuja matriz, em relação às bases canônicas, é
Considere as seguintes afirmativas:
1. O núcleo N(T) = {v ∈ R2; Tv = 0 } contém apenas o vetor nulo.
2. A transformação T é sobrejetiva.
3. A transformação T possui dois autovalores distintos.
4. A transformação T é diagonalizável.
Assinale a alternativa correta.
Com relação aos anagramas da palavra ITAIPU, identifique como verdadeiras (V) ou falsas (F) as seguintes afirmativas:
( ) Há 360 anagramas distintos.
( ) Há 30 anagramas distintos em que as duas consoantes estão juntas.
( ) Há 24 anagramas que começam e terminam com a letra I.
( ) Há 200 anagramas em que as letras I estão separadas.
Assinale a alternativa que apresenta a sequência correta, de cima para baixo.
Computer that reads body language
Researchers at Carnegie Mellon University’s Robotics Institute have enabled a computer to understand body poses and movements of multiple people from video in real time – including, for the first time, the pose of each individual’s hands and fingers.
Carnegie Mellon University researchers have developed methods to detect the body pose, including facial expressions and hand positions, of multiple individuals. This enables computers to not only identify parts of the body, but to understand how they are moving and positioned.
This new method was developed with the help of the Panoptic Studio, a two-story dome embedded with 500 video cameras. The insights gained from experiments in that facility now make it possible to detect the pose of a group of people using a single camera and a laptop computer.
Yaser Sheikh, associate professor of robotics, said these methods for tracking 2-D human form and motion open up new ways for people and machines to interact with each other, and for people to use machines to better understand the world around them. The ability to recognize hand poses, for instance, will make it possible for people to interact with computers in new and more natural ways, such as communicating with computers simply by pointing at things.
Detecting the nuances of nonverbal communication between individuals will allow robots to serve in social spaces, allowing robots to perceive what people around them are doing, what moods they are in and whether they can be interrupted. A self-driving car could get an early warning that a pedestrian is about to step into the street by monitoring body language. In sports analytics, real-time pose detection will make it possible for computers not only to track the position of each player on the field of play, as is now the case, but to also know what players are doing with their arms, legs and heads at each point in time. The methods can be used for live events or applied to existing videos.
“The Panoptic Studio supercharges our research”, Sheikh said. It now is being used to improve body, face and hand detectors by jointly training them. Also, as work progresses to move from the 2-D models of humans to 3-D models, the facility’s ability to automatically generate annotated images will be crucial.
When the Panoptic Studio was built a decade ago with support from the National Science Foundation, it was not clear what impact it would have, Sheikh said.
“Now, we’re able to break through a number of technical barriers primarily as a result of a grant 10 years ago”, he added. “We’re sharing the code, but we’re also sharing all the data captured in the Panoptic Studio”.
(Disponível: <https://www.sciencedaily.com/releases/2017/07/170706143158.htm>