Apple which lives and breathes new product development

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Apple which lives and breathes new product development

Apple which lives and breathes new product development

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Apple which lives and breathes new product development


Vitamin K is a fat-soluble vitamin necessary mainly for the formation of blood clots. Without this vitamin, bleeding would not stop. 

Vitamin K is given as an injection to newborns to prevent vitamin K deficiency bleeding, since the level of blood clotting factors of newborn babies are roughly 30–60% that of adult values. The reason for this discrepancy is due to poor transfer of the vitamin across the placenta, and thus low fetal plasma vitamin K.

Occurrence of vitamin K deficiency bleeding in the first week of the infant's life is estimated at 0.25–1.7%, with a prevalence of 2–10 cases per 100,000 births. Since the vitamin is found in human milk and supplemented in infant formula, the concentration of vitamin K naturally rises within th ...


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Apple which lives and breathes new product development
The Loretto staircase – built within the Loretto Chapel in New Mexico, USA – is by far the most remarkable staircase ever built. It features a double-helical spiral structure that spans 20 feet in altitude, and remains intact without the use of a central pole. The staircase is built mostly out of wood and is held together by wooden pegs and glue rather than nails or other hardware.

The staircase is venerated by Catholics as being miraculous, not due to its marvel, but based on the events that have been passed down by the Sisters of chapel ever since it was built in the late 1800s. Before the construction of the Chapel could be completed, the architect responsible for the building's design had suddenly died, leaving the nuns without access to ...


Construction staircase physics
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Apple which lives and breathes new product development


The Four Color Theorem is a famous mathematical theorem that states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary curve segment, not merely a corner where three or more regions meet. Unlike other proofs before its discovery, computers were used to resolve this long-standing mathematical conjecture that was first proposed in 1850 by Francis Guthrie. After more than a century later, mathematicians, Kenneth Appel and Wolfgang Haken, finally derived its proof in 1976, and determined that it is practicality impossible for humans to verify it without the use of a computer. According to the four color theorem, a ...


mathematics history proofs logic maps
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The statement that the plane cannot be drawn five areas so that any of them had a common border, it was expressed in 1840 by Möbius on one of his lectures. Möbius gave him the form of parables about the Eastern ruler, who traveled his kingdom of fi ...

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Apple which lives and breathes new product development


A defining features of learning mathematics is being able to read, write, and discover proofs. A proof is a method of communicating a mathematical truth to another person who speaks the "language" of mathematics. It's a way of showing whether a statement made is absolutely true or false.

I recently came across a fallacious proof attempting to show that the integer one equals two – shown are the steps to accomplish this. Common sense dictates that this is impossible, but the proof is somewhat convincing to the untrained eye. However, most people with basic algebraic knowledge should be able to pick out the mistake, so take a minute or two to see if you can identify the incorrect step. If you're stuck, don't give up so quickly! It's easier ...


Fallacies Division by zero
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It is very easy to prove 1 = 2, but we all know it is wrong. But, most of us don’t know how to prove it wrong. if you use different assumptions then 1 is not equal to 2.

Try solving this one

Apple which lives and breathes new product development

Apple which lives and breathes new product development
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Mathematics has always been a difficult and incomprehensible science for me. And after such discoveries, it increasingly seems to me that I didn’t learn anything at all at school. I often have derivatives calculus problems while doing homework. The ...

Apple which lives and breathes new product development
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Apple which lives and breathes new product development
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Apple which lives and breathes new product development


Birthmarks are congenital marks on the skin that appear at birth and occasionally disappears spontaneously. The term nevus refers to a benign cutaneous tumor consisting of blood capillaries. Such tumors, which rarely spread from their original site and are not dangerous, vary in color according to whether the capillaries composing them carry arterial or venous blood. The popularly termed cherry marks and port-wine stains (shown below) are nevi on a level with the surface of the skin. Certain other vascular nevi, commonly known as strawberry or raspberry marks (scientifically known as hemangiomas), are slightly elevated above the surface. These can appear anywhere on the body's surface, including the airway within the nose. The former Soviet ...


Birthmarks Genetics Strawberry hemangioma Rare conditions Skin condition
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Apple which lives and breathes new product development


What's the difference between a child with attention-deficit hyperactivity disorder (ADHD) and one who is simply more active than other children?Many children are rambunctious, to an extent that their parents or teachers find somewhat worrisome. Figuring out how to distinguish between normal high-energy levels and pathological overactivity can be quite difficult. Furthermore, the distinction can be complicated by parental tendencies to be permissive and to fail to set up clear rules, reprimands, or restrictions for when a child steps outside the limits.

Figuring out how to make this distinction is not a trivial issue. Children diagnosed with ADHD are usually prescribed methylphenidate (Ritalin) or other medications that lessen their activity ...


Psychology ADHD Mental Disorders Diagnosis
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I think it’s crime to give kids such medication because we don’t know what could cause as long term effect since kids at that age are still developing mentally and physically. Parents and teachers back then were so patient that they never conside ...

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