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types

In mathematics, logic, and computer science, a type theory is a formal system in which every "term" has a "type". A "type" in type theory has a role similar to a "type" in a programming language: it dictates the operations that can be performed on a term and, for variables, the possible values it might be replaced with.
Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theories that were proposed as foundations are Alonzo Church's typed λ-calculus and Per Martin-Löf's intuitionistic type theory. Most computerized proof-writing systems use a type theory for their foundation. A common one is Thierry Coquand's Calculus of Inductive Constructions.
Type theory is closely related to, and in some cases overlaps with, type systems, which are a programming language feature used to reduce bugs and facilitate certain compiler optimizations. Because type theory and type systems can overlap, some experts use the phrase "type system" to refer to a specific formal system and the phrase "type theory" to refer to the academic study of them.

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  1. T

    Solvent welding different types of pvc

    Hello, Do different PVC pipes I.E PVC and muPVC weld directly together? Regards Tezzer
  2. pinkman

    Are pump types interchangeable?

    Hi there good people. I have a small issue, I've incorrectly connected a connecter on the PCB of my old boiler back to front, and seem to have broken my pump, since learning my mistake I have put it the right way, it is drawing out about half the current it should. To keep a long story short...
  3. System64

    Questions about types of pipe fittings

    Hi, I'm doing an automatic irrigation project with Arduino, which is connected to a solenoid valve which has male 3/4'' threading for water input and output (this solenoid valve - product page in Italian, sorry). I need to connect the output to a 16mm polyethylene pipe, and searching online I...
  4. M

    Pipe insulation & different types

    Hello Just put in new Hep2o pipework for CH system and now looking at insulating/lagging the pipework. There is quite a big jump from the basic polyethylene foam (70p/m) up to the Kingspan Kooltherm (468p/m) with quite a few options in between. Is it like going from single to double glazing...
    • Mjward
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    • america different insulation pipe types usa
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  5. plumbingdoctor

    What are the right types of pipes to be used in underground piping?

    Hello guys Any thought I installed underground pipes assume any code requirements in installing a pipe when the frost gets deep in winter. I'm using a PVC
    • plumbingdoctor
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  6. 1

    Types of systems available

    I was just pondering about my new system design, which will be fitted at the beginning of 2018. Is it possible to run an unvented cylinder with a vented system boiler? Just wondering as it has to be far less hassle/least likely to leak than a pressurised CH set up? I already have an unvented...
  7. W

    Couple of question for knowledgable types..

    What is this fella? Not seen one like it before. Custard wants a PRV fitted after stopcock (pictured on pipe on right) as pressure very high and neighbours in neighbouring flats have had them fitted. Is it ok to do so? I'm guessing it's just like a modern fortic? Apols for poor pic but it's...
  8. Chalked

    For you ocd types

    Does not bother me, but really bothers my neighbour. 5000 un read emails!!
  9. M

    pipe insulation types

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  10. M

    Nozzle types

    Can we clear this on up please? can you use an EH nozzle if you don't have an ES? If not, why? I know you should always replace with the same as the manufacturers say but is there any real reasons? i know some of you guys on here have ben oilers for years, I've Ben doing it a while but get so...
  11. B

    Smoke pellets

    Just bought some cheap smoke pellets and they are in g not m3 has anyone got chart what tells what g is in m3
  12. A

    Changing heating pump valve on boilermate

    Boilermate 2000 - I need to replace the right hand pump's isolating valve as it's leaking. I've no problem with physically fitting it but do I need to drain it right down first? I changed a sensor above the pump a while ago and just turned off the mains. Also should I replace it with the...
  13. R

    servicing gas types

    just booked a service in a few weeks time and realised its a park home more than likely on lpg (tbc). prob is i aint got lpg but daft as it seems, to service the boiler ie; fga it and empty out the condense trap is all it may need as the boiler is about 2 years old. wot you think?:blush5: any...
  14. P

    Boiler types

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  15. A

    Flow rate of main incoming tap different types of valve

    Hey all, I currently have a turn type valve on the incoming water supply, not the lever type. My plumber suggested changing it to a ball lever (full bore fitting) and it will be less resisitive so could help get our flow rate up. I have done a quick bit of research and assuming i have a gate...
    • allesclar
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    • Forum: Plumbing Jobs | The Job-board
  16. C

    Connecting motorised valves of different types, one powered off, one auto off

    I have a conventional CH/Hot water system with motorised valves that are both power to open power to shut types. We had a loft conversion done some years ago and the upstairs radiators had a hot feed tee'ed into to the system at the pump. This feed was controlled by a third valve which is...
    • ColinJL
    • Thread
    • connecting different downstairs motorised motorised valves power system types upstairs valve valves
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  17. S

    Radiator fittings types????

    Hi Guys, I'm just coming to the end of a refurb at home, and fitting a new rad in the dining room, but just noticed that the trv and lockshield are 15mm compression type fittings, which means I'll have to drain the whole system down if I need to take the rad off in future, instead of just...
  18. M

    Franke Tap Valve.

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  19. E

    Three types of people

    from the Guardian "As anyone lucky enough to be born in Yorkshire will proudly tell you, there are only three types of people in this world: Yorkshire people;those who wish to be Yorkshire people;and those with no ambition at all " :teeth_smile:
  20. N

    Common radiator types

    Hi. A bit of an unusual question but I am conducting a university project on domestic heating systems and I was wondering if anybody could give me an educated guess as to how common different types of radiators are? I can't model every possible type of radiator but I was thinking of...
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