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TeleEng

math-reasoning-mcp

by TeleEng

Server Configuration

Describes the environment variables required to run the server.

NameRequiredDescriptionDefault

No arguments

Instructions

Guidance the server publishes about itself, which clients place ahead of the tool catalog so the model reads it before choosing anything.

This server publishes no instructions, or was last inspected before Glama recorded them.

Capabilities

Features and capabilities supported by this server

Protocol revision2025-11-25

CapabilityDetails
tools
{
  "listChanged": false
}
prompts
{
  "listChanged": false
}
resources
{
  "subscribe": false,
  "listChanged": false
}
experimental
{}

Tools

Functions exposed to the LLM to take actions

NameDescription
parse_latex_to_sympyA

Parses a LaTeX math string into a SymPy expression string, which can be used in other tools.

simplify_expressionC

Simplifies a mathematical expression using algebraic identities.

solve_equationB

Solves an equation for a given variable. Pass equation as 'lhs - rhs' (set equal to 0) or use Eq(lhs, rhs).

differentiateB

Computes the nth-order derivative of an expression with respect to a variable.

integrate_expressionA

Computes the indefinite integral of an expression with respect to a variable.

evaluate_expressionA

Evaluates a symbolic expression to a numeric result (floating-point).

partial_fraction_decompositionB

Performs Partial Fraction Decomposition on a rational function (crucial for inverse transforms).

laplace_transform_signalA

Computes the Laplace transform of a causal signal f(t). Returns F(s) and the convergence condition.

inverse_laplace_transform_signalB

Computes the Inverse Laplace transform of F(s). Returns f(t).

fourier_transform_signalB

Computes the continuous Fourier transform of a signal f(t). Returns F(w).

inverse_fourier_transform_signalA

Computes the Inverse Fourier transform of F(w). Returns f(t).

continuous_convolutionA

Computes the continuous-time convolution (f * g)(t) for causal signals. Automatically handles Heaviside (unit step) functions. Signals are assumed causal (zero for t < 0) unless they already contain Heaviside terms.

z_transform_signalA

Computes the one-sided Z-transform of a discrete signal x[n]. Returns X(z).

dtft_signalC

Computes the Discrete-Time Fourier Transform (DTFT) of x[n]. Returns X(W) where W is omega.

compute_fftB

Computes the Fast Fourier Transform (FFT) of a discrete numerical sequence using numpy. Returns complex-valued frequency bins.

uniform_quantizationA

Simulates uniform quantization of a continuous value. Returns the quantized value, quantization error, step size (Δ), and theoretical maximum SQNR.

poles_and_zerosA

Finds the poles and zeros of a system transfer function H(s) or H(z).

check_linearityA

Checks if a system is linear using the superposition principle.

For system_type='memoryless': expression is in terms of 'x' and optionally 't'. Example: 'x**2', '3x', 'tx + 5'

For system_type='difference': expression is a difference equation in terms of 'x_n', 'x_n1' (x[n-1]), 'x_n2' (x[n-2]), 'y_n1' (y[n-1]), etc. Example: 'x_n + x_n1' (y[n] = x[n] + x[n-1])

Returns whether the system is linear with a symbolic proof.

check_time_invarianceA

Checks if a system is time-invariant.

For system_type='memoryless': expression is in terms of 'x' and 't'. Computes y(t-t0) and T{x(t-t0)} and checks equality.

For system_type='difference': expression is in terms of 'x_n', 'x_n1', 'n'. A system depending explicitly on 'n' is time-variant. Computes y[n-n0] and T{x[n-n0]} and checks equality.

Returns whether the system is time-invariant with a symbolic proof.

step_by_step_laplaceA

Solves the Laplace transform of f(t) step-by-step, showing each transformation property applied (linearity, frequency shift, time multiplication). Returns both the derivation steps and the final answer.

step_by_step_algebraA

Solves an equation step-by-step, showing intermediate algebraic manipulations. Returns the solution process including factoring, simplification, and final roots.

Prompts

Interactive templates invoked by user choice

NameDescription

No prompts

Resources

Contextual data attached and managed by the client

NameDescription

No resources

TDQS

B3.2/5.0

Scored across 21 tools

Disambiguation4/5

Each tool targets a distinct operation or transform family, and the descriptions clearly separate direct computation from step-by-step variants. The main ambiguity is between solve_equation/step_by_step_algebra and laplace_transform_signal/step_by_step_laplace, but the stated outputs make the distinction usable.

Naming Consistency3/5

Transform and check tool families are consistent (laplace_transform_signal, inverse_laplace_transform_signal, check_linearity, check_time_invariance), but the overall set mixes verb_noun names, bare verbs like differentiate, and noun-phrase names like poles_and_zeros and uniform_quantization. The naming is readable and snake_case throughout, but not a uniform verb_noun pattern.

Tool Count3/5

With 21 tools, the server is on the heavy side and overlaps somewhat with redundant step-by-step variants. Most tools do serve distinct math or signals purposes, but the count sits in the borderline 16-25 range rather than being tightly scoped.

Completeness3/5

Core algebra, calculus, convolution, and major transforms are covered, including inverse Laplace and Fourier transforms. However, there are notable gaps such as inverse Z-transform, inverse DTFT, definite integration, limits, and series support, which leave dead ends for some signal workflows.

Maintenance

ActivityMaintained
ResponsivenessNo issues