C1 Expression बहुत औपचारिक 2 मिनट पढ़ने का समय

Nichtparametrische Dichteschätzung erfolgte mittels

Nonparametric density estimation was performed using

शाब्दिक अर्थ: Non-parametric density-estimation occurred by-means-of

15 सेकंड में

  • Academic phrase for statistical data analysis.
  • Used exclusively in formal reports and research.
  • Indicates a flexible, non-presumptive mathematical method.

मतलब

This phrase is a high-level academic way of saying you used a specific statistical method to analyze how data points are distributed without assuming a specific pattern. It's the kind of thing you'd only say in a research paper or a data science presentation.

मुख्य उदाहरण

3 / 7
1

Writing a scientific paper

Die nichtparametrische Dichteschätzung erfolgte mittels eines Gauß-Kernels.

The nonparametric density estimation was performed using a Gaussian kernel.

<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

Defending a Master's thesis

Wie in Abbildung 3 zu sehen, erfolgte die nichtparametrische Dichteschätzung mittels der Software R.

As seen in Figure 3, the nonparametric density estimation was performed using the R software.

<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

In a technical data report for a company

Zur Identifikation von Ausreißern erfolgte die nichtparametrische Dichteschätzung mittels Histogrammen.

To identify outliers, nonparametric density estimation was performed using histograms.

<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>
🌍

सांस्कृतिक पृष्ठभूमि

The 'Nominalstil' (noun-heavy style) is seen as a sign of intelligence and rigor. Professors often penalize students for using 'I' or 'We' too much. In Switzerland, technical German is even more influenced by English, but the 'erfolgte mittels' structure remains the gold standard for formal reports. Austrian formal German (Amtssprache) loves the word 'mittels'. It sounds very official and authoritative. Modern German data scientists often mix English terms (Kernel, Bandwidth) with German grammar (mittels des Kernels).

🎯

The Genitive Trap

Always check the gender of the noun after 'mittels'. If it's masculine or neuter, add an '-s' to the noun (e.g., mittels des Kernels).

⚠️

Register Overkill

Don't use this in a casual email to a colleague. It makes you look like you're trying too hard to be 'smart'.

15 सेकंड में

  • Academic phrase for statistical data analysis.
  • Used exclusively in formal reports and research.
  • Indicates a flexible, non-presumptive mathematical method.

What It Means

Imagine you have a pile of scattered data points. You want to see where they cluster most. Instead of assuming they fit a perfect bell curve, you use a flexible method to map them. That is nichtparametrische Dichteschätzung. The phrase simply says this process was done using a specific tool or method. It is pure academic German at its most precise.

How To Use It

You use this as a formal statement in a 'Methodology' section. It follows a passive structure. You start with the subject (the estimation). Then you use the verb erfolgte (occurred/took place). Finally, you add mittels (by means of) followed by your tool. It sounds very objective and professional. You are removing yourself from the sentence to let the science speak.

When To Use It

Use this in your Master's thesis or a doctoral dissertation. It is perfect for peer-reviewed journals. If you are a data scientist presenting to a board, this works too. It signals that you know your statistics. It also shows you have mastered high-level German academic style.

When NOT To Use It

Never use this in a casual conversation. Do not say this at a bar. If you tell a friend 'The estimation of my beer level occurred by means of my eyes,' they will think you are a robot. Avoid it in emails unless they are strictly professional reports. It is too heavy for daily life. It feels cold and clinical in personal settings.

Cultural Background

German academic culture deeply values 'Wissenschaftssprache' (scientific language). This involves using long, compound nouns like Dichteschätzung. It also favors the passive voice. This tradition stems from a desire for absolute objectivity. In Germany, being 'sachlich' (matter-of-fact) is a sign of high intelligence and reliability in professional fields.

Common Variations

You might see Die Dichteschätzung wurde mittels ... durchgeführt. Another variation is Zur Dichteschätzung wurde ... herangezogen. If you want to be slightly less formal, you could say Wir haben die Dichte mittels ... geschätzt. However, the original phrase remains the gold standard for formal writing.

इस्तेमाल की जानकारी

This phrase belongs to the highest register of German. It is strictly for written academic or technical work. Using it in speech is rare unless giving a formal lecture.

🎯

The Genitive Trap

Always check the gender of the noun after 'mittels'. If it's masculine or neuter, add an '-s' to the noun (e.g., mittels des Kernels).

⚠️

Register Overkill

Don't use this in a casual email to a colleague. It makes you look like you're trying too hard to be 'smart'.

उदाहरण

7
#1 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>

Die nichtparametrische Dichteschätzung erfolgte mittels eines Gauß-Kernels.

The nonparametric density estimation was performed using a Gaussian kernel.

This is the most standard academic use case.

#2 Defending a Master's thesis
<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>

Wie in Abbildung 3 zu sehen, erfolgte die nichtparametrische Dichteschätzung mittels der Software R.

As seen in Figure 3, the nonparametric density estimation was performed using the R software.

Used to explain methodology during a formal presentation.

#3 In a technical data report for a company
<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>

Zur Identifikation von Ausreißern erfolgte die nichtparametrische Dichteschätzung mittels Histogrammen.

To identify outliers, nonparametric density estimation was performed using histograms.

Professional context explaining data processing steps.

#4 Sarcastic comment among PhD students
<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>

Die nichtparametrische Dichteschätzung meiner Müdigkeit erfolgte mittels der Anzahl leerer Kaffeetassen.

The nonparametric density estimation of my tiredness was performed using the number of empty coffee cups.

A nerdy joke using high-level language for a trivial subject.

#5 Explaining a complex process to a colleague
<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 nichtparametrische Dichteschätzung erfolgte mittels eines adaptiven Algorithmus.

The nonparametric density estimation was performed using an adaptive algorithm.

Clear, technical communication between experts.

#6 Texting a study partner about a lab report
<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>

Hast du hingeschrieben, dass die nichtparametrische Dichteschätzung mittels Epanechnikov-Kern erfolgte?

Did you write down that the nonparametric density estimation was performed using the Epanechnikov kernel?

Even in a text, the technical term stays intact because it's a specific name.

#7 Frustrated researcher talking to themselves
<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>

Warum erfolgte die nichtparametrische Dichteschätzung mittels dieser veralteten Methode?!

Why was the nonparametric density estimation performed using this outdated method?!

Expressing frustration while still using the technical term.

खुद को परखो

Fill in the correct Genitive article.

Nichtparametrische Dichteschätzung erfolgte mittels ______ (der) Kernmethode.

✓ सही! ✗ बिलकुल नहीं। सही जवाब: der

'Mittels' requires the Genitive. 'Kernmethode' is feminine, so the Genitive article is 'der'.

Which sentence is appropriate for a PhD thesis?

Select the best option:

✓ सही! ✗ बिलकुल नहीं। सही जवाब: Nichtparametrische Dichteschätzung erfolgte mittels eines Kernels.

This option uses the correct technical terminology, passive voice, and Genitive case.

Match the German term with its English equivalent.

Match the following:

✓ सही! ✗ बिलकुल नहीं। सही जवाब: a

These are the direct academic translations.

🎉 स्कोर: /3

विज़ुअल लर्निंग टूल्स

अभ्यास बैंक

3 अभ्यास
Fill in the correct Genitive article. Fill Blank B2

Nichtparametrische Dichteschätzung erfolgte mittels ______ (der) Kernmethode.

✓ सही! ✗ बिलकुल नहीं। सही जवाब: der

'Mittels' requires the Genitive. 'Kernmethode' is feminine, so the Genitive article is 'der'.

Which sentence is appropriate for a PhD thesis? Choose C1

Select the best option:

✓ सही! ✗ बिलकुल नहीं। सही जवाब: Nichtparametrische Dichteschätzung erfolgte mittels eines Kernels.

This option uses the correct technical terminology, passive voice, and Genitive case.

Match the German term with its English equivalent. Match B1

बाईं ओर के प्रत्येक आइटम को दाईं ओर के उसके जोड़े से मिलाएं:

✓ सही! ✗ बिलकुल नहीं। सही जवाब: a

These are the direct academic translations.

🎉 स्कोर: /3

अक्सर पूछे जाने वाले सवाल

2 सवाल

In science, yes. It sounds more precise and formal. In daily life, 'mit' is much better.

Grammatically yes, but 'erfolgte' is the standard 'frozen' verb for this context.

संबंधित मुहावरे

🔗

Parametrische Verfahren

contrast

Methods that assume a specific distribution (like the bell curve).

🔗

Kern-Dichte-Schätzung

specialized form

A specific type of non-parametric estimation.

🔗

Inferenzstatistik

builds on

Inferential statistics.

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