sum over

USAGE SUMMARY

"sum over" is a correct and usable phrase in written English.
It is typically used in mathematics or statistics to indicate the addition of multiple values. Example: The total cost can be calculated by summing over the individual expenses. In this sentence, "summing over" means adding together all of the individual expenses to find the total cost.

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

56 human-written examples

However, such improvements do not sum over space.

eLife

Therefore, we modify the average in equation 2 to sum over only the non-singleton counts.

BMC Genomics

The integrals are to "sum over" all possible values of the underlying allele frequencies.

Genetics

Although our results indicate that a linear term can improve local motion estimation, its benefits do not sum over space.

eLife

It is however not necessary for shared v, v') to sum over all subtrees of v and v'.

Algorithms for Molecular Biology

This money is the only sum over which these people have any control.

The Guardian - Opinion

Those fees can compound into a large sum over 30 years.

The New York Times

Perhaps the commercial influence of MLS and SUM over Concacaf will add to the pressure for reform of that competition?

The Guardian - Sport

Human-verified similar examples from authoritative sources

Similar Expressions

3 human-written examples

The proposed algorithms can then be modified by including additional sum-over-trips rules.

The Journal of Mathematical Neuroscience

Here, we propose to realise the sum-over-trips framework by a length-priority method.

The Journal of Mathematical Neuroscience

We have introduced a novel sum-over-histories method for solving the network history inference problem.

Bioinformatics

Expert writing Tips

Best practice

When using "sum over" in mathematical writing, ensure the index or range of summation is clearly defined to avoid ambiguity.

Common error

Avoid using "sum over" in contexts that do not involve actual addition or accumulation. For example, do not use "sum over" when you mean "consider" or "review".

Linguistic Context

The phrase "sum over" functions as a mathematical verb phrase, indicating the operation of adding a set of values. Ludwig AI confirms its usage in contexts where aggregation or total calculation is needed.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

20%

Formal & Business

10%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "sum over" is a mathematically precise expression used to describe the addition of a set of values. Ludwig AI analysis indicates it is grammatically correct and most frequently appears in scientific and technical contexts. When using "sum over", ensure clarity in defining the range of summation. While versatile, avoid misapplication outside of quantitative scenarios. Consider alternatives like "aggregate across" or "compute the total of" for specific nuances. In summary, "sum over" serves as a valuable tool in mathematical and scientific communication, but mindful application ensures accurate and effective writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

calculate the sum of

More verbose way to express the same operation using "calculate" instead of "sum".

determine the sum total of

Adds "total" for emphasis. More emphatic and slightly more formal.

aggregate across

Replaces "sum" with "aggregate" and "over" with "across", changing the action verb and preposition while maintaining the meaning of combining values.

find the aggregate of

Uses "aggregate" as a noun, indicating the result of a summing process.

totalize across

Uses "totalize" to mean to find the total, paired with "across" for distribution.

accumulate over

Emphasizes the building-up aspect of summation. More dynamic than "sum".

compute the total of

Rephrases the action as computing a total, rather than directly summing. It's less concise.

consolidate across

Implies combining and simplifying. Suited for situations where initial values are simplified while being combined.

add up all

An informal way of expressing summation. Suitable for less formal contexts.

overall calculation

Focuses on the result of the calculation as opposed to the action of summing itself. Suitable for context where we care more about the final number rather than the methodology.

FAQs

How do I use "sum over" in a sentence?

The phrase "sum over" is used to indicate the addition of a series of values. For example, "We need to "calculate the sum of" all the data points in the dataset" or "The total energy is found by "aggregating across" all frequencies".

What is a more formal way to say "sum over"?

In more formal contexts, you could use phrases like "compute the total of" or "determine the sum total of" to express the same mathematical operation with greater precision.

Can "sum over" be used in non-mathematical contexts?

While primarily used in mathematics and statistics, "sum over" can be metaphorically extended to mean 'consider comprehensively', though this usage is less common. You should be very precise and conscious to avoid ambiguity.

What is the difference between "sum over" and "accumulate across"?

"Sum over" specifically indicates the addition of discrete values, while "accumulate across" suggests a gradual increase or collection. The choice depends on whether you want to emphasize the additive process or the resulting accumulation.