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Everything about Additive inverse
Number that, when added to the original number, yields the additive identity
In mathematics, the additive inverse of an element x, denoted −x, is the element that when added to x, yields the additive identity. This additive identity is often the number 0 (zero), but it can also refer to a more generalized zero element. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Additive inverseA 5-minute orientation
- Skim a recent paper: Inverse design of self-rotating dual-platform biomimetic mechanical metamaterials via additive manufacturingInfluential work since 2022
- Pick up a classic book: A course in analytic number theoryThe most-reprinted book on the subject
- Read the landmark paper: Some additive results on Drazin inverseCited 139 times
- Go sideways: Negative numberA closely related topic
- Go sideways: Binary operationA closely related topic
📖 Definitions
Noun The inverse with respect to addition; the opposite.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Some additive results on Drazin inverse
New additive results for the g-Drazin inverse
Additive results for the generalized Drazin inverse
Capacity of the Memoryless Additive Inverse Gaussian Noise Channel
Inverse design of multi-material gyroid structures made by additive manufacturing
Additive perturbation results for the Drazin inverse
New additive results for the generalized Drazin inverse
A note on additive results for the Drazin inverse
🆕 Influential since 2022
Inverse design of self-rotating dual-platform biomimetic mechanical metamaterials via additive manufacturing
Process-structure multi-objective inverse optimisation for additive manufacturing of lattice structures using a physics-enhanced data-driven method
Inverse design and additive manufacturing of shape-morphing structures based on functionally graded composites
Inverse Rendering for Tomographic Volumetric Additive Manufacturing
Experimental assessment of noise robustness of the forward-additive, symmetric-additive and the inverse-compositional Gauss-Newton algorithm in digital image correlation
📚 Books worth reading
- 📕A course in analytic number theoryMarius Overholt · 2014
- 📕Ramanujan 125Krishnaswami Alladi, Frank Garvan · 2014
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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