"Manifolds" Example Sentences
1. The importance of the study of manifolds lies in its wide applications in numerous fields.
2. The manifold of a car engine is a network of tubes and passages that distributes fuel and air.
3. The properties of manifolds are studied in the field of mathematics known as topology.
4. The number of dimensions of a manifold determines its properties and behavior.
5. The topology of a manifold determines its connectivity and curvature.
6. The study of manifolds is crucial to the field of quantum mechanics.
7. The use of manifolds has revolutionized the field of fluid dynamics.
8. The function of a manifold is to channel fluids or gases to their correct destination.
9. The construction of manifolds requires careful planning and precision engineering.
10. The geometric properties of manifolds allow for efficient optimization of certain functions.
11. The manifold on my car needs to be replaced due to a leak.
12. The designer used manifolds to create a complex network of fluid distribution in the machine.
13. The manifold theory was first proposed by mathematician Carl Friedrich Gauss.
14. The process of creating a manifold involves cutting and welding metal pipes or tubes.
15. The manifold of a hydraulic system ensures the equal distribution of pressure throughout the system.
16. The manifold of a pneumatic system allows compressed air to flow to different destinations.
17. The study of algebraic geometry is closely linked to the study of complex manifolds.
18. The purpose of a manifold in a steam engine is to distribute steam to the piston.
19. The structure of manifolds allows for the easy manipulation of large data sets.
20. The manifold of a chemical reactor determines the flow and distribution of reactants and products.
21. The different types of manifolds include exhaust manifolds, intake manifolds, and hydraulic manifolds.
22. The properties of manifolds allow us to model the behavior of complex systems such as weather patterns.
23. The use of manifolds in fluid power systems has led to increased efficiency and performance.
24. The study of Riemannian manifolds is a fundamental part of differential geometry.
25. The construction of a manifold involves connecting individual segments of pipe or tubing to form a network.
26. The design of a manifold system requires considering factors such as flow rate, pressure, and temperature.
27. The manifold of a turbocharged engine is designed to allow more air into the engine cylinders.
28. The mathematical properties of manifolds have applications in the study of quantum field theory.
29. The use of manifolds in the oil and gas industry has greatly improved the efficiency of oil extraction.
30. The joint distribution of a set of random variables can be represented as a manifold in high-dimensional space.
Common Phases
1. The engine intake manifold distributes air to the cylinders;
2. The exhaust manifold collects the exhaust gases and funnels them out through the exhaust system;
3. A hydraulic manifold directs fluid to different actuators in a hydraulic system;
4. A heat manifold evenly distributes heat throughout a building's HVAC system;
5. A fuel manifold distributes fuel to multiple engine cylinders;
6. A pneumatic manifold distributes compressed air to various pneumatic devices;
7. A water manifold controls the flow of water in a plumbing system;
8. A vacuum manifold controls the suction in a vacuum system;
9. A mechanical manifold redirects fluid flow in a mechanical system;
10. A balancing manifold ensures equal distribution of fluid in a multi-cylinder hydraulic system.