direct sum
daɪˈrɛkt sʌm
Definition

Definition of direct sum - Reverso English Dictionary

Noun

1.
linear algebraTECH.block diagonal matrix with square matrix summandsTECH.
  • The matrix is a direct sum of smaller matrices.
component matrix summand
2.
mathematicsTECH.coproduct in categories like abelian groups or modulesTECH.
  • The direct sum of these modules is calculated.
3.
set theoryTECH.union of disjoint sets with summed elementsTECH.
  • The set is a direct sum of two disjoint sets.
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Expressions with direct

direct hitn.
action or statement with immediate powerful effect
Her comment was a direct hit on his ego.
direct linen.
phone connection without intermediaries
She called the manager on his direct line.
direct responsen.
immediate reaction to a stimulus or action
The joke received a direct response from the audience..
in a direct lineadv.
moving straight from one point to another
The road runs in a direct line to the city.
as a direct result ofadv.
because something happened right after another event
He lost his job as a direct result of the mistake.
come direct fromv.
arrive straight from a place or source without stops
These apples come direct from the farm.

Expressions with sum

sum upv.
summarize information or main points concisely
She summed up the meeting in a few sentences.
tidy sumn.
large amount of money
She inherited a tidy sum from her uncle.
princely sumn.
small amount of money
She was paid the princely sum of five dollars for her work.
sum of its partsn.
whole amount resulting from combining parts
The cake is more than the sum of its parts.
sum and substancen.
the most important part of something
The sum and substance of his speech was about unity.
for the modest sum ofadj.
describing a small or reasonable price
The book is available for the modest sum of $5.
sum of moneyn.
total amount of money calculated
He calculated the sum of money needed for the trip..
sum up meetingv.
give a brief summary of a meeting
He will sum up meeting highlights at the end.
lump sumn.
single complete payment made all at once
He received a lump sum for his work.
dim sumn.
Cantonese meal with tea and small dishes
We went for dim sum on Sunday morning.

Terms related to direct sum

💡 Terms in the same lexical field: analogies, antonyms, common collocates, words with same roots, hypernyms…
directiondirectivedirectlydirectoralgebraequationlinearmathematicsoperationspacetheoryvector

Examples of direct sum in a sentence

  • The direct sum of these modules is calculated easily.
  • We studied the direct sum in algebra class.
  • The concept of direct sum is crucial in this theory.
  • The algebraic structure is a direct sum of modules.
  • We calculated the direct sum of vector spaces.

View all translations of direct sum

✨Click below to see the appropriate translations facing each meaning.
  1. French:somme directe, somme orthogonale, ...
  2. German:Direktsumme, direkte Summe, ...
  3. Italian:somma diretta, somma diretta di moduli, ...
  4. Spanish:suma directa, suma coproducto, ...
  5. Portuguese:soma direta, união direta, ...
  6. Chinese:直和, 直和集, ...
  7. Japanese:直和, 直和集合, ...
  8. Arabic:مَجْمُوع مُبَاشِر, جَمْع مُبَاشِر, ...
  9. Hebrew:סְכוּם יָשִׁיר, ...
  10. Russian:прямая сумма, сумма модулей, ...
  11. Ukrainian:пряма сума, прямий сум, ...
  12. Hindi:प्रत्यक्ष योग, सह-उत्पाद, ...

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