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In a lot of computational math, operations research, such as algorithm design for optimization problems and the like, authors like to use $$\langle \cdot, \cdot \rangle$$ as opposed to $$(\cdot)^T (\cdot)$$

Even when the space is clearly Euclidean and the operation is clearly the dot product. What is the benefit or advantage for doing so? Is it so that the notations generalize nicely to other spaces?

Update: Thank you for all the great answers! Will take a while to process...

In a lot of computational math, operations research, such as algorithm design for optimization problems and the like, authors like to use $$\langle \cdot, \cdot \rangle$$ as opposed to $$(\cdot)^T (\cdot)$$

Even when the space is clearly Euclidean and the operation is clearly the dot product. What is the benefit or advantage for doing so? Is it so that the notations generalize nicely to other spaces?

In a lot of computational math, operations research, such as algorithm design for optimization problems and the like, authors like to use $$\langle \cdot, \cdot \rangle$$ as opposed to $$(\cdot)^T (\cdot)$$

Even when the space is clearly Euclidean and the operation is clearly the dot product. What is the benefit or advantage for doing so? Is it so that the notations generalize nicely to other spaces?

Update: Thank you for all the great answers! Will take a while to process...

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Martin Sleziak
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In math writing, what is (are) What are the benefitbenefits of writing vector inner products as $\langle u, v\rangle$ as opposed to $u^T v$ for vector inner products?

In a lot of computational math, operations research, such as algorithm design for optimization problems and the like, authors like to use

$\langle \cdot, \cdot \rangle$

$$\langle \cdot, \cdot \rangle$$ as opposed to

$\cdot^T \cdot$ $$(\cdot)^T (\cdot)$$

Even when the space is clearly Euclidean and the operation is clearly the dot product. What is the benefit/advantage or advantage for doing so? Is it so that the notations generalize nicely to other spaces?

In math writing, what is (are) the benefit of writing $\langle u, v\rangle$ as opposed to $u^T v$ for vector inner products?

In a lot of computational math, operations research, such as algorithm design for optimization problems and the like, authors like to use

$\langle \cdot, \cdot \rangle$

as opposed to

$\cdot^T \cdot$

Even when the space is clearly Euclidean and the operation is clearly the dot product. What is the benefit/advantage for doing so? Is it so that the notations generalize nicely to other spaces?

What are the benefits of writing vector inner products as $\langle u, v\rangle$ as opposed to $u^T v$?

In a lot of computational math, operations research, such as algorithm design for optimization problems and the like, authors like to use $$\langle \cdot, \cdot \rangle$$ as opposed to $$(\cdot)^T (\cdot)$$

Even when the space is clearly Euclidean and the operation is clearly the dot product. What is the benefit or advantage for doing so? Is it so that the notations generalize nicely to other spaces?

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Coco Jambo
Coco Jambo
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