Class of warrant discount rate.

No definition available.

Name:	NRXS_ClassOfWarrantDiscountRate
Namespace Prefix:	NRXS_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt instrument discount rate.

+ References

No definition available.

+ Details

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Namespace Prefix:	NRXS_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt instrument principal amount.

+ References

No definition available.

+ Details

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Namespace Prefix:	NRXS_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt warrant conversion description.

+ References

No definition available.

+ Details

Name:	NRXS_DebtWarrantConversionDescription
Namespace Prefix:	NRXS_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Payments of financing cost.

+ References

No definition available.

+ Details

Name:	NRXS_PaymentsOfFinancingCost
Namespace Prefix:	NRXS_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481112/505-10-50-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares.

+ References

+ Details

Name:	us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount of the total principal payments made during the annual reporting period.

+ References

+ Details

Name:	us-gaap_DebtInstrumentAnnualPrincipalPayment
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
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Period Type:	instant

- Definition

Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

+ References

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+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The price per share of the conversion feature embedded in the debt instrument.

+ References

+ Details

Name:	us-gaap_DebtInstrumentConvertibleConversionPrice1
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Ratio applied to the conversion of debt instrument into equity with equity shares divided by debt principal amount.

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

- Definition

Description of reference rate used for variable rate of debt instrument.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Face (par) amount of debt instrument at time of issuance.

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount of the required periodic payments including both interest and principal payments.

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Face (par) amount of the original debt instrument that was repurchased.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentRepurchasedFaceAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount of debt discount to be amortized within one year or within the normal operating cycle, if longer.

+ References

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+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount of unamortized debt discount (premium) and debt issuance costs.

+ References

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-Paragraph 4
-Subparagraph (b)(2)
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+ Details

Name:	us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Fair value as of the balance sheet date of the embedded derivative or group of embedded derivatives classified as a liability.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
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-SubTopic 10
-Section 50
-Paragraph 4B
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480434/815-10-50-4B

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Name:	us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The designation of funds furnished by a borrower to a lender to assure future payments of the borrower's real estate taxes and insurance obligations with respect to a mortgaged property. Escrow deposits may be made for a variety of other purposes such as earnest money and contingent payments. This element excludes replacement reserves which are an escrow separately provided for within the US GAAP taxonomy.

+ References

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-Paragraph 1
-Subparagraph (SX 210.9-03.10)
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Name:	us-gaap_EscrowDeposit
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount of expense (income) related to adjustment to fair value of warrant liability.

+ References

+ Details

Name:	us-gaap_FairValueAdjustmentOfWarrants
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Difference between the fair value of payments made and the carrying amount of debt which is extinguished prior to maturity.

+ References

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+ Details

Name:	us-gaap_GainsLossesOnExtinguishmentOfDebt
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Carrying value as of the balance sheet date of [accrued] interest payable on all forms of debt, including trade payables, that has been incurred and is unpaid. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

+ References

+ Details

Name:	us-gaap_InterestPayableCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Average amount outstanding of long-term debt.

+ References

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-Number 229
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-Paragraph (a)
-Publisher SEC

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-Number 229
-Section 1402
-Paragraph (b)
-Subparagraph (1)
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+ Details

Name:	us-gaap_LongTermDebtAverageAmountOutstanding
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Including the current and noncurrent portions, aggregate carrying amount of all types of notes payable, as of the balance sheet date, with initial maturities beyond one year or beyond the normal operating cycle, if longer.

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Name:	us-gaap_NotesPayable
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The cash outflow paid to third parties in connection with debt origination, which will be amortized over the remaining maturity period of the associated long-term debt.

+ References

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

The cash outflow for loan and debt issuance costs.

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Cash received for fees during the current period. This element excludes cash proceeds from license fees.

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The cash inflow associated with the amount received from entity's first offering of stock to the public.

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- Definition

The cash inflow during the period from additional borrowings in aggregate debt. Includes proceeds from short-term and long-term debt.

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Balance Type:	debit
Period Type:	duration

- Definition

The cash inflow from a borrowing supported by a written promise to pay an obligation.

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Period Type:	duration

- Definition

Per share or per unit amount of equity securities issued.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	na
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of new stock issued during the period.

+ References

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-Subparagraph (SX 210.3-04)
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-URI https://asc.fasb.org//1943274/2147480008/505-10-S99-1

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-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

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Fair value portion of warrants not settleable in cash classified as equity.

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-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
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Notes Payable (Details Narrative)									1 Months Ended	3 Months Ended	5 Months Ended	6 Months Ended		9 Months Ended	12 Months Ended
Notes Payable (Details Narrative)	Nov. 08, 2023 USD ($)	Aug. 31, 2023 USD ($)	Aug. 14, 2023 USD ($)	Aug. 09, 2023 $ / shares shares	Aug. 08, 2023 USD ($) $ / shares shares	Mar. 16, 2023 USD ($)	Dec. 19, 2022 USD ($) $ / shares	Jan. 01, 2022 USD ($)	Mar. 31, 2023 USD ($) $ / shares	Sep. 30, 2023 USD ($)	Jul. 31, 2023 USD ($)	Nov. 30, 2022 USD ($) $ / shares shares	Nov. 30, 2022 USD ($) $ / shares	Sep. 30, 2023 USD ($)	Dec. 31, 2023 USD ($) shares	Dec. 31, 2022 USD ($)	Dec. 31, 2024 USD ($)	May 24, 2023 USD ($)	Feb. 15, 2023 USD ($)	Sep. 16, 2022 USD ($)	Apr. 13, 2022 USD ($)	Dec. 16, 2021 USD ($)
Short-Term Debt [Line Items]
Principal of warrants and common shares fair value	$ 3,000,000															$ 3,555,556
Debt instrument, periodic payment	$ 200,000
Strilke price															0.80
Extinguishment of debt										$ (4,779,069)				$ (3,649,571)	$ (3,649,561)
Fair value adjustment of warrants										$ (592,853)				(791,610)	(844,854)	(606,049)
Fair value of embedded derivative															2,375,378
Embedded derivative warrant liability															2,446,502
Cash proceeds fair value of incentivies														$ 159,831	159,831	122,000
Original issue discount															962,223
Debt discount															0	3,327,213
Financing fees															552,000	130,000
Accrued interest															66,648	173,826
Convertible Notes Payable [Member]
Short-Term Debt [Line Items]
Accrued interest															$ 399,597	107,544
Common Stock [Member]
Short-Term Debt [Line Items]
Issuance of shares \| shares				164,801											425,000
Shares issued price per share \| $ / shares				$ 6.00
Forecast [Member]
Short-Term Debt [Line Items]
Minimum principal payment																	$ 148,062
Convertible Promissory Note [Member]
Short-Term Debt [Line Items]
Accrued interest											12.00%
Debt instrument discount rate											10.00%
Debt warrant conversion, description											a five-year warrant to purchase common stock equal to fifty percent (50%) of the shares into which the convertible notes can be converted into at issuance.
Strilke price											0.25
Convertible Promissory Note [Member] \| Common Stock [Member]
Short-Term Debt [Line Items]
Debt instrument discount rate											30.00%
Convertible Promissory Note [Member] \| Accredited Investors [Member]
Short-Term Debt [Line Items]
Debt instrument gross											$ 6,066,667
Net proceeds of debt											$ 4,908,000
2023 Convertible Notes [Member]
Short-Term Debt [Line Items]
Accrued interest									8.00%
Principal outstanding					$ 173,205				$ 2,650,000
Proceeds from issuance of ipo			$ 445,554
Debt instrument discount rate									27.50%
Issuance of shares \| shares					107,509
Shares issued price per share \| $ / shares					$ 4.35
Extinguishment of debt					$ 663,991				$ 1,129,653
Conversion price \| $ / shares									$ 4.35
2022 Convertible Notes [Member]
Short-Term Debt [Line Items]
Accrued interest							12.00%
Proceeds from issuance of ipo							$ 239,104
Debt instrument gross							222,222					$ 3,333,333	$ 3,333,333
Net proceeds of debt							$ 200,000						$ 2,870,000
Debt instrument discount rate							10.00%
Debt warrant conversion, description												a five-year warrant to purchase common stock equal to one hundred percent (100%) of the shares into which the 2022 Convertible Notes can be converted into at issuance.
Shares issued price per share \| $ / shares												$ 4.20	$ 4.20
Conversion price \| $ / shares							$ 9.44
Debt instrument description												original issue discount of 10% with an interest rate of the greater of (i) Prime rate plus 8.5% or (ii) 12%.
Exercise price \| $ / shares												$ 11.80	$ 11.80
Class of warrant discount rate												12.50%	12.50%
Offering costs																130,000
2022 Convertible Notes [Member] \| Minimum [Member]
Short-Term Debt [Line Items]
Conversion price \| $ / shares												$ 9.44	$ 9.44
2022 Convertible Notes [Member] \| Maximum [Member]
Short-Term Debt [Line Items]
Debt instrument discount rate												30.00%	30.00%
Principal amount in percent												10.00%	10.00%
2022 Convertible Notes [Member] \| Common Stock [Member]
Short-Term Debt [Line Items]
Issuance of shares \| shares												35,318
Fair value adjustment of warrants												$ 4,789
2023 and 2022 Convertible Notes [Member]
Short-Term Debt [Line Items]
Financing fees															$ 2,772
Financing fees																2,322,216
2023 and 2022 Convertible Notes [Member] \| Investors [Member]
Short-Term Debt [Line Items]
Principal of warrants and common shares fair value																11,947,212
Cash proceeds fair value of incentivies															8,660,000
Debt discount															2,234,988
Exchange Listing LLC [Member] \| Promissory Note [Member]
Short-Term Debt [Line Items]
Principal of warrants and common shares fair value																			$ 52,600
Accrued interest																			1.00%
Principal outstanding																			$ 3,000,000
Proceeds from issuance of ipo		$ 52,858
Channel Partners Capital [Member]
Short-Term Debt [Line Items]
Principal of warrants and common shares fair value																		$ 107,231		$ 122,000		$ 250,000
Accrued interest						40.90%
Principal outstanding					$ 226,391										148,062	$ 202,834
Debt instrument, periodic payment						$ 4,923
Principal outstanding								$ 244,048
Principal balance back																		$ 250,000		$ 250,000
Issuance of shares \| shares					1,498,332							44,048
Shares issued price per share \| $ / shares					$ 4.20
Extinguishment of debt					$ 4,115,223
Signature Bank [Member]
Short-Term Debt [Line Items]
Escrow deposit																					$ 6,000
Alexander Capital LP [Member] \| Warrant [Member]
Short-Term Debt [Line Items]
Deferred financing fees															$ 546,000
Number of warrants received \| shares															120,235