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    Mary Kate Carr
    January 29, 2018 at 09:28 AM EST

    After only one woman won a Grammy in a major category Sunday night (Alessia Cara for Best New Artist), Recording Academy president Neil Portnow had a controversial opinion when asked about changing the status quo.

    “I think it has to begin with women who have the creativity in their hearts and souls — who want to be musicians, who want to be engineers, who want to be producers, who want to be part of the industry on the executive level — to step up,”Portnow told Variety after the program, as #GrammysSoMale trended on Twitter.

    “Because I think they would be welcome,” he continued. “I don’t have personal experience of those kinds of brick walls that you face, but I think it’s really a combination. Us as an industry making the welcome mat very obvious, creating mentorships, creating opportunities not only for women but all people who want to be creative and really paying it forward and creating that next generation of artists who feel like they can do anything, they can say anything.”

    A similar formula can be written for the sum of two vector quadratics: If x , y , z are vectors of length k , and A and B are symmetric , invertible matrices of size k × k {\displaystyle k\times k} , then

    Note that the form x A x is called a quadratic form and is a scalar :

    In other words, it sums up all possible combinations of products of pairs of elements from x , with a separate coefficient for each. In addition, since x i x j = x j x i {\displaystyle x_{i}x_{j}=x_{j}x_{i}} , only the sum a i j + a j i {\displaystyle a_{ij}+a_{ji}} matters for any off-diagonal elements of A , and there is no loss of generality in assuming that A is symmetric . Furthermore, if A is symmetric, then the form x A y = y A x . {\displaystyle \mathbf {x} '\mathbf {A} \mathbf {y} =\mathbf {y} '\mathbf {A} \mathbf {x} .}

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    What is bronchiectasis?

    Bronchiectasis is a chronic disease of the lungs . It is caused by repeated damage to the airways of the lungs (bronchi), often as a result of lung infections.

    The risk of bronchiectasis increases with age and is twice as common in women as in men. In children, however, boys are more at risk than girls.

    Lungs

    The pair of organs in the chest responsible for breathing.

    Bronchiectasis is the result of a cycle of infection and inflammation . Repeated lung infections cause episodes of inflammation in the lung airways (bronchi). These gradually cause damage and as damage builds up, the airways become wide and riddled with scar tissue.

    Many organs and tissues of our body have glands that secrete mucus . This watery substance forms layers that keep the linings of our internal organs moist; it also helps trap and remove harmful foreign substances and microbes .

    Mucus is always found inside the airways of the lung, and is cleared away by the movement of cilia - microscopic hairs on the cells that line the airways. When these cells are damaged by inflammation and scarring, mucus is not cleared away fast enough and starts accumulating inside the airways.

    This mucus layer provides good breeding grounds for infecting bacteria or fungi. Thus, a new cycle of infection and inflammation starts, which makes the situation worse.

    In about half of bronchiectasis cases, the cause is unknown. Causes and risk factors for bronchiectasis include: [1] [2] [3]

    Bacteria

    Microscopic, single-celled organisms with DNA but no definite nucleus. Bacteria are the cause of many human diseases.

    Congenital

    Present from birth.

    Fungus

    An organism from the fungi kingdom, which is a separate group to plants or animals, and includes yeasts, molds and mushrooms. Fungi feed on organic matter.

    Glands

    Any organ of the body that secretes substances, such as hormones or enzymes, that are used by other parts of the body.

    Infection

    Entry into the body of microorganisms that can reproduce and cause disease.

    Inflammation

    A body’s protective immune response to injury or infection. The accumulation of fluid, cells and proteins at the site of an infection or physical injury, resulting in swelling, heat, redness, pain and loss of function.

    Inflammatory bowel disease

    A group of conditions characterized by chronic, episodic inflammation of the bowels, including Crohn's disease and ulcerative colitis.

    Lungs

    The pair of organs in the chest responsible for breathing.

    Mucus

    A thick, viscous liquid that is secreted for lubrication and to form a protective lining over certain tissues.

    Microbes

    A microorganism, such as bacteria or fungi, that can cause disease.

    1. McDonnell, M.J., Ward, C., Lordan, J.L., et al. (2013) Non-cystic fibrosis bronchiectasis. QJM: An International Journal of Medicine 106:709–715.

    2. Boyton, R.J. (2012) Bronchiectasis. Medicine 40:267–272.

    3. Barker, A.F. (2002) Bronchiectasis. New England Journal of Medicine 346:1383–1393.

    Signs and symptoms of bronchiectasis include: [1] [2]

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