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Advanced Micro Devices
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Occidental Petroleum
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On Friday, December 20th, Tesla's pre-market recap chart geometric analysis formula.
The most glorious day in a person's life is not the day of success, but the day when the desire to challenge life emerges from lament and despair, and bravely steps towards that challenge. - Gustave Flaubert
In a person's life, the most glorious day is not the day when he becomes famous, but the day when the desire to challenge life arises from lamentation and despair, and the day when he bravely steps towards this challenge. ——Flaubert
The row rank and column rank of a matrix are equal, an important part of the fundamental theorem of linear algebra. The basic proof idea is that a matrix can be seen as the transformation matrix of a linear mapping, where the column rank is the dimension of the image space, and the row rank is the dimension of the non-zero preimage space. Therefore, the column rank is equal to the row rank, which means the dimension of the image space is equal to the dimension of the non-zero preimage space (here, the non-zero preimage space refers to the quotient space obtained after removing the zero space: the preimage space). This can be seen from the matrix singular value decomposition.
Provide two proofs of this result. The first proof is brief, using only the basic properties of linear combinations of vectors. The second proof utilizes orthogonality. The first proof relies on the basis of the column space, while the second proof relies on the basis of the row space. The first proof is applicable to matrices defined over a scalar field, the second proof is applicable to inner product spaces. Both are suitable for real or complex Euclidean spaces, and are easily modified to prove when A is a linear transformation.
Do not dwell on the past, do not worry about the present, do not be anxious about the future, only then can one live a relaxed and comfortable life.
I used to only know what I liked, but now I know what I need.
The sight of others' bloodshed is not as unforgettable as a slight scratch on one's own finger.
There are two manifestations of people lacking confidence: fearing attention or fearing being ignored.
Do not try to persuade those who persist in moving forward in the face of darkness, do you really think they are blind?
Don't correct the past, don't mess up the present, and don't worry about the future, so that you can live a relaxed life.
Before I only knew what I liked, but now I know what I need.
His (her) person's blood is not as unforgettable as a scrape on his own finger.
People who are not confident have two manifestations, one is afraid of being noticed; the other is afraid that they will not be noticed.
Don't try to persuade those people who are still persistently moving forward when the road ahead is dark, do you really think they are blind?
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成熟投资者：格局，概率，取舍。没有格局必然急功近利。不计概率会把运气当技术。不懂取舍，有所不为，最后必落入陷阱和圈套。
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