An animal that will be affected by climate change is polar bears. As they are already currently being affected by climate change it puts them at a disadvantage with survival. Polar bears already aren't doing well as their food supply is also limited (seals).Climate change is affecting the habitat and the environment with warmer temperatures in the Arctic causing the melting of ice. Polar bears are on the verge of extinction if climate change continues to worsen.
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Answer:
The Gram-Schmidt process and the modified Gram-Schmidt process are two numerical methods for computing an orthonormal basis for a given set of vectors. An orthonormal basis is a set of vectors that are mutually orthogonal (perpendicular) and have a length of 1.
The Gram-Schmidt process involves iteratively orthogonalizing the original set of vectors, creating a new orthonormal basis. The modified Gram-Schmidt process is similar, but instead of orthogonalizing each vector with respect to all previous vectors, it orthogonalizes each vector with respect to the immediately preceding vector.
One advantage of the Gram-Schmidt process is that it is straightforward and easy to implement. However, it is prone to numerical instability when dealing with very large or very small vectors, which can lead to significant errors in the resulting orthonormal basis.
The modified Gram-Schmidt process is more stable numerically than the Gram-Schmidt process, making it less prone to errors. Additionally, it can be more efficient computationally. However, it is also more complex to implement than the Gram-Schmidt process, and it can be more difficult to analyze its numerical properties.
In summary, the Gram-Schmidt process is a simple and widely used method for computing an orthonormal basis, but it can suffer from numerical instability. The modified Gram-Schmidt process is a more stable and efficient alternative, but it is also more complex to implement and analyze.