kamadasi no ato, yuuyaku to yakiagari to atusa wo kakuninsuru.

It is read:

かまだし の あと、ゆうやく と やきあがり と あつさ を かくにんする。

In normal Japanese writing, it would usually appear without spaces:

窯出しの後、釉薬と焼き上がりと厚さを確認する。

窯出し means taking something out of the kiln.

• 窯 = kiln
• 出し = taking out / removing

In pottery or ceramics contexts, 窯出し refers to the stage when the fired pieces are removed from the kiln. It is a very context-specific word used in ceramics, manufacturing, and crafts.

Here, の links the noun 窯出し to 後.

The pattern is:

Noun + の + 後 = after N

So:

• 窯出しの後 = after kiln removal
• more naturally in English, after taking it out of the kiln

Even though 窯出し comes from a verb-like idea, here it is being used as a noun, so の is the natural connector.

Here, 後 is read あと.

So 窯出しの後 is かまだしのあと.

In this pattern, N の 後, 後 commonly means after in a time sequence. It tells you that the checking happens after the kiln removal step.

と is being used to make a complete list of nouns.

So:

• 釉薬と焼き上がりと厚さ = the glaze, the firing result, and the thickness

This use of と is like and.

A useful comparison:

• A と B と C = A, B, and C — a full list
• A や B や C = A, B, C, and so on — examples, not necessarily a complete list

So と makes sense here because it sounds like these are the specific things that need to be checked.

Because the whole list is treated as one direct object.

The structure is:

A と B と C を 確認する

That means confirm/check A, B, and C.

Japanese often puts the particle only once, after the entire noun list, instead of after each noun. So this is completely normal.

焼き上がり refers to how something has turned out after firing.

It does not just mean the act of baking or firing. It means the finished result or final condition after firing.

In a pottery context, this could include things like:

• the final look
• the color after firing
• the surface result
• whether the piece came out as expected

So 焼き上がり is a very natural word in ceramics for the outcome of the firing process.

Because the sentence needs a noun, not an adjective.

• 厚い = thick
• 厚さ = thickness

The ending -さ often turns an adjective into a noun expressing a measurable quality:

• 高い → 高さ = height
• 長い → 長さ = length
• 厚い → 厚さ = thickness

So 厚さを確認する means check the thickness.

確認する means to check, to confirm, or to verify.

In this sentence, it sounds a little more formal and procedural than a casual verb like 見る.

So 確認する suggests:

• checking carefully
• verifying that something is correct
• inspecting according to a process or standard

That makes it a very natural choice in instructions, manuals, or work procedures.

The dictionary form is often used in:

• manuals
• written procedures
• step-by-step process descriptions
• neutral explanatory writing

So this sentence may sound like:

• a procedure step
• a technical instruction
• a description of what one does in this process

If it were spoken politely, you might hear 確認します instead. But 確認する is very common in instructional or textbook-style Japanese.

Japanese often leaves out the subject when it is obvious from context.

So the sentence does not explicitly say:

• I check
• we check
• the worker checks
• you should check

The context decides that.

In a work manual, it may feel like an instruction: check ... In a process description, it may mean: one checks ... or the worker checks ...

This kind of omission is extremely common in Japanese.

No. Standard Japanese normally does not use spaces between words.

So the usual written form is:

窯出しの後、釉薬と焼き上がりと厚さを確認する。

The spaced version is usually just for learners, readability, or language study materials.