▲ 412 ▼ number box o number box (mander.xyz) submitted 1 year ago by fossilesque@mander.xyz to c/science_memes@mander.xyz 43 comments fedilink hide all child comments
[–] OpenStars@piefed.social 3 points 1 year ago (6 children) I mean... it also has to be linear too, but sure okay ☺️ permalink fedilink source hideshow 6 child comments replies: [–] verstra@programming.dev 8 points 1 year ago (1 child) What has to be linear? Vector?matrix? Tensor? Neither makes sense permalink fedilink source parent hideshow 1 child comment replies: [–] OpenStars@piefed.social 5 points 1 year ago You lost me at vectors not having to be linear. You can apply nonlinear functions or operations to vectors, but doing so transforms them into a different, non-linear context, afaik. We might be using different definitions of some of these terms, especially "linear". permalink fedilink source parent [–] NoneOfUrBusiness@fedia.io 1 point 1 year ago* (3 children) "Linear" describes transformations, not numbers. permalink fedilink source parent hideshow 3 child comments replies: [–] OpenStars@piefed.social 3 points 1 year ago (2 children) Isn't a tensor a multilinear map taking as input a tensor and outputting another tensor? permalink fedilink source parent hideshow 2 child comments replies: [–] Eq0@literature.cafe 3 points 1 year ago Also, but that is because math likes to reuse names like Donald Duck reuses his jacket… permalink fedilink source parent [–] NoneOfUrBusiness@fedia.io 2 points 1 year ago You just used "tensor" to define "tensor," but also any list of number formulated as an n-dimensional matrix will satisfy this criterion. A tensor is both a linear transformation and an n-dimensional box-shaped list of numbers, but there's nothing such as a linear list of numbers. permalink fedilink source parent
[–] verstra@programming.dev 8 points 1 year ago (1 child) What has to be linear? Vector?matrix? Tensor? Neither makes sense permalink fedilink source parent hideshow 1 child comment replies: [–] OpenStars@piefed.social 5 points 1 year ago You lost me at vectors not having to be linear. You can apply nonlinear functions or operations to vectors, but doing so transforms them into a different, non-linear context, afaik. We might be using different definitions of some of these terms, especially "linear". permalink fedilink source parent
[–] OpenStars@piefed.social 5 points 1 year ago You lost me at vectors not having to be linear. You can apply nonlinear functions or operations to vectors, but doing so transforms them into a different, non-linear context, afaik. We might be using different definitions of some of these terms, especially "linear". permalink fedilink source parent
[–] NoneOfUrBusiness@fedia.io 1 point 1 year ago* (3 children) "Linear" describes transformations, not numbers. permalink fedilink source parent hideshow 3 child comments replies: [–] OpenStars@piefed.social 3 points 1 year ago (2 children) Isn't a tensor a multilinear map taking as input a tensor and outputting another tensor? permalink fedilink source parent hideshow 2 child comments replies: [–] Eq0@literature.cafe 3 points 1 year ago Also, but that is because math likes to reuse names like Donald Duck reuses his jacket… permalink fedilink source parent [–] NoneOfUrBusiness@fedia.io 2 points 1 year ago You just used "tensor" to define "tensor," but also any list of number formulated as an n-dimensional matrix will satisfy this criterion. A tensor is both a linear transformation and an n-dimensional box-shaped list of numbers, but there's nothing such as a linear list of numbers. permalink fedilink source parent
[–] OpenStars@piefed.social 3 points 1 year ago (2 children) Isn't a tensor a multilinear map taking as input a tensor and outputting another tensor? permalink fedilink source parent hideshow 2 child comments replies: [–] Eq0@literature.cafe 3 points 1 year ago Also, but that is because math likes to reuse names like Donald Duck reuses his jacket… permalink fedilink source parent [–] NoneOfUrBusiness@fedia.io 2 points 1 year ago You just used "tensor" to define "tensor," but also any list of number formulated as an n-dimensional matrix will satisfy this criterion. A tensor is both a linear transformation and an n-dimensional box-shaped list of numbers, but there's nothing such as a linear list of numbers. permalink fedilink source parent
[–] Eq0@literature.cafe 3 points 1 year ago Also, but that is because math likes to reuse names like Donald Duck reuses his jacket… permalink fedilink source parent
[–] NoneOfUrBusiness@fedia.io 2 points 1 year ago You just used "tensor" to define "tensor," but also any list of number formulated as an n-dimensional matrix will satisfy this criterion. A tensor is both a linear transformation and an n-dimensional box-shaped list of numbers, but there's nothing such as a linear list of numbers. permalink fedilink source parent