lemonergy· battery engineering courses

Lemonergy · Studio block

Dot product

Adds the pairwise products of two equal-length real arrays.

Implementation ID
native-dot-product
Reviewed
2026-10-27

Behavior

y = Σᵢ aᵢ bᵢ. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Dot product interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Dot productStudio blockin0in1out0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
in0input1A; real 3 array.
in1input1B; real 3 array.
out0output1Dot product; real scalar.

Parameters

No configurable parameters for this component.

Equations and rules

  • y = Σᵢ aᵢ bᵢ

Worked example

Dot product — worked example

A = [1,2,3]; B = [4,5,6]. Dot product at 0 s = 32.

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Dot product
out0		03211e-08

Explore the recorded outputs

Dot product recorded example

Dot product
Dot product against timeRecorded synthetic simulation values. Time in seconds; output in —.30.4031.20.25320.532.80.7533.61—Time (s)
Dot product: 32 — at 0 s

2 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.

Download the recorded samples (JSON) · Open this Studio example after release

Use in a workflow

Dot product — worked example

Adds the pairwise products of two equal-length real arrays.

  1. Dot product: y = Σᵢ aᵢ bᵢ. The worked example connects this operation to signals in Lemonergy Studio.
    • Use the block reference for settings and connections.
    • Implementation tested locally; public release pending.
Open Studio example after release

Connected concepts

Limits and interpretation

  • Real equal-length arrays; no conjugating complex dot product.
  • Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.

Scientific and mathematical references

These sources explain the scientific and mathematical background. The behavior, interface and limits above define the Lemonergy implementation; a citation does not imply every model option in the source is implemented.

  1. NIST Digital Library of Mathematical Functions, §3.2 Linear Algebra

    National Institute of Standards and Technology

    Technical reference · Linear algebra and matrix operations; conceptual background, not software certification.

Implementation sources

This reference follows the public interface and locally verified numerical checks for an upcoming release.

Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27

  • docs/glossary/native-block-verification.json

This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)