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Everything about Exponential object
Categorical generalization of a function space in set theory
In mathematics, specifically in category theory, an exponential object or map object is the categorical generalization of a function space in set theory. Categories with all finite products and exponential objects are called cartesian closed categories. Categories without adjoined products may still have an exponential law. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Exponential objectA 5-minute orientation
- Pick up a classic book: Physics for scientists and engineersThe most-reprinted book on the subject
- Read the landmark paper: Exponential Stability of Two Timoshenko Arms for Grasping and Manipulating an ObjectCited 9 times
- Go sideways: Representable functorA closely related topic
- Go sideways: Cartesian closed categoryA closely related topic
📖 Definitions
Noun An object which indexes a family of arrows between two given objects in a universal way, meaning that any other indexed family of arrows between the same given pair of objects must factor uniquely through this universally-indexed family of arrows.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Exponential Stability of Two Timoshenko Arms for Grasping and Manipulating an Object
Robust Object Selection in Spontaneous Gaze-Controlled Application Using Exponential Moving Average and Hidden Markov Model
Reconstruction of a vibrating object from its time-averaged image intensities by the use of exponential filtering
Narrowband Ultrasonic Hybrid Exponential Model and its Parameter Estimation for Object Location
Third- and Fifth-Order Geometric Aberrations in Magnetic Exponential Lens Model for Object Magnetic Immersion
Exponential decay of turbulence generated through Sierpinski tetrahedral object
On the topology of a dual object and exponential Lie groups
Hybrid Fossa Eel and Grouper Optimizer Enabled Deep Learning for Road Anomaly Object Detection with Exponential Logarithmic-KNet-Based Object Segmentation
📚 Books worth reading
Physics for scientists and engineersPaul A. Tipler, Gene Mosca · 1990
Structure and Interpretation of Computer Programs (SICP)Harold Abelson, Gerald Jay Sussman · 1985
Operations ManagementRoberta S. Russell, Bernard Taylor · 1998
The Elements of Statistical LearningTrevor Hastie, Robert Tibshirani · 2001- 📕Risk finance and asset pricingCharles S. Tapiero · 2010
Introduction to Probability and StatisticsJ. Susan Milton, Jesse C. Arnold · 1990
Building an EmpireBrian Carruthers · 2014
Wishful Thinking and Other Philosophical ReflectionsNicholas Rescher · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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