C1 Expression フォーマル 3分で読める

Kernel-Dichteschätzung verwendet eine Glättungsfunktion

Kernel density estimation uses a smoothing function

15秒でわかる

  • A technical way to describe smoothing out messy data points.
  • Used primarily in statistics, data science, and academic research.
  • Combines complex compound nouns to describe a mathematical process.

意味

It describes a statistical method where you turn a bunch of messy data points into a smooth, readable curve using a specific mathematical tool.

主な例文

3 / 6
1

Presenting data at a tech meeting

Die Kernel-Dichteschätzung verwendet eine Glättungsfunktion, um das Rauschen zu reduzieren.

Kernel density estimation uses a smoothing function to reduce the noise.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
2

Writing a scientific paper

In dieser Studie verwendet die Kernel-Dichteschätzung eine Gaußsche Glättungsfunktion.

In this study, kernel density estimation uses a Gaussian smoothing function.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
3

Explaining a graph to a student

Schau mal, die Kernel-Dichteschätzung verwendet eine Glättungsfunktion für diese Kurve.

Look, the kernel density estimation uses a smoothing function for this curve.

🌍

文化的背景

In German engineering, precision in terminology is a sign of competence. Using the full term instead of abbreviations is preferred in formal reports. German universities have a long tradition in statistics (e.g., Gauss). Technical terms are often highly descriptive compound nouns. While English is the lingua franca, German data scientists often use the German term in official documentation to comply with local standards. Swiss German speakers use the same technical terms in high German, but might have a different 'Melodie' when saying them.

🎯

Master the 'Fugen-s'

In 'Glättungsfunktion', the 's' connects the two words. It's a common feature in German compounds.

⚠️

Don't forget the article

Technical terms in German almost always require a definite or indefinite article.

15秒でわかる

  • A technical way to describe smoothing out messy data points.
  • Used primarily in statistics, data science, and academic research.
  • Combines complex compound nouns to describe a mathematical process.

What It Means

Imagine you have a scatter plot that looks like a swarm of bees. It is hard to see the pattern. Kernel-Dichteschätzung is like taking a magnifying glass that blurs the individual bees. This blur creates a smooth shape. That shape shows you where the bees are most crowded. The Glättungsfunktion is the actual tool that does the blurring. It turns jagged data into a clean wave. In English, we call this Kernel Density Estimation (KDE).

How To Use It

You use this phrase when you are talking about data. It is a very technical sentence. You treat Kernel-Dichteschätzung as the subject. It is a feminine noun, so we use die. The verb verwendet means 'uses' or 'employs'. You can say this when explaining your methodology in a report. It sounds very professional and precise. You might even sound like a data scientist at a cool Berlin startup.

When To Use It

Use this in a university lecture or a business meeting. It is perfect for presentations about statistics or machine learning. If you are writing a master's thesis in Germany, this is gold. You can also use it when debating data visualization with colleagues. It shows you understand the math behind the pretty graphs. It is a great way to justify why your graph looks so smooth.

When NOT To Use It

Do not use this at a bar while ordering a beer. The bartender will look at you very strangely. Do not use it to describe ironing your clothes. Even though Glättungsfunktion sounds like 'smoothing function', it is strictly for math. If you try to 'smooth' a physical object with this phrase, people will laugh. It is too heavy for casual small talk about the weather. Keep it in the office or the classroom.

Cultural Background

Germans love precision and technical terms. We have a word for everything, especially in science. This phrase is a classic example of a German compound noun. Dichteschätzung combines 'density' and 'estimation'. Germans take pride in using the exact right term for the job. In the German tech scene, using the full German term instead of the English 'KDE' shows high linguistic competence. It reflects the deep academic roots of German engineering culture.

Common Variations

You might hear people just say KDE because English is common in tech. Sometimes they say Kern-Dichteschätzung instead of Kernel. Another variation is talking about the Bandbreite or bandwidth. This is the setting that controls how much smoothing happens. If the curve is too flat, your Glättungsfunktion is too strong. If it is too wiggly, it is too weak. Finding the balance is an art form in itself.

使い方のコツ

This is a high-level academic and professional expression. It is grammatically straightforward but requires a specific context to make sense. Avoid using it in casual settings unless you are making a joke about being a 'nerd'.

🎯

Master the 'Fugen-s'

In 'Glättungsfunktion', the 's' connects the two words. It's a common feature in German compounds.

⚠️

Don't forget the article

Technical terms in German almost always require a definite or indefinite article.

例文

6
#1 Presenting data at a tech meeting
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Die Kernel-Dichteschätzung verwendet eine Glättungsfunktion, um das Rauschen zu reduzieren.

Kernel density estimation uses a smoothing function to reduce the noise.

This explains why the data looks cleaner than the raw input.

#2 Writing a scientific paper
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

In dieser Studie verwendet die Kernel-Dichteschätzung eine Gaußsche Glättungsfunktion.

In this study, kernel density estimation uses a Gaussian smoothing function.

Specifying the type of function (Gaussian) adds even more precision.

#3 Explaining a graph to a student

Schau mal, die Kernel-Dichteschätzung verwendet eine Glättungsfunktion für diese Kurve.

Look, the kernel density estimation uses a smoothing function for this curve.

A helpful explanation of a visual element in a chart.

#4 A nerd joke among data scientists
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

Ich wünschte, mein Leben verwendet eine Glättungsfunktion wie die Kernel-Dichteschätzung.

I wish my life used a smoothing function like kernel density estimation.

A humorous way to say you want to smooth out life's problems.

#5 Texting a colleague about a bug
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

Der Fehler liegt dort, wo die Kernel-Dichteschätzung eine Glättungsfunktion aufruft.

The error is where the kernel density estimation calls a smoothing function.

Using technical terms to pinpoint a specific line of code.

#6 Discussing emotional volatility metaphorically
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M4.318 6.318a4.5 4.5 0 000 6.364L12 20.364l7.682-7.682a4.5 4.5 0 00-6.364-6.364L12 7.636l-1.318-1.318a4.5 4.5 0 00-6.364 0z"/></svg>

Nach dem Streit verwendet unsere Beziehung hoffentlich bald eine Glättungsfunktion.

After the argument, I hope our relationship uses a smoothing function soon.

Using math terms to describe calming down an emotional situation.

自分をテスト

Füllen Sie die Lücken mit den richtigen Artikeln und Endungen.

____ Kernel-Dichteschätzung verwendet ____ Glättungsfunktion.

✓ 正解! ✗ おしい! 正解: Die / eine

Sowohl 'Schätzung' als auch 'Funktion' sind feminin.

Welches Wort passt am besten in einen wissenschaftlichen Kontext?

{die|f} Kernel-Dichteschätzung ____ {eine|f} Glättungsfunktion.

✓ 正解! ✗ おしい! 正解: verwendet

'Verwenden' ist der formelle Standard in der Wissenschaft.

Verbinden Sie die Begriffe mit ihrer Bedeutung.

Begriffe: 1. Kernel, 2. Dichte, 3. Glättung

✓ 正解! ✗ おしい! 正解: 1-C, 2-A, 3-B

Dies sind die Grundbausteine des Fachbegriffs.

🎉 スコア: /3

ビジュアル学習ツール

Histogram vs. KDE

Histogramm
Balken Bars
Diskret Discrete
KDE
Kurve Curve
Kontinuierlich Continuous

練習問題バンク

3 問題
Füllen Sie die Lücken mit den richtigen Artikeln und Endungen. Fill Blank B2

____ Kernel-Dichteschätzung verwendet ____ Glättungsfunktion.

✓ 正解! ✗ おしい! 正解: Die / eine

Sowohl 'Schätzung' als auch 'Funktion' sind feminin.

Welches Wort passt am besten in einen wissenschaftlichen Kontext? Choose B1

{die|f} Kernel-Dichteschätzung ____ {eine|f} Glättungsfunktion.

✓ 正解! ✗ おしい! 正解: verwendet

'Verwenden' ist der formelle Standard in der Wissenschaft.

Verbinden Sie die Begriffe mit ihrer Bedeutung. Match A2

左の各項目を右のペアと一致させてください:

✓ 正解! ✗ おしい! 正解: 1-C, 2-A, 3-B

Dies sind die Grundbausteine des Fachbegriffs.

🎉 スコア: /3

よくある質問

10 問

It's a loanword from English, but it's fully integrated into German technical vocabulary.

Yes, 'Kern' is the German translation of 'Kernel', but 'Kernel' is more common in modern data science.

It is feminine because the last part, 'Schätzung', is feminine.

When you want a continuous, smooth representation of your data distribution.

No, it is strictly for technical or academic contexts.

Using the wrong gender for the articles (der/das instead of die).

It is 'Glättungsfunktion'.

Yes, it is a formal way to say 'uses' or 'employs'.

Yes, 'nutzt' is a perfect synonym in this context.

It helps to separate the English loanword from the German compound for better readability.

関連フレーズ

🔗

{die|f} Bandbreite

specialized form

Bandwidth

🔗

{das|n} Histogramm

contrast

Histogram

🔗

{die|f} Wahrscheinlichkeitsverteilung

builds on

Probability distribution

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