uniformly distributed sequence (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun Phrase

Phonetic Transcription

/ˈjuː.nɪ.fɔːrm.li dɪˈstrɪb.juː.tɪd sɪˈkwɛns/

Meaning and Usage

A "uniformly distributed sequence" refers to a sequence of numbers or items that are spread out evenly across a certain range or domain. In mathematics and statistics, this term often relates to the concept of uniform distribution, where every outcome in a sample space is equally likely to occur. The term is frequently used in contexts such as probability theory, statistics, and computer science.

Frequency of Use

The phrase is more commonly used in written academic and technical contexts, especially in fields related to mathematics, statistics, and data analysis. Its usage is relatively specialized and may not be as frequent in everyday oral communication.

Example Sentences

1. The researchers generated a uniformly distributed sequence to test their algorithm's efficiency.
   Исследователи сгенерировали равномерно распределенную последовательность, чтобы протестировать эффективность своего алгоритма.

2. In random sampling, it is essential to use a uniformly distributed sequence to ensure the results are valid.
   В случайном отборе важно использовать равномерно распределенную последовательность, чтобы обеспечить действительность результатов.

3. The simulation requires inputs that follow a uniformly distributed sequence within the range of 0 to 1.
   Симуляция требует входных данных, которые следуют равномерно распределенной последовательности в пределах от 0 до 1.

Idiomatic Expressions

While “uniformly distributed sequence” does not have common idiomatic expressions, the concept of distribution may relate to a few mathematical idioms. Here are examples including related terms:

1. "Spread like wildfire"
   The information spread like wildfire, reflecting a uniformly distributed sequence of communication.
   Информация распространилась быстро, отражая равномерно распределенную последовательность коммуникации.

2. "On the same wavelength"
   The team was on the same wavelength, ensuring that ideas flowed in a uniformly distributed sequence.
   Команда была на одной волне, обеспечивая, чтобы идеи поступали равномерно распределенной последовательностью.

3. "Evenly matched"
   The two teams were evenly matched, performing in a uniformly distributed sequence of strengths.
   Обе команды были равносильны, демонстрируя равномерно распределенную последовательность сил.

Etymology

The term "uniformly" is derived from the Latin word "uniformis," meaning "having one form" or "consistent." The word “distributed” comes from the Latin “distribuere,” meaning “to divide among.” “Sequence” originates from the Latin word “sequentia,” which means "following." The amalgamation of these terms helps convey the idea of items or numbers following a consistent and even pattern.

Synonyms and Antonyms

Synonyms: - Evenly spread sequence - Equally distributed series - Homogeneously placed sequence

Antonyms: - Unevenly distributed sequence - Randomly arranged series - Disordered sequence